Abstract group data - 1344.1752

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• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '16.10', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 84, 'aut_gen_orders': [12, 6, 12, 6, 28, 12, 6, 14, 4, 6], 'aut_gens': [[1, 2, 8, 64], [21, 34, 1160, 704], [37, 38, 428, 1216], [53, 34, 424, 1024], [945, 6, 1340, 320], [53, 34, 620, 512], [917, 2, 556, 1024], [37, 38, 424, 704], [1, 38, 616, 512], [949, 2, 364, 1280], [897, 6, 552, 640]], 'aut_group': None, 'aut_hash': 5255589997166976132, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 64512, 'aut_permdeg': 84, 'aut_perms': [2645757130353226340851577389306289961557245718704018386717650842332775431597889293751211791474208814889454222425308434301782933, 158301841173401424215411418697418085505068724778432213366926202593217393177336537749007274814796217703393211151593989929578487, 2806904706369255984767803257201834473671670431160234621166377124039430771499565538951687373596318651506488752218198623936792857, 1279845355368836692314617960379412518977759533854668944003965755901776904066519002633645934147465102834436258544292167629112862, 1552298546218502547282209567962106982252207170907123783971389811314915314342801392690003621102309610674323465210909434866258002, 2061007310851658925900817060429554806662049272297589483944839199262312448667642310684450819284623490787186471482927272641252265, 1209544965331375074592313983506516047554713541919245991232039529877500695214432725055760307338215666697106859951799274418445845, 2909674739151671676064344291289324949499465860510504414874543408449704967472093538865124770897156855882189524999085220178233636, 1319793570775483565499298597518314987974953541525938478668906239615282058048793403608958371827513812542024634486149169072930362, 2914358952133766134139943550878441820661996141666957998438299460327541783294934003339911618646272707813621032565608650020833996], 'aut_phi_ratio': 168.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 2, 1, 1], [4, 2, 1, 2], [4, 2, 2, 2], [4, 12, 2, 2], [4, 28, 2, 2], [6, 2, 1, 3], [7, 2, 3, 1], [8, 84, 2, 2], [12, 2, 4, 1], [12, 4, 1, 2], [12, 4, 2, 1], [12, 28, 4, 2], [14, 2, 3, 3], [21, 4, 3, 1], [28, 2, 12, 1], [28, 4, 3, 2], [28, 4, 6, 1], [28, 12, 12, 2], [42, 4, 3, 3], [84, 4, 6, 2], [84, 4, 12, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_{42}.(C_2^5\\times C_6).C_2^3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '64.267', 'autcent_hash': 267, 'autcent_nilpotent': True, 'autcent_order': 64, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^6', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 42, 'autcentquo_group': '1008.906', 'autcentquo_hash': 906, 'autcentquo_nilpotent': False, 'autcentquo_order': 1008, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\times D_6\\times F_7', 'cc_stats': [[1, 1, 1], [2, 1, 3], [3, 2, 1], [4, 2, 6], [4, 12, 4], [4, 28, 4], [6, 2, 3], [7, 2, 3], [8, 84, 4], [12, 2, 4], [12, 4, 4], [12, 28, 8], [14, 2, 9], [21, 4, 3], [28, 2, 12], [28, 4, 12], [28, 12, 24], [42, 4, 9], [84, 4, 36]], 'center_label': '4.2', 'center_order': 4, 'central_product': False, 'central_quotient': '336.157', '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': 1752, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [3, 2, 1, 1], [4, 2, 1, 2], [4, 2, 2, 2], [4, 12, 1, 2], [4, 12, 2, 1], [4, 28, 1, 2], [4, 28, 2, 1], [6, 2, 1, 3], [7, 2, 3, 1], [8, 84, 1, 2], [8, 84, 2, 1], [12, 2, 4, 1], [12, 4, 1, 2], [12, 4, 2, 1], [12, 28, 2, 2], [12, 28, 4, 1], [14, 2, 3, 3], [21, 4, 3, 1], [28, 2, 12, 1], [28, 4, 3, 2], [28, 4, 6, 1], [28, 12, 6, 2], [28, 12, 12, 1], [42, 4, 3, 3], [84, 4, 6, 2], [84, 4, 12, 2]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 10752, 'exponent': 168, 'exponents_of_order': [6, 1, 1], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 3, 7], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.2', 'frattini_quotient': '168.50', 'hash': 1752, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 84, 'inner_gen_orders': [2, 2, 4, 21], 'inner_gens': [[1, 2, 28, 512], [1, 2, 40, 64], [53, 34, 8, 1280], [897, 2, 136, 64]], 'inner_hash': 157, 'inner_nilpotent': False, 'inner_order': 336, 'inner_split': True, 'inner_tex': 'C_{42}:D_4', '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': '1344.1752', 'linC_count': 192, 'linC_degree': 5, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 14, 'linQ_degree_count': 144, 'linQ_dim': 16, 'linQ_dim_count': 16, 'linR_count': 48, 'linR_degree': 10, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C12.(C4*D14)', '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': 42, 'number_characteristic_subgroups': 64, 'number_conjugacy_classes': 150, 'number_divisions': 47, 'number_normal_subgroups': 78, 'number_subgroup_autclasses': 184, 'number_subgroup_classes': 216, 'number_subgroups': 1124, 'old_label': None, 'order': 1344, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 3], [3, 2], [4, 172], [6, 6], [7, 6], [8, 336], [12, 248], [14, 18], [21, 12], [28, 360], [42, 36], [84, 144]], 'outer_abelian': True, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 6, 'outer_gen_orders': [2, 2, 2, 2, 2, 6], 'outer_gen_pows': [0, 0, 0, 0, 0, 0], 'outer_gens': [[1, 2, 8, 512], [1, 34, 8, 64], [5, 2, 8, 64], [1, 2, 8, 832], [1, 6, 8, 64], [1, 2, 12, 1024]], 'outer_group': '192.1543', 'outer_hash': 1543, 'outer_nilpotent': True, 'outer_order': 192, 'outer_permdeg': 15, 'outer_perms': [3669864, 40320, 720, 24, 87178291200, 479001603], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^5\\times C_6', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 30, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 4], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 10], [4, 7], [6, 4], [8, 3], [12, 8], [24, 5], [48, 2]], 'representations': {'PC': {'code': 5559847664408758315843968661216716956590731836171, 'gens': [1, 2, 4, 7], 'pres': [8, -2, -2, -2, 2, -2, -2, -3, -7, 256, 41, 899, 651, 91, 1924, 116, 28678, 8990, 222, 9247]}, 'Perm': {'d': 30, 'gens': [305292256521385653292382276527, 51367510715353787520, 406261760842430777, 534682123137203047, 650199434828076120, 534682123137203040, 1175091669949317120000, 9452345886333784620057231360000]}}, 'schur_multiplier': [2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 4], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{12}.(C_4\\times D_{14})', 'transitive_degree': 1344, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

  Column	Type
  aut_label	text
  centralizer	text
  counter	integer
  group_counter	integer
  group_order	numeric
  label	text
  order	integer
  powers	integer[]
  representative	numeric
  size	numeric

  
  
  • id: 115687060
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 1752, 'group_order': 1344, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 115687122
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 1752, 'group_order': 1344, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 32, 'size': 1}
  • id: 115687133
    {'aut_label': '2B', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 1752, 'group_order': 1344, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 4, 'size': 1}
  • id: 115687144
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 1752, 'group_order': 1344, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 36, 'size': 1}
  • id: 115687155
    {'aut_label': '3A', 'centralizer': '2.b1.a1', 'counter': 5, 'group_counter': 1752, 'group_order': 1344, 'label': '3A', 'order': 3, 'powers': [5, 1, 5], 'representative': 448, 'size': 2}
  • id: 115687166
    {'aut_label': '4A', 'centralizer': '2.c1.a1', 'counter': 6, 'group_counter': 1752, 'group_order': 1344, 'label': '4A', 'order': 4, 'powers': [2, 6, 6], 'representative': 16, 'size': 2}
  • id: 115687177
    {'aut_label': '4B', 'centralizer': '2.c1.a1', 'counter': 7, 'group_counter': 1752, 'group_order': 1344, 'label': '4B', 'order': 4, 'powers': [2, 7, 7], 'representative': 20, 'size': 2}
  • id: 115687188
    {'aut_label': '4C1', 'centralizer': '2.a1.a1', 'counter': 8, 'group_counter': 1752, 'group_order': 1344, 'label': '4C1', 'order': 4, 'powers': [3, 9, 9], 'representative': 2, 'size': 2}
  • id: 115687199
    {'aut_label': '4C1', 'centralizer': '2.a1.a1', 'counter': 9, 'group_counter': 1752, 'group_order': 1344, 'label': '4C-1', 'order': 4, 'powers': [3, 8, 8], 'representative': 6, 'size': 2}
  • id: 115687061
    {'aut_label': '4D1', 'centralizer': '2.b1.a1', 'counter': 10, 'group_counter': 1752, 'group_order': 1344, 'label': '4D1', 'order': 4, 'powers': [4, 11, 11], 'representative': 18, 'size': 2}
  • id: 115687072
    {'aut_label': '4D1', 'centralizer': '2.b1.a1', 'counter': 11, 'group_counter': 1752, 'group_order': 1344, 'label': '4D-1', 'order': 4, 'powers': [4, 10, 10], 'representative': 54, 'size': 2}
  • id: 115687083
    {'aut_label': '4E', 'centralizer': '12.h1.a1', 'counter': 12, 'group_counter': 1752, 'group_order': 1344, 'label': '4E', 'order': 4, 'powers': [2, 12, 12], 'representative': 33, 'size': 12}
  • id: 115687094
    {'aut_label': '4E', 'centralizer': '12.h1.a1', 'counter': 13, 'group_counter': 1752, 'group_order': 1344, 'label': '4F', 'order': 4, 'powers': [2, 13, 13], 'representative': 49, 'size': 12}
  • id: 115687105
    {'aut_label': '4G1', 'centralizer': '12.h1.a1', 'counter': 14, 'group_counter': 1752, 'group_order': 1344, 'label': '4G1', 'order': 4, 'powers': [4, 15, 15], 'representative': 39, 'size': 12}
  • id: 115687116
    {'aut_label': '4G1', 'centralizer': '12.h1.a1', 'counter': 15, 'group_counter': 1752, 'group_order': 1344, 'label': '4G-1', 'order': 4, 'powers': [4, 14, 14], 'representative': 3, 'size': 12}
  • id: 115687118
    {'aut_label': '4H', 'centralizer': '28.k1.a1', 'counter': 16, 'group_counter': 1752, 'group_order': 1344, 'label': '4H', 'order': 4, 'powers': [2, 16, 16], 'representative': 1003, 'size': 28}
  • id: 115687119
    {'aut_label': '4H', 'centralizer': '28.k1.a1', 'counter': 17, 'group_counter': 1752, 'group_order': 1344, 'label': '4I', 'order': 4, 'powers': [2, 17, 17], 'representative': 1019, 'size': 28}
  • id: 115687120
    {'aut_label': '4J1', 'centralizer': '28.k1.a1', 'counter': 18, 'group_counter': 1752, 'group_order': 1344, 'label': '4J1', 'order': 4, 'powers': [3, 19, 19], 'representative': 973, 'size': 28}
  • id: 115687121
    {'aut_label': '4J1', 'centralizer': '28.k1.a1', 'counter': 19, 'group_counter': 1752, 'group_order': 1344, 'label': '4J-1', 'order': 4, 'powers': [3, 18, 18], 'representative': 969, 'size': 28}
  • id: 115687123
    {'aut_label': '6A', 'centralizer': '2.b1.a1', 'counter': 20, 'group_counter': 1752, 'group_order': 1344, 'label': '6A', 'order': 6, 'powers': [5, 2, 20], 'representative': 928, 'size': 2}
  • id: 115687124
    {'aut_label': '6B', 'centralizer': '2.b1.a1', 'counter': 21, 'group_counter': 1752, 'group_order': 1344, 'label': '6B', 'order': 6, 'powers': [5, 3, 21], 'representative': 900, 'size': 2}
  • id: 115687125
    {'aut_label': '6C', 'centralizer': '2.b1.a1', 'counter': 22, 'group_counter': 1752, 'group_order': 1344, 'label': '6C', 'order': 6, 'powers': [5, 4, 22], 'representative': 932, 'size': 2}
  • id: 115687126
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 23, 'group_counter': 1752, 'group_order': 1344, 'label': '7A1', 'order': 7, 'powers': [24, 25, 1], 'representative': 768, 'size': 2}
  • id: 115687127
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 1752, 'group_order': 1344, 'label': '7A2', 'order': 7, 'powers': [25, 23, 1], 'representative': 192, 'size': 2}
  • id: 115687128
    {'aut_label': '7A1', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 1752, 'group_order': 1344, 'label': '7A3', 'order': 7, 'powers': [23, 24, 1], 'representative': 960, 'size': 2}
  • id: 115687129
    {'aut_label': '8A', 'centralizer': '84.f1.a1', 'counter': 26, 'group_counter': 1752, 'group_order': 1344, 'label': '8A', 'order': 8, 'powers': [7, 26, 26], 'representative': 42, 'size': 84}
  • id: 115687130
    {'aut_label': '8A', 'centralizer': '84.f1.a1', 'counter': 27, 'group_counter': 1752, 'group_order': 1344, 'label': '8B', 'order': 8, 'powers': [7, 27, 27], 'representative': 14, 'size': 84}
  • id: 115687131
    {'aut_label': '8C1', 'centralizer': '84.g1.a1', 'counter': 28, 'group_counter': 1752, 'group_order': 1344, 'label': '8C1', 'order': 8, 'powers': [6, 29, 29], 'representative': 872, 'size': 84}
  • id: 115687132
    {'aut_label': '8C1', 'centralizer': '84.g1.a1', 'counter': 29, 'group_counter': 1752, 'group_order': 1344, 'label': '8C-1', 'order': 8, 'powers': [6, 28, 28], 'representative': 856, 'size': 84}
  • id: 115687134
    {'aut_label': '12A1', 'centralizer': '2.b1.a1', 'counter': 30, 'group_counter': 1752, 'group_order': 1344, 'label': '12A1', 'order': 12, 'powers': [22, 10, 33], 'representative': 502, 'size': 2}
  • id: 115687135
    {'aut_label': '12A1', 'centralizer': '2.b1.a1', 'counter': 31, 'group_counter': 1752, 'group_order': 1344, 'label': '12A-1', 'order': 12, 'powers': [22, 11, 32], 'representative': 914, 'size': 2}
  • id: 115687136
    {'aut_label': '12A1', 'centralizer': '2.b1.a1', 'counter': 32, 'group_counter': 1752, 'group_order': 1344, 'label': '12A5', 'order': 12, 'powers': [22, 10, 31], 'representative': 950, 'size': 2}
  • id: 115687137
    {'aut_label': '12A1', 'centralizer': '2.b1.a1', 'counter': 33, 'group_counter': 1752, 'group_order': 1344, 'label': '12A-5', 'order': 12, 'powers': [22, 11, 30], 'representative': 466, 'size': 2}
  • id: 115687138
    {'aut_label': '12B', 'centralizer': '4.a1.a1', 'counter': 34, 'group_counter': 1752, 'group_order': 1344, 'label': '12B', 'order': 12, 'powers': [20, 6, 34], 'representative': 496, 'size': 4}
  • id: 115687139
    {'aut_label': '12C', 'centralizer': '4.a1.a1', 'counter': 35, 'group_counter': 1752, 'group_order': 1344, 'label': '12C', 'order': 12, 'powers': [20, 7, 35], 'representative': 500, 'size': 4}
  • id: 115687140
    {'aut_label': '12D1', 'centralizer': '4.a1.a1', 'counter': 36, 'group_counter': 1752, 'group_order': 1344, 'label': '12D1', 'order': 12, 'powers': [21, 8, 37], 'representative': 454, 'size': 4}
  • id: 115687141
    {'aut_label': '12D1', 'centralizer': '4.a1.a1', 'counter': 37, 'group_counter': 1752, 'group_order': 1344, 'label': '12D-1', 'order': 12, 'powers': [21, 9, 36], 'representative': 898, 'size': 4}
  • id: 115687142
    {'aut_label': '12E1', 'centralizer': '28.k1.a1', 'counter': 38, 'group_counter': 1752, 'group_order': 1344, 'label': '12E1', 'order': 12, 'powers': [20, 16, 38], 'representative': 75, 'size': 28}
  • id: 115687143
    {'aut_label': '12E1', 'centralizer': '28.k1.a1', 'counter': 39, 'group_counter': 1752, 'group_order': 1344, 'label': '12E-1', 'order': 12, 'powers': [20, 16, 39], 'representative': 139, 'size': 28}
  • id: 115687145
    {'aut_label': '12E1', 'centralizer': '28.k1.a1', 'counter': 40, 'group_counter': 1752, 'group_order': 1344, 'label': '12F1', 'order': 12, 'powers': [20, 17, 40], 'representative': 91, 'size': 28}
  • id: 115687146
    {'aut_label': '12E1', 'centralizer': '28.k1.a1', 'counter': 41, 'group_counter': 1752, 'group_order': 1344, 'label': '12F-1', 'order': 12, 'powers': [20, 17, 41], 'representative': 79, 'size': 28}
  • id: 115687147
    {'aut_label': '12G1', 'centralizer': '28.k1.a1', 'counter': 42, 'group_counter': 1752, 'group_order': 1344, 'label': '12G1', 'order': 12, 'powers': [21, 18, 45], 'representative': 73, 'size': 28}
  • id: 115687148
    {'aut_label': '12G1', 'centralizer': '28.k1.a1', 'counter': 43, 'group_counter': 1752, 'group_order': 1344, 'label': '12G-1', 'order': 12, 'powers': [21, 19, 44], 'representative': 89, 'size': 28}
  • id: 115687149
    {'aut_label': '12G1', 'centralizer': '28.k1.a1', 'counter': 44, 'group_counter': 1752, 'group_order': 1344, 'label': '12G5', 'order': 12, 'powers': [21, 18, 43], 'representative': 137, 'size': 28}
  • id: 115687150
    {'aut_label': '12G1', 'centralizer': '28.k1.a1', 'counter': 45, 'group_counter': 1752, 'group_order': 1344, 'label': '12G-5', 'order': 12, 'powers': [21, 19, 42], 'representative': 77, 'size': 28}
  • id: 115687151
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 46, 'group_counter': 1752, 'group_order': 1344, 'label': '14A1', 'order': 14, 'powers': [23, 47, 2], 'representative': 416, 'size': 2}
  • id: 115687152
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 47, 'group_counter': 1752, 'group_order': 1344, 'label': '14A3', 'order': 14, 'powers': [25, 48, 2], 'representative': 1184, 'size': 2}
  • id: 115687153
    {'aut_label': '14A1', 'centralizer': '2.a1.a1', 'counter': 48, 'group_counter': 1752, 'group_order': 1344, 'label': '14A5', 'order': 14, 'powers': [24, 46, 2], 'representative': 608, 'size': 2}
  • id: 115687154
    {'aut_label': '14B1', 'centralizer': '2.a1.a1', 'counter': 49, 'group_counter': 1752, 'group_order': 1344, 'label': '14B1', 'order': 14, 'powers': [23, 50, 4], 'representative': 420, 'size': 2}
  • id: 115687156
    {'aut_label': '14B1', 'centralizer': '2.a1.a1', 'counter': 50, 'group_counter': 1752, 'group_order': 1344, 'label': '14B3', 'order': 14, 'powers': [25, 51, 4], 'representative': 1188, 'size': 2}
  • id: 115687157
    {'aut_label': '14B1', 'centralizer': '2.a1.a1', 'counter': 51, 'group_counter': 1752, 'group_order': 1344, 'label': '14B5', 'order': 14, 'powers': [24, 49, 4], 'representative': 612, 'size': 2}
  • id: 115687158
    {'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 52, 'group_counter': 1752, 'group_order': 1344, 'label': '14C1', 'order': 14, 'powers': [23, 53, 3], 'representative': 388, 'size': 2}
  • id: 115687159
    {'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 53, 'group_counter': 1752, 'group_order': 1344, 'label': '14C3', 'order': 14, 'powers': [25, 54, 3], 'representative': 1156, 'size': 2}
  • id: 115687160
    {'aut_label': '14C1', 'centralizer': '2.a1.a1', 'counter': 54, 'group_counter': 1752, 'group_order': 1344, 'label': '14C5', 'order': 14, 'powers': [24, 52, 3], 'representative': 580, 'size': 2}
  • id: 115687161
    {'aut_label': '21A1', 'centralizer': '4.a1.a1', 'counter': 55, 'group_counter': 1752, 'group_order': 1344, 'label': '21A1', 'order': 21, 'powers': [56, 23, 5], 'representative': 256, 'size': 4}
  • id: 115687162
    {'aut_label': '21A1', 'centralizer': '4.a1.a1', 'counter': 56, 'group_counter': 1752, 'group_order': 1344, 'label': '21A2', 'order': 21, 'powers': [57, 24, 5], 'representative': 512, 'size': 4}
  • id: 115687163
    {'aut_label': '21A1', 'centralizer': '4.a1.a1', 'counter': 57, 'group_counter': 1752, 'group_order': 1344, 'label': '21A4', 'order': 21, 'powers': [55, 25, 5], 'representative': 1024, 'size': 4}
  • id: 115687164
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 58, 'group_counter': 1752, 'group_order': 1344, 'label': '28A1', 'order': 28, 'powers': [52, 60, 8], 'representative': 198, 'size': 2}
  • id: 115687165
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 59, 'group_counter': 1752, 'group_order': 1344, 'label': '28A-1', 'order': 28, 'powers': [52, 61, 9], 'representative': 1154, 'size': 2}
  • id: 115687167
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 60, 'group_counter': 1752, 'group_order': 1344, 'label': '28A3', 'order': 28, 'powers': [53, 64, 9], 'representative': 578, 'size': 2}
  • id: 115687168
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 61, 'group_counter': 1752, 'group_order': 1344, 'label': '28A-3', 'order': 28, 'powers': [53, 65, 8], 'representative': 774, 'size': 2}
  • id: 115687169
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 62, 'group_counter': 1752, 'group_order': 1344, 'label': '28A5', 'order': 28, 'powers': [54, 69, 8], 'representative': 966, 'size': 2}
  • id: 115687170
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 63, 'group_counter': 1752, 'group_order': 1344, 'label': '28A-5', 'order': 28, 'powers': [54, 68, 9], 'representative': 386, 'size': 2}
  • id: 115687171
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 64, 'group_counter': 1752, 'group_order': 1344, 'label': '28A9', 'order': 28, 'powers': [54, 59, 8], 'representative': 390, 'size': 2}
  • id: 115687172
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 65, 'group_counter': 1752, 'group_order': 1344, 'label': '28A-9', 'order': 28, 'powers': [54, 58, 9], 'representative': 962, 'size': 2}
  • id: 115687173
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 66, 'group_counter': 1752, 'group_order': 1344, 'label': '28A11', 'order': 28, 'powers': [53, 62, 9], 'representative': 770, 'size': 2}
  • id: 115687174
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 67, 'group_counter': 1752, 'group_order': 1344, 'label': '28A-11', 'order': 28, 'powers': [53, 63, 8], 'representative': 582, 'size': 2}
  • id: 115687175
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 68, 'group_counter': 1752, 'group_order': 1344, 'label': '28A13', 'order': 28, 'powers': [52, 66, 8], 'representative': 1158, 'size': 2}
  • id: 115687176
    {'aut_label': '28A1', 'centralizer': '2.a1.a1', 'counter': 69, 'group_counter': 1752, 'group_order': 1344, 'label': '28A-13', 'order': 28, 'powers': [52, 67, 9], 'representative': 194, 'size': 2}
  • id: 115687178
    {'aut_label': '28B1', 'centralizer': '4.a1.a1', 'counter': 70, 'group_counter': 1752, 'group_order': 1344, 'label': '28B1', 'order': 28, 'powers': [46, 71, 6], 'representative': 240, 'size': 4}
  • id: 115687179
    {'aut_label': '28B1', 'centralizer': '4.a1.a1', 'counter': 71, 'group_counter': 1752, 'group_order': 1344, 'label': '28B3', 'order': 28, 'powers': [47, 72, 6], 'representative': 592, 'size': 4}
  • id: 115687180
    {'aut_label': '28B1', 'centralizer': '4.a1.a1', 'counter': 72, 'group_counter': 1752, 'group_order': 1344, 'label': '28B5', 'order': 28, 'powers': [48, 70, 6], 'representative': 1008, 'size': 4}
  • id: 115687181
    {'aut_label': '28C1', 'centralizer': '4.a1.a1', 'counter': 73, 'group_counter': 1752, 'group_order': 1344, 'label': '28C1', 'order': 28, 'powers': [46, 74, 7], 'representative': 244, 'size': 4}
  • id: 115687182
    {'aut_label': '28C1', 'centralizer': '4.a1.a1', 'counter': 74, 'group_counter': 1752, 'group_order': 1344, 'label': '28C3', 'order': 28, 'powers': [47, 75, 7], 'representative': 596, 'size': 4}
  • id: 115687183
    {'aut_label': '28C1', 'centralizer': '4.a1.a1', 'counter': 75, 'group_counter': 1752, 'group_order': 1344, 'label': '28C5', 'order': 28, 'powers': [48, 73, 7], 'representative': 1012, 'size': 4}
  • id: 115687184
    {'aut_label': '28D1', 'centralizer': '4.a1.a1', 'counter': 76, 'group_counter': 1752, 'group_order': 1344, 'label': '28D1', 'order': 28, 'powers': [49, 78, 10], 'representative': 246, 'size': 4}
  • id: 115687185
    {'aut_label': '28D1', 'centralizer': '4.a1.a1', 'counter': 77, 'group_counter': 1752, 'group_order': 1344, 'label': '28D-1', 'order': 28, 'powers': [49, 79, 11], 'representative': 1170, 'size': 4}
  • id: 115687186
    {'aut_label': '28D1', 'centralizer': '4.a1.a1', 'counter': 78, 'group_counter': 1752, 'group_order': 1344, 'label': '28D3', 'order': 28, 'powers': [50, 80, 11], 'representative': 594, 'size': 4}
  • id: 115687187
    {'aut_label': '28D1', 'centralizer': '4.a1.a1', 'counter': 79, 'group_counter': 1752, 'group_order': 1344, 'label': '28D-3', 'order': 28, 'powers': [50, 81, 10], 'representative': 822, 'size': 4}
  • id: 115687189
    {'aut_label': '28D1', 'centralizer': '4.a1.a1', 'counter': 80, 'group_counter': 1752, 'group_order': 1344, 'label': '28D5', 'order': 28, 'powers': [51, 77, 10], 'representative': 1014, 'size': 4}
  • id: 115687190
    {'aut_label': '28D1', 'centralizer': '4.a1.a1', 'counter': 81, 'group_counter': 1752, 'group_order': 1344, 'label': '28D-5', 'order': 28, 'powers': [51, 76, 11], 'representative': 402, 'size': 4}
  • id: 115687191
    {'aut_label': '28E1', 'centralizer': '12.h1.a1', 'counter': 82, 'group_counter': 1752, 'group_order': 1344, 'label': '28E1', 'order': 28, 'powers': [46, 84, 12], 'representative': 193, 'size': 12}
  • id: 115687192
    {'aut_label': '28E1', 'centralizer': '12.h1.a1', 'counter': 83, 'group_counter': 1752, 'group_order': 1344, 'label': '28E-1', 'order': 28, 'powers': [46, 85, 12], 'representative': 1153, 'size': 12}
  • id: 115687193
    {'aut_label': '28E1', 'centralizer': '12.h1.a1', 'counter': 84, 'group_counter': 1752, 'group_order': 1344, 'label': '28E3', 'order': 28, 'powers': [47, 87, 12], 'representative': 129, 'size': 12}
  • id: 115687194
    {'aut_label': '28E1', 'centralizer': '12.h1.a1', 'counter': 85, 'group_counter': 1752, 'group_order': 1344, 'label': '28E-3', 'order': 28, 'powers': [47, 86, 12], 'representative': 769, 'size': 12}
  • id: 115687195
    {'aut_label': '28E1', 'centralizer': '12.h1.a1', 'counter': 86, 'group_counter': 1752, 'group_order': 1344, 'label': '28E5', 'order': 28, 'powers': [48, 82, 12], 'representative': 65, 'size': 12}
  • id: 115687196
    {'aut_label': '28E1', 'centralizer': '12.h1.a1', 'counter': 87, 'group_counter': 1752, 'group_order': 1344, 'label': '28E-5', 'order': 28, 'powers': [48, 83, 12], 'representative': 385, 'size': 12}
  • id: 115687197
    {'aut_label': '28E1', 'centralizer': '12.h1.a1', 'counter': 88, 'group_counter': 1752, 'group_order': 1344, 'label': '28F1', 'order': 28, 'powers': [46, 90, 13], 'representative': 209, 'size': 12}
  • id: 115687198
    {'aut_label': '28E1', 'centralizer': '12.h1.a1', 'counter': 89, 'group_counter': 1752, 'group_order': 1344, 'label': '28F-1', 'order': 28, 'powers': [46, 91, 13], 'representative': 197, 'size': 12}
  • id: 115687200
    {'aut_label': '28E1', 'centralizer': '12.h1.a1', 'counter': 90, 'group_counter': 1752, 'group_order': 1344, 'label': '28F3', 'order': 28, 'powers': [47, 93, 13], 'representative': 145, 'size': 12}
  • id: 115687201
    {'aut_label': '28E1', 'centralizer': '12.h1.a1', 'counter': 91, 'group_counter': 1752, 'group_order': 1344, 'label': '28F-3', 'order': 28, 'powers': [47, 92, 13], 'representative': 133, 'size': 12}
  • id: 115687202
    {'aut_label': '28E1', 'centralizer': '12.h1.a1', 'counter': 92, 'group_counter': 1752, 'group_order': 1344, 'label': '28F5', 'order': 28, 'powers': [48, 88, 13], 'representative': 81, 'size': 12}
  • id: 115687203
    {'aut_label': '28E1', 'centralizer': '12.h1.a1', 'counter': 93, 'group_counter': 1752, 'group_order': 1344, 'label': '28F-5', 'order': 28, 'powers': [48, 89, 13], 'representative': 69, 'size': 12}
  • id: 115687204
    {'aut_label': '28G1', 'centralizer': '12.h1.a1', 'counter': 94, 'group_counter': 1752, 'group_order': 1344, 'label': '28G1', 'order': 28, 'powers': [49, 96, 14], 'representative': 195, 'size': 12}
  • id: 115687205
    {'aut_label': '28G1', 'centralizer': '12.h1.a1', 'counter': 95, 'group_counter': 1752, 'group_order': 1344, 'label': '28G-1', 'order': 28, 'powers': [49, 97, 15], 'representative': 211, 'size': 12}
  • id: 115687206
    {'aut_label': '28G1', 'centralizer': '12.h1.a1', 'counter': 96, 'group_counter': 1752, 'group_order': 1344, 'label': '28G3', 'order': 28, 'powers': [50, 100, 15], 'representative': 135, 'size': 12}
  • id: 115687207
    {'aut_label': '28G1', 'centralizer': '12.h1.a1', 'counter': 97, 'group_counter': 1752, 'group_order': 1344, 'label': '28G-3', 'order': 28, 'powers': [50, 101, 14], 'representative': 771, 'size': 12}
  • id: 115687208
    {'aut_label': '28G1', 'centralizer': '12.h1.a1', 'counter': 98, 'group_counter': 1752, 'group_order': 1344, 'label': '28G5', 'order': 28, 'powers': [51, 105, 14], 'representative': 67, 'size': 12}
  • id: 115687209
    {'aut_label': '28G1', 'centralizer': '12.h1.a1', 'counter': 99, 'group_counter': 1752, 'group_order': 1344, 'label': '28G-5', 'order': 28, 'powers': [51, 104, 15], 'representative': 83, 'size': 12}
  • id: 115687062
    {'aut_label': '28G1', 'centralizer': '12.h1.a1', 'counter': 100, 'group_counter': 1752, 'group_order': 1344, 'label': '28G9', 'order': 28, 'powers': [51, 95, 14], 'representative': 387, 'size': 12}
  • id: 115687063
    {'aut_label': '28G1', 'centralizer': '12.h1.a1', 'counter': 101, 'group_counter': 1752, 'group_order': 1344, 'label': '28G-9', 'order': 28, 'powers': [51, 94, 15], 'representative': 71, 'size': 12}
  • id: 115687064
    {'aut_label': '28G1', 'centralizer': '12.h1.a1', 'counter': 102, 'group_counter': 1752, 'group_order': 1344, 'label': '28G11', 'order': 28, 'powers': [50, 98, 15], 'representative': 147, 'size': 12}
  • id: 115687065
    {'aut_label': '28G1', 'centralizer': '12.h1.a1', 'counter': 103, 'group_counter': 1752, 'group_order': 1344, 'label': '28G-11', 'order': 28, 'powers': [50, 99, 14], 'representative': 131, 'size': 12}
  • id: 115687066
    {'aut_label': '28G1', 'centralizer': '12.h1.a1', 'counter': 104, 'group_counter': 1752, 'group_order': 1344, 'label': '28G13', 'order': 28, 'powers': [49, 102, 14], 'representative': 1155, 'size': 12}
  • id: 115687067
    {'aut_label': '28G1', 'centralizer': '12.h1.a1', 'counter': 105, 'group_counter': 1752, 'group_order': 1344, 'label': '28G-13', 'order': 28, 'powers': [49, 103, 15], 'representative': 199, 'size': 12}
  • id: 115687068
    {'aut_label': '42A1', 'centralizer': '4.a1.a1', 'counter': 106, 'group_counter': 1752, 'group_order': 1344, 'label': '42A1', 'order': 42, 'powers': [55, 46, 20], 'representative': 160, 'size': 4}
  • id: 115687069
    {'aut_label': '42A1', 'centralizer': '4.a1.a1', 'counter': 107, 'group_counter': 1752, 'group_order': 1344, 'label': '42A5', 'order': 42, 'powers': [56, 48, 20], 'representative': 672, 'size': 4}
  • id: 115687070
    {'aut_label': '42A1', 'centralizer': '4.a1.a1', 'counter': 108, 'group_counter': 1752, 'group_order': 1344, 'label': '42A11', 'order': 42, 'powers': [57, 47, 20], 'representative': 96, 'size': 4}
  • id: 115687071
    {'aut_label': '42B1', 'centralizer': '4.a1.a1', 'counter': 109, 'group_counter': 1752, 'group_order': 1344, 'label': '42B1', 'order': 42, 'powers': [55, 52, 21], 'representative': 132, 'size': 4}
  • id: 115687073
    {'aut_label': '42B1', 'centralizer': '4.a1.a1', 'counter': 110, 'group_counter': 1752, 'group_order': 1344, 'label': '42B5', 'order': 42, 'powers': [56, 54, 21], 'representative': 644, 'size': 4}
  • id: 115687074
    {'aut_label': '42B1', 'centralizer': '4.a1.a1', 'counter': 111, 'group_counter': 1752, 'group_order': 1344, 'label': '42B11', 'order': 42, 'powers': [57, 53, 21], 'representative': 68, 'size': 4}
  • id: 115687075
    {'aut_label': '42C1', 'centralizer': '4.a1.a1', 'counter': 112, 'group_counter': 1752, 'group_order': 1344, 'label': '42C1', 'order': 42, 'powers': [55, 49, 22], 'representative': 164, 'size': 4}
  • id: 115687076
    {'aut_label': '42C1', 'centralizer': '4.a1.a1', 'counter': 113, 'group_counter': 1752, 'group_order': 1344, 'label': '42C5', 'order': 42, 'powers': [56, 51, 22], 'representative': 676, 'size': 4}
  • id: 115687077
    {'aut_label': '42C1', 'centralizer': '4.a1.a1', 'counter': 114, 'group_counter': 1752, 'group_order': 1344, 'label': '42C11', 'order': 42, 'powers': [57, 50, 22], 'representative': 100, 'size': 4}
  • id: 115687078
    {'aut_label': '84A1', 'centralizer': '4.a1.a1', 'counter': 115, 'group_counter': 1752, 'group_order': 1344, 'label': '84A1', 'order': 84, 'powers': [106, 70, 34], 'representative': 80, 'size': 4}
  • id: 115687079
    {'aut_label': '84A1', 'centralizer': '4.a1.a1', 'counter': 116, 'group_counter': 1752, 'group_order': 1344, 'label': '84A-1', 'order': 84, 'powers': [106, 70, 34], 'representative': 112, 'size': 4}
  • id: 115687080
    {'aut_label': '84A1', 'centralizer': '4.a1.a1', 'counter': 117, 'group_counter': 1752, 'group_order': 1344, 'label': '84A5', 'order': 84, 'powers': [107, 72, 34], 'representative': 336, 'size': 4}
  • id: 115687081
    {'aut_label': '84A1', 'centralizer': '4.a1.a1', 'counter': 118, 'group_counter': 1752, 'group_order': 1344, 'label': '84A-5', 'order': 84, 'powers': [107, 72, 34], 'representative': 144, 'size': 4}
  • id: 115687082
    {'aut_label': '84A1', 'centralizer': '4.a1.a1', 'counter': 119, 'group_counter': 1752, 'group_order': 1344, 'label': '84A11', 'order': 84, 'powers': [108, 71, 34], 'representative': 272, 'size': 4}
  • id: 115687084
    {'aut_label': '84A1', 'centralizer': '4.a1.a1', 'counter': 120, 'group_counter': 1752, 'group_order': 1344, 'label': '84A-11', 'order': 84, 'powers': [108, 71, 34], 'representative': 656, 'size': 4}
  • id: 115687085
    {'aut_label': '84B1', 'centralizer': '4.a1.a1', 'counter': 121, 'group_counter': 1752, 'group_order': 1344, 'label': '84B1', 'order': 84, 'powers': [106, 73, 35], 'representative': 84, 'size': 4}
  • id: 115687086
    {'aut_label': '84B1', 'centralizer': '4.a1.a1', 'counter': 122, 'group_counter': 1752, 'group_order': 1344, 'label': '84B-1', 'order': 84, 'powers': [106, 73, 35], 'representative': 116, 'size': 4}
  • id: 115687087
    {'aut_label': '84B1', 'centralizer': '4.a1.a1', 'counter': 123, 'group_counter': 1752, 'group_order': 1344, 'label': '84B5', 'order': 84, 'powers': [107, 75, 35], 'representative': 340, 'size': 4}
  • id: 115687088
    {'aut_label': '84B1', 'centralizer': '4.a1.a1', 'counter': 124, 'group_counter': 1752, 'group_order': 1344, 'label': '84B-5', 'order': 84, 'powers': [107, 75, 35], 'representative': 148, 'size': 4}
  • id: 115687089
    {'aut_label': '84B1', 'centralizer': '4.a1.a1', 'counter': 125, 'group_counter': 1752, 'group_order': 1344, 'label': '84B11', 'order': 84, 'powers': [108, 74, 35], 'representative': 276, 'size': 4}
  • id: 115687090
    {'aut_label': '84B1', 'centralizer': '4.a1.a1', 'counter': 126, 'group_counter': 1752, 'group_order': 1344, 'label': '84B-11', 'order': 84, 'powers': [108, 74, 35], 'representative': 660, 'size': 4}
  • id: 115687091
    {'aut_label': '84C1', 'centralizer': '4.a1.a1', 'counter': 127, 'group_counter': 1752, 'group_order': 1344, 'label': '84C1', 'order': 84, 'powers': [109, 58, 36], 'representative': 66, 'size': 4}
  • id: 115687092
    {'aut_label': '84C1', 'centralizer': '4.a1.a1', 'counter': 128, 'group_counter': 1752, 'group_order': 1344, 'label': '84C-1', 'order': 84, 'powers': [109, 59, 37], 'representative': 102, 'size': 4}
  • id: 115687093
    {'aut_label': '84C1', 'centralizer': '4.a1.a1', 'counter': 129, 'group_counter': 1752, 'group_order': 1344, 'label': '84C5', 'order': 84, 'powers': [110, 62, 36], 'representative': 322, 'size': 4}
  • id: 115687095
    {'aut_label': '84C1', 'centralizer': '4.a1.a1', 'counter': 130, 'group_counter': 1752, 'group_order': 1344, 'label': '84C-5', 'order': 84, 'powers': [110, 63, 37], 'representative': 134, 'size': 4}
  • id: 115687096
    {'aut_label': '84C1', 'centralizer': '4.a1.a1', 'counter': 131, 'group_counter': 1752, 'group_order': 1344, 'label': '84C11', 'order': 84, 'powers': [111, 66, 37], 'representative': 262, 'size': 4}
  • id: 115687097
    {'aut_label': '84C1', 'centralizer': '4.a1.a1', 'counter': 132, 'group_counter': 1752, 'group_order': 1344, 'label': '84C-11', 'order': 84, 'powers': [111, 67, 36], 'representative': 642, 'size': 4}
  • id: 115687098
    {'aut_label': '84C1', 'centralizer': '4.a1.a1', 'counter': 133, 'group_counter': 1752, 'group_order': 1344, 'label': '84C13', 'order': 84, 'powers': [109, 68, 36], 'representative': 98, 'size': 4}
  • id: 115687099
    {'aut_label': '84C1', 'centralizer': '4.a1.a1', 'counter': 134, 'group_counter': 1752, 'group_order': 1344, 'label': '84C-13', 'order': 84, 'powers': [109, 69, 37], 'representative': 70, 'size': 4}
  • id: 115687100
    {'aut_label': '84C1', 'centralizer': '4.a1.a1', 'counter': 135, 'group_counter': 1752, 'group_order': 1344, 'label': '84C19', 'order': 84, 'powers': [110, 65, 37], 'representative': 326, 'size': 4}
  • id: 115687101
    {'aut_label': '84C1', 'centralizer': '4.a1.a1', 'counter': 136, 'group_counter': 1752, 'group_order': 1344, 'label': '84C-19', 'order': 84, 'powers': [110, 64, 36], 'representative': 130, 'size': 4}
  • id: 115687102
    {'aut_label': '84C1', 'centralizer': '4.a1.a1', 'counter': 137, 'group_counter': 1752, 'group_order': 1344, 'label': '84C25', 'order': 84, 'powers': [111, 61, 36], 'representative': 258, 'size': 4}
  • id: 115687103
    {'aut_label': '84C1', 'centralizer': '4.a1.a1', 'counter': 138, 'group_counter': 1752, 'group_order': 1344, 'label': '84C-25', 'order': 84, 'powers': [111, 60, 37], 'representative': 646, 'size': 4}
  • id: 115687104
    {'aut_label': '84D1', 'centralizer': '4.a1.a1', 'counter': 139, 'group_counter': 1752, 'group_order': 1344, 'label': '84D1', 'order': 84, 'powers': [112, 76, 30], 'representative': 82, 'size': 4}
  • id: 115687106
    {'aut_label': '84D1', 'centralizer': '4.a1.a1', 'counter': 140, 'group_counter': 1752, 'group_order': 1344, 'label': '84D-1', 'order': 84, 'powers': [112, 77, 31], 'representative': 86, 'size': 4}
  • id: 115687107
    {'aut_label': '84D1', 'centralizer': '4.a1.a1', 'counter': 141, 'group_counter': 1752, 'group_order': 1344, 'label': '84D5', 'order': 84, 'powers': [113, 80, 32], 'representative': 146, 'size': 4}
  • id: 115687108
    {'aut_label': '84D1', 'centralizer': '4.a1.a1', 'counter': 142, 'group_counter': 1752, 'group_order': 1344, 'label': '84D-5', 'order': 84, 'powers': [113, 81, 33], 'representative': 150, 'size': 4}
  • id: 115687109
    {'aut_label': '84D1', 'centralizer': '4.a1.a1', 'counter': 143, 'group_counter': 1752, 'group_order': 1344, 'label': '84D11', 'order': 84, 'powers': [114, 78, 31], 'representative': 278, 'size': 4}
  • id: 115687110
    {'aut_label': '84D1', 'centralizer': '4.a1.a1', 'counter': 144, 'group_counter': 1752, 'group_order': 1344, 'label': '84D-11', 'order': 84, 'powers': [114, 79, 30], 'representative': 274, 'size': 4}
  • id: 115687111
    {'aut_label': '84D1', 'centralizer': '4.a1.a1', 'counter': 145, 'group_counter': 1752, 'group_order': 1344, 'label': '84D17', 'order': 84, 'powers': [114, 79, 32], 'representative': 722, 'size': 4}
  • id: 115687112
    {'aut_label': '84D1', 'centralizer': '4.a1.a1', 'counter': 146, 'group_counter': 1752, 'group_order': 1344, 'label': '84D-17', 'order': 84, 'powers': [114, 78, 33], 'representative': 726, 'size': 4}
  • id: 115687113
    {'aut_label': '84D1', 'centralizer': '4.a1.a1', 'counter': 147, 'group_counter': 1752, 'group_order': 1344, 'label': '84D23', 'order': 84, 'powers': [113, 81, 31], 'representative': 182, 'size': 4}
  • id: 115687114
    {'aut_label': '84D1', 'centralizer': '4.a1.a1', 'counter': 148, 'group_counter': 1752, 'group_order': 1344, 'label': '84D-23', 'order': 84, 'powers': [113, 80, 30], 'representative': 178, 'size': 4}
  • id: 115687115
    {'aut_label': '84D1', 'centralizer': '4.a1.a1', 'counter': 149, 'group_counter': 1752, 'group_order': 1344, 'label': '84D29', 'order': 84, 'powers': [112, 76, 32], 'representative': 114, 'size': 4}
  • id: 115687117
    {'aut_label': '84D1', 'centralizer': '4.a1.a1', 'counter': 150, 'group_counter': 1752, 'group_order': 1344, 'label': '84D-29', 'order': 84, 'powers': [112, 77, 33], 'representative': 118, '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: 5676843
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.1a', '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: 5676854
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.1b', '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: 5676865
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.1c', '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: 5676876
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.1d', '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: 5676885
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.1e', '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: 5676886
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.1f', '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: 5676887
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.1g', '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: 5676888
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.1h', '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: 5676889
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.1i', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, -2, 2, 0, 2, -2, -2, 2, 2, 2, -2, 0, 0, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 2, 0, 0, 2, 0, -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, -2, 0, -2, 2, 2, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, -2, -2, 0, 2, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 2], 'schur_index': 1}
  • id: 5676844
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 2, -2, 0, 2, -2, -2, 2, 2, 2, 2, 0, 0, -2, 0, 0, 0, 0, -2, 2, 0, 0, 0, -2, 0, 0, -2, 0, 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, -2, 0, -2, 2, 2, 0, 0, 2, 0, 0, 0, -2, 0, 0, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, -2, -2, 0, 2, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 2], 'schur_index': 1}
  • id: 5676845
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 2, -2, 0, 0, 0, -2, 2, 0, 2, -2, -2, 2, 2, 2, 2, 0, 0, -2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 2, 0, 0, 2, 0, -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, -2, 0, -2, 2, 2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, -2, -2, 0, 2, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 2], 'schur_index': 1}
  • id: 5676846
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.1l', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, -2, 2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 2, -2, 0, 2, -2, -2, 2, 2, 2, -2, 0, 0, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, -2, 0, 0, -2, 0, 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, -2, 0, -2, 2, 2, 0, 0, 2, 0, 0, 0, -2, 0, 0, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, -2, -2, 0, 2, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 2], 'schur_index': 1}
  • id: 5676847
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, -1, -1, -1, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 5676848
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 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, -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: 5676849
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -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, 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: 5676850
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2d', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, -2, 2, 2, -2, -1, -1, -1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 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, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -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: 5676851
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2e', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 2, -2, -2, 2, -1, -1, -1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 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, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -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: 5676852
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2f', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -2, -2, -2, -2, -1, -1, -1, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 5676853
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2g', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, -4, -4, -4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, -4, -4, 0, 0, -4, 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, 4, 4, -4, -4, -4, -4, 4, -4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 0, 0, 4, 4, 0, -4, 0, 0, -4, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, -4], 'schur_index': 1}
  • id: 5676855
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2h', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -2, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, -2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, -2, 0, 0, -2, 0, 2, 2, 4, 4, -4, 4, -4, -4, -4, -4, -4, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 4, 4, 0, 0, 4, 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, -2, -2, 2, 2, 2, 2, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 0, 0, 2, 2, 0, -2, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, -2], 'schur_index': 1}
  • id: 5676856
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2i', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -2, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, -2, 2, 2, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 0, 0, 2, 0, 0, 2, 0, -2, -2, 4, 4, -4, 4, -4, -4, -4, -4, -4, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 4, 4, 0, 0, 4, 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, -2, -2, 2, 2, 2, 2, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 0, 0, 2, 2, 0, -2, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, -2], 'schur_index': 1}
  • id: 5676857
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2j', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -2, -4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 4, 4, 4, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, -4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, -2, -2, 2, 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: 5676858
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2k', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -2, -4, -4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 4, 4, 4, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 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, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -2, 2, 2, -2, 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: 5676870
    {'cdim': 4, 'counter': 34, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.4a', 'multiplicity': 1, 'nt': [16, 32], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, -4, 4, 4, -4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, -4, -4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 5676871
    {'cdim': 4, 'counter': 35, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.4b', 'multiplicity': 1, 'nt': [16, 32], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 4, 4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 5676859
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2l', 'multiplicity': 3, 'nt': [7, 2], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, -1, -1, -1, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 5676860
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2m', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, -6, -6, -6, -6, -6, -6, 6, 6, 0, 0, 0, 0, 6, 6, 6, -1, -1, -1, 0, 0, 0, 0, -6, -6, -6, -6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -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: 5676861
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2n', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, -6, -6, -6, -6, 6, 6, -6, -6, 0, 0, 0, 0, 6, 6, 6, -1, -1, -1, 0, 0, 0, 0, -6, -6, -6, -6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -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: 5676862
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2o', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, -6, -6, -6, -6, 0, 0, 0, 0, 6, 6, 6, -1, -1, -1, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 5676863
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2p', 'multiplicity': 4, 'nt': [24, 19], 'qdim': 8, 'qvalues': [8, 8, -8, -8, -4, 8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, -8, 8, -8, -8, -8, -8, -8, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, -8, -8, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, 4, 4, -4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 0, 0, -4, -4, 0, 4, 0, 0, 4, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 4], 'schur_index': 1}
  • id: 5676872
    {'cdim': 4, 'counter': 36, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.4c', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 8, -8, 8, 8, -8, -8, -8, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5676873
    {'cdim': 4, 'counter': 37, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.4d', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, 8, -8, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, -8, -8, -8, 8, 8, 8, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, -4, 4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 5676864
    {'cdim': 2, 'counter': 29, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2q', 'multiplicity': 6, 'nt': [28, 6], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, -12, -12, -12, -12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, -2, -2, -2, 0, 0, 0, 0, 12, 12, 12, 12, -12, -12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, -2, -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, 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: 5676866
    {'cdim': 2, 'counter': 30, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2r', 'multiplicity': 6, 'nt': [28, 6], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, -12, -12, 12, 12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 12, 12, 12, -2, -2, -2, 0, 0, 0, 0, -12, -12, -12, -12, -12, -12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 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, -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: 5676867
    {'cdim': 2, 'counter': 31, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2s', 'multiplicity': 6, 'nt': [28, 8], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 12, -12, 12, 0, 0, 0, 0, -12, 12, 0, 0, 0, 0, 0, 0, 12, -12, -12, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, -2, 0, 0, -2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 0, 0, 2, 2, 0, -2, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, -2], 'schur_index': 1}
  • id: 5676868
    {'cdim': 2, 'counter': 32, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2t', 'multiplicity': 6, 'nt': [28, 8], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 12, -12, 12, 0, 0, 0, 0, 12, -12, 0, 0, 0, 0, 0, 0, 12, -12, -12, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, -2, 0, 0, -2, 0, 0, 0, 2, 0, 0, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, -2, 2, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 0, 0, 2, 2, 0, -2, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, -2], 'schur_index': 1}
  • id: 5676874
    {'cdim': 4, 'counter': 38, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.4e', 'multiplicity': 3, 'nt': [21, 8], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -6, 12, 12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -2, -2, -2, 0, 0, 0, 0, -6, -6, -6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -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, -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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 5676875
    {'cdim': 4, 'counter': 39, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.4f', 'multiplicity': 3, 'nt': [42, 36], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -6, 12, 12, -12, -12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -2, -2, -2, 0, 0, 0, 0, 6, 6, 6, 6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -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, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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: 5676877
    {'cdim': 4, 'counter': 40, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.4g', 'multiplicity': 3, 'nt': [84, 0], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -6, -12, -12, -12, -12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -2, -2, -2, 0, 0, 0, 0, -6, -6, -6, -6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, -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, -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, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -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': 2}
  • id: 5676878
    {'cdim': 4, 'counter': 41, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.4h', 'multiplicity': 3, 'nt': [84, 0], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -6, -12, -12, 12, 12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -2, -2, -2, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, -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, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -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': 2}
  • id: 5676869
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.2u', 'multiplicity': 12, 'nt': [56, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, 24, 24, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, -24, -24, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 24, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, -4, 4, 4, 4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 4, 4, 0, 0, 4, 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, -4, -4, 4, 4, 4, 4, -4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 0, 0, -4, -4, 0, 4, 0, 0, 4, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 4], 'schur_index': 1}
  • id: 5676879
    {'cdim': 4, 'counter': 42, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.4i', 'multiplicity': 6, 'nt': [84, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, -12, -24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 12, 12, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, -4, 4, 4, 4, 4, 4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, -4, -4, 0, 0, -4, 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, 2, 2, -2, -2, -2, -2, 2, -2, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 0, 0, -2, -2, 0, 2, 0, 0, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, -2, 2], 'schur_index': 1}
  • id: 5676880
    {'cdim': 4, 'counter': 43, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.4j', 'multiplicity': 6, 'nt': [112, 0], 'qdim': 24, 'qvalues': [24, -24, -24, 24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, -24, 24, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, -4, -4, 4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, 4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 5676881
    {'cdim': 4, 'counter': 44, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.4k', 'multiplicity': 6, 'nt': [112, 0], 'qdim': 24, 'qvalues': [24, -24, 24, -24, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 24, -24, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -4, -4, 4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 5676882
    {'cdim': 4, 'counter': 45, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.4l', 'multiplicity': 6, 'nt': [168, 0], 'qdim': 24, 'qvalues': [24, 24, -24, -24, -12, 24, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 12, 12, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, -4, 4, 4, 4, 4, 4, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -4, 4, 4, 0, 0, 4, 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, 2, 2, -2, -2, -2, -2, 2, -2, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, 0, 0, 2, 2, 0, -2, 0, 0, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 2, -2], 'schur_index': 1}
  • id: 5676883
    {'cdim': 4, 'counter': 46, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.4m', 'multiplicity': 12, 'nt': [336, 0], 'qdim': 48, 'qvalues': [48, -48, -48, 48, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 24, -24, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, -8, 8, -8, -8, 8, 8, 8, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, -4, -4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5676884
    {'cdim': 4, 'counter': 47, 'faithful': False, 'group': '1344.1752', 'group_order': 1344, 'image': None, 'label': '1344.1752.4n', 'multiplicity': 12, 'nt': [336, 0], 'qdim': 48, 'qvalues': [48, -48, 48, -48, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, -24, 24, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, -8, -8, -8, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 4, 4, -4, -4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], '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: 11347716
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1.a1', 'kernel_order': 1344, 'label': '1344.1752.1a', '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: 11347778
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1.a1', 'kernel_order': 672, 'label': '1344.1752.1b', '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: 11347789
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.g1.a1', 'kernel_order': 672, 'label': '1344.1752.1c', '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: 11347800
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1.a1', 'kernel_order': 672, 'label': '1344.1752.1d', '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: 11347811
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1.a1', 'kernel_order': 672, 'label': '1344.1752.1e', '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: 11347822
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1.a1', 'kernel_order': 672, 'label': '1344.1752.1f', '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: 11347833
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1.a1', 'kernel_order': 672, 'label': '1344.1752.1g', '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: 11347844
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1.a1', 'kernel_order': 672, 'label': '1344.1752.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 11347855
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 9, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.d1', 'kernel_order': 336, 'label': '1344.1752.1i1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]]]}
  • id: 11347717
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 10, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.d1', 'kernel_order': 336, 'label': '1344.1752.1i2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]]]}
  • id: 11347728
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 11, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.c1', 'kernel_order': 336, 'label': '1344.1752.1j1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]]]}
  • id: 11347739
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 12, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.c1', 'kernel_order': 336, 'label': '1344.1752.1j2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]]]}
  • id: 11347750
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 13, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.b1', 'kernel_order': 336, 'label': '1344.1752.1k1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]]]}
  • id: 11347761
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  • id: 11347772
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 15, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.a1', 'kernel_order': 336, 'label': '1344.1752.1l1', 'nt': [4, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]]]}
  • id: 11347774
    {'center': '1.a1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 16, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1.a1', 'kernel_order': 336, 'label': '1344.1752.1l2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]]]}
  • id: 11347775
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 224, 'counter': 17, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1.a1', 'kernel_order': 224, 'label': '1344.1752.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-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]], [[-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]], [[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]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 11347776
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 336, 'counter': 18, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.c1.a1', 'kernel_order': 168, 'label': '1344.1752.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-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]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-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: 11347777
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 336, 'counter': 19, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1.a1', 'kernel_order': 168, 'label': '1344.1752.2c', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-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]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-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: 11347779
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 224, 'counter': 20, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1.a1', 'kernel_order': 112, 'label': '1344.1752.2d', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-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]], [[-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]], [[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]], [[-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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-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: 11347780
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  • id: 11347781
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 224, 'counter': 22, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1.a1', 'kernel_order': 112, 'label': '1344.1752.2f', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-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]], [[-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]], [[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]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 11347782
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 336, 'counter': 23, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 84, 'label': '1344.1752.2g1', 'nt': [8, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 0]], [[-2, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 0]], [[2, 1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[-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, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[2, 0]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 0]], [[-2, 0]]]}
  • id: 11347783
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 336, 'counter': 24, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.b1.a1', 'kernel_order': 84, 'label': '1344.1752.2g2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 0]], [[-2, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 0]], [[-2, 1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[2, 1]], [[-2, 0]], [[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, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[2, 0]], [[2, 0]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[2, 1]], [[-2, 0]], [[2, 0]], [[2, 1]], [[-2, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 0]], [[-2, 0]]]}
  • id: 11347784
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 224, 'counter': 25, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.d1.b1', 'kernel_order': 56, 'label': '1344.1752.2h1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 0]], [[2, 0]], [[-2, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[2, 0]], [[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, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]]]}
  • id: 11347785
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 224, 'counter': 26, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.d1.b1', 'kernel_order': 56, 'label': '1344.1752.2h2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 0]], [[2, 0]], [[2, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[2, 0]], [[-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, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]]]}
  • id: 11347786
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 224, 'counter': 27, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.d1.a1', 'kernel_order': 56, 'label': '1344.1752.2i1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 0]], [[-2, 0]], [[2, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[2, 0]], [[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, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]]]}
  • id: 11347787
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 224, 'counter': 28, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.d1.a1', 'kernel_order': 56, 'label': '1344.1752.2i2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 0]], [[-2, 0]], [[-2, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[2, 0]], [[-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, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]]]}
  • id: 11347788
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 112, 'counter': 29, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.a1', 'kernel_order': 56, 'label': '1344.1752.2j1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 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, 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]], [[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]], [[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]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 11347790
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 112, 'counter': 30, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1.a1', 'kernel_order': 56, 'label': '1344.1752.2j2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 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, 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]], [[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]], [[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]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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: 11347791
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 112, 'counter': 31, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 56, 'label': '1344.1752.2k1', 'nt': [12, 13], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 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, 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]], [[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]], [[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]], [[-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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[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: 11347792
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 112, 'counter': 32, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '24.8', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1.a1', 'kernel_order': 56, 'label': '1344.1752.2k2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 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, 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]], [[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]], [[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]], [[-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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[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: 11347793
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 33, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 96, 'label': '1344.1752.2l1', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 1], [1, -1]], [[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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 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, 3], [1, -3]]]}
  • id: 11347794
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 34, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 96, 'label': '1344.1752.2l2', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[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, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 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, 2], [1, -2]]]}
  • id: 11347795
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 35, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '14.1', 'image_order': 14, 'indicator': 1, 'kernel': '14.a1.a1', 'kernel_order': 96, 'label': '1344.1752.2l3', 'nt': [7, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 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, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 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, 1], [1, -1]]]}
  • id: 11347796
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 36, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1.a1', 'kernel_order': 48, 'label': '1344.1752.2m1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 1], [-1, -1]], [[-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, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 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, 3], [1, -3]]]}
  • id: 11347797
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  • id: 11347798
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 38, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1.a1', 'kernel_order': 48, 'label': '1344.1752.2m3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [-1, -2]], [[-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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 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, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-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, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 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, 1], [1, -1]]]}
  • id: 11347799
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 39, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1.a1', 'kernel_order': 48, 'label': '1344.1752.2n1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-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, 1], [1, -1]], [[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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[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, 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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 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, 3], [1, -3]]]}
  • id: 11347801
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  • id: 11347802
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 41, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1.a1', 'kernel_order': 48, 'label': '1344.1752.2n3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-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, 2], [1, -2]], [[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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[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, 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, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-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, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 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, 1], [1, -1]]]}
  • id: 11347803
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 42, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1.a1', 'kernel_order': 48, 'label': '1344.1752.2o1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-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, 1], [-1, -1]], [[-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, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[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, 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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 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, 3], [1, -3]]]}
  • id: 11347804
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 43, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1.a1', 'kernel_order': 48, 'label': '1344.1752.2o2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-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, 3], [-1, -3]], [[-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, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[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, 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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 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, 2], [1, -2]]]}
  • id: 11347805
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  • id: 11347806
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 112, 'counter': 45, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.b1.a1', 'kernel_order': 28, 'label': '1344.1752.2p1', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[-1, 1], [-1, -1]], [[-1, 0], [2, 2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0], [-2, 2]], [[1, 1], [1, -1]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[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, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 0]], [[2, 3]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3]], [[-2, 3]], [[-2, 0]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]]]}
  • id: 11347807
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 112, 'counter': 46, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.b1.a1', 'kernel_order': 28, 'label': '1344.1752.2p2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 1], [-1, -1]], [[1, 0], [-2, 2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0], [2, 2]], [[1, 1], [1, -1]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[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, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 0]], [[-2, 3]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 3]], [[2, 3]], [[-2, 0]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]]]}
  • id: 11347808
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 112, 'counter': 47, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.b1.a1', 'kernel_order': 28, 'label': '1344.1752.2p3', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 1], [1, -1]], [[1, 0], [-2, 2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0], [2, 2]], [[-1, 1], [-1, -1]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[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, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 0]], [[2, 3]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3]], [[-2, 3]], [[-2, 0]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 3]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 0]], [[-1, 0]], [[1, 3]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]]]}
  • id: 11347809
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 112, 'counter': 48, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.b1.a1', 'kernel_order': 28, 'label': '1344.1752.2p4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0]], [[1, 0]], [[1, 3]], [[-1, 3]], [[1, 1], [1, -1]], [[-1, 0], [2, 2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0], [-2, 2]], [[-1, 1], [-1, -1]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[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, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 0]], [[-2, 3]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 3]], [[2, 3]], [[-2, 0]], [[2, 3]], [[2, 3]], [[-2, 3]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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, 3]], [[-1, 3]], [[1, 0]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[-1, 0]], [[1, 3]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 0]], [[1, 0]]]}
  • id: 11347810
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  • id: 11347812
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 50, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 24, 'label': '1344.1752.2q2', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[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, 1], [-1, -1]], [[-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, 1], [1, -1]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 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, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 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, 3], [-1, -3]]]}
  • id: 11347813
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 51, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 24, 'label': '1344.1752.2q3', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[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, 3], [-1, -3]], [[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, 3], [1, -3]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 2], [1, -2]], [[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, 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, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 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, 2], [-1, -2]]]}
  • id: 11347814
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  • id: 11347815
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 53, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 24, 'label': '1344.1752.2q5', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[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, 2], [-1, -2]], [[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, 2], [1, -2]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 1], [1, -1]], [[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, 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, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-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, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 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, 1], [-1, -1]]]}
  • id: 11347816
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 54, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.c1.a1', 'kernel_order': 24, 'label': '1344.1752.2q6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-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, 2], [1, -2]], [[-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, 2], [-1, -2]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 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, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-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, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 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, 1], [-1, -1]]]}
  • id: 11347817
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  • id: 11347818
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 56, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.b1.a1', 'kernel_order': 24, 'label': '1344.1752.2r2', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [-1, -2]], [[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, 1], [1, -1]], [[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, 1], [1, -1]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 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, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 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, 3], [-1, -3]]]}
  • id: 11347819
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 57, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.b1.a1', 'kernel_order': 24, 'label': '1344.1752.2r3', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[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, 3], [1, -3]], [[-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, 3], [1, -3]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[1, 2], [1, -2]], [[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, 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, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 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, 2], [-1, -2]]]}
  • id: 11347820
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 58, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.b1.a1', 'kernel_order': 24, 'label': '1344.1752.2r4', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [-1, -1]], [[-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, 3], [-1, -3]], [[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, 3], [-1, -3]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 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, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 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, 2], [-1, -2]]]}
  • id: 11347821
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 59, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.b1.a1', 'kernel_order': 24, 'label': '1344.1752.2r5', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[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, 2], [1, -2]], [[-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, 2], [1, -2]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 2], [-1, -2]], [[-1, 2], [1, -2]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[1, 1], [1, -1]], [[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, 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, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[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, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 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, 1], [-1, -1]]]}
  • id: 11347823
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 60, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.7', 'image_order': 56, 'indicator': 0, 'kernel': '56.b1.a1', 'kernel_order': 24, 'label': '1344.1752.2r6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[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, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [-1, -3]], [[-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, 2], [-1, -2]], [[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, 2], [-1, -2]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 1], [1, -1]], [[1, 1], [-1, -1]], [[-1, 2], [1, -2]], [[1, 2], [-1, -2]], [[-1, 3], [1, -3]], [[1, 3], [-1, -3]], [[-1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 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, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[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, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 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, 1], [-1, -1]]]}
  • id: 11347824
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 61, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 24, 'label': '1344.1752.2s1', 'nt': [28, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[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, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 2], [1, -2]], [[-1, 3], [-1, 11]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 4], [1, -4]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[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, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 2], [-1, -2]], [[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, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 4], [1, -4]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 6], [-1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 3], [1, 11]], [[1, 4], [1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]]]}
  • id: 11347825
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 62, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 24, 'label': '1344.1752.2s2', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[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, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 2], [1, -2]], [[1, 3], [1, 11]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 4], [1, -4]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[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, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 2], [-1, -2]], [[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, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 4], [1, -4]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 6], [-1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 3], [-1, 11]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]]]}
  • id: 11347826
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 63, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 24, 'label': '1344.1752.2s3', 'nt': [28, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-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, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 6], [1, -6]], [[1, 5], [1, 9]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 2], [-1, -2]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 2], [1, -2]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-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, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 6], [-1, -6]], [[-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, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 2], [-1, -2]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, 11]], [[1, 4], [1, -4]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 5], [-1, 9]], [[-1, 2], [-1, -2]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]]]}
  • id: 11347827
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  • id: 11347828
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 65, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 24, 'label': '1344.1752.2s5', 'nt': [28, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[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, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 6], [-1, -6]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 6], [1, -6]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[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, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 4], [1, -4]], [[-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, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, 9]], [[-1, 2], [-1, -2]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 6], [1, -6]], [[1, 4], [1, -4]]]}
  • id: 11347829
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 66, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.b1', 'kernel_order': 24, 'label': '1344.1752.2s6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[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, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 6], [1, -6]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[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, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 4], [1, -4]], [[-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, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 6], [-1, -6]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 5], [-1, 9]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 6], [-1, -6]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[1, 6], [1, -6]], [[1, 4], [1, -4]]]}
  • id: 11347830
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  • id: 11347831
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 68, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 24, 'label': '1344.1752.2t2', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[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, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 2], [1, -2]], [[1, 3], [1, 11]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 4], [1, -4]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-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, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 2], [-1, -2]], [[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, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 4], [1, -4]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 6], [-1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 3], [-1, 11]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]]]}
  • id: 11347832
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 69, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 24, 'label': '1344.1752.2t3', 'nt': [28, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[2, 0]], [[-2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-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, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 6], [1, -6]], [[1, 5], [1, 9]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 2], [-1, -2]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 2], [1, -2]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[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, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 6], [-1, -6]], [[-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, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 2], [-1, -2]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, 11]], [[1, 4], [1, -4]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 5], [-1, 9]], [[-1, 2], [-1, -2]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]]]}
  • id: 11347834
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  • id: 11347835
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 71, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 24, 'label': '1344.1752.2t5', 'nt': [28, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 7]], [[2, 0]], [[-2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[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, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 6], [-1, -6]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 6], [1, -6]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-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, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 4], [1, -4]], [[-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, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, 9]], [[-1, 2], [-1, -2]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 6], [1, -6]], [[1, 4], [1, -4]]]}
  • id: 11347836
    {'center': '14.a1.a1', 'center_index': 14, 'center_order': 96, 'counter': 72, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '56.4', 'image_order': 56, 'indicator': 0, 'kernel': '56.d1.a1', 'kernel_order': 24, 'label': '1344.1752.2t6', 'nt': [28, 6], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[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, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 6], [-1, -6]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 6], [1, -6]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-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, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 4], [1, -4]], [[-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, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 6], [-1, -6]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 5], [-1, 9]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 2], [-1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 6], [-1, -6]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[1, 6], [1, -6]], [[1, 4], [1, -4]]]}
  • id: 11347837
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  • id: 11347847
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 82, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 12, 'label': '1344.1752.2u10', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 7]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[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, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 6], [1, -6]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[-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, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 6], [1, -6]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 5], [1, 9]], [[1, 2], [1, -2]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 6], [1, -6]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]]]}
  • id: 11347848
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 83, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 12, 'label': '1344.1752.2u11', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 0]], [[-2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[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, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 4], [1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 6], [1, -6]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 6], [-1, -6]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-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, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 6], [1, -6]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, 9]], [[1, 2], [1, -2]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 6], [1, -6]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]]]}
  • id: 11347849
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 84, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 12, 'label': '1344.1752.2u12', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 7]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[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, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 6], [1, -6]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 6], [-1, -6]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 4], [1, -4]], [[-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, 2], [1, -2]], [[1, 6], [1, -6]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 6], [1, -6]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 5], [1, 9]], [[1, 2], [1, -2]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 6], [1, -6]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]]]}
  • id: 11347838
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 74, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 12, 'label': '1344.1752.2u2', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 7]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[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, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, 11]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 4], [1, -4]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[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, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 4], [-1, -4]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 6], [1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 3], [1, 11]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 4], [1, -4]], [[1, 2], [1, -2]]]}
  • id: 11347839
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 75, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 12, 'label': '1344.1752.2u3', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 0]], [[-2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[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, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 2], [-1, -2]], [[1, 3], [1, 11]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 4], [-1, -4]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[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, 6], [1, -6]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 6], [1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, 11]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 4], [1, -4]], [[1, 2], [1, -2]]]}
  • id: 11347840
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 76, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 12, 'label': '1344.1752.2u4', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 7]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]], [[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, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, 11]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 4], [1, -4]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[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, 6], [1, -6]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 4], [-1, -4]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 6], [1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 3], [1, 11]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 4], [1, -4]], [[1, 2], [1, -2]]]}
  • id: 11347841
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 77, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 12, 'label': '1344.1752.2u5', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 0]], [[-2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-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, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, 9]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 2], [1, -2]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-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, 4], [-1, -4]], [[1, 2], [1, -2]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 2], [1, -2]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, 11]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 5], [1, 9]], [[1, 2], [1, -2]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]]]}
  • id: 11347842
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 78, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 12, 'label': '1344.1752.2u6', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 7]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-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, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 6], [-1, -6]], [[1, 5], [1, 9]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[1, 2], [1, -2]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 5], [1, -5]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[1, 6], [1, 8]], [[-1, 6], [-1, 8]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 6], [-1, -6]], [[-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, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 2], [1, -2]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 3], [-1, 11]], [[-1, 4], [-1, -4]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, 9]], [[1, 2], [1, -2]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]]]}
  • id: 11347843
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  • id: 11347845
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 80, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 12, 'label': '1344.1752.2u8', 'nt': [56, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 7]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]], [[-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, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 6], [-1, -6]], [[1, 5], [1, 9]], [[1, 4], [1, -4]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[1, 2], [1, -2]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 5], [-1, -5]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 4], [-1, 10]], [[1, 4], [1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 6], [-1, -6]], [[-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, 4], [-1, -4]], [[1, 2], [1, -2]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 2], [1, -2]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 3], [-1, 11]], [[-1, 4], [-1, -4]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, 9]], [[1, 2], [1, -2]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]]]}
  • id: 11347846
    {'center': '28.a1.a1', 'center_index': 28, 'center_order': 48, 'counter': 81, 'cyclotomic_n': 28, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '112.30', 'image_order': 112, 'indicator': 0, 'kernel': '112.b1.a1', 'kernel_order': 12, 'label': '1344.1752.2u9', 'nt': [56, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[2, 7]], [[-2, 7]], [[2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 0]], [[-2, 0]], [[2, 7]], [[-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 4], [1, -4]], [[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, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 4], [1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 6], [1, -6]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 0], [-2, 2], [1, 4], [-1, 6], [1, 8], [-1, 10]], [[-1, 0], [2, 2], [-1, 4], [1, 6], [-1, 8], [1, 10]], [[1, 4], [1, 10]], [[-1, 4], [-1, 10]], [[-1, 6], [-1, 8]], [[1, 6], [1, 8]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 4], [1, -4]], [[-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, 2], [1, -2]], [[1, 6], [1, -6]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 6], [1, -6]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, 9]], [[1, 2], [1, -2]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 6], [1, -6]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]]]}
  • id: 11347850
    {'center': '16.a1.a1', 'center_index': 16, 'center_order': 84, 'counter': 85, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '32.44', 'image_order': 32, 'indicator': -1, 'kernel': '32.c1.a1', 'kernel_order': 42, 'label': '1344.1752.4a', 'nt': [16, 32], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11347851
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  • id: 11347852
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 28, 'counter': 87, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '96.149', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1.a1', 'kernel_order': 14, 'label': '1344.1752.4c1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [-4, 1]], [[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]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[2, 0], [4, 1]], [[0, 0]], [[2, 0], [4, 1]], [[0, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [-4, 1]], [[0, 0]], [[0, 0]], [[-2, 0], [-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [4, 1]], [[0, 0]], [[-2, 0], [-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [-4, 1]], [[2, 0], [4, 1]], [[0, 0]], [[0, 0]]]}
  • id: 11347853
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 28, 'counter': 88, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '96.149', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1.a1', 'kernel_order': 14, 'label': '1344.1752.4c2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [4, 1]], [[-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]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[-2, 0], [-4, 1]], [[0, 0]], [[-2, 0], [-4, 1]], [[0, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [4, 1]], [[0, 0]], [[0, 0]], [[2, 0], [4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [-4, 1]], [[0, 0]], [[2, 0], [4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [4, 1]], [[-2, 0], [-4, 1]], [[0, 0]], [[0, 0]]]}
  • id: 11347854
    {'center': '48.a1.a1', 'center_index': 48, 'center_order': 28, 'counter': 89, 'cyclotomic_n': 12, 'dim': 4, 'faithful': False, 'field': [-3, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '96.158', 'image_order': 96, 'indicator': -1, 'kernel': '96.b1.a1', 'kernel_order': 14, 'label': '1344.1752.4d1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]]]}
  • id: 11347856
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  • id: 11347857
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  • id: 11347858
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  • id: 11347859
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 93, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '84.8', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1.a1', 'kernel_order': 16, 'label': '1344.1752.4e3', 'nt': [21, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-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, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[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, 1], [2, -1]], [[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, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 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, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 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, 1], [-1, -1]]]}
  • id: 11347860
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 94, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.a1.a1', 'kernel_order': 8, 'label': '1344.1752.4f1', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[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, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-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, 3], [-2, -3]], [[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, 2], [-2, -2]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-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, 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, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 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, 3], [-1, -3]]]}
  • id: 11347861
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  • id: 11347862
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  • id: 11347863
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 97, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '168.15', 'image_order': 168, 'indicator': -1, 'kernel': '168.c1.a1', 'kernel_order': 8, 'label': '1344.1752.4g1', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-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, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-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, 3], [-2, -3]], [[-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, 2], [2, -2]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-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, 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, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[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, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 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, 3], [1, -3]]]}
  • id: 11347864
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 98, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '168.15', 'image_order': 168, 'indicator': -1, 'kernel': '168.c1.a1', 'kernel_order': 8, 'label': '1344.1752.4g2', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-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, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-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, 2], [-2, -2]], [[-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, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-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, 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, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[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, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 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, 2], [1, -2]]]}
  • id: 11347865
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 99, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '168.15', 'image_order': 168, 'indicator': -1, 'kernel': '168.c1.a1', 'kernel_order': 8, 'label': '1344.1752.4g3', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-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, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-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, 1], [-2, -1]], [[-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, 3], [2, -3]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 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, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 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, 1], [1, -1]]]}
  • id: 11347718
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 100, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '168.15', 'image_order': 168, 'indicator': -1, 'kernel': '168.b1.a1', 'kernel_order': 8, 'label': '1344.1752.4h1', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[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, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[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, 3], [2, -3]], [[-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, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-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, 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, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-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, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 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, 3], [1, -3]]]}
  • id: 11347719
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 101, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '168.15', 'image_order': 168, 'indicator': -1, 'kernel': '168.b1.a1', 'kernel_order': 8, 'label': '1344.1752.4h2', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[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, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[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, 2], [2, -2]], [[-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, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-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, 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, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-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, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 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, 2], [1, -2]]]}
  • id: 11347720
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 102, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '168.15', 'image_order': 168, 'indicator': -1, 'kernel': '168.b1.a1', 'kernel_order': 8, 'label': '1344.1752.4h3', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[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, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[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, 1], [2, -1]], [[-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, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 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, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 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, 1], [1, -1]]]}
  • id: 11347721
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 103, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '336.147', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 4, 'label': '1344.1752.4i1', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[-4, 7]], [[4, 7]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[2, 7]], [[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, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[-2, 3], [-2, 11]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[2, 2], [2, -2]], [[-2, 3], [-2, 11]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 5], [2, 9]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 4], [2, -4]], [[-2, 5], [-2, 9]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-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]], [[1, 2], [1, -2]], [[-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, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 4], [-1, -4]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 6], [1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, 11]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 4], [1, -4]], [[1, 2], [1, -2]]]}
  • id: 11347722
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 104, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '336.147', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 4, 'label': '1344.1752.4i2', 'nt': [84, 6], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[4, 7]], [[-4, 7]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[2, 7]], [[-2, 7]], [[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, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-2, 5], [-2, 9]], [[-2, 3], [-2, 11]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[2, 2], [2, -2]], [[2, 3], [2, 11]], [[2, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, 9]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 4], [2, -4]], [[2, 5], [2, 9]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-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]], [[1, 2], [1, -2]], [[-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, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 4], [-1, -4]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 4], [1, -4]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 6], [1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 6], [1, -6]], [[-1, 2], [-1, -2]], [[1, 3], [1, 11]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[1, 4], [1, -4]], [[1, 2], [1, -2]]]}
  • id: 11347723
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 105, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '336.147', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 4, 'label': '1344.1752.4i3', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[-4, 7]], [[4, 7]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[2, 7]], [[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, 2], [2, -2]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[-2, 5], [-2, 9]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 6], [2, -6]], [[2, 5], [2, 9]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 3], [2, 11]], [[-2, 2], [-2, -2]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 5], [-2, 9]], [[-2, 3], [-2, 11]], [[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]], [[1, 6], [1, -6]], [[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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 2], [1, -2]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[1, 3], [1, 11]], [[-1, 4], [-1, -4]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[1, 5], [1, 9]], [[1, 2], [1, -2]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]]]}
  • id: 11347724
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 106, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '336.147', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 4, 'label': '1344.1752.4i4', 'nt': [84, 6], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[4, 7]], [[-4, 7]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[2, 7]], [[-2, 7]], [[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, 2], [2, -2]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[-2, 5], [-2, 9]], [[-2, 3], [-2, 11]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 6], [2, -6]], [[-2, 5], [-2, 9]], [[-2, 4], [-2, -4]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 3], [-2, 11]], [[-2, 2], [-2, -2]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[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]], [[1, 6], [1, -6]], [[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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 2], [1, -2]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [-1, -2]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 4], [1, -4]], [[1, 4], [1, -4]], [[-1, 3], [-1, 11]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 4], [-1, -4]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, 9]], [[1, 2], [1, -2]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 2], [-1, -2]], [[1, 6], [1, -6]]]}
  • id: 11347725
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 107, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '336.147', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 4, 'label': '1344.1752.4i5', 'nt': [84, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[-4, 7]], [[4, 7]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[2, 0]], [[-2, 0]], [[-2, 7]], [[2, 7]], [[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, 6], [2, -6]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[-2, 5], [-2, 9]], [[-2, 3], [-2, 11]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[-2, 4], [-2, -4]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 3], [-2, 11]], [[-2, 5], [-2, 9]], [[-2, 6], [-2, -6]], [[2, 3], [2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[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]], [[-1, 4], [-1, -4]], [[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, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 6], [1, -6]], [[1, 3], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, 9]], [[1, 2], [1, -2]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 6], [1, -6]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]]]}
  • id: 11347726
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 108, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '336.147', 'image_order': 336, 'indicator': 0, 'kernel': '336.c1.a1', 'kernel_order': 4, 'label': '1344.1752.4i6', 'nt': [84, 6], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[4, 7]], [[-4, 7]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[2, 0]], [[-2, 0]], [[2, 7]], [[-2, 7]], [[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, 6], [2, -6]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[-2, 5], [-2, 9]], [[-2, 3], [-2, 11]], [[-2, 4], [-2, -4]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[2, 3], [2, 11]], [[2, 5], [2, 9]], [[-2, 6], [-2, -6]], [[-2, 3], [-2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[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]], [[-1, 4], [-1, -4]], [[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, 2], [-1, -2]], [[-1, 6], [-1, -6]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 6], [1, -6]], [[-1, 3], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 4], [-1, -4]], [[1, 4], [1, -4]], [[-1, 6], [-1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 5], [1, 9]], [[1, 2], [1, -2]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 2], [1, -2]], [[1, 4], [1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 6], [1, -6]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, -4]]]}
  • id: 11347727
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 109, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '224.146', 'image_order': 224, 'indicator': -1, 'kernel': '224.c1.a1', 'kernel_order': 6, 'label': '1344.1752.4j1', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[0, 0]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11347729
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 110, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '224.146', 'image_order': 224, 'indicator': -1, 'kernel': '224.c1.a1', 'kernel_order': 6, 'label': '1344.1752.4j2', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 4], [-2, -4]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11347730
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 111, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '224.146', 'image_order': 224, 'indicator': -1, 'kernel': '224.c1.a1', 'kernel_order': 6, 'label': '1344.1752.4j3', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[0, 0]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11347731
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 112, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '224.146', 'image_order': 224, 'indicator': -1, 'kernel': '224.c1.a1', 'kernel_order': 6, 'label': '1344.1752.4j4', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11347732
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 113, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '224.146', 'image_order': 224, 'indicator': -1, 'kernel': '224.c1.a1', 'kernel_order': 6, 'label': '1344.1752.4j5', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11347733
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 114, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '224.146', 'image_order': 224, 'indicator': -1, 'kernel': '224.c1.a1', 'kernel_order': 6, 'label': '1344.1752.4j6', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 6], [2, -6]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[-2, 2], [-2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 4], [2, -4]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[-2, 6], [-2, -6]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[0, 0]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11347734
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 115, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '224.137', 'image_order': 224, 'indicator': 0, 'kernel': '224.b1.a1', 'kernel_order': 6, 'label': '1344.1752.4k1', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-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, 3], [2, -3]], [[-2, 1], [2, -1]], [[2, 1], [-2, -1]], [[-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, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-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, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [2, -2]], [[-2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [2, -1]], [[0, 0]], [[2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, -2]], [[-2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [-2, -1]], [[2, 2], [-2, -2]], [[2, 3], [-2, -3]], [[-2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11347735
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 116, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '224.137', 'image_order': 224, 'indicator': 0, 'kernel': '224.b1.a1', 'kernel_order': 6, 'label': '1344.1752.4k2', 'nt': [112, 6], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-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, 3], [-2, -3]], [[2, 1], [-2, -1]], [[-2, 1], [2, -1]], [[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, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-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, 2], [2, -2]], [[-2, 1], [-2, -1]], [[2, 2], [-2, -2]], [[2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [-2, -1]], [[0, 0]], [[-2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[-2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, -2]], [[2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [2, -1]], [[-2, 2], [2, -2]], [[-2, 3], [2, -3]], [[2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11347736
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 117, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '224.137', 'image_order': 224, 'indicator': 0, 'kernel': '224.b1.a1', 'kernel_order': 6, 'label': '1344.1752.4k3', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-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, 2], [2, -2]], [[-2, 3], [2, -3]], [[2, 3], [-2, -3]], [[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, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-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, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [-2, -1]], [[-2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [2, -3]], [[0, 0]], [[2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [2, -1]], [[2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-2, -3]], [[-2, 1], [2, -1]], [[2, 2], [-2, -2]], [[-2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11347737
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 118, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '224.137', 'image_order': 224, 'indicator': 0, 'kernel': '224.b1.a1', 'kernel_order': 6, 'label': '1344.1752.4k4', 'nt': [112, 6], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-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, 2], [-2, -2]], [[2, 3], [-2, -3]], [[-2, 3], [2, -3]], [[-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, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[-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, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [2, -1]], [[2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-2, -3]], [[0, 0]], [[-2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[-2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [-2, -1]], [[-2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [2, -3]], [[2, 1], [-2, -1]], [[-2, 2], [2, -2]], [[2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11347738
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 119, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '224.137', 'image_order': 224, 'indicator': 0, 'kernel': '224.b1.a1', 'kernel_order': 6, 'label': '1344.1752.4k5', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-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, 1], [2, -1]], [[2, 2], [-2, -2]], [[-2, 2], [2, -2]], [[-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, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-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, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [2, -3]], [[-2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, -2]], [[0, 0]], [[2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[-2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-2, -3]], [[-2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, -2]], [[2, 3], [-2, -3]], [[2, 1], [-2, -1]], [[-2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11347740
    {'center': '112.a1.a1', 'center_index': 112, 'center_order': 12, 'counter': 120, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -1, 1, -1, 1, -1, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '224.137', 'image_order': 224, 'indicator': 0, 'kernel': '224.b1.a1', 'kernel_order': 6, 'label': '1344.1752.4k6', 'nt': [112, 6], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-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, 1], [-2, -1]], [[-2, 2], [2, -2]], [[2, 2], [-2, -2]], [[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, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[-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, 3], [2, -3]], [[-2, 2], [-2, -2]], [[2, 3], [-2, -3]], [[2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, -2]], [[0, 0]], [[-2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [2, -3]], [[2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [-2, -2]], [[-2, 3], [2, -3]], [[-2, 1], [2, -1]], [[2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11347741
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 121, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '336.144', 'image_order': 336, 'indicator': 0, 'kernel': '336.b1.a1', 'kernel_order': 4, 'label': '1344.1752.4l1', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[-4, 7]], [[4, 7]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[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, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[-2, 3], [-2, 11]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[-2, 2], [-2, -2]], [[2, 3], [2, 11]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 5], [-2, 9]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 4], [-2, -4]], [[2, 5], [2, 9]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[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]], [[1, 2], [1, -2]], [[-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, 6], [-1, -6]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 4], [1, -4]], [[1, 5], [1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 6], [-1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[1, 3], [1, 11]], [[1, 4], [1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]]]}
  • id: 11347742
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 122, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '336.144', 'image_order': 336, 'indicator': 0, 'kernel': '336.b1.a1', 'kernel_order': 4, 'label': '1344.1752.4l2', 'nt': [168, 6], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[4, 7]], [[-4, 7]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7]], [[2, 7]], [[-2, 7]], [[-2, 7]], [[-2, 0]], [[2, 0]], [[2, 7]], [[-2, 7]], [[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, 4], [-2, -4]], [[-2, 2], [-2, -2]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-2, 5], [-2, 9]], [[-2, 3], [-2, 11]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, 11]], [[-2, 6], [-2, -6]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 5], [2, 9]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 4], [-2, -4]], [[-2, 5], [-2, 9]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[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]], [[1, 2], [1, -2]], [[-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, 6], [-1, -6]], [[1, 4], [1, -4]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 4], [1, -4]], [[-1, 5], [-1, 9]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 5], [1, 9]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, 11]], [[1, 3], [1, 11]], [[1, 6], [1, -6]], [[1, 6], [1, -6]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 6], [-1, -6]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 6], [-1, -6]], [[1, 2], [1, -2]], [[-1, 3], [-1, 11]], [[1, 4], [1, -4]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 5], [-1, 9]], [[-1, 3], [-1, 11]], [[-1, 5], [-1, 9]], [[-1, 4], [-1, -4]], [[-1, 2], [-1, -2]]]}
  • id: 11347743
    {'center': '84.a1.a1', 'center_index': 84, 'center_order': 16, 'counter': 123, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 6, 0, 5, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '336.144', 'image_order': 336, 'indicator': 0, 'kernel': '336.b1.a1', 'kernel_order': 4, 'label': '1344.1752.4l3', 'nt': [168, 0], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[-4, 7]], [[4, 7]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7]], [[-2, 7]], [[2, 7]], [[2, 7]], [[-2, 0]], [[2, 0]], [[-2, 7]], [[2, 7]], [[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, 2], [2, -2]], [[-2, 6], [-2, -6]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[1, 2], [1, -2]], [[-1, 4], [-1, -4]], [[1, 6], [1, -6]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[-2, 5], [-2, 9]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 6], [-2, -6]], [[-2, 5], [-2, 9]], [[2, 4], [2, -4]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 3], [-2, 11]], [[2, 2], [2, -2]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[-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]], [[1, 6], [1, -6]], [[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, 4], [1, -4]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 2], [-1, -2]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 3], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[1, 3], [1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [-1, 7], [1, 9], [-1, 11]], [[1, 5], [1, 9]], [[-1, 5], [-1, 9]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [1, -2]], [[-1, 5], [-1, 9]], [[1, 5], [1, 9]], [[-1, 4], [-1, -4]], [[-1, 4], [-1, -4]], [[-1, 3], [-1, 11]], [[1, 4], [1, -4]], [[1, 3], [1, 11]], [[1, 3], [1, 11]], [[1, 4], [1, -4]], [[1, 6], [1, -6]], [[-1, 5], [-1, 9]], [[-1, 2], [-1, -2]], [[1, 3], [1, 11]], [[1, 5], [1, 9]], [[-1, 3], [-1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[-1, 5], [-1, 9]], [[1, 3], [-1, 5], [1, 7], [-1, 9], [1, 11]], [[1, 2], [1, -2]], [[-1, 6], [-1, -6]]]}
  • id: 11347744
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  • id: 11347745
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  • id: 11347746
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  • id: 11347747
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  • id: 11347757
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  • id: 11347758
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  • id: 11347759
    {'center': '336.a1.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': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '672.453', 'image_order': 672, 'indicator': 0, 'kernel': '672.c1.a1', 'kernel_order': 2, 'label': '1344.1752.4m12', 'nt': [336, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[-2, 12], [-2, -12]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 15], [2, -15]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 15], [2, -15]], [[-2, 15], [-2, -15]], [[-2, 9], [-2, -9]], [[-2, 15], [-2, -15]], [[-2, 9], [-2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[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]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 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, 3], [-1, -3]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[1, 9], [1, -9]], [[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, 3], [-1, -3]], [[-1, 5], [1, 9], [-1, 19], [-2, 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, 3], [1, -3]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[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, 6], [-1, 8], [-2, 20], [-1, 22]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[1, 15], [1, -15]], [[-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, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[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: 11347748
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  • id: 11347749
    {'center': '336.a1.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': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '672.453', 'image_order': 672, 'indicator': 0, 'kernel': '672.c1.a1', 'kernel_order': 2, 'label': '1344.1752.4m3', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[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, 18], [2, -18]], [[-2, 12], [-2, -12]], [[2, 12], [2, -12]], [[2, 6], [2, -6]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[2, 15], [2, -15]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[2, 15], [2, -15]], [[-2, 9], [-2, -9]], [[2, 9], [2, -9]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 15], [-2, -15]], [[-2, 3], [-2, -3]], [[-2, 15], [-2, -15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[1, 3], [1, -3]], [[-1, 15], [-1, -15]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 6], [1, 8], [2, 20], [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, 9], [1, -9]], [[-1, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 15], [1, -15]], [[-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, 9], [1, -9]], [[-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, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 9], [-1, -9]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[-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, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 3], [1, -3]], [[-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]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, -3]], [[-1, 15], [-1, -15]], [[1, 15], [1, -15]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 22]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-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: 11347751
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  • id: 11347752
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  • id: 11347753
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  • id: 11347754
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  • id: 11347755
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  • id: 11347756
    {'center': '336.a1.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': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '672.453', 'image_order': 672, 'indicator': 0, 'kernel': '672.c1.a1', 'kernel_order': 2, 'label': '1344.1752.4m9', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[2, 0], [-4, 14]], [[-2, 0], [4, 14]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[-2, 18], [-2, -18]], [[-2, 12], [-2, -12]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 15], [-2, -15]], [[-2, 9], [-2, -9]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 15], [-2, -15]], [[2, 15], [2, -15]], [[2, 9], [2, -9]], [[2, 15], [2, -15]], [[2, 9], [2, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 6], [-1, -6]], [[1, 18], [1, -18]], [[-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]], [[-2, 0], [-1, 2], [2, 4], [2, 6], [-2, 10], [-1, 12], [2, 14], [1, 16], [-2, 20], [-2, 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, 3], [1, -3]], [[1, 6], [-1, 8], [-2, 20], [-1, 22]], [[-1, 9], [-1, -9]], [[-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, 3], [1, -3]], [[-1, 5], [1, 9], [-1, 19], [-2, 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, 3], [-1, -3]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[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, 6], [1, 8], [2, 20], [1, 22]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 15], [-1, -15]], [[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, 0], [-1, 2], [2, 4], [1, 6], [1, 8], [-2, 10], [-1, 12], [1, 16], [-1, 22]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[-1, 6], [1, 8], [2, 20], [1, 22]], [[-1, 3], [-1, -3]], [[1, 15], [1, -15]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 0], [1, 2], [-2, 4], [-1, 6], [-1, 8], [2, 10], [1, 12], [-1, 16], [1, 22]], [[2, 0], [1, 2], [-2, 4], [-2, 6], [2, 10], [1, 12], [-2, 14], [-1, 16], [2, 20], [2, 22]], [[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: 11347760
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  • id: 11347770
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  • id: 11347771
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  • id: 11347773
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 150, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [729, 0, 243, 0, 81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '672.451', 'image_order': 672, 'indicator': 0, 'kernel': '672.b1.a1', 'kernel_order': 2, 'label': '1344.1752.4n12', 'nt': [336, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[-2, 7], [-2, -7]], [[-2, 7], [-2, -7]], [[2, 7], [2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[-2, 18], [-2, -18]], [[2, 12], [2, -12]], [[-2, 6], [-2, -6]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-2, 2], [2, 12], [2, 16]], [[2, 0], [2, 2], [-2, 6], [-2, 8], [2, 12], [-2, 16], [-4, 18], [2, 22]], [[-2, 0], [-2, 2], [2, 6], [2, 8], [-2, 12], [2, 16], [4, 18], [-2, 22]], [[2, 6], [-2, 8], [2, 22]], [[2, 2], [-2, 12], [-2, 16]], [[-2, 0], [-2, 2], [2, 6], [2, 8], [-2, 12], [2, 16], [4, 18], [-2, 22]], [[2, 0], [2, 2], [-2, 6], [-2, 8], [2, 12], [-2, 16], [-4, 18], [2, 22]], [[-2, 6], [2, 8], [-2, 22]], [[2, 6], [-2, 8], [2, 22]], [[2, 2], [-2, 12], [-2, 16]], [[-2, 6], [2, 8], [-2, 22]], [[-2, 2], [2, 12], [2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[-1, 6], [1, 8], [-1, 22]], [[1, 2], [-1, 12], [-1, 16]], [[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], [1, 5], [1, 7], [-1, 11], [1, 13], [1, 17], [-1, 21], [-1, 23]], [[1, 5], [1, 9], [1, 19], [-2, 23]], [[-1, 0], [-1, 2], [1, 6], [1, 8], [-1, 12], [1, 16], [2, 18], [-1, 22]], [[-1, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-1, 17], [1, 21], [1, 23]], [[-1, 2], [1, 12], [1, 16]], [[-1, 5], [-1, 9], [-1, 19], [2, 23]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 17], [1, 19], [-1, 23]], [[1, 0], [1, 2], [-1, 6], [-1, 8], [1, 12], [-1, 16], [-2, 18], [1, 22]], [[1, 5], [-1, 9], [1, 19], [2, 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, 0], [-1, 2], [1, 6], [1, 8], [-1, 12], [1, 16], [2, 18], [-1, 22]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 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, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-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, 6], [-1, 8], [1, 22]], [[-1, 6], [1, 8], [-1, 22]], [[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, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 17], [-1, 19], [1, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[1, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [1, 17], [-1, 21], [-1, 23]], [[1, 0], [1, 2], [-1, 6], [-1, 8], [1, 12], [-1, 16], [-2, 18], [1, 22]], [[1, 6], [-1, 8], [1, 22]], [[-1, 2], [1, 12], [1, 16]], [[1, 2], [-1, 12], [-1, 16]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 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, 5], [1, 9], [-1, 19], [-2, 23]]]}
  • id: 11347762
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  • id: 11347763
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 141, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [729, 0, 243, 0, 81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '672.451', 'image_order': 672, 'indicator': 0, 'kernel': '672.b1.a1', 'kernel_order': 2, 'label': '1344.1752.4n3', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[-2, 7], [-2, -7]], [[-2, 7], [-2, -7]], [[2, 7], [2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[2, 6], [2, -6]], [[2, 12], [2, -12]], [[-2, 6], [-2, -6]], [[-2, 18], [-2, -18]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-2, 6], [2, 8], [-2, 22]], [[2, 2], [-2, 12], [-2, 16]], [[-2, 2], [2, 12], [2, 16]], [[2, 0], [2, 2], [-2, 6], [-2, 8], [2, 12], [-2, 16], [-4, 18], [2, 22]], [[2, 6], [-2, 8], [2, 22]], [[-2, 2], [2, 12], [2, 16]], [[2, 2], [-2, 12], [-2, 16]], [[-2, 0], [-2, 2], [2, 6], [2, 8], [-2, 12], [2, 16], [4, 18], [-2, 22]], [[2, 0], [2, 2], [-2, 6], [-2, 8], [2, 12], [-2, 16], [-4, 18], [2, 22]], [[2, 6], [-2, 8], [2, 22]], [[-2, 0], [-2, 2], [2, 6], [2, 8], [-2, 12], [2, 16], [4, 18], [-2, 22]], [[-2, 6], [2, 8], [-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 18], [-1, -18]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 0], [-1, 2], [1, 6], [1, 8], [-1, 12], [1, 16], [2, 18], [-1, 22]], [[1, 6], [-1, 8], [1, 22]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[-1, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-1, 17], [1, 21], [1, 23]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 17], [1, 19], [-1, 23]], [[-1, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-1, 17], [1, 21], [1, 23]], [[-1, 2], [1, 12], [1, 16]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 17], [-1, 19], [1, 23]], [[-1, 6], [1, 8], [-1, 22]], [[1, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [1, 17], [-1, 21], [-1, 23]], [[-1, 5], [-1, 9], [-1, 19], [2, 23]], [[1, 2], [-1, 12], [-1, 16]], [[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, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 2], [1, 12], [1, 16]], [[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, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 17], [-1, 19], [1, 23]], [[1, 1], [2, 3], [-1, 7], [-1, 9], [-1, 11], [1, 13], [-3, 17], [-1, 19], [1, 23]], [[1, 0], [1, 2], [-1, 6], [-1, 8], [1, 12], [-1, 16], [-2, 18], [1, 22]], [[-1, 0], [-1, 2], [1, 6], [1, 8], [-1, 12], [1, 16], [2, 18], [-1, 22]], [[-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, 5], [1, 9], [1, 19], [-2, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 17], [1, 19], [-1, 23]], [[1, 2], [-1, 12], [-1, 16]], [[1, 0], [1, 2], [-1, 6], [-1, 8], [1, 12], [-1, 16], [-2, 18], [1, 22]], [[-1, 6], [1, 8], [-1, 22]], [[1, 6], [-1, 8], [1, 22]], [[-1, 5], [-1, 9], [-1, 19], [2, 23]], [[1, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [1, 17], [-1, 21], [-1, 23]], [[-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: 11347764
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  • id: 11347765
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  • id: 11347766
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  • id: 11347767
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  • id: 11347768
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 146, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [729, 0, 243, 0, 81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '672.451', 'image_order': 672, 'indicator': 0, 'kernel': '672.b1.a1', 'kernel_order': 2, 'label': '1344.1752.4n8', 'nt': [336, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[2, 12], [2, -12]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 7], [2, -7]], [[-2, 7], [-2, -7]], [[-2, 7], [-2, -7]], [[2, 7], [2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[2, 18], [2, -18]], [[-2, 6], [-2, -6]], [[-2, 18], [-2, -18]], [[2, 12], [2, -12]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[-2, 0], [-2, 2], [2, 6], [2, 8], [-2, 12], [2, 16], [4, 18], [-2, 22]], [[2, 6], [-2, 8], [2, 22]], [[-2, 6], [2, 8], [-2, 22]], [[2, 2], [-2, 12], [-2, 16]], [[2, 0], [2, 2], [-2, 6], [-2, 8], [2, 12], [-2, 16], [-4, 18], [2, 22]], [[-2, 6], [2, 8], [-2, 22]], [[2, 6], [-2, 8], [2, 22]], [[-2, 2], [2, 12], [2, 16]], [[2, 2], [-2, 12], [-2, 16]], [[2, 0], [2, 2], [-2, 6], [-2, 8], [2, 12], [-2, 16], [-4, 18], [2, 22]], [[-2, 2], [2, 12], [2, 16]], [[-2, 0], [-2, 2], [2, 6], [2, 8], [-2, 12], [2, 16], [4, 18], [-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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[1, 12], [1, -12]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[1, 12], [1, -12]], [[-1, 12], [-1, -12]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 12], [1, 16]], [[1, 0], [1, 2], [-1, 6], [-1, 8], [1, 12], [-1, 16], [-2, 18], [1, 22]], [[-3, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [2, 15], [1, 17], [-1, 21], [-1, 23]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 17], [-1, 19], [1, 23]], [[-1, 5], [-1, 9], [-1, 19], [2, 23]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 17], [-1, 19], [1, 23]], [[-1, 6], [1, 8], [-1, 22]], [[1, 5], [1, 9], [1, 19], [-2, 23]], [[-1, 0], [-1, 2], [1, 6], [1, 8], [-1, 12], [1, 16], [2, 18], [-1, 22]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 17], [1, 19], [-1, 23]], [[1, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [1, 17], [-1, 21], [-1, 23]], [[1, 6], [-1, 8], [1, 22]], [[-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]], [[3, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-2, 15], [-1, 17], [1, 21], [1, 23]], [[-1, 6], [1, 8], [-1, 22]], [[-1, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-1, 17], [1, 21], [1, 23]], [[1, 5], [-1, 9], [1, 19], [2, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 5], [1, 9], [1, 19], [-2, 23]], [[-1, 5], [1, 9], [-1, 19], [-2, 23]], [[1, 2], [-1, 12], [-1, 16]], [[-1, 2], [1, 12], [1, 16]], [[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], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-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, 5], [-1, 9], [-1, 19], [2, 23]], [[1, 6], [-1, 8], [1, 22]], [[1, 2], [-1, 12], [-1, 16]], [[-1, 0], [-1, 2], [1, 6], [1, 8], [-1, 12], [1, 16], [2, 18], [-1, 22]], [[1, 0], [1, 2], [-1, 6], [-1, 8], [1, 12], [-1, 16], [-2, 18], [1, 22]], [[1, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [1, 17], [-1, 21], [-1, 23]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 17], [1, 19], [-1, 23]], [[-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: 11347769
    {'center': '336.a1.a1', 'center_index': 336, 'center_order': 4, 'counter': 147, 'cyclotomic_n': 84, 'dim': 4, 'faithful': False, 'field': [729, 0, 243, 0, 81, 0, 27, 0, 9, 0, 3, 0, 1], 'group': '1344.1752', 'group_counter': 1752, 'group_order': 1344, 'image': None, 'image_isoclass': '672.451', 'image_order': 672, 'indicator': 0, 'kernel': '672.b1.a1', 'kernel_order': 2, 'label': '1344.1752.4n9', 'nt': [336, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 12], [2, -12]], [[-2, 18], [-2, -18]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 7], [-2, -7]], [[2, 7], [2, -7]], [[2, 7], [2, -7]], [[-2, 7], [-2, -7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 18], [2, -18]], [[2, 18], [2, -18]], [[-2, 12], [-2, -12]], [[2, 6], [2, -6]], [[-2, 12], [-2, -12]], [[-2, 18], [-2, -18]], [[2, 12], [2, -12]], [[-2, 6], [-2, -6]], [[1, 18], [1, -18]], [[1, 6], [1, -6]], [[-1, 12], [-1, -12]], [[2, 2], [-2, 12], [-2, 16]], [[-2, 0], [-2, 2], [2, 6], [2, 8], [-2, 12], [2, 16], [4, 18], [-2, 22]], [[2, 0], [2, 2], [-2, 6], [-2, 8], [2, 12], [-2, 16], [-4, 18], [2, 22]], [[-2, 6], [2, 8], [-2, 22]], [[-2, 2], [2, 12], [2, 16]], [[2, 0], [2, 2], [-2, 6], [-2, 8], [2, 12], [-2, 16], [-4, 18], [2, 22]], [[-2, 0], [-2, 2], [2, 6], [2, 8], [-2, 12], [2, 16], [4, 18], [-2, 22]], [[2, 6], [-2, 8], [2, 22]], [[-2, 6], [2, 8], [-2, 22]], [[-2, 2], [2, 12], [2, 16]], [[2, 6], [-2, 8], [2, 22]], [[2, 2], [-2, 12], [-2, 16]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 12], [1, -12]], [[-1, 18], [-1, -18]], [[-1, 6], [-1, -6]], [[-1, 12], [-1, -12]], [[1, 18], [1, -18]], [[1, 12], [1, -12]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 18], [-1, -18]], [[1, 6], [-1, 8], [1, 22]], [[-1, 2], [1, 12], [1, 16]], [[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], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-1, 17], [1, 21], [1, 23]], [[-1, 5], [-1, 9], [-1, 19], [2, 23]], [[1, 0], [1, 2], [-1, 6], [-1, 8], [1, 12], [-1, 16], [-2, 18], [1, 22]], [[1, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [1, 17], [-1, 21], [-1, 23]], [[1, 2], [-1, 12], [-1, 16]], [[1, 5], [1, 9], [1, 19], [-2, 23]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 17], [-1, 19], [1, 23]], [[-1, 0], [-1, 2], [1, 6], [1, 8], [-1, 12], [1, 16], [2, 18], [-1, 22]], [[1, 5], [-1, 9], [1, 19], [2, 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, 0], [1, 2], [-1, 6], [-1, 8], [1, 12], [-1, 16], [-2, 18], [1, 22]], [[-1, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 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, 1], [1, 5], [1, 7], [-1, 11], [1, 13], [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, 6], [1, 8], [-1, 22]], [[1, 6], [-1, 8], [1, 22]], [[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, 1], [1, 7], [1, 9], [1, 11], [-1, 13], [-1, 17], [1, 19], [-1, 23]], [[-1, 1], [-2, 3], [1, 7], [1, 9], [1, 11], [-1, 13], [3, 17], [1, 19], [-1, 23]], [[-1, 1], [-1, 5], [-1, 7], [1, 11], [-1, 13], [-1, 17], [1, 21], [1, 23]], [[-1, 0], [-1, 2], [1, 6], [1, 8], [-1, 12], [1, 16], [2, 18], [-1, 22]], [[-1, 6], [1, 8], [-1, 22]], [[1, 2], [-1, 12], [-1, 16]], [[-1, 2], [1, 12], [1, 16]], [[1, 1], [-1, 7], [-1, 9], [-1, 11], [1, 13], [1, 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, 5], [1, 9], [-1, 19], [-2, 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: 71908650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 1344, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 42, 'label': '1344.1752.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1344.1752', 'subgroup_hash': 1752, 'subgroup_order': 1344, 'subgroup_tex': 'C_{12}.(C_4\\times D_{14})', 'supersolvable': True, 'sylow': 0}
  • id: 71908761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 672, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '672.847', 'subgroup_hash': 847, 'subgroup_order': 672, 'subgroup_tex': 'C_{84}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 672, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '672.761', 'subgroup_hash': 761, 'subgroup_order': 672, 'subgroup_tex': 'C_{84}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 672, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.2.c1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '672.224', 'subgroup_hash': 224, 'subgroup_order': 672, 'subgroup_tex': 'C_{42}.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 71908811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 672, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.2.d1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '672.462', 'subgroup_hash': 462, 'subgroup_order': 672, 'subgroup_tex': 'C_{42}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 672, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.2.e1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '672.89', 'subgroup_hash': 89, 'subgroup_order': 672, 'subgroup_tex': 'C_{28}.D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 672, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.2.f1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '672.87', 'subgroup_hash': 87, 'subgroup_order': 672, 'subgroup_tex': 'C_{12}.D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 672, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.2.g1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '672.103', 'subgroup_hash': 103, 'subgroup_order': 672, 'subgroup_tex': 'C_{84}.Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 224, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 14, 'label': '1344.1752.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '448.564', 'subgroup_hash': 564, 'subgroup_order': 448, 'subgroup_tex': 'C_4^2.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71908651
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 336, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '336.106', 'subgroup_hash': 106, 'subgroup_order': 336, 'subgroup_tex': 'C_4\\times C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 71908662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 336, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '336.184', 'subgroup_hash': 184, 'subgroup_order': 336, 'subgroup_tex': 'C_{42}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 336, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '336.83', 'subgroup_hash': 83, 'subgroup_order': 336, 'subgroup_tex': 'C_{12}:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 336, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '336.174', 'subgroup_hash': 174, 'subgroup_order': 336, 'subgroup_tex': 'C_{42}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 336, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '336.67', 'subgroup_hash': 67, 'subgroup_order': 336, 'subgroup_tex': 'C_{28}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908706
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 336, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '336.95', 'subgroup_hash': 95, 'subgroup_order': 336, 'subgroup_tex': 'C_{42}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908717
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 336, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '336.95', 'subgroup_hash': 95, 'subgroup_order': 336, 'subgroup_tex': 'C_{42}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.4.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.38', 'subgroup_hash': 38, 'subgroup_order': 336, 'subgroup_tex': 'C_{21}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.4.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.38', 'subgroup_hash': 38, 'subgroup_order': 336, 'subgroup_tex': 'C_{21}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.4.h1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.38', 'subgroup_hash': 38, 'subgroup_order': 336, 'subgroup_tex': 'C_{21}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.4.h1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.38', 'subgroup_hash': 38, 'subgroup_order': 336, 'subgroup_tex': 'C_{21}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908773
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 168, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.4.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '336.81', 'subgroup_hash': 81, 'subgroup_order': 336, 'subgroup_tex': 'C_{12}:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 168, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.4.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '336.66', 'subgroup_hash': 66, 'subgroup_order': 336, 'subgroup_tex': 'C_{42}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 168, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.4.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '336.82', 'subgroup_hash': 82, 'subgroup_order': 336, 'subgroup_tex': 'C_{42}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908783
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 168, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.4.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '336.65', 'subgroup_hash': 65, 'subgroup_order': 336, 'subgroup_tex': 'C_{28}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 224, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '224.63', 'subgroup_hash': 63, 'subgroup_order': 224, 'subgroup_tex': 'C_{28}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 112, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.154', 'subgroup_hash': 154, 'subgroup_order': 224, 'subgroup_tex': 'Q_8\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 112, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.6.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.9', 'subgroup_hash': 9, 'subgroup_order': 224, 'subgroup_tex': 'C_{14}.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 71908787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.6.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.138', 'subgroup_hash': 138, 'subgroup_order': 224, 'subgroup_tex': 'C_{14}:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.6.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.41', 'subgroup_hash': 41, 'subgroup_order': 224, 'subgroup_tex': 'C_{14}.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.6.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.16', 'subgroup_hash': 16, 'subgroup_order': 224, 'subgroup_tex': 'C_4.D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.6.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.14', 'subgroup_hash': 14, 'subgroup_order': 224, 'subgroup_tex': 'C_{28}.Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 96, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '1344.1752.7.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.589', 'subgroup_hash': 589, 'subgroup_order': 192, 'subgroup_tex': 'C_4^2.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71908793
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 168, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.39', 'subgroup_hash': 39, 'subgroup_order': 168, 'subgroup_tex': 'C_2\\times C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 71908794
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 168, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.39', 'subgroup_hash': 39, 'subgroup_order': 168, 'subgroup_tex': 'C_2\\times C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 71908795
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 168, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.39', 'subgroup_hash': 39, 'subgroup_order': 168, 'subgroup_tex': 'C_2\\times C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 71908796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 168, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.29', 'subgroup_hash': 29, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 168, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.8.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.29', 'subgroup_hash': 29, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 168, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.24', 'subgroup_hash': 24, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 168, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.8.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.24', 'subgroup_hash': 24, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908801
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 168, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.5', 'subgroup_hash': 5, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908802
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 168, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.8.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.5', 'subgroup_hash': 5, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908803
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 84, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.32', 'subgroup_hash': 32, 'subgroup_order': 168, 'subgroup_tex': 'C_6:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908804
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 84, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.32', 'subgroup_hash': 32, 'subgroup_order': 168, 'subgroup_tex': 'C_6:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908805
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 84, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.8.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.27', 'subgroup_hash': 27, 'subgroup_order': 168, 'subgroup_tex': 'C_{14}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908806
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 84, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.8.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.27', 'subgroup_hash': 27, 'subgroup_order': 168, 'subgroup_tex': 'C_{14}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 84, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.8.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.29', 'subgroup_hash': 29, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 84, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.8.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.24', 'subgroup_hash': 24, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908809
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 84, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.8.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '168.5', 'subgroup_hash': 5, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908810
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 112, 'counter': 49, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '112.19', 'subgroup_hash': 19, 'subgroup_order': 112, 'subgroup_tex': 'C_4\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 112, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '112.27', 'subgroup_hash': 27, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 112, 'counter': 51, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '112.12', 'subgroup_hash': 12, 'subgroup_order': 112, 'subgroup_tex': 'C_{28}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 56, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.39', 'subgroup_hash': 39, 'subgroup_order': 112, 'subgroup_tex': 'Q_8\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71908815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 56, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.21', 'subgroup_hash': 21, 'subgroup_order': 112, 'subgroup_tex': 'C_4:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908816
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.8', 'subgroup_hash': 8, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908817
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.12.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.8', 'subgroup_hash': 8, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908818
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 56, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.12.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.19', 'subgroup_hash': 19, 'subgroup_order': 112, 'subgroup_tex': 'C_4\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 56, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.12.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.11', 'subgroup_hash': 11, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 56, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.12.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.21', 'subgroup_hash': 21, 'subgroup_order': 112, 'subgroup_tex': 'C_4:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908821
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 56, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.12.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.10', 'subgroup_hash': 10, 'subgroup_order': 112, 'subgroup_tex': 'C_{28}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.12.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.17', 'subgroup_hash': 17, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.12.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.17', 'subgroup_hash': 17, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.12.l1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.l1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.17', 'subgroup_hash': 17, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.12.l1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.l1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.17', 'subgroup_hash': 17, 'subgroup_order': 112, 'subgroup_tex': 'C_7:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 96, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.14.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '14.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '14.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.75', 'subgroup_hash': 75, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 48, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.14.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.166', 'subgroup_hash': 166, 'subgroup_order': 96, 'subgroup_tex': 'Q_8\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.14.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.10', 'subgroup_hash': 10, 'subgroup_order': 96, 'subgroup_tex': 'C_6.C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 71908830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.14.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.150', 'subgroup_hash': 150, 'subgroup_order': 96, 'subgroup_tex': 'C_6:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.14.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.17', 'subgroup_hash': 17, 'subgroup_order': 96, 'subgroup_tex': 'C_4.D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.14.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.42', 'subgroup_hash': 42, 'subgroup_order': 96, 'subgroup_tex': 'C_6.Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.14.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.15', 'subgroup_hash': 15, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}.Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908835
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 84, 'counter': 71, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.15', 'subgroup_hash': 15, 'subgroup_order': 84, 'subgroup_tex': 'C_2\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 71908836
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 84, 'counter': 72, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.6', 'subgroup_hash': 6, 'subgroup_order': 84, 'subgroup_tex': 'C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 71908837
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 84, 'counter': 73, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.10', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.6', 'subgroup_hash': 6, 'subgroup_order': 84, 'subgroup_tex': 'C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 71908838
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 42, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.3', 'subgroup_hash': 3, 'subgroup_order': 84, 'subgroup_tex': 'C_3:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908839
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 42, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.16.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.3', 'subgroup_hash': 3, 'subgroup_order': 84, 'subgroup_tex': 'C_3:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908840
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 42, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.4', 'subgroup_hash': 4, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908841
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 42, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.16.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.4', 'subgroup_hash': 4, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908842
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 42, 'counter': 78, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.16.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.6', 'subgroup_hash': 6, 'subgroup_order': 84, 'subgroup_tex': 'C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 71908843
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 42, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.16.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.4', 'subgroup_hash': 4, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908845
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 42, 'counter': 80, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.16.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.6', 'subgroup_hash': 6, 'subgroup_order': 84, 'subgroup_tex': 'C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 71908846
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 42, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.16.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.3', 'subgroup_hash': 3, 'subgroup_order': 84, 'subgroup_tex': 'C_3:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1344.1752.21.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '21.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 21, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.122', 'subgroup_hash': 122, 'subgroup_order': 64, 'subgroup_tex': 'Q_{16}:C_4', 'supersolvable': True, 'sylow': 2}
  • id: 71908848
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 56, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908849
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 56, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, '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: 71908850
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 56, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1.a1', 'outer_equivalence': False, '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: 71908851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 56, 'counter': 86, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 56, 'counter': 87, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.24.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908853
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908854
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908856
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 28, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.24.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908857
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 28, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.24.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 28, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.24.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.10', 'subgroup_hash': 10, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 28, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.24.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908860
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.24.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.1', 'subgroup_hash': 1, 'subgroup_order': 56, 'subgroup_tex': 'C_7:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 28, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.24.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.10', 'subgroup_hash': 10, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 28, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.24.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '56.10', 'subgroup_hash': 10, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908863
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.24.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.1', 'subgroup_hash': 1, 'subgroup_order': 56, 'subgroup_tex': 'C_7:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908864
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.24.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.m1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.1', 'subgroup_hash': 1, 'subgroup_order': 56, 'subgroup_tex': 'C_7:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908865
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 48, 'counter': 99, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.28.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 48, 'counter': 100, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.28.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.34', 'subgroup_hash': 34, 'subgroup_order': 48, 'subgroup_tex': 'C_6:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': True, 'core_order': 48, 'counter': 101, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.28.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.13', 'subgroup_hash': 13, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.28.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.46', 'subgroup_hash': 46, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.28.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.22', 'subgroup_hash': 22, 'subgroup_order': 48, 'subgroup_tex': 'C_4:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908656
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.28.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.9', 'subgroup_hash': 9, 'subgroup_order': 48, 'subgroup_tex': 'C_6:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908657
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.28.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.9', 'subgroup_hash': 9, 'subgroup_order': 48, 'subgroup_tex': 'C_6:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908658
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 24, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.28.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.11', 'subgroup_hash': 11, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 24, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.28.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.22', 'subgroup_hash': 22, 'subgroup_order': 48, 'subgroup_tex': 'C_4:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 24, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.28.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.12', 'subgroup_hash': 12, 'subgroup_order': 48, 'subgroup_tex': 'C_6.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908661
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 24, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.28.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.28.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.18', 'subgroup_hash': 18, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.28.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.18', 'subgroup_hash': 18, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.28.l1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.l1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.18', 'subgroup_hash': 18, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.28.l1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.l1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.18', 'subgroup_hash': 18, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908667
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 42, 'counter': 114, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 71908668
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 42, 'counter': 115, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.44', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 71908669
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 42, 'counter': 116, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.44', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 44, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 71908670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 16, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.42.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.26', 'subgroup_hash': 26, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 16, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.42.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.26', 'subgroup_hash': 26, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.42.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.4', 'subgroup_hash': 4, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.42.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.41', 'subgroup_hash': 41, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.42.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.10', 'subgroup_hash': 10, 'subgroup_order': 32, 'subgroup_tex': 'Q_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.42.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.10', 'subgroup_hash': 10, 'subgroup_order': 32, 'subgroup_tex': 'Q_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.42.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.13', 'subgroup_hash': 13, 'subgroup_order': 32, 'subgroup_tex': 'C_8:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908678
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 28, 'counter': 124, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.43', '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: 71908679
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 28, 'counter': 125, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_2', '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: 71908680
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 28, 'counter': 126, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.35', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 35, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908681
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 14, 'counter': 127, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.48.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908682
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 14, 'counter': 128, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.48.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908683
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 14, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.48.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908685
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 14, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.48.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908686
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': False, 'core_order': 14, 'counter': 131, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.48.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908687
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 14, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.48.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908688
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 14, 'counter': 133, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.48.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908689
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 14, 'counter': 134, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.48.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71908690
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 24, 'counter': 135, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.56.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908691
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 24, 'counter': 136, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.56.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:D_4', '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: 71908692
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 24, 'counter': 137, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.56.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_7:D_4', '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: 71908693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 24, 'counter': 138, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.56.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 24, 'counter': 139, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.56.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '56.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908696
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 12, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.56.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908697
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 12, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.56.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908698
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.56.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908699
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 12, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.56.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 12, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.56.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.56.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908702
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.56.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.56.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.56.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908705
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.56.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908707
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.56.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.m1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908708
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 21, 'counter': 151, 'cyclic': True, 'direct': False, 'hall': 21, 'label': '1344.1752.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.122', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 122, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}:C_4', 'simple': False, 'solvable': True, 'special_labels': ['L3', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '21.2', 'subgroup_hash': 2, 'subgroup_order': 21, 'subgroup_tex': 'C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 71908709
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 16, 'counter': 152, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.84.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '84.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '84.8', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 84, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_7', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 71908710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 8, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.84.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 8, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.84.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.84.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.84.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908714
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.84.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908715
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.84.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908716
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 8, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.84.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 71908718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.84.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 8, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.84.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908720
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.84.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 71908721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.84.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.84.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.84.l1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.l1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 4, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.84.l1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.l1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71908725
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 14, 'counter': 167, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.135', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 135, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_4', '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: 71908726
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 14, 'counter': 168, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.96.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.158', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 158, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}.D_4', '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: 71908727
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 14, 'counter': 169, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.96.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.149', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 149, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}.D_4', '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: 71908729
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 12, 'counter': 170, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.112.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.36', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}:D_4', '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: 71908730
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 12, 'counter': 171, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.112.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 30, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{28}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908731
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 12, 'counter': 172, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.112.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '112.28', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908732
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 6, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.112.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908733
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 6, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.112.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 71908734
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 175, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.112.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908735
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 176, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.112.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908736
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 6, 'counter': 177, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.112.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908737
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 178, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.112.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908738
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': False, 'core_order': 6, 'counter': 179, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.112.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71908740
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 6, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.112.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908741
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 8, 'counter': 181, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.168.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '168.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': ['Phi'], '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: 71908742
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 8, 'counter': 182, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.168.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '168.15', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{21}:D_4', '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: 71908743
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 8, 'counter': 183, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.168.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '168.15', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{21}:D_4', '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: 71908744
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.168.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908745
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.168.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908746
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.168.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908747
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.168.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 4, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.168.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.168.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908751
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 190, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.168.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 4, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.168.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 4, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.168.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 71908754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.168.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.1752.168.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 71908756
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 195, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.168.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908757
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 196, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.168.m1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.m1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71908758
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 7, 'counter': 197, 'cyclic': True, 'direct': False, 'hall': 7, 'label': '1344.1752.192.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.589', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 589, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_6', 'simple': True, 'solvable': True, 'special_labels': ['C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 7}
  • id: 71908759
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 6, 'counter': 198, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.224.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '224.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '224.123', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 123, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{28}:D_4', '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: 71908760
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 6, 'counter': 199, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.224.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '224.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '224.137', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 137, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{28}.D_4', '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: 71908763
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 6, 'counter': 200, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.224.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '224.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '224.146', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 146, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{28}.D_4', '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: 71908764
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': True, 'central_factor': False, 'centralizer_order': 1344, 'characteristic': True, 'core_order': 4, 'counter': 201, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.1752.336.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '336.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '336.157', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 157, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{42}:D_4', '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: 71908765
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 4, 'counter': 202, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.336.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '336.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '336.144', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 144, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}.D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908766
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 4, 'counter': 203, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.336.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '336.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '336.147', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 147, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908767
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 2, 'counter': 204, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.336.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908768
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 2, 'counter': 205, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.336.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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: 71908769
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 206, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.336.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908770
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 207, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.336.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908771
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': False, 'core_order': 2, 'counter': 208, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.336.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908772
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 209, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.336.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908774
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': False, 'core_order': 2, 'counter': 210, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.336.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908775
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 2, 'counter': 211, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.1752.336.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71908776
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 3, 'counter': 212, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '1344.1752.448.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '448.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '448.564', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 564, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 448, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_{14}', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 71908777
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': True, 'central_factor': False, 'centralizer_order': 1344, 'characteristic': True, 'core_order': 2, 'counter': 213, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.672.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '672.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '672.583', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 583, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 672, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{84}:D_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71908778
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': True, 'central_factor': False, 'centralizer_order': 1344, 'characteristic': True, 'core_order': 2, 'counter': 214, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.672.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '672.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '672.451', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 451, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 672, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{84}.D_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71908779
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': True, 'central_factor': False, 'centralizer_order': 1344, 'characteristic': True, 'core_order': 2, 'counter': 215, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.1752.672.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '672.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '672.453', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 453, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 672, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{84}.D_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71908780
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.1752', 'ambient_counter': 1752, 'ambient_order': 1344, 'ambient_tex': 'C_{12}.(C_4\\times D_{14})', 'central': True, 'central_factor': False, 'centralizer_order': 1344, 'characteristic': True, 'core_order': 1, 'counter': 216, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1344.1752.1344.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1344.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1344.1752', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1752, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1344, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}.(C_4\\times D_{14})', '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: 71908650
    {'ambient': '1344.1752', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '336.a1.a1', 'complements': ['1344.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1', '3.a1.a1', '7.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3634, 5557, 5336, 4862, 6185, 4627, 5142, 5507], 'generators': [1, 16, 448, 8, 32, 192, 2, 4], 'label': '1344.1752.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.c1.a1', '2.d1.a1', '2.e1.a1', '2.f1.a1', '2.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '336.157'}
  • id: 71908651
    {'ambient': '1344.1752', 'aut_centralizer_order': 672, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '96.231', 'aut_weyl_index': 672, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '12.a1.a1', '28.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7008, 2165, 2201, 7541, 3497, 8185, 2855, 8429], 'generators': [2, 32, 448, 192, 16, 4], 'label': '1344.1752.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.c1.a1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '12.a1.a1', '28.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '336.157', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908652
    {'ambient': '1344.1752', 'aut_centralizer_order': 672, 'aut_label': '28.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '96.209', 'aut_weyl_index': 672, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '14.a1.a1', '14.d1.a1', '14.e1.a1'], 'contains': ['56.a1.a1', '56.d1.a1', '56.d1.b1', '56.e1.a1', '56.i1.a1', '84.b1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2907, 4254, 7095, 4897, 5522, 2373, 5237, 5895], 'generators': [1, 448, 4, 16, 32], 'label': '1344.1752.28.b1.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.b1.a1', 'normal_contained_in': ['4.b1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '56.d1.a1', '56.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '28.b1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.b1.a1', 'subgroup_fusion': None, 'weyl_group': '24.8'}
  • id: 71908653
    {'ambient': '1344.1752', 'aut_centralizer_order': 672, 'aut_label': '28.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '96.209', 'aut_weyl_index': 672, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '14.a1.a1', '14.f1.a1', '14.g1.a1'], 'contains': ['56.a1.a1', '56.f1.a1', '84.c1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5075, 3001, 4211, 5752, 4167, 3863, 4301, 6989], 'generators': [3, 448, 16, 36, 32], 'label': '1344.1752.28.c1.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.c1.a1', 'normal_contained_in': ['4.c1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.c1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.c1.a1', 'subgroup_fusion': None, 'weyl_group': '24.8'}
  • id: 71908654
    {'ambient': '1344.1752', 'aut_centralizer_order': 288, 'aut_label': '28.d1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '32.46', 'aut_weyl_index': 2016, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '14.b1.a1', '14.d1.a1', '14.f1.a1'], 'contains': ['56.a1.a1', '56.g1.a1', '56.j1.a1', '56.l1.a1', '56.l1.b1', '84.d1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [4215, -1, 4904, -1, 6775, -1, 6905, -1], 'generators': [11, 32, 4, 16, 448], 'label': '1344.1752.28.d1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.d1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908655
    {'ambient': '1344.1752', 'aut_centralizer_order': 288, 'aut_label': '28.e1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '32.46', 'aut_weyl_index': 2016, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '14.b1.a1', '14.e1.a1', '14.g1.a1'], 'contains': ['56.a1.a1', '56.h1.a1', '84.e1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [5551, -1, 3655, -1, 4840, -1, 3514, -1], 'generators': [9, 32, 16, 448, 4], 'label': '1344.1752.28.e1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.e1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908656
    {'ambient': '1344.1752', 'aut_centralizer_order': 192, 'aut_label': '28.f1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '48.51', 'aut_weyl_index': 1344, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '14.c1.a1', '14.d1.a1', '14.g1.a1'], 'contains': ['56.a1.a1', '56.m1.a1', '56.m1.b1', '84.f1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [1416, -1, 7837, -1, 8847, -1, 8838, -1], 'generators': [10, 448, 16, 52, 32], 'label': '1344.1752.28.f1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.f1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.f1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71908657
    {'ambient': '1344.1752', 'aut_centralizer_order': 192, 'aut_label': '28.g1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '48.51', 'aut_weyl_index': 1344, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '14.c1.a1', '14.e1.a1', '14.f1.a1'], 'contains': ['56.a1.a1', '56.k1.a1', '84.g1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [3358, -1, 5680, -1, 7647, -1, 5901, -1], 'generators': [4, 448, 8, 16, 32], 'label': '1344.1752.28.g1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.g1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.g1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71908658
    {'ambient': '1344.1752', 'aut_centralizer_order': 336, 'aut_label': '28.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '96.230', 'aut_weyl_index': 672, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '14.a1.a1'], 'contains': ['56.b1.a1', '56.e1.a1', '56.f1.a1', '84.h1.a1'], 'core': '56.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6491, -1, 2305, -1, 896, -1, 1974, -1], 'generators': [1, 448, 2, 4, 32], 'label': '1344.1752.28.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.h1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71908659
    {'ambient': '1344.1752', 'aut_centralizer_order': 144, 'aut_label': '28.i1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '32.51', 'aut_weyl_index': 2016, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1', '14.b1.a1'], 'contains': ['56.b1.a1', '56.g1.a1', '56.h1.a1', '84.i1.a1'], 'core': '56.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [8995, -1, 580, -1, 2327, -1, 670, -1], 'generators': [9, 32, 2, 448, 4], 'label': '1344.1752.28.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '28.i1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.i1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908660
    {'ambient': '1344.1752', 'aut_centralizer_order': 336, 'aut_label': '28.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '96.230', 'aut_weyl_index': 672, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '14.a1.a1'], 'contains': ['56.c1.a1', '56.e1.a1', '56.f1.a1', '84.j1.a1'], 'core': '56.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6700, -1, 2962, -1, 1092, -1, 2354, -1], 'generators': [1, 448, 18, 36, 32], 'label': '1344.1752.28.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '28.j1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.j1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71908661
    {'ambient': '1344.1752', 'aut_centralizer_order': 144, 'aut_label': '28.k1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '32.51', 'aut_weyl_index': 2016, 'centralizer': '28.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.l1.a1', '14.b1.a1'], 'contains': ['56.c1.a1', '56.g1.a1', '56.h1.a1', '84.k1.a1'], 'core': '56.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [8668, -1, 1175, -1, 2575, -1, 1304, -1], 'generators': [9, 32, 18, 448, 4], 'label': '1344.1752.28.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '28.k1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908662
    {'ambient': '1344.1752', 'aut_centralizer_order': 112, 'aut_label': '4.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '576.8609', 'aut_weyl_index': 112, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'contains': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '8.g1.a1', '8.k1.a1', '12.d1.a1', '28.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2615, 6519, 7095, 4420, 5347, 1200, 4753, 5369], 'generators': [1, 448, 16, 192, 4, 32], 'label': '1344.1752.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1', '2.d1.a1', '2.e1.a1'], 'normal_contains': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '28.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '24.8'}
  • id: 71908663
    {'ambient': '1344.1752', 'aut_centralizer_order': 24, 'aut_label': '28.l1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '96.209', 'aut_weyl_index': 672, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '14.d1.a1'], 'contains': ['56.d1.a1', '56.l1.a1', '56.m1.a1', '84.l1.a1'], 'core': '56.d1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [81, -1, 8963, -1, 9566, -1, 9326, -1], 'generators': [1, 448, 10, 20, 32], 'label': '1344.1752.28.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.l1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.l1.a1', 'subgroup_fusion': None, 'weyl_group': '48.43'}
  • id: 71908664
    {'ambient': '1344.1752', 'aut_centralizer_order': 24, 'aut_label': '28.l1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '96.209', 'aut_weyl_index': 672, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.b1', '14.d1.a1'], 'contains': ['56.d1.a1', '56.l1.b1', '56.m1.b1', '84.l1.b1'], 'core': '56.d1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [81, -1, 9561, -1, 9566, -1, 9935, -1], 'generators': [1, 448, 26, 52, 32], 'label': '1344.1752.28.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.l1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.l1.b1', 'subgroup_fusion': None, 'weyl_group': '48.43'}
  • id: 71908665
    {'ambient': '1344.1752', 'aut_centralizer_order': 24, 'aut_label': '28.l1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '96.209', 'aut_weyl_index': 672, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.c1', '14.d1.a1'], 'contains': ['56.d1.b1', '56.l1.a1', '56.m1.b1', '84.l1.c1'], 'core': '56.d1.b1', 'coset_action_label': None, 'count': 7, 'diagramx': [81, -1, 9950, -1, 9566, -1, 9630, -1], 'generators': [17, 448, 26, 52, 32], 'label': '1344.1752.28.l1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.l1.c1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.l1.c1', 'subgroup_fusion': None, 'weyl_group': '48.43'}
  • id: 71908666
    {'ambient': '1344.1752', 'aut_centralizer_order': 24, 'aut_label': '28.l1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '96.209', 'aut_weyl_index': 672, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.d1', '14.d1.a1'], 'contains': ['56.d1.b1', '56.l1.b1', '56.m1.a1', '84.l1.d1'], 'core': '56.d1.b1', 'coset_action_label': None, 'count': 7, 'diagramx': [81, -1, 9357, -1, 9566, -1, 9782, -1], 'generators': [17, 448, 10, 20, 32], 'label': '1344.1752.28.l1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '28.l1.d1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.l1.d1', 'subgroup_fusion': None, 'weyl_group': '48.43'}
  • id: 71908667
    {'ambient': '1344.1752', 'aut_centralizer_order': 5376, 'aut_label': '32.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.d1.a1', '16.d1.b1', '16.e1.a1', '16.e1.b1'], 'contains': ['64.a1.a1', '96.a1.a1', '224.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4480, 4968, 4694, 8401, 5661, 5839, 5365, 4556], 'generators': [32, 192, 448], 'label': '1344.1752.32.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1'], 'normal_contains': ['64.a1.a1', '96.a1.a1', '224.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '672.583', 'quotient_action_image': '4.2', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908668
    {'ambient': '1344.1752', 'aut_centralizer_order': 5376, 'aut_label': '32.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.f1.a1', '16.g1.a1'], 'contains': ['64.a1.a1', '96.b1.a1', '224.b1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9630, 993, 151, 9475, 1629, 9435, 979, 6909], 'generators': [4, 192, 448], 'label': '1344.1752.32.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.b1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '96.b1.a1', '224.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.b1.a1', 'projective_image': '672.451', 'quotient_action_image': '4.2', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908669
    {'ambient': '1344.1752', 'aut_centralizer_order': 5376, 'aut_label': '32.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.h1.a1', '16.i1.a1'], 'contains': ['64.a1.a1', '96.c1.a1', '224.c1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8328, 1571, 892, 9041, 1232, 9012, 1613, 7277], 'generators': [36, 192, 448], 'label': '1344.1752.32.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '32.c1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '96.c1.a1', '224.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.c1.a1', 'projective_image': '672.453', 'quotient_action_image': '4.2', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908670
    {'ambient': '1344.1752', 'aut_centralizer_order': 336, 'aut_label': '42.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1008, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1.a1', '14.a1.a1', '21.a1.a1'], 'contains': ['84.a1.a1', '84.b1.a1', '84.c1.a1', '84.h1.a1', '84.j1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4765, -1, 4575, -1, 3974, -1, 3709, -1], 'generators': [1, 2, 16], 'label': '1344.1752.42.a1.a1', 'mobius_quo': None, 'mobius_sub': -7, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '42.a1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.a1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908671
    {'ambient': '1344.1752', 'aut_centralizer_order': 144, 'aut_label': '42.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1008, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1.a1', '14.b1.a1', '21.a1.a1'], 'contains': ['84.a1.a1', '84.d1.a1', '84.e1.a1', '84.i1.a1', '84.k1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [5969, -1, 3405, -1, 4611, -1, 3167, -1], 'generators': [9, 2, 16], 'label': '1344.1752.42.b1.a1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '42.b1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908672
    {'ambient': '1344.1752', 'aut_centralizer_order': 96, 'aut_label': '42.c1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '32.51', 'aut_weyl_index': 2016, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1.a1', '14.c1.a1', '21.a1.a1'], 'contains': ['84.a1.a1', '84.f1.a1', '84.g1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [1590, -1, 6425, -1, 8159, -1, 6123, -1], 'generators': [2, 8], 'label': '1344.1752.42.c1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.c1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71908673
    {'ambient': '1344.1752', 'aut_centralizer_order': 112, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '576.8609', 'aut_weyl_index': 112, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '8.h1.a1', '12.e1.a1', '28.c1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5018, 3190, 4796, 6693, 4265, 3863, 4180, 6989], 'generators': [3, 448, 192, 36, 16, 32], 'label': '1344.1752.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1', '2.f1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1', '28.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '24.8'}
  • id: 71908674
    {'ambient': '1344.1752', 'aut_centralizer_order': 48, 'aut_label': '42.d1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1008, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1.a1', '14.d1.a1', '21.a1.a1'], 'contains': ['84.b1.a1', '84.d1.a1', '84.f1.a1', '84.l1.a1', '84.l1.b1', '84.l1.c1', '84.l1.d1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [1070, -1, 7848, -1, 8597, -1, 8473, -1], 'generators': [1, 10, 16], 'label': '1344.1752.42.d1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.d1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.d1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 71908675
    {'ambient': '1344.1752', 'aut_centralizer_order': 48, 'aut_label': '42.e1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1008, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1.a1', '14.e1.a1', '21.a1.a1'], 'contains': ['84.b1.a1', '84.e1.a1', '84.g1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [1930, -1, 6242, -1, 6350, -1, 5403, -1], 'generators': [1, 8], 'label': '1344.1752.42.e1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.e1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.e1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 71908676
    {'ambient': '1344.1752', 'aut_centralizer_order': 48, 'aut_label': '42.f1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1008, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.f1.a1', '14.f1.a1', '21.a1.a1'], 'contains': ['84.c1.a1', '84.d1.a1', '84.g1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [2484, -1, 5943, -1, 7200, -1, 5521, -1], 'generators': [3, 8], 'label': '1344.1752.42.f1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.f1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.f1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 71908677
    {'ambient': '1344.1752', 'aut_centralizer_order': 48, 'aut_label': '42.g1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '64.261', 'aut_weyl_index': 1008, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1.a1', '14.g1.a1', '21.a1.a1'], 'contains': ['84.c1.a1', '84.e1.a1', '84.f1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [3063, -1, 5714, -1, 6212, -1, 4436, -1], 'generators': [9, 10], 'label': '1344.1752.42.g1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '42.g1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.g1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 71908678
    {'ambient': '1344.1752', 'aut_centralizer_order': 10752, 'aut_label': '48.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 10752, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.c1.a1', '24.e1.a1', '24.f1.a1', '24.g1.a1', '24.h1.a1'], 'contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '336.a1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7375, 5839, 1975, 6655, 2765, 8406, 2230, 6383], 'generators': [4, 192, 32], 'label': '1344.1752.48.a1.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.c1.a1'], 'normal_contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '336.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '336.157', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.14', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908679
    {'ambient': '1344.1752', 'aut_centralizer_order': 5376, 'aut_label': '48.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.a1.a1', '24.i1.a1', '24.j1.a1', '24.k1.a1'], 'contains': ['96.a1.a1', '336.b1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3623, 8069, 5401, 4900, 6143, 4762, 5478, 4923], 'generators': [16, 32, 192], 'label': '1344.1752.48.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.b1.a1', '24.a1.a1'], 'normal_contains': ['96.a1.a1', '336.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.a1', 'projective_image': '672.583', 'quotient_action_image': '4.2', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908680
    {'ambient': '1344.1752', 'aut_centralizer_order': 5376, 'aut_label': '48.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.a1.a1', '24.d1.a1', '24.d1.b1', '24.l1.a1', '24.l1.b1', '24.m1.a1', '24.m1.b1'], 'contains': ['96.a1.a1', '336.c1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [745, 8842, 8588, 3389, 7469, 3916, 7446, 3800], 'generators': [20, 32, 192], 'label': '1344.1752.48.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.c1.a1', 'normal_contained_in': ['16.c1.a1', '24.a1.a1', '24.d1.b1', '24.d1.a1'], 'normal_contains': ['96.a1.a1', '336.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.c1.a1', 'projective_image': '672.583', 'quotient_action_image': '4.2', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908681
    {'ambient': '1344.1752', 'aut_centralizer_order': 448, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '24.e1.a1', '24.i1.a1', '24.l1.a1'], 'contains': ['96.a1.a1', '336.d1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2319, -1, 6814, -1, 5409, -1, 4695, -1], 'generators': [1, 32, 192], 'label': '1344.1752.48.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.d1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908682
    {'ambient': '1344.1752', 'aut_centralizer_order': 448, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.b1', '24.e1.a1', '24.i1.a1', '24.l1.b1'], 'contains': ['96.a1.a1', '336.d1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2319, -1, 7263, -1, 5409, -1, 4535, -1], 'generators': [17, 32, 192], 'label': '1344.1752.48.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '48.d1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908683
    {'ambient': '1344.1752', 'aut_centralizer_order': 192, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '84.7', 'aut_weyl_index': 768, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '24.d1.a1', '24.g1.a1', '24.j1.a1'], 'contains': ['96.a1.a1', '336.e1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4805, -1, 3974, -1, 6521, -1, 6017, -1], 'generators': [11, 192, 32], 'label': '1344.1752.48.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.e1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71908684
    {'ambient': '1344.1752', 'aut_centralizer_order': 48, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1344.11434', 'aut_weyl_index': 48, 'centralizer': '56.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'contains': ['8.a1.a1', '8.e1.a1', '8.e1.b1', '8.i1.a1', '8.l1.a1', '12.b1.a1', '28.d1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4080, 9586, 5144, 291, 6626, 4728, 6651, 3809], 'generators': [11, 192, 16, 448, 4, 32], 'label': '1344.1752.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.b1.a1', '2.d1.a1', '2.f1.a1'], 'normal_contains': ['8.a1.a1', '8.e1.b1', '8.e1.a1', '12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '56.7'}
  • id: 71908685
    {'ambient': '1344.1752', 'aut_centralizer_order': 192, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '84.7', 'aut_weyl_index': 768, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.b1', '24.d1.b1', '24.g1.a1', '24.j1.a1'], 'contains': ['96.a1.a1', '336.e1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4805, -1, 4152, -1, 6521, -1, 6135, -1], 'generators': [27, 192, 32], 'label': '1344.1752.48.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.e1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1.b1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71908686
    {'ambient': '1344.1752', 'aut_centralizer_order': 2688, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '24.b1.a1'], 'contains': ['96.b1.a1', '336.f1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9463, -1, 478, -1, 1894, -1, 865, -1], 'generators': [2, 4, 192], 'label': '1344.1752.48.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.f1.a1', 'projective_image': '672.451', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71908687
    {'ambient': '1344.1752', 'aut_centralizer_order': 192, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '84.7', 'aut_weyl_index': 768, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '24.h1.a1'], 'contains': ['96.b1.a1', '336.g1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9731, -1, 50, -1, 2162, -1, 541, -1], 'generators': [9, 192, 4], 'label': '1344.1752.48.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.l1.a1', 'old_label': '48.g1.a1', 'projective_image': '672.451', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 71908688
    {'ambient': '1344.1752', 'aut_centralizer_order': 2688, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '24.c1.a1'], 'contains': ['96.c1.a1', '336.h1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7639, -1, 1477, -1, 1497, -1, 1726, -1], 'generators': [18, 36, 192], 'label': '1344.1752.48.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '48.h1.a1', 'projective_image': '672.453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908689
    {'ambient': '1344.1752', 'aut_centralizer_order': 448, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '24.f1.a1'], 'contains': ['96.c1.a1', '336.i1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6541, -1, 2198, -1, 1099, -1, 1951, -1], 'generators': [3, 36, 192], 'label': '1344.1752.48.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.h1.a1', 'old_label': '48.i1.a1', 'projective_image': '672.453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71908690
    {'ambient': '1344.1752', 'aut_centralizer_order': 16128, 'aut_label': '56.a1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '28.a1.a1', '28.b1.a1', '28.c1.a1', '28.d1.a1', '28.e1.a1', '28.f1.a1', '28.g1.a1'], 'contains': ['112.a1.a1', '112.b1.a1', '112.c1.a1', '168.a1.a1'], 'core': '56.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4316, 3813, 4884, 5408, 5841, 4123, 5221, 5950], 'generators': [4, 16, 448, 32], 'label': '1344.1752.56.a1.a1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.a1.a1', 'normal_contained_in': ['8.a1.a1', '28.a1.a1', '28.b1.a1', '28.c1.a1'], 'normal_contains': ['112.a1.a1', '112.b1.a1', '112.c1.a1', '168.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.a1.a1', 'projective_image': '336.157', 'quotient_action_image': '4.2', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '56.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908691
    {'ambient': '1344.1752', 'aut_centralizer_order': 8064, 'aut_label': '56.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 8064, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '28.a1.a1', '28.h1.a1', '28.i1.a1'], 'contains': ['112.a1.a1', '112.f1.a1', '168.b1.a1'], 'core': '56.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8657, 2440, 820, 8276, 1637, 6517, 1072, 9697], 'generators': [2, 32, 448, 4], 'label': '1344.1752.56.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.b1.a1', 'normal_contained_in': ['8.b1.a1', '28.a1.a1'], 'normal_contains': ['112.a1.a1', '168.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.b1.a1', 'projective_image': '336.157', 'quotient_action_image': '4.2', 'quotient_action_kernel': '14.2', 'quotient_action_kernel_order': 14, 'quotient_fusion': None, 'short_label': '56.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908692
    {'ambient': '1344.1752', 'aut_centralizer_order': 8064, 'aut_label': '56.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 8064, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '28.a1.a1', '28.j1.a1', '28.k1.a1'], 'contains': ['112.a1.a1', '112.h1.a1', '168.c1.a1'], 'core': '56.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8147, 414, 1783, 7639, 1882, 7300, 2143, 9017], 'generators': [18, 32, 448, 36], 'label': '1344.1752.56.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.c1.a1', 'normal_contained_in': ['8.c1.a1', '28.a1.a1'], 'normal_contains': ['112.a1.a1', '168.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.c1.a1', 'projective_image': '336.157', 'quotient_action_image': '2.1', 'quotient_action_kernel': '28.3', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '56.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908693
    {'ambient': '1344.1752', 'aut_centralizer_order': 672, 'aut_label': '56.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '48.38', 'aut_weyl_index': 1344, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '28.b1.a1', '28.l1.a1', '28.l1.b1'], 'contains': ['112.c1.a1', '112.d1.a1', '168.k1.a1'], 'core': '56.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [777, 7154, 8740, 4209, 7216, 2373, 7975, 3984], 'generators': [1, 20, 32, 448], 'label': '1344.1752.56.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.d1.a1', 'normal_contained_in': ['8.d1.a1', '28.b1.a1'], 'normal_contains': ['112.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.d1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.d1.a1', 'subgroup_fusion': None, 'weyl_group': '24.8'}
  • id: 71908694
    {'ambient': '1344.1752', 'aut_centralizer_order': 672, 'aut_label': '56.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '48.38', 'aut_weyl_index': 1344, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '28.b1.a1', '28.l1.c1', '28.l1.d1'], 'contains': ['112.c1.a1', '112.d1.b1', '168.k1.b1'], 'core': '56.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [777, 7154, 9630, 4569, 7216, 2373, 7857, 4368], 'generators': [17, 20, 32, 448], 'label': '1344.1752.56.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '56.d1.b1', 'normal_contained_in': ['8.d1.b1', '28.b1.a1'], 'normal_contains': ['112.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '56.d1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.d1.b1', 'subgroup_fusion': None, 'weyl_group': '24.8'}
  • id: 71908695
    {'ambient': '1344.1752', 'aut_centralizer_order': 48, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '1344.11434', 'aut_weyl_index': 48, 'centralizer': '56.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '8.j1.a1', '12.c1.a1', '28.e1.a1'], 'core': '4.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5330, 7629, 4166, 5178, 5055, 6526, 3508, 6179], 'generators': [9, 192, 448, 4, 16, 32], 'label': '1344.1752.4.e1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1.a1', 'normal_contained_in': ['2.b1.a1', '2.e1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1', '12.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.e1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '56.7'}
  • id: 71908696
    {'ambient': '1344.1752', 'aut_centralizer_order': 1344, 'aut_label': '56.e1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 2688, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '28.b1.a1', '28.h1.a1', '28.j1.a1'], 'contains': ['112.a1.a1', '112.d1.a1', '112.d1.b1', '168.d1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6176, -1, 3094, -1, 2885, -1, 3315, -1], 'generators': [1, 4, 32, 448], 'label': '1344.1752.56.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '56.e1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.e1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71908697
    {'ambient': '1344.1752', 'aut_centralizer_order': 1344, 'aut_label': '56.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.14', 'aut_weyl_index': 2688, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '28.c1.a1', '28.h1.a1', '28.j1.a1'], 'contains': ['112.a1.a1', '112.i1.a1', '168.e1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6871, -1, 2455, -1, 898, -1, 2669, -1], 'generators': [3, 32, 36, 448], 'label': '1344.1752.56.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '56.f1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.f1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71908698
    {'ambient': '1344.1752', 'aut_centralizer_order': 576, 'aut_label': '56.g1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '8.5', 'aut_weyl_index': 8064, 'centralizer': '28.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '28.d1.a1', '28.i1.a1', '28.k1.a1'], 'contains': ['112.a1.a1', '112.e1.a1', '112.e1.b1', '168.f1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [8919, -1, 1250, -1, 4140, -1, 3963, -1], 'generators': [11, 4, 448, 32], 'label': '1344.1752.56.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '56.g1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908699
    {'ambient': '1344.1752', 'aut_centralizer_order': 576, 'aut_label': '56.h1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '8.5', 'aut_weyl_index': 8064, 'centralizer': '28.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '28.e1.a1', '28.i1.a1', '28.k1.a1'], 'contains': ['112.a1.a1', '112.g1.a1', '168.g1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [9244, -1, 339, -1, 3379, -1, 655, -1], 'generators': [9, 32, 448, 4], 'label': '1344.1752.56.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '56.h1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908700
    {'ambient': '1344.1752', 'aut_centralizer_order': 672, 'aut_label': '56.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '48.38', 'aut_weyl_index': 1344, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '28.b1.a1'], 'contains': ['112.b1.a1', '112.d1.a1', '112.d1.b1', '168.h1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2729, -1, 6829, -1, 5236, -1, 4849, -1], 'generators': [1, 16, 32, 448], 'label': '1344.1752.56.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '56.i1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.i1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71908701
    {'ambient': '1344.1752', 'aut_centralizer_order': 288, 'aut_label': '56.j1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '28.d1.a1'], 'contains': ['112.b1.a1', '112.e1.a1', '112.e1.b1', '168.i1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [4742, -1, 4017, -1, 6697, -1, 6660, -1], 'generators': [11, 16, 448, 32], 'label': '1344.1752.56.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '56.j1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.j1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908702
    {'ambient': '1344.1752', 'aut_centralizer_order': 192, 'aut_label': '56.k1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '24.14', 'aut_weyl_index': 2688, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '28.g1.a1'], 'contains': ['112.b1.a1', '168.j1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [3060, -1, 6010, -1, 7900, -1, 5965, -1], 'generators': [8, 16, 32, 448], 'label': '1344.1752.56.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.c1.a1', 'old_label': '56.k1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.k1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71908703
    {'ambient': '1344.1752', 'aut_centralizer_order': 288, 'aut_label': '56.l1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '28.d1.a1', '28.l1.a1', '28.l1.c1'], 'contains': ['112.c1.a1', '112.e1.a1', '168.l1.a1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [2420, -1, 8481, -1, 8417, -1, 8240, -1], 'generators': [11, 20, 448, 32], 'label': '1344.1752.56.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '56.l1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.l1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908704
    {'ambient': '1344.1752', 'aut_centralizer_order': 288, 'aut_label': '56.l1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '28.d1.a1', '28.l1.b1', '28.l1.d1'], 'contains': ['112.c1.a1', '112.e1.b1', '168.l1.b1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [2420, -1, 9370, -1, 8417, -1, 8762, -1], 'generators': [27, 20, 448, 32], 'label': '1344.1752.56.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '56.l1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.l1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908705
    {'ambient': '1344.1752', 'aut_centralizer_order': 192, 'aut_label': '56.m1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '24.14', 'aut_weyl_index': 2688, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '28.f1.a1', '28.l1.a1', '28.l1.d1'], 'contains': ['112.c1.a1', '168.m1.a1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [156, -1, 9058, -1, 8864, -1, 9155, -1], 'generators': [10, 52, 32, 448], 'label': '1344.1752.56.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '56.m1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.m1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71908706
    {'ambient': '1344.1752', 'aut_centralizer_order': 32, 'aut_label': '4.f1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 32, 'centralizer': '168.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'contains': ['8.a1.a1', '8.f1.a1', '8.f1.b1', '12.f1.a1', '28.f1.a1'], 'core': '4.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [880, 5409, 7576, 3662, 8745, 2132, 7661, 3057], 'generators': [10, 192, 52, 32, 16, 448], 'label': '1344.1752.4.f1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1.a1', 'normal_contained_in': ['2.c1.a1', '2.d1.a1', '2.g1.a1'], 'normal_contains': ['8.a1.a1', '8.f1.b1', '8.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.f1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 71908707
    {'ambient': '1344.1752', 'aut_centralizer_order': 192, 'aut_label': '56.m1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '24.14', 'aut_weyl_index': 2688, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.b1', '28.f1.a1', '28.l1.b1', '28.l1.c1'], 'contains': ['112.c1.a1', '168.m1.b1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [156, -1, 9755, -1, 8864, -1, 9376, -1], 'generators': [26, 20, 32, 448], 'label': '1344.1752.56.m1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '56.m1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.m1.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71908708
    {'ambient': '1344.1752', 'aut_centralizer_order': 5376, 'aut_label': '64.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '4.a1.a1', 'complements': ['21.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'contains': ['192.a1.a1', '448.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8454, 1644, 717, 9264, 1709, 8421, 1645, 6283], 'generators': [448, 192], 'label': '1344.1752.64.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'normal_contains': ['192.a1.a1', '448.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '1344.1752', 'quotient_action_image': '4.2', 'quotient_action_kernel': '16.2', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908709
    {'ambient': '1344.1752', 'aut_centralizer_order': 8064, 'aut_label': '84.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 8064, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1.a1', '28.a1.a1', '42.a1.a1', '42.b1.a1', '42.c1.a1'], 'contains': ['168.a1.a1', '168.b1.a1', '168.c1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6078, 5787, 3472, 6506, 4575, 5925, 3474, 8504], 'generators': [2, 16], 'label': '1344.1752.84.a1.a1', 'mobius_quo': 0, 'mobius_sub': 42, 'normal_closure': '84.a1.a1', 'normal_contained_in': ['12.a1.a1', '28.a1.a1'], 'normal_contains': ['168.a1.a1', '168.b1.a1', '168.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '84.a1.a1', 'projective_image': '336.157', 'quotient_action_image': '4.2', 'quotient_action_kernel': '21.2', 'quotient_action_kernel_order': 21, 'quotient_fusion': None, 'short_label': '84.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908710
    {'ambient': '1344.1752', 'aut_centralizer_order': 1344, 'aut_label': '84.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.d1.a1', '28.b1.a1', '42.a1.a1', '42.d1.a1', '42.e1.a1'], 'contains': ['168.a1.a1', '168.d1.a1', '168.h1.a1', '168.k1.a1', '168.k1.b1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1851, -1, 7167, -1, 5616, -1, 5414, -1], 'generators': [1, 4, 16], 'label': '1344.1752.84.b1.a1', 'mobius_quo': None, 'mobius_sub': 14, 'normal_closure': '28.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '84.b1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908711
    {'ambient': '1344.1752', 'aut_centralizer_order': 1344, 'aut_label': '84.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.e1.a1', '28.c1.a1', '42.a1.a1', '42.f1.a1', '42.g1.a1'], 'contains': ['168.a1.a1', '168.e1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3513, -1, 5782, -1, 4706, -1, 4127, -1], 'generators': [3, 16], 'label': '1344.1752.84.c1.a1', 'mobius_quo': None, 'mobius_sub': 14, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '84.c1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.c1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908712
    {'ambient': '1344.1752', 'aut_centralizer_order': 576, 'aut_label': '84.d1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1.a1', '28.d1.a1', '42.b1.a1', '42.d1.a1', '42.f1.a1'], 'contains': ['168.a1.a1', '168.f1.a1', '168.i1.a1', '168.l1.a1', '168.l1.b1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [3307, -1, 5512, -1, 7043, -1, 6835, -1], 'generators': [11, 4, 16], 'label': '1344.1752.84.d1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '84.d1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908713
    {'ambient': '1344.1752', 'aut_centralizer_order': 576, 'aut_label': '84.e1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1.a1', '28.e1.a1', '42.b1.a1', '42.e1.a1', '42.g1.a1'], 'contains': ['168.a1.a1', '168.g1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [5094, -1, 4307, -1, 4845, -1, 3799, -1], 'generators': [9, 16], 'label': '1344.1752.84.e1.a1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '84.e1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908714
    {'ambient': '1344.1752', 'aut_centralizer_order': 384, 'aut_label': '84.f1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '8.5', 'aut_weyl_index': 8064, 'centralizer': '84.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1.a1', '28.f1.a1', '42.c1.a1', '42.d1.a1', '42.g1.a1'], 'contains': ['168.a1.a1', '168.m1.a1', '168.m1.b1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [1300, -1, 7581, -1, 8210, -1, 7480, -1], 'generators': [10, 16], 'label': '1344.1752.84.f1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '84.f1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.f1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908715
    {'ambient': '1344.1752', 'aut_centralizer_order': 384, 'aut_label': '84.g1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '8.5', 'aut_weyl_index': 8064, 'centralizer': '84.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.g1.a1', '28.g1.a1', '42.c1.a1', '42.e1.a1', '42.f1.a1'], 'contains': ['168.a1.a1', '168.j1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [2078, -1, 6236, -1, 7596, -1, 5589, -1], 'generators': [4, 8], 'label': '1344.1752.84.g1.a1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '84.g1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.g1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908716
    {'ambient': '1344.1752', 'aut_centralizer_order': 672, 'aut_label': '84.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 4032, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1.a1', '28.h1.a1', '42.a1.a1'], 'contains': ['168.b1.a1', '168.d1.a1', '168.e1.a1'], 'core': '168.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5665, -1, 2811, -1, 2559, -1, 2828, -1], 'generators': [1, 2], 'label': '1344.1752.84.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '84.h1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908717
    {'ambient': '1344.1752', 'aut_centralizer_order': 32, 'aut_label': '4.g1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 32, 'centralizer': '168.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'contains': ['8.a1.a1', '8.m1.a1', '12.g1.a1', '28.g1.a1'], 'core': '4.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2928, 4300, 5874, 5936, 7353, 5594, 5921, 4560], 'generators': [4, 192, 16, 32, 8, 448], 'label': '1344.1752.4.g1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1.a1', 'normal_contained_in': ['2.c1.a1', '2.e1.a1', '2.f1.a1'], 'normal_contains': ['8.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.g1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 71908718
    {'ambient': '1344.1752', 'aut_centralizer_order': 288, 'aut_label': '84.i1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '16.14', 'aut_weyl_index': 4032, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.i1.a1', '28.i1.a1', '42.b1.a1'], 'contains': ['168.b1.a1', '168.f1.a1', '168.g1.a1'], 'core': '168.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [8056, -1, 1506, -1, 3824, -1, 1236, -1], 'generators': [9, 2], 'label': '1344.1752.84.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '84.i1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.i1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908719
    {'ambient': '1344.1752', 'aut_centralizer_order': 672, 'aut_label': '84.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '16.14', 'aut_weyl_index': 4032, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.j1.a1', '28.j1.a1', '42.a1.a1'], 'contains': ['168.c1.a1', '168.d1.a1', '168.e1.a1'], 'core': '168.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5909, -1, 3177, -1, 2690, -1, 2940, -1], 'generators': [1, 18], 'label': '1344.1752.84.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '14.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '84.j1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.j1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908720
    {'ambient': '1344.1752', 'aut_centralizer_order': 288, 'aut_label': '84.k1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '16.14', 'aut_weyl_index': 4032, 'centralizer': '28.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.k1.a1', '28.k1.a1', '42.b1.a1'], 'contains': ['168.c1.a1', '168.f1.a1', '168.g1.a1'], 'core': '168.c1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [7817, -1, 1940, -1, 3955, -1, 2300, -1], 'generators': [9, 18], 'label': '1344.1752.84.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '84.k1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908721
    {'ambient': '1344.1752', 'aut_centralizer_order': 48, 'aut_label': '84.l1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.a1', '28.l1.a1', '42.d1.a1'], 'contains': ['168.k1.a1', '168.l1.a1', '168.m1.a1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [204, -1, 8015, -1, 8727, -1, 8384, -1], 'generators': [1, 10], 'label': '1344.1752.84.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '84.l1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.l1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 71908722
    {'ambient': '1344.1752', 'aut_centralizer_order': 48, 'aut_label': '84.l1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.b1', '28.l1.b1', '42.d1.a1'], 'contains': ['168.k1.a1', '168.l1.b1', '168.m1.b1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [204, -1, 8439, -1, 8727, -1, 9021, -1], 'generators': [1, 26], 'label': '1344.1752.84.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '84.l1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.l1.b1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 71908723
    {'ambient': '1344.1752', 'aut_centralizer_order': 48, 'aut_label': '84.l1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.c1', '28.l1.c1', '42.d1.a1'], 'contains': ['168.k1.b1', '168.l1.a1', '168.m1.b1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [204, -1, 9804, -1, 8727, -1, 8617, -1], 'generators': [17, 26], 'label': '1344.1752.84.l1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '84.l1.c1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.l1.c1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 71908724
    {'ambient': '1344.1752', 'aut_centralizer_order': 48, 'aut_label': '84.l1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '16.11', 'aut_weyl_index': 4032, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1.d1', '28.l1.d1', '42.d1.a1'], 'contains': ['168.k1.b1', '168.l1.b1', '168.m1.a1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [204, -1, 9000, -1, 8727, -1, 8907, -1], 'generators': [17, 10], 'label': '1344.1752.84.l1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '84.l1.d1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.l1.d1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 71908725
    {'ambient': '1344.1752', 'aut_centralizer_order': 10752, 'aut_label': '96.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 10752, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.b1.a1', '48.c1.a1', '48.d1.a1', '48.d1.b1', '48.e1.a1', '48.e1.b1'], 'contains': ['192.a1.a1', '672.a1.a1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4260, 7303, 5027, 5166, 5709, 6127, 5273, 4935], 'generators': [32, 192], 'label': '1344.1752.96.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1', '48.b1.a1', '48.c1.a1'], 'normal_contains': ['192.a1.a1', '672.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': '672.583', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.35', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908726
    {'ambient': '1344.1752', 'aut_centralizer_order': 10752, 'aut_label': '96.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 10752, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '48.a1.a1', '48.f1.a1', '48.g1.a1'], 'contains': ['192.a1.a1', '672.b1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9590, 1536, 424, 8276, 1950, 9190, 984, 5916], 'generators': [4, 192], 'label': '1344.1752.96.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.b1.a1', 'normal_contained_in': ['32.b1.a1', '48.a1.a1'], 'normal_contains': ['192.a1.a1', '672.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.b1.a1', 'projective_image': '672.451', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.34', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908727
    {'ambient': '1344.1752', 'aut_centralizer_order': 10752, 'aut_label': '96.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 10752, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '48.a1.a1', '48.h1.a1', '48.i1.a1'], 'contains': ['192.a1.a1', '672.c1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7456, 3595, 1866, 7636, 1468, 7998, 1758, 6651], 'generators': [36, 192], 'label': '1344.1752.96.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.c1.a1', 'normal_contained_in': ['32.c1.a1', '48.a1.a1'], 'normal_contains': ['192.a1.a1', '672.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.c1.a1', 'projective_image': '672.453', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.37', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908728
    {'ambient': '1344.1752', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '336.a1.a1', 'complements': ['336.h1.a1', '336.f1.a1', '336.g1.a1', '336.i1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1'], 'contains': ['8.d1.a1', '8.e1.a1', '8.f1.a1', '12.l1.a1', '28.l1.a1'], 'core': '4.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [362, 8647, 8526, 2190, 9457, 344, 7889, 298], 'generators': [1, 192, 20, 32, 10, 448], 'label': '1344.1752.4.h1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.h1.a1', 'normal_contained_in': ['2.d1.a1'], 'normal_contains': ['8.d1.a1', '8.e1.a1', '8.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.a1', 'projective_image': '672.583', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.h1.a1', 'subgroup_fusion': None, 'weyl_group': '336.157'}
  • id: 71908729
    {'ambient': '1344.1752', 'aut_centralizer_order': 32256, 'aut_label': '112.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '56.a1.a1', '56.b1.a1', '56.c1.a1', '56.e1.a1', '56.f1.a1', '56.g1.a1', '56.h1.a1'], 'contains': ['224.a1.a1', '224.b1.a1', '224.c1.a1', '336.a1.a1'], 'core': '112.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8538, 2612, 1008, 8861, 2539, 7685, 2422, 7744], 'generators': [4, 32, 448], 'label': '1344.1752.112.a1.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '112.a1.a1', 'normal_contained_in': ['16.a1.a1', '56.a1.a1', '56.b1.a1', '56.c1.a1'], 'normal_contains': ['224.a1.a1', '224.b1.a1', '224.c1.a1', '336.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.a1.a1', 'projective_image': '336.157', 'quotient_action_image': '2.1', 'quotient_action_kernel': '56.12', 'quotient_action_kernel_order': 56, 'quotient_fusion': None, 'short_label': '112.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908730
    {'ambient': '1344.1752', 'aut_centralizer_order': 16128, 'aut_label': '112.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '56.a1.a1', '56.i1.a1', '56.j1.a1', '56.k1.a1'], 'contains': ['224.a1.a1', '336.b1.a1'], 'core': '112.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4021, 4900, 5492, 6608, 6010, 4339, 5590, 5290], 'generators': [16, 448, 32], 'label': '1344.1752.112.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '112.b1.a1', 'normal_contained_in': ['16.b1.a1', '56.a1.a1'], 'normal_contains': ['224.a1.a1', '336.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.b1.a1', 'projective_image': '672.583', 'quotient_action_image': '4.2', 'quotient_action_kernel': '28.2', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '112.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908731
    {'ambient': '1344.1752', 'aut_centralizer_order': 16128, 'aut_label': '112.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '56.a1.a1', '56.d1.a1', '56.d1.b1', '56.l1.a1', '56.l1.b1', '56.m1.a1', '56.m1.b1'], 'contains': ['224.a1.a1', '336.c1.a1'], 'core': '112.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [986, 6925, 9062, 4592, 7337, 3493, 7916, 4188], 'generators': [20, 448, 32], 'label': '1344.1752.112.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '112.c1.a1', 'normal_contained_in': ['16.c1.a1', '56.a1.a1', '56.d1.a1', '56.d1.b1'], 'normal_contains': ['224.a1.a1', '336.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '112.c1.a1', 'projective_image': '672.583', 'quotient_action_image': '4.2', 'quotient_action_kernel': '28.2', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '112.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908732
    {'ambient': '1344.1752', 'aut_centralizer_order': 1344, 'aut_label': '112.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '12.4', 'aut_weyl_index': 5376, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '56.d1.a1', '56.e1.a1', '56.i1.a1'], 'contains': ['224.a1.a1', '336.d1.a1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2777, -1, 6670, -1, 5254, -1, 5033, -1], 'generators': [1, 32, 448], 'label': '1344.1752.112.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '112.d1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71908733
    {'ambient': '1344.1752', 'aut_centralizer_order': 1344, 'aut_label': '112.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '12.4', 'aut_weyl_index': 5376, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.d1.b1', '56.d1.b1', '56.e1.a1', '56.i1.a1'], 'contains': ['224.a1.a1', '336.d1.b1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2777, -1, 7053, -1, 5254, -1, 4823, -1], 'generators': [17, 32, 448], 'label': '1344.1752.112.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '112.d1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.d1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71908734
    {'ambient': '1344.1752', 'aut_centralizer_order': 576, 'aut_label': '112.e1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '28.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '56.g1.a1', '56.j1.a1', '56.l1.a1'], 'contains': ['224.a1.a1', '336.e1.a1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [4886, -1, 3858, -1, 6385, -1, 6250, -1], 'generators': [11, 448, 32], 'label': '1344.1752.112.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '112.e1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908735
    {'ambient': '1344.1752', 'aut_centralizer_order': 576, 'aut_label': '112.e1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '28.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1.b1', '56.g1.a1', '56.j1.a1', '56.l1.b1'], 'contains': ['224.a1.a1', '336.e1.b1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [4886, -1, 3977, -1, 6385, -1, 6362, -1], 'generators': [27, 448, 32], 'label': '1344.1752.112.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '112.e1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908736
    {'ambient': '1344.1752', 'aut_centralizer_order': 8064, 'aut_label': '112.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '56.b1.a1'], 'contains': ['224.b1.a1', '336.f1.a1'], 'core': '224.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9700, -1, 321, -1, 1762, -1, 1092, -1], 'generators': [2, 448, 4], 'label': '1344.1752.112.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '112.f1.a1', 'projective_image': '672.451', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908737
    {'ambient': '1344.1752', 'aut_centralizer_order': 576, 'aut_label': '112.g1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '28.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '56.h1.a1'], 'contains': ['224.b1.a1', '336.g1.a1'], 'core': '224.b1.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [9919, -1, 150, -1, 2027, -1, 704, -1], 'generators': [9, 448, 4], 'label': '1344.1752.112.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.k1.a1', 'old_label': '112.g1.a1', 'projective_image': '672.451', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71908738
    {'ambient': '1344.1752', 'aut_centralizer_order': 8064, 'aut_label': '112.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '56.c1.a1'], 'contains': ['224.c1.a1', '336.h1.a1'], 'core': '224.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9085, -1, 1161, -1, 1364, -1, 1838, -1], 'generators': [18, 448, 36], 'label': '1344.1752.112.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '112.h1.a1', 'projective_image': '672.453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.h1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71908739
    {'ambient': '1344.1752', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '336.a1.a1', 'complements': ['336.f1.a1', '336.h1.a1', '336.g1.a1', '336.i1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1'], 'contains': ['8.d1.a1', '8.e1.b1', '8.f1.b1', '12.l1.b1', '28.l1.b1'], 'core': '4.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [362, 8647, 8905, 1560, 9457, 344, 9003, 1642], 'generators': [1, 192, 52, 32, 26, 448], 'label': '1344.1752.4.h1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.h1.b1', 'normal_contained_in': ['2.d1.a1'], 'normal_contains': ['8.d1.a1', '8.e1.b1', '8.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.b1', 'projective_image': '672.583', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.h1.b1', 'subgroup_fusion': None, 'weyl_group': '336.157'}
  • id: 71908740
    {'ambient': '1344.1752', 'aut_centralizer_order': 1344, 'aut_label': '112.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '12.4', 'aut_weyl_index': 5376, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '56.f1.a1'], 'contains': ['224.c1.a1', '336.i1.a1'], 'core': '224.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7036, -1, 2247, -1, 920, -1, 2066, -1], 'generators': [3, 36, 448], 'label': '1344.1752.112.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.a1', 'old_label': '112.i1.a1', 'projective_image': '672.453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.i1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71908741
    {'ambient': '1344.1752', 'aut_centralizer_order': 32256, 'aut_label': '168.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1.a1', '56.a1.a1', '84.a1.a1', '84.b1.a1', '84.c1.a1', '84.d1.a1', '84.e1.a1', '84.f1.a1', '84.g1.a1'], 'contains': ['336.a1.a1', '336.b1.a1', '336.c1.a1'], 'core': '168.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3538, 6903, 5873, 5463, 5841, 5300, 5221, 5758], 'generators': [4, 16], 'label': '1344.1752.168.a1.a1', 'mobius_quo': 0, 'mobius_sub': -168, 'normal_closure': '168.a1.a1', 'normal_contained_in': ['24.a1.a1', '56.a1.a1', '84.a1.a1'], 'normal_contains': ['336.a1.a1', '336.b1.a1', '336.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '168.a1.a1', 'projective_image': '336.157', 'quotient_action_image': '2.1', 'quotient_action_kernel': '84.14', 'quotient_action_kernel_order': 84, 'quotient_fusion': None, 'short_label': '168.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908742
    {'ambient': '1344.1752', 'aut_centralizer_order': 16128, 'aut_label': '168.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1.a1', '56.b1.a1', '84.a1.a1', '84.h1.a1', '84.i1.a1'], 'contains': ['336.a1.a1', '336.f1.a1'], 'core': '168.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7355, 5472, 1620, 7292, 2991, 6378, 1411, 8879], 'generators': [2, 32], 'label': '1344.1752.168.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '168.b1.a1', 'normal_contained_in': ['24.b1.a1', '56.b1.a1', '84.a1.a1'], 'normal_contains': ['336.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '168.b1.a1', 'projective_image': '336.157', 'quotient_action_image': '2.1', 'quotient_action_kernel': '84.13', 'quotient_action_kernel_order': 84, 'quotient_fusion': None, 'short_label': '168.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908743
    {'ambient': '1344.1752', 'aut_centralizer_order': 16128, 'aut_label': '168.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.c1.a1', '56.c1.a1', '84.a1.a1', '84.j1.a1', '84.k1.a1'], 'contains': ['336.a1.a1', '336.h1.a1'], 'core': '168.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7076, 4042, 2527, 6611, 3196, 7031, 2596, 8312], 'generators': [18, 32], 'label': '1344.1752.168.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '168.c1.a1', 'normal_contained_in': ['24.c1.a1', '56.c1.a1', '84.a1.a1'], 'normal_contains': ['336.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '168.c1.a1', 'projective_image': '336.157', 'quotient_action_image': '2.1', 'quotient_action_kernel': '84.12', 'quotient_action_kernel_order': 84, 'quotient_fusion': None, 'short_label': '168.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908744
    {'ambient': '1344.1752', 'aut_centralizer_order': 2688, 'aut_label': '168.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.e1.a1', '56.e1.a1', '84.b1.a1', '84.h1.a1', '84.j1.a1'], 'contains': ['336.a1.a1', '336.d1.a1', '336.d1.b1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5583, -1, 3285, -1, 3400, -1, 3208, -1], 'generators': [1, 4], 'label': '1344.1752.168.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '168.d1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908745
    {'ambient': '1344.1752', 'aut_centralizer_order': 2688, 'aut_label': '168.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1.a1', '56.f1.a1', '84.c1.a1', '84.h1.a1', '84.j1.a1'], 'contains': ['336.a1.a1', '336.i1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6011, -1, 2800, -1, 2334, -1, 2771, -1], 'generators': [3, 32], 'label': '1344.1752.168.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '168.e1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908746
    {'ambient': '1344.1752', 'aut_centralizer_order': 1152, 'aut_label': '168.f1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '28.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.g1.a1', '56.g1.a1', '84.d1.a1', '84.i1.a1', '84.k1.a1'], 'contains': ['336.a1.a1', '336.e1.a1', '336.e1.b1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [7881, -1, 2071, -1, 4140, -1, 3798, -1], 'generators': [11, 4], 'label': '1344.1752.168.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '168.f1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908747
    {'ambient': '1344.1752', 'aut_centralizer_order': 1152, 'aut_label': '168.g1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '28.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.h1.a1', '56.h1.a1', '84.e1.a1', '84.i1.a1', '84.k1.a1'], 'contains': ['336.a1.a1', '336.g1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [8107, -1, 1332, -1, 3628, -1, 1236, -1], 'generators': [9, 32], 'label': '1344.1752.168.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '168.g1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908748
    {'ambient': '1344.1752', 'aut_centralizer_order': 1344, 'aut_label': '168.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 8064, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.i1.a1', '56.i1.a1', '84.b1.a1'], 'contains': ['336.b1.a1', '336.d1.a1', '336.d1.b1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2436, -1, 7026, -1, 5530, -1, 4928, -1], 'generators': [1, 16], 'label': '1344.1752.168.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '168.h1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.h1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908749
    {'ambient': '1344.1752', 'aut_centralizer_order': 576, 'aut_label': '168.i1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '8.3', 'aut_weyl_index': 8064, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1.a1', '56.j1.a1', '84.d1.a1'], 'contains': ['336.b1.a1', '336.e1.a1', '336.e1.b1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [4717, -1, 4359, -1, 6697, -1, 6480, -1], 'generators': [11, 16], 'label': '1344.1752.168.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '168.i1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.i1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908750
    {'ambient': '1344.1752', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '336.a1.a1', 'complements': ['336.f1.a1', '336.h1.a1', '336.g1.a1', '336.i1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1'], 'contains': ['8.d1.b1', '8.e1.a1', '8.f1.b1', '12.l1.c1', '28.l1.c1'], 'core': '4.h1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [362, 8647, 9645, 2818, 9457, 344, 8095, 2314], 'generators': [17, 192, 52, 32, 26, 448], 'label': '1344.1752.4.h1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.h1.c1', 'normal_contained_in': ['2.d1.a1'], 'normal_contains': ['8.d1.b1', '8.e1.a1', '8.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.c1', 'projective_image': '672.583', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.h1.c1', 'subgroup_fusion': None, 'weyl_group': '336.157'}
  • id: 71908751
    {'ambient': '1344.1752', 'aut_centralizer_order': 384, 'aut_label': '168.j1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '84.g1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.k1.a1', '56.k1.a1', '84.g1.a1'], 'contains': ['336.b1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [1912, -1, 6014, -1, 7748, -1, 5770, -1], 'generators': [8], 'label': '1344.1752.168.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.c1.a1', 'old_label': '168.j1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.j1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908752
    {'ambient': '1344.1752', 'aut_centralizer_order': 1344, 'aut_label': '168.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 8064, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.l1.a1', '56.d1.a1', '84.b1.a1', '84.l1.a1', '84.l1.b1'], 'contains': ['336.c1.a1', '336.d1.a1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [737, -1, 7658, -1, 7216, -1, 7721, -1], 'generators': [1, 20], 'label': '1344.1752.168.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '168.k1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.k1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908753
    {'ambient': '1344.1752', 'aut_centralizer_order': 1344, 'aut_label': '168.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '8.3', 'aut_weyl_index': 8064, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.l1.b1', '56.d1.b1', '84.b1.a1', '84.l1.c1', '84.l1.d1'], 'contains': ['336.c1.a1', '336.d1.b1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [737, -1, 9147, -1, 7216, -1, 7629, -1], 'generators': [17, 20], 'label': '1344.1752.168.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '168.k1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.k1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908754
    {'ambient': '1344.1752', 'aut_centralizer_order': 576, 'aut_label': '168.l1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '8.3', 'aut_weyl_index': 8064, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.a1', '56.l1.a1', '84.d1.a1', '84.l1.a1', '84.l1.c1'], 'contains': ['336.c1.a1', '336.e1.a1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [1365, -1, 8216, -1, 8061, -1, 7813, -1], 'generators': [11, 20], 'label': '1344.1752.168.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '168.l1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.l1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908755
    {'ambient': '1344.1752', 'aut_centralizer_order': 576, 'aut_label': '168.l1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '8.3', 'aut_weyl_index': 8064, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1.b1', '56.l1.b1', '84.d1.a1', '84.l1.b1', '84.l1.d1'], 'contains': ['336.c1.a1', '336.e1.b1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [1365, -1, 8497, -1, 8061, -1, 8018, -1], 'generators': [27, 20], 'label': '1344.1752.168.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '168.l1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.l1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908756
    {'ambient': '1344.1752', 'aut_centralizer_order': 384, 'aut_label': '168.m1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '84.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.m1.a1', '56.m1.a1', '84.f1.a1', '84.l1.a1', '84.l1.d1'], 'contains': ['336.c1.a1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [173, -1, 8116, -1, 8727, -1, 8238, -1], 'generators': [10], 'label': '1344.1752.168.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '168.m1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.m1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908757
    {'ambient': '1344.1752', 'aut_centralizer_order': 384, 'aut_label': '168.m1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '4.2', 'aut_weyl_index': 16128, 'centralizer': '84.f1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.m1.b1', '56.m1.b1', '84.f1.a1', '84.l1.b1', '84.l1.c1'], 'contains': ['336.c1.a1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [173, -1, 8874, -1, 8727, -1, 8559, -1], 'generators': [26], 'label': '1344.1752.168.m1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '168.m1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.m1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908758
    {'ambient': '1344.1752', 'aut_centralizer_order': 10752, 'aut_label': '192.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 10752, 'centralizer': '2.a1.a1', 'complements': ['7.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1'], 'contains': ['1344.a1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8130, 2394, 827, 8162, 1944, 8305, 1758, 6283], 'generators': [192], 'label': '1344.1752.192.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.a1.a1', 'normal_contained_in': ['64.a1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1'], 'normal_contains': ['1344.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.a1.a1', 'projective_image': '1344.1752', 'quotient_action_image': '2.1', 'quotient_action_kernel': '96.75', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '192.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908759
    {'ambient': '1344.1752', 'aut_centralizer_order': 32256, 'aut_label': '224.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '112.a1.a1', '112.b1.a1', '112.c1.a1', '112.d1.a1', '112.d1.b1', '112.e1.a1', '112.e1.b1'], 'contains': ['448.a1.a1', '672.a1.a1'], 'core': '224.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4610, 4631, 4856, 7889, 5588, 5743, 5375, 5277], 'generators': [32, 448], 'label': '1344.1752.224.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '224.a1.a1', 'normal_contained_in': ['32.a1.a1', '112.a1.a1', '112.b1.a1', '112.c1.a1'], 'normal_contains': ['448.a1.a1', '672.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '224.a1.a1', 'projective_image': '672.583', 'quotient_action_image': '2.1', 'quotient_action_kernel': '112.28', 'quotient_action_kernel_order': 112, 'quotient_fusion': None, 'short_label': '224.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908760
    {'ambient': '1344.1752', 'aut_centralizer_order': 32256, 'aut_label': '224.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '112.a1.a1', '112.f1.a1', '112.g1.a1'], 'contains': ['448.a1.a1', '672.b1.a1'], 'core': '224.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9740, 1078, 179, 9709, 1830, 8805, 1181, 6984], 'generators': [4, 448], 'label': '1344.1752.224.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '224.b1.a1', 'normal_contained_in': ['32.b1.a1', '112.a1.a1'], 'normal_contains': ['448.a1.a1', '672.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '224.b1.a1', 'projective_image': '672.451', 'quotient_action_image': '2.1', 'quotient_action_kernel': '112.30', 'quotient_action_kernel_order': 112, 'quotient_fusion': None, 'short_label': '224.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908761
    {'ambient': '1344.1752', 'aut_centralizer_order': 28, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 28, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.i1.a1', '4.k1.a1', '6.b1.a1', '14.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5486, 2211, 4168, 7147, 3870, 3002, 3844, 7928], 'generators': [1, 32, 16, 192, 2, 448, 4], 'label': '1344.1752.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '14.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.8'}
  • id: 71908762
    {'ambient': '1344.1752', 'aut_centralizer_order': 4, 'aut_label': '4.h1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 16, 'centralizer': '336.a1.a1', 'complements': ['336.h1.a1', '336.f1.a1', '336.g1.a1', '336.i1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1'], 'contains': ['8.d1.b1', '8.e1.b1', '8.f1.a1', '12.l1.d1', '28.l1.d1'], 'core': '4.h1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [362, 8647, 9204, 932, 9457, 344, 8442, 970], 'generators': [17, 192, 20, 32, 10, 448], 'label': '1344.1752.4.h1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.h1.d1', 'normal_contained_in': ['2.d1.a1'], 'normal_contains': ['8.d1.b1', '8.e1.b1', '8.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.h1.d1', 'projective_image': '672.583', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.h1.d1', 'subgroup_fusion': None, 'weyl_group': '336.157'}
  • id: 71908763
    {'ambient': '1344.1752', 'aut_centralizer_order': 32256, 'aut_label': '224.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '112.a1.a1', '112.h1.a1', '112.i1.a1'], 'contains': ['448.a1.a1', '672.c1.a1'], 'core': '224.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8827, 1817, 1034, 8967, 1348, 7613, 1860, 7285], 'generators': [36, 448], 'label': '1344.1752.224.c1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '224.c1.a1', 'normal_contained_in': ['32.c1.a1', '112.a1.a1'], 'normal_contains': ['448.a1.a1', '672.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '224.c1.a1', 'projective_image': '672.453', 'quotient_action_image': '2.1', 'quotient_action_kernel': '112.27', 'quotient_action_kernel_order': 112, 'quotient_fusion': None, 'short_label': '224.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908764
    {'ambient': '1344.1752', 'aut_centralizer_order': 64512, 'aut_label': '336.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 64512, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1.a1', '112.a1.a1', '168.a1.a1', '168.b1.a1', '168.c1.a1', '168.d1.a1', '168.e1.a1', '168.f1.a1', '168.g1.a1'], 'contains': ['672.a1.a1', '672.b1.a1', '672.c1.a1'], 'core': '336.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7296, 5003, 2168, 7030, 3093, 7103, 2509, 7606], 'generators': [4, 32], 'label': '1344.1752.336.a1.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '336.a1.a1', 'normal_contained_in': ['48.a1.a1', '112.a1.a1', '168.a1.a1', '168.b1.a1', '168.c1.a1'], 'normal_contains': ['672.a1.a1', '672.b1.a1', '672.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '336.a1.a1', 'projective_image': '336.157', 'quotient_action_image': '1.1', 'quotient_action_kernel': '336.157', 'quotient_action_kernel_order': 336, 'quotient_fusion': None, 'short_label': '336.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71908765
    {'ambient': '1344.1752', 'aut_centralizer_order': 32256, 'aut_label': '336.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.b1.a1', '112.b1.a1', '168.a1.a1', '168.h1.a1', '168.i1.a1', '168.j1.a1'], 'contains': ['672.a1.a1'], 'core': '336.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3679, 6639, 5844, 5608, 6010, 5041, 5478, 5578], 'generators': [16], 'label': '1344.1752.336.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '336.b1.a1', 'normal_contained_in': ['48.b1.a1', '112.b1.a1', '168.a1.a1'], 'normal_contains': ['672.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '336.b1.a1', 'projective_image': '672.583', 'quotient_action_image': '2.1', 'quotient_action_kernel': '168.35', 'quotient_action_kernel_order': 168, 'quotient_fusion': None, 'short_label': '336.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908766
    {'ambient': '1344.1752', 'aut_centralizer_order': 32256, 'aut_label': '336.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.c1.a1', '112.c1.a1', '168.a1.a1', '168.k1.a1', '168.k1.b1', '168.l1.a1', '168.l1.b1', '168.m1.a1', '168.m1.b1'], 'contains': ['672.a1.a1'], 'core': '336.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1098, 7291, 8333, 4686, 7337, 4175, 7767, 4393], 'generators': [20], 'label': '1344.1752.336.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '336.c1.a1', 'normal_contained_in': ['48.c1.a1', '112.c1.a1', '168.a1.a1'], 'normal_contains': ['672.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '336.c1.a1', 'projective_image': '672.583', 'quotient_action_image': '2.1', 'quotient_action_kernel': '168.35', 'quotient_action_kernel_order': 168, 'quotient_fusion': None, 'short_label': '336.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908767
    {'ambient': '1344.1752', 'aut_centralizer_order': 2688, 'aut_label': '336.d1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.d1.a1', '112.d1.a1', '168.d1.a1', '168.h1.a1', '168.k1.a1'], 'contains': ['672.a1.a1'], 'core': '672.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2630, -1, 6771, -1, 5445, -1, 5027, -1], 'generators': [1], 'label': '1344.1752.336.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '336.d1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908768
    {'ambient': '1344.1752', 'aut_centralizer_order': 2688, 'aut_label': '336.d1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.d1.b1', '112.d1.b1', '168.d1.a1', '168.h1.a1', '168.k1.b1'], 'contains': ['672.a1.a1'], 'core': '672.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2630, -1, 7102, -1, 5445, -1, 4876, -1], 'generators': [17], 'label': '1344.1752.336.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '336.d1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908769
    {'ambient': '1344.1752', 'aut_centralizer_order': 1152, 'aut_label': '336.e1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '28.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1.a1', '112.e1.a1', '168.f1.a1', '168.i1.a1', '168.l1.a1'], 'contains': ['672.a1.a1'], 'core': '672.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [4744, -1, 3945, -1, 6453, -1, 6133, -1], 'generators': [11], 'label': '1344.1752.336.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '336.e1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908770
    {'ambient': '1344.1752', 'aut_centralizer_order': 1152, 'aut_label': '336.e1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '28.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1.b1', '112.e1.b1', '168.f1.a1', '168.i1.a1', '168.l1.b1'], 'contains': ['672.a1.a1'], 'core': '672.a1.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [4744, -1, 4321, -1, 6453, -1, 6295, -1], 'generators': [27], 'label': '1344.1752.336.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.b1.a1', 'old_label': '336.e1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908771
    {'ambient': '1344.1752', 'aut_centralizer_order': 16128, 'aut_label': '336.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.f1.a1', '112.f1.a1', '168.b1.a1'], 'contains': ['672.b1.a1'], 'core': '672.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9476, -1, 538, -1, 2071, -1, 1089, -1], 'generators': [2], 'label': '1344.1752.336.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '168.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '336.f1.a1', 'projective_image': '672.451', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71908772
    {'ambient': '1344.1752', 'aut_centralizer_order': 1152, 'aut_label': '336.g1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '28.k1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.g1.a1', '112.g1.a1', '168.g1.a1'], 'contains': ['672.b1.a1'], 'core': '672.b1.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [9889, -1, 339, -1, 2179, -1, 770, -1], 'generators': [9], 'label': '1344.1752.336.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.k1.a1', 'old_label': '336.g1.a1', 'projective_image': '672.451', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.g1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71908773
    {'ambient': '1344.1752', 'aut_centralizer_order': 56, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '576.8679', 'aut_weyl_index': 112, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.b1.a1', '8.g1.a1', '8.h1.a1', '12.h1.a1', '28.h1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6444, -1, 2493, -1, 1078, -1, 1869, -1], 'generators': [1, 448, 192, 4, 2, 32], 'label': '1344.1752.4.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.i1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71908774
    {'ambient': '1344.1752', 'aut_centralizer_order': 16128, 'aut_label': '336.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.h1.a1', '112.h1.a1', '168.c1.a1'], 'contains': ['672.c1.a1'], 'core': '672.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7670, -1, 1636, -1, 1589, -1, 1952, -1], 'generators': [18], 'label': '1344.1752.336.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '168.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '336.h1.a1', 'projective_image': '672.453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.h1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71908775
    {'ambient': '1344.1752', 'aut_centralizer_order': 2688, 'aut_label': '336.i1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.i1.a1', '112.i1.a1', '168.e1.a1'], 'contains': ['672.c1.a1'], 'core': '672.c1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6668, -1, 2531, -1, 1161, -1, 2055, -1], 'generators': [3], 'label': '1344.1752.336.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '28.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.h1.a1', 'old_label': '336.i1.a1', 'projective_image': '672.453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71908776
    {'ambient': '1344.1752', 'aut_centralizer_order': 32256, 'aut_label': '448.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 32256, 'centralizer': '2.b1.a1', 'complements': ['3.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '224.a1.a1', '224.b1.a1', '224.c1.a1'], 'contains': ['1344.a1.a1'], 'core': '448.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8739, 1044, 836, 8967, 1830, 7959, 1855, 6634], 'generators': [448], 'label': '1344.1752.448.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '448.a1.a1', 'normal_contained_in': ['64.a1.a1', '224.a1.a1', '224.b1.a1', '224.c1.a1'], 'normal_contains': ['1344.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '448.a1.a1', 'projective_image': '1344.1752', 'quotient_action_image': '2.1', 'quotient_action_kernel': '224.63', 'quotient_action_kernel_order': 224, 'quotient_fusion': None, 'short_label': '448.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908777
    {'ambient': '1344.1752', 'aut_centralizer_order': 64512, 'aut_label': '672.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 64512, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.a1.a1', '224.a1.a1', '336.a1.a1', '336.b1.a1', '336.c1.a1', '336.d1.a1', '336.d1.b1', '336.e1.a1', '336.e1.b1'], 'contains': ['1344.a1.a1'], 'core': '672.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4564, 6164, 5010, 6268, 5649, 5935, 5324, 5428], 'generators': [32], 'label': '1344.1752.672.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '672.a1.a1', 'normal_contained_in': ['96.a1.a1', '224.a1.a1', '336.a1.a1', '336.b1.a1', '336.c1.a1'], 'normal_contains': ['1344.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '672.a1.a1', 'projective_image': '672.583', 'quotient_action_image': '1.1', 'quotient_action_kernel': '672.583', 'quotient_action_kernel_order': 672, 'quotient_fusion': None, 'short_label': '672.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71908778
    {'ambient': '1344.1752', 'aut_centralizer_order': 64512, 'aut_label': '672.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 64512, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.b1.a1', '224.b1.a1', '336.a1.a1', '336.f1.a1', '336.g1.a1'], 'contains': ['1344.a1.a1'], 'core': '672.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9534, 1874, 461, 8440, 2062, 8728, 1135, 6960], 'generators': [4], 'label': '1344.1752.672.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '672.b1.a1', 'normal_contained_in': ['96.b1.a1', '224.b1.a1', '336.a1.a1'], 'normal_contains': ['1344.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '672.b1.a1', 'projective_image': '672.451', 'quotient_action_image': '1.1', 'quotient_action_kernel': '672.451', 'quotient_action_kernel_order': 672, 'quotient_fusion': None, 'short_label': '672.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71908779
    {'ambient': '1344.1752', 'aut_centralizer_order': 64512, 'aut_label': '672.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 64512, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.c1.a1', '224.c1.a1', '336.a1.a1', '336.h1.a1', '336.i1.a1'], 'contains': ['1344.a1.a1'], 'core': '672.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7606, 3029, 1780, 7787, 1528, 7613, 1950, 7272], 'generators': [36], 'label': '1344.1752.672.c1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '672.c1.a1', 'normal_contained_in': ['96.c1.a1', '224.c1.a1', '336.a1.a1'], 'normal_contains': ['1344.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '672.c1.a1', 'projective_image': '672.453', 'quotient_action_image': '1.1', 'quotient_action_kernel': '672.453', 'quotient_action_kernel_order': 672, 'quotient_fusion': None, 'short_label': '672.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71908780
    {'ambient': '1344.1752', 'aut_centralizer_order': None, 'aut_label': '1344.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['192.a1.a1', '448.a1.a1', '672.a1.a1', '672.b1.a1', '672.c1.a1'], 'contains': [], 'core': '1344.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8130, 2394, 910, 8162, 1944, 7959, 1855, 6634], 'generators': [], 'label': '1344.1752.1344.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1344.a1.a1', 'normal_contained_in': ['192.a1.a1', '448.a1.a1', '672.a1.a1', '672.b1.a1', '672.c1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '1344.a1.a1', 'projective_image': '1344.1752', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1344.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71908781
    {'ambient': '1344.1752', 'aut_centralizer_order': 24, 'aut_label': '4.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1344.11704', 'aut_weyl_index': 48, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.b1.a1', '8.i1.a1', '8.j1.a1', '12.i1.a1', '28.i1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9018, -1, 1258, -1, 2423, -1, 579, -1], 'generators': [9, 192, 448, 4, 2, 32], 'label': '1344.1752.4.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.j1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.j1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71908782
    {'ambient': '1344.1752', 'aut_centralizer_order': 56, 'aut_label': '4.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '576.8679', 'aut_weyl_index': 112, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.g1.a1', '8.h1.a1', '12.j1.a1', '28.j1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6742, -1, 2749, -1, 1441, -1, 2280, -1], 'generators': [1, 448, 192, 36, 18, 32], 'label': '1344.1752.4.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.k1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.k1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71908783
    {'ambient': '1344.1752', 'aut_centralizer_order': 24, 'aut_label': '4.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1344.11704', 'aut_weyl_index': 48, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.c1.a1', '8.i1.a1', '8.j1.a1', '12.k1.a1', '28.k1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8259, -1, 1729, -1, 2812, -1, 1199, -1], 'generators': [9, 192, 448, 4, 18, 32], 'label': '1344.1752.4.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.l1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.l1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71908784
    {'ambient': '1344.1752', 'aut_centralizer_order': 24, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2688.ek', 'aut_weyl_index': 24, 'centralizer': '56.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '12.i1.a1', '12.k1.a1', '42.b1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5993, 9568, 3769, 4154, 4784, 7392, 3066, 7740], 'generators': [9, 192, 16, 4, 2, 32], 'label': '1344.1752.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '56.7'}
  • id: 71908785
    {'ambient': '1344.1752', 'aut_centralizer_order': 56, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '384.20154', 'aut_weyl_index': 168, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.d1.a1', '12.e1.a1', '12.h1.a1', '12.j1.a1', '42.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4305, -1, 4440, -1, 3995, -1, 3737, -1], 'generators': [1, 32, 16, 192, 2, 4], 'label': '1344.1752.6.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908786
    {'ambient': '1344.1752', 'aut_centralizer_order': 16, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1344.11704', 'aut_weyl_index': 48, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.f1.a1', '12.g1.a1', '42.c1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1387, -1, 6994, -1, 7923, -1, 6123, -1], 'generators': [2, 192, 4, 16, 8, 32], 'label': '1344.1752.6.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.c1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71908787
    {'ambient': '1344.1752', 'aut_centralizer_order': 8, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2688.ek', 'aut_weyl_index': 24, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.d1.a1', '12.f1.a1', '12.l1.a1', '12.l1.b1', '12.l1.c1', '12.l1.d1', '42.d1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [901, -1, 7881, -1, 8453, -1, 7413, -1], 'generators': [1, 192, 16, 20, 10, 32], 'label': '1344.1752.6.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.d1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1.a1', 'subgroup_fusion': None, 'weyl_group': '112.36'}
  • id: 71908788
    {'ambient': '1344.1752', 'aut_centralizer_order': 8, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2688.ek', 'aut_weyl_index': 24, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.d1.a1', '12.g1.a1', '42.e1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1891, -1, 6621, -1, 6186, -1, 4991, -1], 'generators': [1, 192, 20, 16, 8, 32], 'label': '1344.1752.6.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.e1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1.a1', 'subgroup_fusion': None, 'weyl_group': '112.36'}
  • id: 71908789
    {'ambient': '1344.1752', 'aut_centralizer_order': 12, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 12, 'centralizer': '56.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.a1', '4.e1.a1', '4.j1.a1', '4.l1.a1', '6.a1.a1', '14.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6534, 8961, 2564, 3448, 4659, 7555, 3173, 7018], 'generators': [9, 32, 16, 448, 2, 192, 4], 'label': '1344.1752.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.d1.a1', '4.e1.a1', '6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '56.7'}
  • id: 71908790
    {'ambient': '1344.1752', 'aut_centralizer_order': 8, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2688.ek', 'aut_weyl_index': 24, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1', '3.a1.a1'], 'contains': ['12.b1.a1', '12.e1.a1', '12.g1.a1', '42.f1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2134, -1, 6032, -1, 7114, -1, 5489, -1], 'generators': [3, 192, 36, 16, 8, 32], 'label': '1344.1752.6.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.f1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.f1.a1', 'subgroup_fusion': None, 'weyl_group': '112.36'}
  • id: 71908791
    {'ambient': '1344.1752', 'aut_centralizer_order': 8, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2688.ek', 'aut_weyl_index': 24, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1.a1', '3.a1.a1'], 'contains': ['12.c1.a1', '12.e1.a1', '12.f1.a1', '42.g1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3271, -1, 5680, -1, 5783, -1, 4381, -1], 'generators': [9, 192, 4, 48, 10, 32], 'label': '1344.1752.6.g1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.g1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.g1.a1', 'subgroup_fusion': None, 'weyl_group': '112.36'}
  • id: 71908792
    {'ambient': '1344.1752', 'aut_centralizer_order': 6, 'aut_label': '7.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '1536.408526564', 'aut_weyl_index': 42, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['14.a1.a1', '14.b1.a1', '14.c1.a1', '14.d1.a1', '14.e1.a1', '14.f1.a1', '14.g1.a1', '21.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [3449, -1, 5515, -1, 6185, -1, 5334, -1], 'generators': [1, 32, 16, 2, 448, 8, 4], 'label': '1344.1752.7.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '7.a1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.a1.a1', 'subgroup_fusion': None, 'weyl_group': '48.43'}
  • id: 71908793
    {'ambient': '1344.1752', 'aut_centralizer_order': 2688, 'aut_label': '8.a1', 'aut_quo_index': 168, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.g1.a1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '24.a1.a1', '56.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4511, 5489, 4818, 5295, 6019, 4541, 4814, 5206], 'generators': [4, 448, 192, 16, 32], 'label': '1344.1752.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.d1.a1', '4.e1.a1', '4.f1.a1', '4.g1.a1'], 'normal_contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '24.a1.a1', '56.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '336.157', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908794
    {'ambient': '1344.1752', 'aut_centralizer_order': 1344, 'aut_label': '8.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '48.52', 'aut_weyl_index': 1344, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.i1.a1', '4.j1.a1'], 'contains': ['16.a1.a1', '16.f1.a1', '24.b1.a1', '56.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8784, 2601, 1180, 8628, 402, 8267, 307, 8938], 'generators': [2, 448, 192, 32, 4], 'label': '1344.1752.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '24.b1.a1', '56.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '336.157', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908795
    {'ambient': '1344.1752', 'aut_centralizer_order': 1344, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '48.52', 'aut_weyl_index': 1344, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.k1.a1', '4.l1.a1'], 'contains': ['16.a1.a1', '16.h1.a1', '24.c1.a1', '56.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8121, 1667, 1698, 7889, 648, 9051, 882, 8257], 'generators': [18, 448, 192, 32, 36], 'label': '1344.1752.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '24.c1.a1', '56.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '336.157', 'quotient_action_image': '4.2', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908796
    {'ambient': '1344.1752', 'aut_centralizer_order': 112, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '288.992', 'aut_weyl_index': 224, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.h1.a1', '4.h1.b1'], 'contains': ['16.c1.a1', '16.d1.a1', '24.l1.a1', '56.d1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1126, 7565, 8600, 3240, 7396, 998, 7742, 2627], 'generators': [1, 192, 32, 20, 448], 'label': '1344.1752.8.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.b1.a1', '4.h1.b1', '4.h1.a1'], 'normal_contains': ['16.c1.a1', '56.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '24.8'}
  • id: 71908797
    {'ambient': '1344.1752', 'aut_centralizer_order': 112, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '288.992', 'aut_weyl_index': 224, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.h1.c1', '4.h1.d1'], 'contains': ['16.c1.a1', '16.d1.b1', '24.l1.b1', '56.d1.b1'], 'core': '8.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1126, 7565, 9487, 3893, 7396, 998, 7528, 3821], 'generators': [17, 192, 32, 20, 448], 'label': '1344.1752.8.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': ['4.b1.a1', '4.h1.d1', '4.h1.c1'], 'normal_contains': ['16.c1.a1', '56.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1.b1', 'subgroup_fusion': None, 'weyl_group': '24.8'}
  • id: 71908798
    {'ambient': '1344.1752', 'aut_centralizer_order': 48, 'aut_label': '8.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '56.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.h1.a1', '4.h1.c1'], 'contains': ['16.c1.a1', '16.e1.a1', '24.d1.a1', '56.l1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2000, 8767, 8372, 1658, 9350, 3175, 7314, 1930], 'generators': [11, 448, 32, 20, 192], 'label': '1344.1752.8.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': ['4.d1.a1', '4.h1.a1', '4.h1.c1'], 'normal_contains': ['16.c1.a1', '24.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '56.7'}
  • id: 71908799
    {'ambient': '1344.1752', 'aut_centralizer_order': 48, 'aut_label': '8.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '56.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.h1.b1', '4.h1.d1'], 'contains': ['16.c1.a1', '16.e1.b1', '24.d1.b1', '56.l1.b1'], 'core': '8.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2000, 8767, 9209, 1006, 9350, 3175, 8260, 1233], 'generators': [27, 448, 32, 20, 192], 'label': '1344.1752.8.e1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': ['4.d1.a1', '4.h1.b1', '4.h1.d1'], 'normal_contains': ['16.c1.a1', '24.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1.b1', 'subgroup_fusion': None, 'weyl_group': '56.7'}
  • id: 71908800
    {'ambient': '1344.1752', 'aut_centralizer_order': 8, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '168.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.f1.a1', '4.g1.a1', '6.c1.a1', '14.c1.a1'], 'core': '2.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1509, 3470, 6805, 6287, 7510, 6382, 6033, 4656], 'generators': [2, 448, 4, 16, 8, 192, 32], 'label': '1344.1752.2.c1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.f1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.c1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 71908801
    {'ambient': '1344.1752', 'aut_centralizer_order': 32, 'aut_label': '8.f1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 64, 'centralizer': '168.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.h1.a1', '4.h1.d1'], 'contains': ['16.c1.a1', '24.m1.a1', '56.m1.a1'], 'core': '8.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [223, 6530, 9015, 2217, 9924, 1685, 9173, 636], 'generators': [10, 32, 448, 52, 192], 'label': '1344.1752.8.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1.a1', 'normal_contained_in': ['4.f1.a1', '4.h1.a1', '4.h1.d1'], 'normal_contains': ['16.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.f1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 71908802
    {'ambient': '1344.1752', 'aut_centralizer_order': 32, 'aut_label': '8.f1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 64, 'centralizer': '168.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '4.h1.b1', '4.h1.c1'], 'contains': ['16.c1.a1', '24.m1.b1', '56.m1.b1'], 'core': '8.f1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [223, 6530, 9733, 2681, 9924, 1685, 9478, 3224], 'generators': [26, 32, 448, 20, 192], 'label': '1344.1752.8.f1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1.b1', 'normal_contained_in': ['4.f1.a1', '4.h1.b1', '4.h1.c1'], 'normal_contains': ['16.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.f1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1.b1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 71908803
    {'ambient': '1344.1752', 'aut_centralizer_order': 224, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '144.195', 'aut_weyl_index': 448, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.i1.a1', '4.k1.a1'], 'contains': ['16.a1.a1', '16.d1.a1', '16.d1.b1', '24.e1.a1', '56.e1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [6467, -1, 3159, -1, 2056, -1, 2537, -1], 'generators': [1, 192, 32, 4, 448], 'label': '1344.1752.8.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.g1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71908804
    {'ambient': '1344.1752', 'aut_centralizer_order': 224, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '144.195', 'aut_weyl_index': 448, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.i1.a1', '4.k1.a1'], 'contains': ['16.a1.a1', '16.i1.a1', '24.f1.a1', '56.f1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7024, -1, 2398, -1, 133, -1, 1533, -1], 'generators': [3, 192, 36, 32, 448], 'label': '1344.1752.8.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.h1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71908805
    {'ambient': '1344.1752', 'aut_centralizer_order': 96, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '336.216', 'aut_weyl_index': 192, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.j1.a1', '4.l1.a1'], 'contains': ['16.a1.a1', '16.e1.a1', '16.e1.b1', '24.g1.a1', '56.g1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8448, -1, 1474, -1, 3254, -1, 3904, -1], 'generators': [11, 448, 32, 4, 192], 'label': '1344.1752.8.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.i1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71908806
    {'ambient': '1344.1752', 'aut_centralizer_order': 96, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '336.216', 'aut_weyl_index': 192, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '4.j1.a1', '4.l1.a1'], 'contains': ['16.a1.a1', '16.g1.a1', '24.h1.a1', '56.h1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9111, -1, 862, -1, 1784, -1, 95, -1], 'generators': [9, 448, 4, 32, 192], 'label': '1344.1752.8.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.j1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71908807
    {'ambient': '1344.1752', 'aut_centralizer_order': 112, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '288.992', 'aut_weyl_index': 224, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.b1.a1', '16.d1.a1', '16.d1.b1', '24.i1.a1', '56.i1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2634, -1, 6384, -1, 5271, -1, 4603, -1], 'generators': [1, 192, 32, 16, 448], 'label': '1344.1752.8.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.k1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71908808
    {'ambient': '1344.1752', 'aut_centralizer_order': 48, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1'], 'contains': ['16.b1.a1', '16.e1.a1', '16.e1.b1', '24.j1.a1', '56.j1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5170, -1, 4199, -1, 6546, -1, 6497, -1], 'generators': [11, 448, 32, 16, 192], 'label': '1344.1752.8.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.l1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71908809
    {'ambient': '1344.1752', 'aut_centralizer_order': 32, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 64, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1'], 'contains': ['16.b1.a1', '24.k1.a1', '56.k1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2927, -1, 6035, -1, 8383, -1, 6314, -1], 'generators': [8, 32, 448, 16, 192], 'label': '1344.1752.8.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.c1.a1', 'old_label': '8.m1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1.a1', 'subgroup_fusion': None, 'weyl_group': '84.14'}
  • id: 71908810
    {'ambient': '1344.1752', 'aut_centralizer_order': 1344, 'aut_label': '12.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '48.52', 'aut_weyl_index': 1344, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.c1.a1'], 'contains': ['24.a1.a1', '24.b1.a1', '24.c1.a1', '84.a1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6233, 5907, 3776, 6753, 3748, 7483, 2767, 7577], 'generators': [2, 192, 4, 16, 32], 'label': '1344.1752.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '24.b1.a1', '24.c1.a1', '84.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '336.157', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908811
    {'ambient': '1344.1752', 'aut_centralizer_order': 4, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '336.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.d1.a1', '4.f1.a1', '4.h1.a1', '4.h1.b1', '4.h1.c1', '4.h1.d1', '6.d1.a1', '14.d1.a1'], 'core': '2.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1067, 7606, 7994, 2354, 8161, 1978, 7775, 2648], 'generators': [1, 448, 16, 20, 10, 192, 32], 'label': '1344.1752.2.d1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.d1.a1', '4.f1.a1', '4.h1.b1', '4.h1.a1', '4.h1.d1', '4.h1.c1'], 'normalizer': '1.a1.a1', 'old_label': '2.d1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1.a1', 'subgroup_fusion': None, 'weyl_group': '336.157'}
  • id: 71908812
    {'ambient': '1344.1752', 'aut_centralizer_order': 96, 'aut_label': '12.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '56.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.a1.a1', '6.d1.a1', '6.f1.a1'], 'contains': ['24.a1.a1', '24.d1.a1', '24.d1.b1', '24.g1.a1', '24.j1.a1', '84.d1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3981, 9568, 5179, 2248, 7004, 5334, 6711, 4518], 'generators': [11, 16, 32, 4, 192], 'label': '1344.1752.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.d1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '24.d1.b1', '24.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '56.7'}
  • id: 71908813
    {'ambient': '1344.1752', 'aut_centralizer_order': 96, 'aut_label': '12.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '56.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.a1.a1', '6.e1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.h1.a1', '84.e1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4662, 8533, 4522, 4428, 5055, 6022, 3331, 6492], 'generators': [9, 4, 32, 16, 192], 'label': '1344.1752.12.c1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.e1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '56.7'}
  • id: 71908814
    {'ambient': '1344.1752', 'aut_centralizer_order': 224, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '96.221', 'aut_weyl_index': 672, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.b1.a1', '6.d1.a1', '6.e1.a1'], 'contains': ['24.a1.a1', '24.e1.a1', '24.i1.a1', '24.l1.a1', '24.l1.b1', '84.b1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2124, -1, 7281, -1, 5772, -1, 5024, -1], 'generators': [1, 16, 192, 4, 32], 'label': '1344.1752.12.d1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.d1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908815
    {'ambient': '1344.1752', 'aut_centralizer_order': 224, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '96.221', 'aut_weyl_index': 672, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.b1.a1', '6.f1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.f1.a1', '84.c1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3462, -1, 5582, -1, 4382, -1, 4118, -1], 'generators': [3, 192, 36, 16, 32], 'label': '1344.1752.12.e1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.e1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908816
    {'ambient': '1344.1752', 'aut_centralizer_order': 64, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '336.216', 'aut_weyl_index': 192, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.c1.a1', '6.d1.a1', '6.g1.a1'], 'contains': ['24.a1.a1', '24.m1.a1', '24.m1.b1', '84.f1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [698, -1, 7507, -1, 9099, -1, 7100, -1], 'generators': [10, 52, 32, 16, 192], 'label': '1344.1752.12.f1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.f1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71908817
    {'ambient': '1344.1752', 'aut_centralizer_order': 64, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '336.216', 'aut_weyl_index': 192, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.c1.a1', '6.e1.a1', '6.f1.a1'], 'contains': ['24.a1.a1', '24.k1.a1', '84.g1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1638, -1, 6746, -1, 7898, -1, 5688, -1], 'generators': [4, 16, 32, 8, 192], 'label': '1344.1752.12.g1.a1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.g1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71908818
    {'ambient': '1344.1752', 'aut_centralizer_order': 112, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.231', 'aut_weyl_index': 672, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.i1.a1', '6.b1.a1'], 'contains': ['24.b1.a1', '24.e1.a1', '24.f1.a1', '84.h1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5702, -1, 2688, -1, 1285, -1, 1763, -1], 'generators': [1, 192, 4, 2, 32], 'label': '1344.1752.12.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.h1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908819
    {'ambient': '1344.1752', 'aut_centralizer_order': 48, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '672.1266', 'aut_weyl_index': 96, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1.a1', '6.a1.a1'], 'contains': ['24.b1.a1', '24.g1.a1', '24.h1.a1', '84.i1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8159, -1, 1585, -1, 2787, -1, 487, -1], 'generators': [9, 4, 32, 2, 192], 'label': '1344.1752.12.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.i1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71908820
    {'ambient': '1344.1752', 'aut_centralizer_order': 112, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '96.231', 'aut_weyl_index': 672, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.k1.a1', '6.b1.a1'], 'contains': ['24.c1.a1', '24.e1.a1', '24.f1.a1', '84.j1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5968, -1, 3048, -1, 1533, -1, 2188, -1], 'generators': [1, 192, 36, 18, 32], 'label': '1344.1752.12.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.j1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908821
    {'ambient': '1344.1752', 'aut_centralizer_order': 48, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '672.1266', 'aut_weyl_index': 96, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.l1.a1', '6.a1.a1'], 'contains': ['24.c1.a1', '24.g1.a1', '24.h1.a1', '84.k1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7671, -1, 1973, -1, 3003, -1, 1093, -1], 'generators': [9, 4, 32, 18, 192], 'label': '1344.1752.12.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '12.k1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71908822
    {'ambient': '1344.1752', 'aut_centralizer_order': 4, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '336.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.b1.a1', '4.e1.a1', '4.g1.a1', '6.e1.a1', '14.e1.a1'], 'core': '2.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3023, 6478, 6140, 4862, 5950, 5401, 4942, 5507], 'generators': [1, 448, 20, 16, 8, 192, 32], 'label': '1344.1752.2.e1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.b1.a1', '4.e1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.e1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.e1.a1', 'subgroup_fusion': None, 'weyl_group': '336.157'}
  • id: 71908823
    {'ambient': '1344.1752', 'aut_centralizer_order': 8, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.a1', '6.d1.a1'], 'contains': ['24.d1.a1', '24.l1.a1', '24.m1.a1', '84.l1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [182, -1, 7960, -1, 9745, -1, 7925, -1], 'generators': [1, 20, 32, 10, 192], 'label': '1344.1752.12.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.l1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.a1', 'subgroup_fusion': None, 'weyl_group': '112.36'}
  • id: 71908824
    {'ambient': '1344.1752', 'aut_centralizer_order': 8, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.b1', '6.d1.a1'], 'contains': ['24.d1.b1', '24.l1.a1', '24.m1.b1', '84.l1.b1'], 'core': '24.d1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [182, -1, 8360, -1, 9745, -1, 9021, -1], 'generators': [1, 52, 32, 26, 192], 'label': '1344.1752.12.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.l1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.b1', 'subgroup_fusion': None, 'weyl_group': '112.36'}
  • id: 71908825
    {'ambient': '1344.1752', 'aut_centralizer_order': 8, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.c1', '6.d1.a1'], 'contains': ['24.d1.a1', '24.l1.b1', '24.m1.b1', '84.l1.c1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [182, -1, 9583, -1, 9745, -1, 8077, -1], 'generators': [17, 52, 32, 26, 192], 'label': '1344.1752.12.l1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.l1.c1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.c1', 'subgroup_fusion': None, 'weyl_group': '112.36'}
  • id: 71908826
    {'ambient': '1344.1752', 'aut_centralizer_order': 8, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 96, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1.d1', '6.d1.a1'], 'contains': ['24.d1.b1', '24.l1.b1', '24.m1.a1', '84.l1.d1'], 'core': '24.d1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [182, -1, 8880, -1, 9745, -1, 8655, -1], 'generators': [17, 20, 32, 10, 192], 'label': '1344.1752.12.l1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.l1.d1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1.d1', 'subgroup_fusion': None, 'weyl_group': '112.36'}
  • id: 71908827
    {'ambient': '1344.1752', 'aut_centralizer_order': 168, 'aut_label': '14.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '384.20133', 'aut_weyl_index': 168, 'centralizer': '24.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.b1.a1', '28.c1.a1', '28.h1.a1', '28.j1.a1', '42.a1.a1'], 'core': '14.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5619, 1685, 3878, 6014, 3745, 2998, 3950, 9117], 'generators': [1, 448, 32, 2, 16, 4], 'label': '1344.1752.14.a1.a1', 'mobius_quo': 0, 'mobius_sub': 7, 'normal_closure': '14.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['28.a1.a1', '28.b1.a1', '28.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '14.a1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.a1.a1', 'subgroup_fusion': None, 'weyl_group': '24.8'}
  • id: 71908828
    {'ambient': '1344.1752', 'aut_centralizer_order': 72, 'aut_label': '14.b1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '128.2320', 'aut_weyl_index': 504, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.d1.a1', '28.e1.a1', '28.i1.a1', '28.k1.a1', '42.b1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [7109, -1, 2481, -1, 4534, -1, 3279, -1], 'generators': [9, 32, 4, 2, 16, 448], 'label': '1344.1752.14.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.b1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.b1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908829
    {'ambient': '1344.1752', 'aut_centralizer_order': 48, 'aut_label': '14.c1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '192.1542', 'aut_weyl_index': 336, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1.a1', '7.a1.a1'], 'contains': ['28.a1.a1', '28.f1.a1', '28.g1.a1', '42.c1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [1928, -1, 6451, -1, 7665, -1, 6342, -1], 'generators': [2, 448, 32, 8, 4, 16], 'label': '1344.1752.14.c1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.c1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.c1.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71908830
    {'ambient': '1344.1752', 'aut_centralizer_order': 24, 'aut_label': '14.d1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '384.20133', 'aut_weyl_index': 168, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1.a1', '7.a1.a1'], 'contains': ['28.b1.a1', '28.d1.a1', '28.f1.a1', '28.l1.a1', '28.l1.b1', '28.l1.c1', '28.l1.d1', '42.d1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [1411, -1, 8387, -1, 8161, -1, 8740, -1], 'generators': [1, 448, 32, 10, 16, 20], 'label': '1344.1752.14.d1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.d1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.d1.a1', 'subgroup_fusion': None, 'weyl_group': '48.43'}
  • id: 71908831
    {'ambient': '1344.1752', 'aut_centralizer_order': 24, 'aut_label': '14.e1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '384.20133', 'aut_weyl_index': 168, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1.a1', '7.a1.a1'], 'contains': ['28.b1.a1', '28.e1.a1', '28.g1.a1', '42.e1.a1'], 'core': '28.b1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [3242, -1, 5858, -1, 5962, -1, 5182, -1], 'generators': [1, 448, 32, 8, 20, 16], 'label': '1344.1752.14.e1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.e1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.e1.a1', 'subgroup_fusion': None, 'weyl_group': '48.43'}
  • id: 71908832
    {'ambient': '1344.1752', 'aut_centralizer_order': 24, 'aut_label': '14.f1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '384.20133', 'aut_weyl_index': 168, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.f1.a1', '7.a1.a1'], 'contains': ['28.c1.a1', '28.d1.a1', '28.g1.a1', '42.f1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [3604, -1, 5397, -1, 6887, -1, 5682, -1], 'generators': [3, 448, 32, 8, 36, 16], 'label': '1344.1752.14.f1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.f1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.f1.a1', 'subgroup_fusion': None, 'weyl_group': '48.43'}
  • id: 71908833
    {'ambient': '1344.1752', 'aut_centralizer_order': 4, 'aut_label': '2.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '336.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.d1.a1', '4.g1.a1', '6.f1.a1', '14.f1.a1'], 'core': '2.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3794, 4636, 5200, 5490, 6766, 4627, 5608, 3804], 'generators': [3, 448, 36, 16, 8, 192, 32], 'label': '1344.1752.2.f1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.f1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1', '4.d1.a1', '4.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.f1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.f1.a1', 'subgroup_fusion': None, 'weyl_group': '336.157'}
  • id: 71908834
    {'ambient': '1344.1752', 'aut_centralizer_order': 24, 'aut_label': '14.g1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '384.20133', 'aut_weyl_index': 168, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1.a1', '7.a1.a1'], 'contains': ['28.c1.a1', '28.e1.a1', '28.f1.a1', '42.g1.a1'], 'core': '28.c1.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [4468, -1, 4513, -1, 5593, -1, 4543, -1], 'generators': [9, 448, 32, 10, 4, 48], 'label': '1344.1752.14.g1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1.a1', 'old_label': '14.g1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.g1.a1', 'subgroup_fusion': None, 'weyl_group': '48.43'}
  • id: 71908835
    {'ambient': '1344.1752', 'aut_centralizer_order': 5376, 'aut_label': '16.a1', 'aut_quo_index': 16, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.g1.a1', '8.h1.a1', '8.i1.a1', '8.j1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '48.a1.a1', '112.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8603, 2446, 844, 8655, 1391, 9651, 1726, 6630], 'generators': [4, 448, 192, 32], 'label': '1344.1752.16.a1.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'normal_contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '48.a1.a1', '112.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '336.157', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908836
    {'ambient': '1344.1752', 'aut_centralizer_order': 2688, 'aut_label': '16.b1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.k1.a1', '8.l1.a1', '8.m1.a1'], 'contains': ['32.a1.a1', '48.b1.a1', '112.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4195, 6198, 4949, 6307, 6277, 4728, 5732, 4743], 'generators': [16, 192, 32, 448], 'label': '1344.1752.16.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.a1.a1'], 'normal_contains': ['32.a1.a1', '48.b1.a1', '112.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '672.583', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908837
    {'ambient': '1344.1752', 'aut_centralizer_order': 2688, 'aut_label': '16.c1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '8.e1.a1', '8.e1.b1', '8.f1.a1', '8.f1.b1'], 'contains': ['32.a1.a1', '48.c1.a1', '112.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [819, 7503, 9269, 3389, 7764, 3074, 7624, 3224], 'generators': [20, 192, 32, 448], 'label': '1344.1752.16.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.a1.a1', '8.d1.a1', '8.d1.b1', '8.e1.b1', '8.e1.a1', '8.f1.b1', '8.f1.a1'], 'normal_contains': ['32.a1.a1', '48.c1.a1', '112.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '672.583', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908838
    {'ambient': '1344.1752', 'aut_centralizer_order': 224, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '72.48', 'aut_weyl_index': 896, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.g1.a1', '8.k1.a1'], 'contains': ['32.a1.a1', '48.d1.a1', '112.d1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2583, -1, 6630, -1, 5040, -1, 4682, -1], 'generators': [1, 32, 448, 192], 'label': '1344.1752.16.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.d1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71908839
    {'ambient': '1344.1752', 'aut_centralizer_order': 224, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '72.48', 'aut_weyl_index': 896, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '8.g1.a1', '8.k1.a1'], 'contains': ['32.a1.a1', '48.d1.b1', '112.d1.b1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2583, -1, 6959, -1, 5040, -1, 4293, -1], 'generators': [17, 32, 448, 192], 'label': '1344.1752.16.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.d1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71908840
    {'ambient': '1344.1752', 'aut_centralizer_order': 96, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '168.47', 'aut_weyl_index': 384, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.i1.a1', '8.l1.a1'], 'contains': ['32.a1.a1', '48.e1.a1', '112.e1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5131, -1, 3723, -1, 6468, -1, 6132, -1], 'generators': [11, 32, 192, 448], 'label': '1344.1752.16.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.e1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71908841
    {'ambient': '1344.1752', 'aut_centralizer_order': 96, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '168.47', 'aut_weyl_index': 384, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '8.i1.a1', '8.l1.a1'], 'contains': ['32.a1.a1', '48.e1.b1', '112.e1.b1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5131, -1, 4259, -1, 6468, -1, 6346, -1], 'generators': [27, 32, 192, 448], 'label': '1344.1752.16.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.e1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1.b1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71908842
    {'ambient': '1344.1752', 'aut_centralizer_order': 1344, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1'], 'contains': ['32.b1.a1', '48.f1.a1', '112.f1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9541, -1, 287, -1, 455, -1, 281, -1], 'generators': [2, 192, 4, 448], 'label': '1344.1752.16.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.f1.a1', 'projective_image': '672.451', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908843
    {'ambient': '1344.1752', 'aut_centralizer_order': 96, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '168.47', 'aut_weyl_index': 384, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1'], 'contains': ['32.b1.a1', '48.g1.a1', '112.g1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9755, -1, 114, -1, 646, -1, 118, -1], 'generators': [9, 4, 192, 448], 'label': '1344.1752.16.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.l1.a1', 'old_label': '16.g1.a1', 'projective_image': '672.451', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1.a1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 71908844
    {'ambient': '1344.1752', 'aut_centralizer_order': 4, 'aut_label': '2.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '336.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.c1.a1', '4.e1.a1', '4.f1.a1', '6.g1.a1', '14.g1.a1'], 'core': '2.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4339, 5557, 4889, 4232, 5650, 3853, 4462, 6179], 'generators': [9, 448, 4, 48, 10, 192, 32], 'label': '1344.1752.2.g1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.g1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.c1.a1', '4.e1.a1', '4.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.g1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.g1.a1', 'subgroup_fusion': None, 'weyl_group': '336.157'}
  • id: 71908845
    {'ambient': '1344.1752', 'aut_centralizer_order': 1344, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '4.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1'], 'contains': ['32.c1.a1', '48.h1.a1', '112.h1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8868, -1, 1015, -1, 322, -1, 1352, -1], 'generators': [18, 192, 36, 448], 'label': '1344.1752.16.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '16.h1.a1', 'projective_image': '672.453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908846
    {'ambient': '1344.1752', 'aut_centralizer_order': 224, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '72.48', 'aut_weyl_index': 896, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1'], 'contains': ['32.c1.a1', '48.i1.a1', '112.i1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7417, -1, 1188, -1, 131, -1, 1514, -1], 'generators': [3, 36, 448, 192], 'label': '1344.1752.16.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.i1.a1', 'old_label': '16.i1.a1', 'projective_image': '672.453', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1.a1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71908847
    {'ambient': '1344.1752', 'aut_centralizer_order': 12, 'aut_label': '21.a1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '256.56083', 'aut_weyl_index': 252, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1.a1', '7.a1.a1'], 'contains': ['42.a1.a1', '42.b1.a1', '42.c1.a1', '42.d1.a1', '42.e1.a1', '42.f1.a1', '42.g1.a1'], 'core': '84.a1.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [1730, -1, 6315, -1, 6411, -1, 5334, -1], 'generators': [1, 2, 8], 'label': '1344.1752.21.a1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1.a1', 'old_label': '21.a1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21.a1.a1', 'subgroup_fusion': None, 'weyl_group': '16.11'}
  • id: 71908848
    {'ambient': '1344.1752', 'aut_centralizer_order': 5376, 'aut_label': '24.a1', 'aut_quo_index': 24, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 5376, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1', '12.d1.a1', '12.e1.a1', '12.f1.a1', '12.g1.a1'], 'contains': ['48.a1.a1', '48.b1.a1', '48.c1.a1', '168.a1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3767, 8441, 5334, 4502, 6087, 5334, 5013, 5269], 'generators': [4, 192, 32, 16], 'label': '1344.1752.24.a1.a1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normal_contains': ['48.a1.a1', '48.b1.a1', '48.c1.a1', '168.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '336.157', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908849
    {'ambient': '1344.1752', 'aut_centralizer_order': 2688, 'aut_label': '24.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1', '12.h1.a1', '12.i1.a1'], 'contains': ['48.a1.a1', '48.f1.a1', '168.b1.a1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7599, 5839, 1794, 7838, 2128, 8084, 864, 7990], 'generators': [2, 192, 4, 32], 'label': '1344.1752.24.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '168.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '336.157', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.4', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908850
    {'ambient': '1344.1752', 'aut_centralizer_order': 2688, 'aut_label': '24.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.a1.a1', '12.j1.a1', '12.k1.a1'], 'contains': ['48.a1.a1', '48.h1.a1', '168.c1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7090, 4905, 2346, 6901, 2373, 8868, 1934, 7310], 'generators': [18, 192, 36, 32], 'label': '1344.1752.24.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1.a1', 'normal_contained_in': ['8.c1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '168.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.a1', 'projective_image': '336.157', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908851
    {'ambient': '1344.1752', 'aut_centralizer_order': 96, 'aut_label': '24.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '336.125', 'aut_weyl_index': 192, 'centralizer': '56.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.b1.a1', '12.l1.a1', '12.l1.c1'], 'contains': ['48.c1.a1', '48.e1.a1', '168.l1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [841, 9391, 8095, 2796, 8590, 3507, 6982, 3600], 'generators': [11, 32, 192, 20], 'label': '1344.1752.24.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': ['8.e1.a1', '12.b1.a1'], 'normal_contains': ['48.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.d1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.a1', 'subgroup_fusion': None, 'weyl_group': '56.7'}
  • id: 71908852
    {'ambient': '1344.1752', 'aut_centralizer_order': 96, 'aut_label': '24.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '336.125', 'aut_weyl_index': 192, 'centralizer': '56.c1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '12.b1.a1', '12.l1.b1', '12.l1.d1'], 'contains': ['48.c1.a1', '48.e1.b1', '168.l1.b1'], 'core': '24.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [841, 9391, 8663, 2201, 8590, 3507, 7739, 2848], 'generators': [27, 32, 192, 20], 'label': '1344.1752.24.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': ['8.e1.b1', '12.b1.a1'], 'normal_contains': ['48.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.d1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1.b1', 'subgroup_fusion': None, 'weyl_group': '56.7'}
  • id: 71908853
    {'ambient': '1344.1752', 'aut_centralizer_order': 448, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '12.d1.a1', '12.h1.a1', '12.j1.a1'], 'contains': ['48.a1.a1', '48.d1.a1', '48.d1.b1', '168.d1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5706, -1, 3361, -1, 3134, -1, 3103, -1], 'generators': [1, 192, 32, 4], 'label': '1344.1752.24.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.e1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908854
    {'ambient': '1344.1752', 'aut_centralizer_order': 448, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '24.15', 'aut_weyl_index': 2688, 'centralizer': '12.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '12.e1.a1', '12.h1.a1', '12.j1.a1'], 'contains': ['48.a1.a1', '48.i1.a1', '168.e1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6030, -1, 2983, -1, 1146, -1, 2458, -1], 'generators': [3, 192, 36, 32], 'label': '1344.1752.24.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.f1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71908855
    {'ambient': '1344.1752', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '336.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.c1.a1', '6.d1.a1', '6.e1.a1', '6.f1.a1', '6.g1.a1', '21.a1.a1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1891, -1, 6425, -1, 6411, -1, 5142, -1], 'generators': [1, 32, 8, 4, 2, 192, 16], 'label': '1344.1752.3.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '112.36'}
  • id: 71908856
    {'ambient': '1344.1752', 'aut_centralizer_order': 192, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '168.47', 'aut_weyl_index': 384, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '12.b1.a1', '12.i1.a1', '12.k1.a1'], 'contains': ['48.a1.a1', '48.e1.a1', '48.e1.b1', '168.f1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8048, -1, 2018, -1, 4388, -1, 3632, -1], 'generators': [11, 32, 192, 4], 'label': '1344.1752.24.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.g1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71908857
    {'ambient': '1344.1752', 'aut_centralizer_order': 192, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '168.47', 'aut_weyl_index': 384, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '12.c1.a1', '12.i1.a1', '12.k1.a1'], 'contains': ['48.a1.a1', '48.g1.a1', '168.g1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8377, -1, 1363, -1, 3628, -1, 444, -1], 'generators': [9, 4, 192, 32], 'label': '1344.1752.24.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.h1.a1', 'projective_image': '336.157', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71908858
    {'ambient': '1344.1752', 'aut_centralizer_order': 224, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.45', 'aut_weyl_index': 1344, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '12.d1.a1'], 'contains': ['48.b1.a1', '48.d1.a1', '48.d1.b1', '168.h1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2214, -1, 7388, -1, 5409, -1, 4488, -1], 'generators': [1, 192, 32, 16], 'label': '1344.1752.24.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.i1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71908859
    {'ambient': '1344.1752', 'aut_centralizer_order': 96, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '336.125', 'aut_weyl_index': 192, 'centralizer': '56.c1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '12.b1.a1'], 'contains': ['48.b1.a1', '48.e1.a1', '48.e1.b1', '168.i1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4520, -1, 4466, -1, 6870, -1, 6512, -1], 'generators': [11, 32, 192, 16], 'label': '1344.1752.24.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '24.j1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71908860
    {'ambient': '1344.1752', 'aut_centralizer_order': 64, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '168.47', 'aut_weyl_index': 384, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '12.g1.a1'], 'contains': ['48.b1.a1', '168.j1.a1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1968, -1, 6542, -1, 8039, -1, 5848, -1], 'generators': [8, 32, 192, 16], 'label': '1344.1752.24.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.c1.a1', 'old_label': '24.k1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1.a1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71908861
    {'ambient': '1344.1752', 'aut_centralizer_order': 224, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.45', 'aut_weyl_index': 1344, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.d1.a1', '12.l1.a1', '12.l1.b1'], 'contains': ['48.c1.a1', '48.d1.a1', '168.k1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [534, -1, 7938, -1, 7390, -1, 7305, -1], 'generators': [1, 192, 32, 20], 'label': '1344.1752.24.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.l1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908862
    {'ambient': '1344.1752', 'aut_centralizer_order': 224, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '48.45', 'aut_weyl_index': 1344, 'centralizer': '24.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '12.d1.a1', '12.l1.c1', '12.l1.d1'], 'contains': ['48.c1.a1', '48.d1.b1', '168.k1.b1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [534, -1, 9419, -1, 7390, -1, 7129, -1], 'generators': [17, 192, 32, 20], 'label': '1344.1752.24.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.l1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71908863
    {'ambient': '1344.1752', 'aut_centralizer_order': 64, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '168.47', 'aut_weyl_index': 384, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.f1.a1', '12.l1.a1', '12.l1.d1'], 'contains': ['48.c1.a1', '168.m1.a1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [81, -1, 8435, -1, 9099, -1, 8092, -1], 'generators': [10, 32, 192, 52], 'label': '1344.1752.24.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.m1.a1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71908864
    {'ambient': '1344.1752', 'aut_centralizer_order': 64, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '168.47', 'aut_weyl_index': 384, 'centralizer': '168.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1.b1', '12.f1.a1', '12.l1.b1', '12.l1.c1'], 'contains': ['48.c1.a1', '168.m1.b1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [81, -1, 9262, -1, 9099, -1, 8501, -1], 'generators': [26, 32, 192, 20], 'label': '1344.1752.24.m1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '24.m1.b1', 'projective_image': '672.583', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1.b1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71908865
    {'ambient': '1344.1752', 'aut_centralizer_order': 4032, 'aut_label': '28.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 4032, 'centralizer': '4.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '14.a1.a1', '14.b1.a1', '14.c1.a1'], 'contains': ['56.a1.a1', '56.b1.a1', '56.c1.a1', '84.a1.a1'], 'core': '28.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7090, 1971, 2684, 7049, 3503, 6699, 2975, 9618], 'generators': [2, 32, 16, 448, 4], 'label': '1344.1752.28.a1.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.a1.a1', 'normal_contained_in': ['4.a1.a1', '14.a1.a1'], 'normal_contains': ['56.a1.a1', '56.b1.a1', '56.c1.a1', '84.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '28.a1.a1', 'projective_image': '336.157', 'quotient_action_image': '4.2', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.a1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}