- 
              gps_groups •   Show schema
  Hide schema
   
        
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '32.36', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 24, 'aut_gen_orders': [6, 6, 8, 8, 8, 6, 12, 6], 'aut_gens': [[1, 2, 24], [489, 210, 560], [397, 106, 88], [503, 118, 556], [109, 214, 416], [99, 486, 136], [303, 14, 40], [211, 310, 176], [105, 98, 132]], 'aut_group': None, 'aut_hash': 8147501481135251902, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 110592, 'aut_permdeg': 80, 'aut_perms': [12582188009021469408441484559047530498268929912291735982403282171012134239856442240641464357467363649089395240051725862, 14480535509174558786259464681989386159352169187055848032831856662680161043449705126633382338716006094381383368700862805, 51150796184210676293534737077147273451261358487370666137826737631036047904742710880370200021245328811877872317017797481, 42362634865118840532910339893032270587647672695898205070601629302162561869452592956324874575685003202962263488486080489, 6674441615190349476388619293107870062443024163991275610681874550179061332025176836579166743835771249051962723520025749, 70420702090368266001104008622389932538351968145080097275064267017971968912463046393375351348316707181077768217380196717, 12146318138082373436666393563986837932416011253374895183615918773593967224825807057193883107289454218618700496809563001, 34683504250295403233212117058517799401930849140565876764105286363236911305082917868776401222477699348568010986098077971], 'aut_phi_ratio': 576.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 18, 4, 1], [3, 2, 4, 1], [4, 1, 2, 2], [4, 2, 2, 2], [4, 18, 4, 1], [6, 2, 4, 3], [8, 1, 8, 1], [8, 2, 4, 1], [8, 18, 8, 1], [12, 2, 8, 2], [12, 2, 16, 2], [24, 2, 32, 2]], 'aut_supersolvable': False, 'aut_tex': '\\ASL(2,3).C_2^6.C_2^3', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '128.2328', 'autcent_hash': 2328, 'autcent_nilpotent': True, 'autcent_order': 128, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^7', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '864.4661', 'autcentquo_hash': 4661, 'autcentquo_nilpotent': False, 'autcentquo_order': 864, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_2\\times C_3^2:\\GL(2,3)', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 18, 4], [3, 2, 4], [4, 1, 4], [4, 2, 4], [4, 18, 4], [6, 2, 12], [8, 1, 8], [8, 2, 4], [8, 18, 8], [12, 2, 48], [24, 2, 64]], 'center_label': '16.5', 'center_order': 16, 'central_product': True, 'central_quotient': '36.13', 'commutator_count': 1, 'commutator_label': '18.5', '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', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 4267, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['72.33', 1], ['8.1', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 18, 1, 4], [3, 2, 1, 4], [4, 1, 2, 2], [4, 2, 1, 2], [4, 2, 2, 1], [4, 18, 2, 2], [6, 2, 1, 12], [8, 1, 4, 2], [8, 2, 4, 1], [8, 18, 4, 2], [12, 2, 2, 16], [12, 2, 4, 4], [24, 2, 4, 8], [24, 2, 8, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 336, 'exponent': 24, 'exponents_of_order': [6, 2], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.2', 'frattini_quotient': '72.49', 'hash': 4267, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 6, 'inner_gen_orders': [2, 6, 3], 'inner_gens': [[1, 22, 408], [5, 2, 24], [193, 2, 24]], 'inner_hash': 13, 'inner_nilpotent': False, 'inner_order': 36, 'inner_split': True, 'inner_tex': 'C_6:S_3', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 32], [2, 136]], 'label': '576.4267', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C24:D12', '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 23, 'number_characteristic_subgroups': 33, 'number_conjugacy_classes': 168, 'number_divisions': 68, 'number_normal_subgroups': 135, 'number_subgroup_autclasses': 120, 'number_subgroup_classes': 402, 'number_subgroups': 1606, 'old_label': None, 'order': 576, 'order_factorization_type': 32, 'order_stats': [[1, 1], [2, 75], [3, 8], [4, 84], [6, 24], [8, 160], [12, 96], [24, 128]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 24, 'outer_gen_orders': [8, 4, 8, 2, 2, 6, 8], 'outer_gen_pows': [0, 0, 0, 0, 0, 6, 0], 'outer_gens': [[295, 206, 88], [7, 402, 232], [289, 494, 464], [1, 194, 420], [1, 298, 180], [7, 394, 376], [7, 486, 124]], 'outer_group': None, 'outer_hash': 7194723174082110803, 'outer_nilpotent': False, 'outer_order': 3072, 'outer_permdeg': 18, 'outer_perms': [357001416592985, 357001416592582, 356995102855673, 1110221765492825, 1110221805386286, 6354415031, 1110221852941441], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'Q_8.(S_3\\times D_4).C_2^3', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 18, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 8], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 22], [4, 21], [8, 13], [16, 4]], 'representations': {'PC': {'code': 20438254149424037047613603052066190064088593, 'gens': [1, 2, 5], 'pres': [8, -2, -2, -2, -3, -2, -2, -2, -3, 353, 41, 482, 66, 515, 16324, 116, 11525, 141, 26886, 166, 24583]}, 'GLZN': {'d': 2, 'p': 66, 'gens': [6612431, 433456, 12470437, 3911542, 2419376, 12362371, 8728228, 482087]}, 'Perm': {'d': 18, 'gens': [357001416581065, 712682530560000, 1110229521009840, 20761458480, 1110215538432000, 6314117040, 144, 3]}}, 'schur_multiplier': [2, 2, 6], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 8], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{24}:D_{12}', 'transitive_degree': 288, 'wreath_data': None, 'wreath_product': False}
           
      - 
              gps_conj_classes •   Show schema
  Hide schema
   
        
                      - 
              id: 139103824
              
{'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 4267, 'group_order': 576, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
             
                      - 
              id: 139103904
              
{'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 4267, 'group_order': 576, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 288, 'size': 1}
             
                      - 
              id: 139103915
              
{'aut_label': '2B', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 4267, 'group_order': 576, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 12, 'size': 1}
             
                      - 
              id: 139103926
              
{'aut_label': '2C', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 4267, 'group_order': 576, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 300, 'size': 1}
             
                      - 
              id: 139103937
              
{'aut_label': '2D', 'centralizer': '18.b1', 'counter': 5, 'group_counter': 4267, 'group_order': 576, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 1, 'size': 18}
             
                      - 
              id: 139103948
              
{'aut_label': '2D', 'centralizer': '18.b1', 'counter': 6, 'group_counter': 4267, 'group_order': 576, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 97, 'size': 18}
             
                      - 
              id: 139103959
              
{'aut_label': '2D', 'centralizer': '18.b1', 'counter': 7, 'group_counter': 4267, 'group_order': 576, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 3, 'size': 18}
             
                      - 
              id: 139103970
              
{'aut_label': '2D', 'centralizer': '18.b1', 'counter': 8, 'group_counter': 4267, 'group_order': 576, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 99, 'size': 18}
             
                      - 
              id: 139103981
              
{'aut_label': '3A', 'centralizer': '2.d1', 'counter': 9, 'group_counter': 4267, 'group_order': 576, 'label': '3A', 'order': 3, 'powers': [9, 1], 'representative': 8, 'size': 2}
             
                      - 
              id: 139103825
              
{'aut_label': '3A', 'centralizer': '2.d1', 'counter': 10, 'group_counter': 4267, 'group_order': 576, 'label': '3B', 'order': 3, 'powers': [10, 1], 'representative': 200, 'size': 2}
             
                      - 
              id: 139103836
              
{'aut_label': '3A', 'centralizer': '2.d1', 'counter': 11, 'group_counter': 4267, 'group_order': 576, 'label': '3C', 'order': 3, 'powers': [11, 1], 'representative': 392, 'size': 2}
             
                      - 
              id: 139103847
              
{'aut_label': '3A', 'centralizer': '2.d1', 'counter': 12, 'group_counter': 4267, 'group_order': 576, 'label': '3D', 'order': 3, 'powers': [12, 1], 'representative': 192, 'size': 2}
             
                      - 
              id: 139103858
              
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 13, 'group_counter': 4267, 'group_order': 576, 'label': '4A1', 'order': 4, 'powers': [2, 14], 'representative': 432, 'size': 1}
             
                      - 
              id: 139103869
              
{'aut_label': '4A1', 'centralizer': '1.a1', 'counter': 14, 'group_counter': 4267, 'group_order': 576, 'label': '4A-1', 'order': 4, 'powers': [2, 13], 'representative': 144, 'size': 1}
             
                      - 
              id: 139103880
              
{'aut_label': '4B1', 'centralizer': '1.a1', 'counter': 15, 'group_counter': 4267, 'group_order': 576, 'label': '4B1', 'order': 4, 'powers': [2, 16], 'representative': 156, 'size': 1}
             
                      - 
              id: 139103891
              
{'aut_label': '4B1', 'centralizer': '1.a1', 'counter': 16, 'group_counter': 4267, 'group_order': 576, 'label': '4B-1', 'order': 4, 'powers': [2, 15], 'representative': 444, 'size': 1}
             
                      - 
              id: 139103901
              
{'aut_label': '4C', 'centralizer': '2.d1', 'counter': 17, 'group_counter': 4267, 'group_order': 576, 'label': '4C', 'order': 4, 'powers': [3, 17], 'representative': 6, 'size': 2}
             
                      - 
              id: 139103902
              
{'aut_label': '4C', 'centralizer': '2.d1', 'counter': 18, 'group_counter': 4267, 'group_order': 576, 'label': '4D', 'order': 4, 'powers': [3, 18], 'representative': 294, 'size': 2}
             
                      - 
              id: 139103903
              
{'aut_label': '4E1', 'centralizer': '2.d1', 'counter': 19, 'group_counter': 4267, 'group_order': 576, 'label': '4E1', 'order': 4, 'powers': [4, 20], 'representative': 150, 'size': 2}
             
                      - 
              id: 139103905
              
{'aut_label': '4E1', 'centralizer': '2.d1', 'counter': 20, 'group_counter': 4267, 'group_order': 576, 'label': '4E-1', 'order': 4, 'powers': [4, 19], 'representative': 450, 'size': 2}
             
                      - 
              id: 139103906
              
{'aut_label': '4F1', 'centralizer': '18.b1', 'counter': 21, 'group_counter': 4267, 'group_order': 576, 'label': '4F1', 'order': 4, 'powers': [2, 22], 'representative': 49, 'size': 18}
             
                      - 
              id: 139103907
              
{'aut_label': '4F1', 'centralizer': '18.b1', 'counter': 22, 'group_counter': 4267, 'group_order': 576, 'label': '4F-1', 'order': 4, 'powers': [2, 21], 'representative': 145, 'size': 18}
             
                      - 
              id: 139103908
              
{'aut_label': '4F1', 'centralizer': '18.b1', 'counter': 23, 'group_counter': 4267, 'group_order': 576, 'label': '4G1', 'order': 4, 'powers': [2, 24], 'representative': 51, 'size': 18}
             
                      - 
              id: 139103909
              
{'aut_label': '4F1', 'centralizer': '18.b1', 'counter': 24, 'group_counter': 4267, 'group_order': 576, 'label': '4G-1', 'order': 4, 'powers': [2, 23], 'representative': 147, 'size': 18}
             
                      - 
              id: 139103910
              
{'aut_label': '6A', 'centralizer': '2.d1', 'counter': 25, 'group_counter': 4267, 'group_order': 576, 'label': '6A', 'order': 6, 'powers': [9, 3], 'representative': 4, 'size': 2}
             
                      - 
              id: 139103911
              
{'aut_label': '6A', 'centralizer': '2.d1', 'counter': 26, 'group_counter': 4267, 'group_order': 576, 'label': '6B', 'order': 6, 'powers': [10, 3], 'representative': 388, 'size': 2}
             
                      - 
              id: 139103912
              
{'aut_label': '6A', 'centralizer': '2.d1', 'counter': 27, 'group_counter': 4267, 'group_order': 576, 'label': '6C', 'order': 6, 'powers': [11, 3], 'representative': 196, 'size': 2}
             
                      - 
              id: 139103913
              
{'aut_label': '6A', 'centralizer': '2.d1', 'counter': 28, 'group_counter': 4267, 'group_order': 576, 'label': '6D', 'order': 6, 'powers': [12, 3], 'representative': 396, 'size': 2}
             
                      - 
              id: 139103914
              
{'aut_label': '6E', 'centralizer': '2.d1', 'counter': 29, 'group_counter': 4267, 'group_order': 576, 'label': '6E', 'order': 6, 'powers': [10, 4], 'representative': 100, 'size': 2}
             
                      - 
              id: 139103916
              
{'aut_label': '6E', 'centralizer': '2.d1', 'counter': 30, 'group_counter': 4267, 'group_order': 576, 'label': '6F', 'order': 6, 'powers': [11, 4], 'representative': 484, 'size': 2}
             
                      - 
              id: 139103917
              
{'aut_label': '6E', 'centralizer': '2.d1', 'counter': 31, 'group_counter': 4267, 'group_order': 576, 'label': '6G', 'order': 6, 'powers': [9, 4], 'representative': 292, 'size': 2}
             
                      - 
              id: 139103918
              
{'aut_label': '6E', 'centralizer': '2.d1', 'counter': 32, 'group_counter': 4267, 'group_order': 576, 'label': '6H', 'order': 6, 'powers': [12, 4], 'representative': 108, 'size': 2}
             
                      - 
              id: 139103919
              
{'aut_label': '6I', 'centralizer': '2.d1', 'counter': 33, 'group_counter': 4267, 'group_order': 576, 'label': '6I', 'order': 6, 'powers': [12, 2], 'representative': 96, 'size': 2}
             
                      - 
              id: 139103920
              
{'aut_label': '6I', 'centralizer': '2.d1', 'counter': 34, 'group_counter': 4267, 'group_order': 576, 'label': '6J', 'order': 6, 'powers': [11, 2], 'representative': 104, 'size': 2}
             
                      - 
              id: 139103921
              
{'aut_label': '6I', 'centralizer': '2.d1', 'counter': 35, 'group_counter': 4267, 'group_order': 576, 'label': '6K', 'order': 6, 'powers': [10, 2], 'representative': 112, 'size': 2}
             
                      - 
              id: 139103922
              
{'aut_label': '6I', 'centralizer': '2.d1', 'counter': 36, 'group_counter': 4267, 'group_order': 576, 'label': '6L', 'order': 6, 'powers': [9, 2], 'representative': 296, 'size': 2}
             
                      - 
              id: 139103923
              
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 37, 'group_counter': 4267, 'group_order': 576, 'label': '8A1', 'order': 8, 'powers': [14, 39], 'representative': 72, 'size': 1}
             
                      - 
              id: 139103924
              
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 38, 'group_counter': 4267, 'group_order': 576, 'label': '8A-1', 'order': 8, 'powers': [13, 40], 'representative': 504, 'size': 1}
             
                      - 
              id: 139103925
              
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 39, 'group_counter': 4267, 'group_order': 576, 'label': '8A3', 'order': 8, 'powers': [13, 37], 'representative': 216, 'size': 1}
             
                      - 
              id: 139103927
              
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 40, 'group_counter': 4267, 'group_order': 576, 'label': '8A-3', 'order': 8, 'powers': [14, 38], 'representative': 360, 'size': 1}
             
                      - 
              id: 139103928
              
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 41, 'group_counter': 4267, 'group_order': 576, 'label': '8B1', 'order': 8, 'powers': [14, 43], 'representative': 84, 'size': 1}
             
                      - 
              id: 139103929
              
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 42, 'group_counter': 4267, 'group_order': 576, 'label': '8B-1', 'order': 8, 'powers': [13, 44], 'representative': 516, 'size': 1}
             
                      - 
              id: 139103930
              
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 43, 'group_counter': 4267, 'group_order': 576, 'label': '8B3', 'order': 8, 'powers': [13, 41], 'representative': 228, 'size': 1}
             
                      - 
              id: 139103931
              
{'aut_label': '8A1', 'centralizer': '1.a1', 'counter': 44, 'group_counter': 4267, 'group_order': 576, 'label': '8B-3', 'order': 8, 'powers': [14, 42], 'representative': 372, 'size': 1}
             
                      - 
              id: 139103932
              
{'aut_label': '8C1', 'centralizer': '2.d1', 'counter': 45, 'group_counter': 4267, 'group_order': 576, 'label': '8C1', 'order': 8, 'powers': [15, 47], 'representative': 78, 'size': 2}
             
                      - 
              id: 139103933
              
{'aut_label': '8C1', 'centralizer': '2.d1', 'counter': 46, 'group_counter': 4267, 'group_order': 576, 'label': '8C-1', 'order': 8, 'powers': [16, 48], 'representative': 522, 'size': 2}
             
                      - 
              id: 139103934
              
{'aut_label': '8C1', 'centralizer': '2.d1', 'counter': 47, 'group_counter': 4267, 'group_order': 576, 'label': '8C3', 'order': 8, 'powers': [16, 45], 'representative': 234, 'size': 2}
             
                      - 
              id: 139103935
              
{'aut_label': '8C1', 'centralizer': '2.d1', 'counter': 48, 'group_counter': 4267, 'group_order': 576, 'label': '8C-3', 'order': 8, 'powers': [15, 46], 'representative': 366, 'size': 2}
             
                      - 
              id: 139103936
              
{'aut_label': '8D1', 'centralizer': '18.b1', 'counter': 49, 'group_counter': 4267, 'group_order': 576, 'label': '8D1', 'order': 8, 'powers': [13, 51], 'representative': 25, 'size': 18}
             
                      - 
              id: 139103938
              
{'aut_label': '8D1', 'centralizer': '18.b1', 'counter': 50, 'group_counter': 4267, 'group_order': 576, 'label': '8D-1', 'order': 8, 'powers': [14, 52], 'representative': 169, 'size': 18}
             
                      - 
              id: 139103939
              
{'aut_label': '8D1', 'centralizer': '18.b1', 'counter': 51, 'group_counter': 4267, 'group_order': 576, 'label': '8D3', 'order': 8, 'powers': [14, 49], 'representative': 73, 'size': 18}
             
                      - 
              id: 139103940
              
{'aut_label': '8D1', 'centralizer': '18.b1', 'counter': 52, 'group_counter': 4267, 'group_order': 576, 'label': '8D-3', 'order': 8, 'powers': [13, 50], 'representative': 121, 'size': 18}
             
                      - 
              id: 139103941
              
{'aut_label': '8D1', 'centralizer': '18.b1', 'counter': 53, 'group_counter': 4267, 'group_order': 576, 'label': '8E1', 'order': 8, 'powers': [13, 55], 'representative': 27, 'size': 18}
             
                      - 
              id: 139103942
              
{'aut_label': '8D1', 'centralizer': '18.b1', 'counter': 54, 'group_counter': 4267, 'group_order': 576, 'label': '8E-1', 'order': 8, 'powers': [14, 56], 'representative': 171, 'size': 18}
             
                      - 
              id: 139103943
              
{'aut_label': '8D1', 'centralizer': '18.b1', 'counter': 55, 'group_counter': 4267, 'group_order': 576, 'label': '8E3', 'order': 8, 'powers': [14, 53], 'representative': 75, 'size': 18}
             
                      - 
              id: 139103944
              
{'aut_label': '8D1', 'centralizer': '18.b1', 'counter': 56, 'group_counter': 4267, 'group_order': 576, 'label': '8E-3', 'order': 8, 'powers': [13, 54], 'representative': 123, 'size': 18}
             
                      - 
              id: 139103945
              
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 57, 'group_counter': 4267, 'group_order': 576, 'label': '12A1', 'order': 12, 'powers': [25, 17], 'representative': 2, 'size': 2}
             
                      - 
              id: 139103946
              
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 58, 'group_counter': 4267, 'group_order': 576, 'label': '12A5', 'order': 12, 'powers': [25, 17], 'representative': 10, 'size': 2}
             
                      - 
              id: 139103947
              
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 59, 'group_counter': 4267, 'group_order': 576, 'label': '12B1', 'order': 12, 'powers': [26, 17], 'representative': 194, 'size': 2}
             
                      - 
              id: 139103949
              
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 60, 'group_counter': 4267, 'group_order': 576, 'label': '12B5', 'order': 12, 'powers': [26, 17], 'representative': 394, 'size': 2}
             
                      - 
              id: 139103950
              
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 61, 'group_counter': 4267, 'group_order': 576, 'label': '12C1', 'order': 12, 'powers': [27, 18], 'representative': 98, 'size': 2}
             
                      - 
              id: 139103951
              
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 62, 'group_counter': 4267, 'group_order': 576, 'label': '12C5', 'order': 12, 'powers': [27, 18], 'representative': 110, 'size': 2}
             
                      - 
              id: 139103952
              
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 63, 'group_counter': 4267, 'group_order': 576, 'label': '12D1', 'order': 12, 'powers': [27, 17], 'representative': 386, 'size': 2}
             
                      - 
              id: 139103953
              
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 64, 'group_counter': 4267, 'group_order': 576, 'label': '12D5', 'order': 12, 'powers': [27, 17], 'representative': 202, 'size': 2}
             
                      - 
              id: 139103954
              
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 65, 'group_counter': 4267, 'group_order': 576, 'label': '12E1', 'order': 12, 'powers': [25, 18], 'representative': 290, 'size': 2}
             
                      - 
              id: 139103955
              
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 66, 'group_counter': 4267, 'group_order': 576, 'label': '12E5', 'order': 12, 'powers': [25, 18], 'representative': 298, 'size': 2}
             
                      - 
              id: 139103956
              
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 67, 'group_counter': 4267, 'group_order': 576, 'label': '12F1', 'order': 12, 'powers': [26, 18], 'representative': 106, 'size': 2}
             
                      - 
              id: 139103957
              
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 68, 'group_counter': 4267, 'group_order': 576, 'label': '12F5', 'order': 12, 'powers': [26, 18], 'representative': 482, 'size': 2}
             
                      - 
              id: 139103958
              
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 69, 'group_counter': 4267, 'group_order': 576, 'label': '12G1', 'order': 12, 'powers': [28, 17], 'representative': 198, 'size': 2}
             
                      - 
              id: 139103960
              
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 70, 'group_counter': 4267, 'group_order': 576, 'label': '12G5', 'order': 12, 'powers': [28, 17], 'representative': 210, 'size': 2}
             
                      - 
              id: 139103961
              
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 71, 'group_counter': 4267, 'group_order': 576, 'label': '12H1', 'order': 12, 'powers': [28, 18], 'representative': 102, 'size': 2}
             
                      - 
              id: 139103962
              
{'aut_label': '12A1', 'centralizer': '2.d1', 'counter': 72, 'group_counter': 4267, 'group_order': 576, 'label': '12H5', 'order': 12, 'powers': [28, 18], 'representative': 114, 'size': 2}
             
                      - 
              id: 139103963
              
{'aut_label': '12I1', 'centralizer': '2.d1', 'counter': 73, 'group_counter': 4267, 'group_order': 576, 'label': '12I1', 'order': 12, 'powers': [33, 14], 'representative': 48, 'size': 2}
             
                      - 
              id: 139103964
              
{'aut_label': '12I1', 'centralizer': '2.d1', 'counter': 74, 'group_counter': 4267, 'group_order': 576, 'label': '12I-1', 'order': 12, 'powers': [33, 13], 'representative': 528, 'size': 2}
             
                      - 
              id: 139103965
              
{'aut_label': '12I1', 'centralizer': '2.d1', 'counter': 75, 'group_counter': 4267, 'group_order': 576, 'label': '12J1', 'order': 12, 'powers': [34, 14], 'representative': 64, 'size': 2}
             
                      - 
              id: 139103966
              
{'aut_label': '12I1', 'centralizer': '2.d1', 'counter': 76, 'group_counter': 4267, 'group_order': 576, 'label': '12J-1', 'order': 12, 'powers': [34, 13], 'representative': 536, 'size': 2}
             
                      - 
              id: 139103967
              
{'aut_label': '12I1', 'centralizer': '2.d1', 'counter': 77, 'group_counter': 4267, 'group_order': 576, 'label': '12K1', 'order': 12, 'powers': [35, 14], 'representative': 56, 'size': 2}
             
                      - 
              id: 139103968
              
{'aut_label': '12I1', 'centralizer': '2.d1', 'counter': 78, 'group_counter': 4267, 'group_order': 576, 'label': '12K-1', 'order': 12, 'powers': [35, 13], 'representative': 544, 'size': 2}
             
                      - 
              id: 139103969
              
{'aut_label': '12I1', 'centralizer': '2.d1', 'counter': 79, 'group_counter': 4267, 'group_order': 576, 'label': '12L1', 'order': 12, 'powers': [36, 14], 'representative': 448, 'size': 2}
             
                      - 
              id: 139103971
              
{'aut_label': '12I1', 'centralizer': '2.d1', 'counter': 80, 'group_counter': 4267, 'group_order': 576, 'label': '12L-1', 'order': 12, 'powers': [36, 13], 'representative': 152, 'size': 2}
             
                      - 
              id: 139103972
              
{'aut_label': '12M1', 'centralizer': '2.d1', 'counter': 81, 'group_counter': 4267, 'group_order': 576, 'label': '12M1', 'order': 12, 'powers': [34, 15], 'representative': 52, 'size': 2}
             
                      - 
              id: 139103973
              
{'aut_label': '12M1', 'centralizer': '2.d1', 'counter': 82, 'group_counter': 4267, 'group_order': 576, 'label': '12M-1', 'order': 12, 'powers': [34, 16], 'representative': 548, 'size': 2}
             
                      - 
              id: 139103974
              
{'aut_label': '12M1', 'centralizer': '2.d1', 'counter': 83, 'group_counter': 4267, 'group_order': 576, 'label': '12N1', 'order': 12, 'powers': [36, 15], 'representative': 436, 'size': 2}
             
                      - 
              id: 139103975
              
{'aut_label': '12M1', 'centralizer': '2.d1', 'counter': 84, 'group_counter': 4267, 'group_order': 576, 'label': '12N-1', 'order': 12, 'powers': [36, 16], 'representative': 164, 'size': 2}
             
                      - 
              id: 139103976
              
{'aut_label': '12M1', 'centralizer': '2.d1', 'counter': 85, 'group_counter': 4267, 'group_order': 576, 'label': '12O1', 'order': 12, 'powers': [35, 15], 'representative': 244, 'size': 2}
             
                      - 
              id: 139103977
              
{'aut_label': '12M1', 'centralizer': '2.d1', 'counter': 86, 'group_counter': 4267, 'group_order': 576, 'label': '12O-1', 'order': 12, 'powers': [35, 16], 'representative': 356, 'size': 2}
             
                      - 
              id: 139103978
              
{'aut_label': '12M1', 'centralizer': '2.d1', 'counter': 87, 'group_counter': 4267, 'group_order': 576, 'label': '12P1', 'order': 12, 'powers': [33, 15], 'representative': 60, 'size': 2}
             
                      - 
              id: 139103979
              
{'aut_label': '12M1', 'centralizer': '2.d1', 'counter': 88, 'group_counter': 4267, 'group_order': 576, 'label': '12P-1', 'order': 12, 'powers': [33, 16], 'representative': 540, 'size': 2}
             
                      - 
              id: 139103980
              
{'aut_label': '12Q1', 'centralizer': '2.d1', 'counter': 89, 'group_counter': 4267, 'group_order': 576, 'label': '12Q1', 'order': 12, 'powers': [29, 19], 'representative': 50, 'size': 2}
             
                      - 
              id: 139103982
              
{'aut_label': '12Q1', 'centralizer': '2.d1', 'counter': 90, 'group_counter': 4267, 'group_order': 576, 'label': '12Q-1', 'order': 12, 'powers': [29, 20], 'representative': 338, 'size': 2}
             
                      - 
              id: 139103983
              
{'aut_label': '12Q1', 'centralizer': '2.d1', 'counter': 91, 'group_counter': 4267, 'group_order': 576, 'label': '12Q5', 'order': 12, 'powers': [29, 19], 'representative': 250, 'size': 2}
             
                      - 
              id: 139103984
              
{'aut_label': '12Q1', 'centralizer': '2.d1', 'counter': 92, 'group_counter': 4267, 'group_order': 576, 'label': '12Q-5', 'order': 12, 'powers': [29, 20], 'representative': 538, 'size': 2}
             
                      - 
              id: 139103985
              
{'aut_label': '12Q1', 'centralizer': '2.d1', 'counter': 93, 'group_counter': 4267, 'group_order': 576, 'label': '12R1', 'order': 12, 'powers': [30, 19], 'representative': 242, 'size': 2}
             
                      - 
              id: 139103986
              
{'aut_label': '12Q1', 'centralizer': '2.d1', 'counter': 94, 'group_counter': 4267, 'group_order': 576, 'label': '12R-1', 'order': 12, 'powers': [30, 20], 'representative': 530, 'size': 2}
             
                      - 
              id: 139103987
              
{'aut_label': '12Q1', 'centralizer': '2.d1', 'counter': 95, 'group_counter': 4267, 'group_order': 576, 'label': '12R5', 'order': 12, 'powers': [30, 19], 'representative': 58, 'size': 2}
             
                      - 
              id: 139103988
              
{'aut_label': '12Q1', 'centralizer': '2.d1', 'counter': 96, 'group_counter': 4267, 'group_order': 576, 'label': '12R-5', 'order': 12, 'powers': [30, 20], 'representative': 346, 'size': 2}
             
                      - 
              id: 139103989
              
{'aut_label': '12Q1', 'centralizer': '2.d1', 'counter': 97, 'group_counter': 4267, 'group_order': 576, 'label': '12S1', 'order': 12, 'powers': [31, 20], 'representative': 146, 'size': 2}
             
                      - 
              id: 139103990
              
{'aut_label': '12Q1', 'centralizer': '2.d1', 'counter': 98, 'group_counter': 4267, 'group_order': 576, 'label': '12S-1', 'order': 12, 'powers': [31, 19], 'representative': 434, 'size': 2}
             
                      - 
              id: 139103991
              
{'aut_label': '12Q1', 'centralizer': '2.d1', 'counter': 99, 'group_counter': 4267, 'group_order': 576, 'label': '12S5', 'order': 12, 'powers': [31, 20], 'representative': 154, 'size': 2}
             
                      - 
              id: 139103826
              
{'aut_label': '12Q1', 'centralizer': '2.d1', 'counter': 100, 'group_counter': 4267, 'group_order': 576, 'label': '12S-5', 'order': 12, 'powers': [31, 19], 'representative': 442, 'size': 2}
             
                      - 
              id: 139103827
              
{'aut_label': '12Q1', 'centralizer': '2.d1', 'counter': 101, 'group_counter': 4267, 'group_order': 576, 'label': '12T1', 'order': 12, 'powers': [32, 19], 'representative': 54, 'size': 2}
             
                      - 
              id: 139103828
              
{'aut_label': '12Q1', 'centralizer': '2.d1', 'counter': 102, 'group_counter': 4267, 'group_order': 576, 'label': '12T-1', 'order': 12, 'powers': [32, 20], 'representative': 342, 'size': 2}
             
                      - 
              id: 139103829
              
{'aut_label': '12Q1', 'centralizer': '2.d1', 'counter': 103, 'group_counter': 4267, 'group_order': 576, 'label': '12T5', 'order': 12, 'powers': [32, 19], 'representative': 66, 'size': 2}
             
                      - 
              id: 139103830
              
{'aut_label': '12Q1', 'centralizer': '2.d1', 'counter': 104, 'group_counter': 4267, 'group_order': 576, 'label': '12T-5', 'order': 12, 'powers': [32, 20], 'representative': 354, 'size': 2}
             
                      - 
              id: 139103831
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 105, 'group_counter': 4267, 'group_order': 576, 'label': '24A1', 'order': 24, 'powers': [73, 37], 'representative': 24, 'size': 2}
             
                      - 
              id: 139103832
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 106, 'group_counter': 4267, 'group_order': 576, 'label': '24A-1', 'order': 24, 'powers': [74, 38], 'representative': 168, 'size': 2}
             
                      - 
              id: 139103833
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 107, 'group_counter': 4267, 'group_order': 576, 'label': '24A5', 'order': 24, 'powers': [73, 40], 'representative': 120, 'size': 2}
             
                      - 
              id: 139103834
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 108, 'group_counter': 4267, 'group_order': 576, 'label': '24A-5', 'order': 24, 'powers': [74, 39], 'representative': 264, 'size': 2}
             
                      - 
              id: 139103835
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 109, 'group_counter': 4267, 'group_order': 576, 'label': '24B1', 'order': 24, 'powers': [75, 37], 'representative': 32, 'size': 2}
             
                      - 
              id: 139103837
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 110, 'group_counter': 4267, 'group_order': 576, 'label': '24B-1', 'order': 24, 'powers': [76, 38], 'representative': 176, 'size': 2}
             
                      - 
              id: 139103838
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 111, 'group_counter': 4267, 'group_order': 576, 'label': '24B5', 'order': 24, 'powers': [75, 40], 'representative': 136, 'size': 2}
             
                      - 
              id: 139103839
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 112, 'group_counter': 4267, 'group_order': 576, 'label': '24B-5', 'order': 24, 'powers': [76, 39], 'representative': 464, 'size': 2}
             
                      - 
              id: 139103840
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 113, 'group_counter': 4267, 'group_order': 576, 'label': '24C1', 'order': 24, 'powers': [77, 41], 'representative': 28, 'size': 2}
             
                      - 
              id: 139103841
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 114, 'group_counter': 4267, 'group_order': 576, 'label': '24C-1', 'order': 24, 'powers': [78, 42], 'representative': 172, 'size': 2}
             
                      - 
              id: 139103842
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 115, 'group_counter': 4267, 'group_order': 576, 'label': '24C5', 'order': 24, 'powers': [77, 44], 'representative': 316, 'size': 2}
             
                      - 
              id: 139103843
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 116, 'group_counter': 4267, 'group_order': 576, 'label': '24C-5', 'order': 24, 'powers': [78, 43], 'representative': 460, 'size': 2}
             
                      - 
              id: 139103844
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 117, 'group_counter': 4267, 'group_order': 576, 'label': '24D1', 'order': 24, 'powers': [77, 37], 'representative': 40, 'size': 2}
             
                      - 
              id: 139103845
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 118, 'group_counter': 4267, 'group_order': 576, 'label': '24D-1', 'order': 24, 'powers': [78, 38], 'representative': 184, 'size': 2}
             
                      - 
              id: 139103846
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 119, 'group_counter': 4267, 'group_order': 576, 'label': '24D5', 'order': 24, 'powers': [77, 40], 'representative': 128, 'size': 2}
             
                      - 
              id: 139103848
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 120, 'group_counter': 4267, 'group_order': 576, 'label': '24D-5', 'order': 24, 'powers': [78, 39], 'representative': 272, 'size': 2}
             
                      - 
              id: 139103849
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 121, 'group_counter': 4267, 'group_order': 576, 'label': '24E1', 'order': 24, 'powers': [79, 37], 'representative': 224, 'size': 2}
             
                      - 
              id: 139103850
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 122, 'group_counter': 4267, 'group_order': 576, 'label': '24E-1', 'order': 24, 'powers': [80, 38], 'representative': 368, 'size': 2}
             
                      - 
              id: 139103851
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 123, 'group_counter': 4267, 'group_order': 576, 'label': '24E5', 'order': 24, 'powers': [79, 40], 'representative': 512, 'size': 2}
             
                      - 
              id: 139103852
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 124, 'group_counter': 4267, 'group_order': 576, 'label': '24E-5', 'order': 24, 'powers': [80, 39], 'representative': 80, 'size': 2}
             
                      - 
              id: 139103853
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 125, 'group_counter': 4267, 'group_order': 576, 'label': '24F1', 'order': 24, 'powers': [79, 41], 'representative': 220, 'size': 2}
             
                      - 
              id: 139103854
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 126, 'group_counter': 4267, 'group_order': 576, 'label': '24F-1', 'order': 24, 'powers': [80, 42], 'representative': 364, 'size': 2}
             
                      - 
              id: 139103855
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 127, 'group_counter': 4267, 'group_order': 576, 'label': '24F5', 'order': 24, 'powers': [79, 44], 'representative': 508, 'size': 2}
             
                      - 
              id: 139103856
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 128, 'group_counter': 4267, 'group_order': 576, 'label': '24F-5', 'order': 24, 'powers': [80, 43], 'representative': 76, 'size': 2}
             
                      - 
              id: 139103857
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 129, 'group_counter': 4267, 'group_order': 576, 'label': '24G1', 'order': 24, 'powers': [75, 44], 'representative': 124, 'size': 2}
             
                      - 
              id: 139103859
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 130, 'group_counter': 4267, 'group_order': 576, 'label': '24G-1', 'order': 24, 'powers': [76, 43], 'representative': 268, 'size': 2}
             
                      - 
              id: 139103860
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 131, 'group_counter': 4267, 'group_order': 576, 'label': '24G5', 'order': 24, 'powers': [75, 41], 'representative': 412, 'size': 2}
             
                      - 
              id: 139103861
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 132, 'group_counter': 4267, 'group_order': 576, 'label': '24G-5', 'order': 24, 'powers': [76, 42], 'representative': 556, 'size': 2}
             
                      - 
              id: 139103862
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 133, 'group_counter': 4267, 'group_order': 576, 'label': '24H1', 'order': 24, 'powers': [73, 41], 'representative': 36, 'size': 2}
             
                      - 
              id: 139103863
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 134, 'group_counter': 4267, 'group_order': 576, 'label': '24H-1', 'order': 24, 'powers': [74, 42], 'representative': 180, 'size': 2}
             
                      - 
              id: 139103864
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 135, 'group_counter': 4267, 'group_order': 576, 'label': '24H5', 'order': 24, 'powers': [73, 44], 'representative': 132, 'size': 2}
             
                      - 
              id: 139103865
              
{'aut_label': '24A1', 'centralizer': '2.d1', 'counter': 136, 'group_counter': 4267, 'group_order': 576, 'label': '24H-5', 'order': 24, 'powers': [74, 43], 'representative': 276, 'size': 2}
             
                      - 
              id: 139103866
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 137, 'group_counter': 4267, 'group_order': 576, 'label': '24I1', 'order': 24, 'powers': [81, 45], 'representative': 26, 'size': 2}
             
                      - 
              id: 139103867
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 138, 'group_counter': 4267, 'group_order': 576, 'label': '24I-1', 'order': 24, 'powers': [82, 46], 'representative': 170, 'size': 2}
             
                      - 
              id: 139103868
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 139, 'group_counter': 4267, 'group_order': 576, 'label': '24I5', 'order': 24, 'powers': [81, 48], 'representative': 130, 'size': 2}
             
                      - 
              id: 139103870
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 140, 'group_counter': 4267, 'group_order': 576, 'label': '24I-5', 'order': 24, 'powers': [82, 47], 'representative': 274, 'size': 2}
             
                      - 
              id: 139103871
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 141, 'group_counter': 4267, 'group_order': 576, 'label': '24I7', 'order': 24, 'powers': [82, 46], 'representative': 182, 'size': 2}
             
                      - 
              id: 139103872
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 142, 'group_counter': 4267, 'group_order': 576, 'label': '24I-7', 'order': 24, 'powers': [81, 45], 'representative': 38, 'size': 2}
             
                      - 
              id: 139103873
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 143, 'group_counter': 4267, 'group_order': 576, 'label': '24I11', 'order': 24, 'powers': [82, 47], 'representative': 458, 'size': 2}
             
                      - 
              id: 139103874
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 144, 'group_counter': 4267, 'group_order': 576, 'label': '24I-11', 'order': 24, 'powers': [81, 48], 'representative': 314, 'size': 2}
             
                      - 
              id: 139103875
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 145, 'group_counter': 4267, 'group_order': 576, 'label': '24J1', 'order': 24, 'powers': [83, 45], 'representative': 218, 'size': 2}
             
                      - 
              id: 139103876
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 146, 'group_counter': 4267, 'group_order': 576, 'label': '24J-1', 'order': 24, 'powers': [84, 46], 'representative': 362, 'size': 2}
             
                      - 
              id: 139103877
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 147, 'group_counter': 4267, 'group_order': 576, 'label': '24J5', 'order': 24, 'powers': [83, 48], 'representative': 514, 'size': 2}
             
                      - 
              id: 139103878
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 148, 'group_counter': 4267, 'group_order': 576, 'label': '24J-5', 'order': 24, 'powers': [84, 47], 'representative': 82, 'size': 2}
             
                      - 
              id: 139103879
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 149, 'group_counter': 4267, 'group_order': 576, 'label': '24J7', 'order': 24, 'powers': [84, 46], 'representative': 370, 'size': 2}
             
                      - 
              id: 139103881
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 150, 'group_counter': 4267, 'group_order': 576, 'label': '24J-7', 'order': 24, 'powers': [83, 45], 'representative': 226, 'size': 2}
             
                      - 
              id: 139103882
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 151, 'group_counter': 4267, 'group_order': 576, 'label': '24J11', 'order': 24, 'powers': [84, 47], 'representative': 74, 'size': 2}
             
                      - 
              id: 139103883
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 152, 'group_counter': 4267, 'group_order': 576, 'label': '24J-11', 'order': 24, 'powers': [83, 48], 'representative': 506, 'size': 2}
             
                      - 
              id: 139103884
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 153, 'group_counter': 4267, 'group_order': 576, 'label': '24K1', 'order': 24, 'powers': [85, 48], 'representative': 122, 'size': 2}
             
                      - 
              id: 139103885
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 154, 'group_counter': 4267, 'group_order': 576, 'label': '24K-1', 'order': 24, 'powers': [86, 47], 'representative': 266, 'size': 2}
             
                      - 
              id: 139103886
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 155, 'group_counter': 4267, 'group_order': 576, 'label': '24K5', 'order': 24, 'powers': [85, 45], 'representative': 34, 'size': 2}
             
                      - 
              id: 139103887
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 156, 'group_counter': 4267, 'group_order': 576, 'label': '24K-5', 'order': 24, 'powers': [86, 46], 'representative': 178, 'size': 2}
             
                      - 
              id: 139103888
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 157, 'group_counter': 4267, 'group_order': 576, 'label': '24K7', 'order': 24, 'powers': [86, 47], 'representative': 466, 'size': 2}
             
                      - 
              id: 139103889
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 158, 'group_counter': 4267, 'group_order': 576, 'label': '24K-7', 'order': 24, 'powers': [85, 48], 'representative': 322, 'size': 2}
             
                      - 
              id: 139103890
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 159, 'group_counter': 4267, 'group_order': 576, 'label': '24K11', 'order': 24, 'powers': [86, 46], 'representative': 554, 'size': 2}
             
                      - 
              id: 139103892
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 160, 'group_counter': 4267, 'group_order': 576, 'label': '24K-11', 'order': 24, 'powers': [85, 45], 'representative': 410, 'size': 2}
             
                      - 
              id: 139103893
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 161, 'group_counter': 4267, 'group_order': 576, 'label': '24L1', 'order': 24, 'powers': [87, 45], 'representative': 30, 'size': 2}
             
                      - 
              id: 139103894
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 162, 'group_counter': 4267, 'group_order': 576, 'label': '24L-1', 'order': 24, 'powers': [88, 46], 'representative': 174, 'size': 2}
             
                      - 
              id: 139103895
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 163, 'group_counter': 4267, 'group_order': 576, 'label': '24L5', 'order': 24, 'powers': [87, 48], 'representative': 126, 'size': 2}
             
                      - 
              id: 139103896
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 164, 'group_counter': 4267, 'group_order': 576, 'label': '24L-5', 'order': 24, 'powers': [88, 47], 'representative': 270, 'size': 2}
             
                      - 
              id: 139103897
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 165, 'group_counter': 4267, 'group_order': 576, 'label': '24L7', 'order': 24, 'powers': [88, 46], 'representative': 186, 'size': 2}
             
                      - 
              id: 139103898
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 166, 'group_counter': 4267, 'group_order': 576, 'label': '24L-7', 'order': 24, 'powers': [87, 45], 'representative': 42, 'size': 2}
             
                      - 
              id: 139103899
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 167, 'group_counter': 4267, 'group_order': 576, 'label': '24L11', 'order': 24, 'powers': [88, 47], 'representative': 282, 'size': 2}
             
                      - 
              id: 139103900
              
{'aut_label': '24I1', 'centralizer': '2.d1', 'counter': 168, 'group_counter': 4267, 'group_order': 576, 'label': '24L-11', 'order': 24, 'powers': [87, 48], 'representative': 138, 'size': 2}
             
                  
           
      - 
              gps_qchar •   Show schema
  Hide schema
   
        
                      - 
              id: 12477642
              
{'cdim': 1, 'counter': 1, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
             
                      - 
              id: 12477653
              
{'cdim': 1, 'counter': 2, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
             
                      - 
              id: 12477664
              
{'cdim': 1, 'counter': 3, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
             
                      - 
              id: 12477675
              
{'cdim': 1, 'counter': 4, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1], 'schur_index': 1}
             
                      - 
              id: 12477686
              
{'cdim': 1, 'counter': 5, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.1e', '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, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1], 'schur_index': 1}
             
                      - 
              id: 12477697
              
{'cdim': 1, 'counter': 6, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.1f', '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, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1], 'schur_index': 1}
             
                      - 
              id: 12477707
              
{'cdim': 1, 'counter': 7, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.1g', '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, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1], 'schur_index': 1}
             
                      - 
              id: 12477708
              
{'cdim': 1, 'counter': 8, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.1h', '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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
             
                      - 
              id: 12477709
              
{'cdim': 1, 'counter': 9, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.1i', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 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], 'schur_index': 1}
             
                      - 
              id: 12477643
              
{'cdim': 1, 'counter': 10, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.1j', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, -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], 'schur_index': 1}
             
                      - 
              id: 12477644
              
{'cdim': 1, 'counter': 11, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.1k', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, -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], 'schur_index': 1}
             
                      - 
              id: 12477645
              
{'cdim': 1, 'counter': 12, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.1l', 'multiplicity': 2, 'nt': [4, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 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], 'schur_index': 1}
             
                      - 
              id: 12477650
              
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                      - 
              id: 12477651
              
{'cdim': 2, 'counter': 18, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2b', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, -1, -1, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1], 'schur_index': 1}
             
                      - 
              id: 12477652
              
{'cdim': 2, 'counter': 19, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2c', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
             
                      - 
              id: 12477654
              
{'cdim': 2, 'counter': 20, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2d', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, 2, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2], 'schur_index': 1}
             
                      - 
              id: 12477655
              
{'cdim': 2, 'counter': 21, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2e', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [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, 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, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, -2, 2, 0, -2, 0, -2, 2, -2, 0, -2, 0, 0, -2, 0, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, -2, 0, 2, 2, 2, -2, 0, 0, -2, -2, 0, 0, 2, 0, -2, -2], 'schur_index': 1}
             
                      - 
              id: 12477656
              
{'cdim': 2, 'counter': 22, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2f', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [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, 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, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 2, -2, 0, 2, 0, 2, -2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, -2, -2, 0, -2, 0, -2, 0, -2, -2, -2, 0, 0, 2, 0, -2, -2, -2, 2, 0, 0, 2, 2, 0, 0, -2, 0, 2, 2], 'schur_index': 1}
             
                      - 
              id: 12477657
              
{'cdim': 2, 'counter': 23, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2g', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, 1, 1, -2, 1, 2, -1, 2, -1, -1, 1, -2, 1, -1, 1, 1, 1, 2, -1, -1, -2, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -2, -2, -1, 2, -1, -1, 1, 1, -2, -2, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 2, -2, -1, 1, 1, 1, -1, 1, 2, -1, 1, -1, -1, 1, 1, -1, -1, -2, -1, 2, 2, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 2, -2, -1, 1, 1, -2, -1, -1, -2, -1, -2, 1, 1, -2, -1, -1, -2, 1, 2, 2, 1, 2, 1, 1], 'schur_index': 1}
             
                      - 
              id: 12477658
              
{'cdim': 2, 'counter': 24, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2h', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, -2, 1, 1, -2, 1, 2, -1, 2, -1, -1, 1, -2, 1, -1, 1, 1, 1, 2, -1, -1, -2, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -2, -2, -1, 2, -1, -1, 1, 1, -2, -2, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -2, 2, 1, -1, -1, -1, 1, -1, -2, 1, -1, 1, 1, -1, -1, 1, 1, 2, 1, -2, -2, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -2, 2, 1, -1, -1, 2, 1, 1, 2, 1, 2, -1, -1, 2, 1, 1, 2, -1, -2, -2, -1, -2, -1, -1], 'schur_index': 1}
             
                      - 
              id: 12477659
              
{'cdim': 2, 'counter': 25, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2i', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, -2, 1, 1, -2, 1, -2, -2, 1, -2, 1, 1], 'schur_index': 1}
             
                      - 
              id: 12477660
              
{'cdim': 2, 'counter': 26, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2j', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, -1, -1, 2, -1, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, -2, 1, 1, -2, -2, 1, 1, -1, -1, -1, 2, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 2, 1, -2, -1, 1, 1, -1, -1, 1, 1, -2, 1, 1, 1, 2, -1, -1, 2, -2, 1, 1, 1, 1, 1, -2, 1, -1, -1, -1, 1, 1, -2, -1, 1, 2, -2, 1, 1, -1, 1, -1, 2, -2, -1, -1, 1, 1, -1, -1, 1, 2, -1, -1, 2, -2, -1, -1, -1, -1, 1, -1, -2, -2, -1, 1, -1, 1, 2, 1, 1, 1, 2, 2, 1, -1, 1, -2, 1, 1, 2, -1, 1, 1, -1, -1, 1, -1, -2, 1], 'schur_index': 1}
             
                      - 
              id: 12477661
              
{'cdim': 2, 'counter': 27, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2k', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, -1, -1, 2, -1, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 1, -2, 1, 1, -2, -2, 1, 1, -1, -1, -1, 2, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 2, 1, -2, -1, 1, 1, -1, -1, 1, 1, -2, 1, 1, 1, 2, -1, -1, 2, -2, 1, 1, 1, 1, 1, -2, -1, 1, 1, 1, -1, -1, 2, 1, -1, -2, 2, -1, -1, 1, -1, 1, -2, 2, 1, 1, -1, -1, 1, 1, -1, -2, 1, 1, -2, 2, 1, 1, 1, 1, -1, 1, 2, 2, 1, -1, 1, -1, -2, -1, -1, -1, -2, -2, -1, 1, -1, 2, -1, -1, -2, 1, -1, -1, 1, 1, -1, 1, 2, -1], 'schur_index': 1}
             
                      - 
              id: 12477662
              
{'cdim': 2, 'counter': 28, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2l', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, -1, -1, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, 2, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1], 'schur_index': 1}
             
                      - 
              id: 12477663
              
{'cdim': 2, 'counter': 29, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2m', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, -1, 2, -1, -1, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 2, 1, 1, -2, 2, -2, -2, -2, -1, -1, -1, 1, 1, 2, -2, -2, -1, 2, -2, -2, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -2, -1, -1, -1, -2, 1, 1, -1, 1, -1, 1, 1, -2, 2, 1, -1, -1, 1, 2, -1, -2, -2, 2, 2, 1, -1, -1, -1, -1, 1, 2, -1, -1, -1, -2, 2, 1, 1, -1, 1, -1, 1, -1, 1, -2, 1, -1, -1, 1, 2, 1, 1, -2, 1, -1, 2, 1, 1, -1, -1, 1, -1, 1, 1], 'schur_index': 1}
             
                      - 
              id: 12477665
              
{'cdim': 2, 'counter': 30, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2n', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, -1, 2, -1, -1, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 2, 1, 1, -2, 2, -2, -2, -2, -1, -1, -1, 1, 1, 2, -2, -2, -1, 2, -2, -2, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, -1, -1, 1, -1, 1, -1, -1, 2, -2, -1, 1, 1, -1, -2, 1, 2, 2, -2, -2, -1, 1, 1, 1, 1, -1, -2, 1, 1, 1, 2, -2, -1, -1, 1, -1, 1, -1, 1, -1, 2, -1, 1, 1, -1, -2, -1, -1, 2, -1, 1, -2, -1, -1, 1, 1, -1, 1, -1, -1], 'schur_index': 1}
             
                      - 
              id: 12477666
              
{'cdim': 2, 'counter': 31, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2o', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, -2, 1, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
             
                      - 
              id: 12477667
              
{'cdim': 2, 'counter': 32, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2p', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, 2, -1, -1, -1, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -2, 1, 1, 1, 1, -2, -1, 2, -1, -1, -1, -2, 1, 1, -1, 1, 1, 1, -1, 2, -1, 1, 1, -1, 1, 1, 2, -1, 1, 1, 1, -2, 1, 1, -1, -1, 2, -1, 1, -2, 1, 1, -2, -2, 1, 1, 2, 2, 2, 1, -2, 1, -1, 1, -1, 1, -2, 1, -1, -2, -1, -1, 1, -1, 2, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 2, 2, 2, 1, -1, 1, 1, 2, -2, -1, 1, -1, -2, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -2, -1, -1, -2, -1, 1, -2], 'schur_index': 1}
             
                      - 
              id: 12477668
              
{'cdim': 2, 'counter': 33, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2q', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, 2, -1, -1, -1, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 1, -2, 1, -2, 1, 1, 1, 1, -2, -1, 2, -1, -1, -1, -2, 1, 1, -1, 1, 1, 1, -1, 2, -1, 1, 1, -1, 1, 1, 2, -1, 1, 1, 1, -2, 1, 1, -1, -1, 2, -1, 1, -2, 1, 1, -2, -2, 1, -1, -2, -2, -2, -1, 2, -1, 1, -1, 1, -1, 2, -1, 1, 2, 1, 1, -1, 1, -2, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -2, -2, -2, -1, 1, -1, -1, -2, 2, 1, -1, 1, 2, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 2, 1, 1, 2, 1, -1, 2], 'schur_index': 1}
             
                      - 
              id: 12477669
              
{'cdim': 2, 'counter': 34, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2r', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 0, 0, 0, 0, 2, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, 2, -1, 1, -2, -2, -2, 1, -2, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, 1, 1, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, 1, -2], 'schur_index': 1}
             
                      - 
              id: 12477646
              
{'cdim': 1, 'counter': 13, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.1m', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -4, 4, -4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 4, -4, -4, 4, -4, -4, -4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, -4, -4, -4, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12477647
              
{'cdim': 1, 'counter': 14, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.1n', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -4, 4, 4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 4, -4, -4, 4, -4, -4, -4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, -4, 0, 0, 0, 0, -4, -4, 0, 0, -4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12477648
              
{'cdim': 1, 'counter': 15, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.1o', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, -4, -4, 4, 4, 4, 4, 4, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 4, -4, -4, 4, -4, -4, -4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, -4, 0, 0, 0, 0, -4, -4, 0, 0, -4, 0, 0, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12477649
              
{'cdim': 1, 'counter': 16, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.1p', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, 4, -4, 4, -4, 4, -4, 4, 4, 4, 4, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 4, -4, -4, 4, -4, -4, -4, -4, -4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 4, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, -4, -4, -4, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12477670
              
{'cdim': 2, 'counter': 35, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2s', 'multiplicity': 2, 'nt': [8, 11], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, 4, 4, 4, 4, -4, -4, 4, 4, 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, 4, -4, -4, -4, 4, 0, 0, 0, -4, 0, 0, 0, -4, -4, -4, 0, 0, 4, 0, 0, 4, -4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
             
                      - 
              id: 12477671
              
{'cdim': 2, 'counter': 36, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2t', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, -2, -2, -2, 4, -4, -4, -4, -4, -4, 4, -4, 4, 0, 0, 0, 0, 4, 4, -2, -2, -2, -2, -2, -2, 4, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, 4, 2, -2, -4, 2, -4, 2, -4, 2, 2, -2, -4, -2, 2, 2, -2, 2, -4, 2, 2, 4, -2, 2, 2, -2, 2, 2, 2, -2, -2, -2, -4, 4, 2, -4, 2, 2, 2, 2, 4, -4, -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], 'schur_index': 1}
             
                      - 
              id: 12477672
              
{'cdim': 2, 'counter': 37, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2u', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, -2, -2, -2, 4, -4, -4, -4, -4, 4, -4, 4, -4, 0, 0, 0, 0, 4, 4, -2, -2, -2, -2, -2, -2, 4, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, -4, -2, 2, 4, -2, -4, 2, -4, 2, 2, 2, 4, 2, 2, -2, 2, -2, -4, 2, 2, -4, 2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 4, -4, 2, -4, 2, 2, -2, -2, -4, 4, 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], 'schur_index': 1}
             
                      - 
              id: 12477673
              
{'cdim': 2, 'counter': 38, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2v', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, -2, -2, 4, -2, -4, -4, -4, -4, -4, 4, -4, 4, 0, 0, 0, 0, -2, -2, 4, -2, -2, -2, -2, -2, -2, -2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 2, -4, -2, -2, -4, 4, 2, 2, 2, 2, 2, -4, 2, -2, 2, -2, 2, 2, -2, 2, 2, 2, -4, -2, 4, 2, 2, -2, 2, 2, 2, -2, 4, -2, 2, -2, -4, 2, 2, -4, -4, 2, -2, 2, -2, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
             
                      - 
              id: 12477674
              
{'cdim': 2, 'counter': 39, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2w', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, -2, -2, 4, -2, -4, -4, -4, -4, 4, -4, 4, -4, 0, 0, 0, 0, -2, -2, 4, -2, -2, -2, -2, -2, -2, -2, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -2, 4, 2, 2, 4, -4, -2, -2, 2, 2, 2, -4, 2, 2, -2, 2, 2, -2, 2, -2, 2, 2, -4, 2, -4, 2, -2, 2, 2, 2, -2, 2, -4, 2, -2, 2, -4, 2, 2, -4, 4, -2, 2, -2, 2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
             
                      - 
              id: 12477676
              
{'cdim': 2, 'counter': 40, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2x', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, -2, 4, -2, -2, -4, -4, -4, -4, -4, 4, -4, 4, 0, 0, 0, 0, -2, -2, -2, 4, -2, 4, -2, 4, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, -4, -2, 2, 4, -4, -4, 4, -4, 2, 2, 2, -2, -2, -4, -4, 4, 2, -4, -4, 4, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12477677
              
{'cdim': 2, 'counter': 41, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2y', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, -2, 4, -2, -2, -4, -4, -4, -4, 4, -4, 4, -4, 0, 0, 0, 0, -2, -2, -2, 4, -2, 4, -2, 4, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, 2, 2, -4, 2, -2, -4, -4, 4, -4, 4, 2, 2, 2, 2, 2, -4, 4, -4, 2, -4, 4, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12477678
              
{'cdim': 2, 'counter': 42, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2z', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, 4, -2, -2, -2, -4, -4, -4, -4, -4, 4, -4, 4, 0, 0, 0, 0, -2, -2, -2, -2, 4, -2, 4, -2, -2, 4, -2, -2, 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, -4, 2, -4, 2, 2, 2, 4, 2, -2, 2, 2, -2, 2, 2, -4, 2, -2, -2, 2, 2, -2, -4, 2, 2, -2, -2, 4, 2, -2, 2, 2, -4, 2, 2, -4, -2, 2, 4, -4, -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], 'schur_index': 1}
             
                      - 
              id: 12477679
              
{'cdim': 2, 'counter': 43, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2aa', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 0, 0, 0, 0, 4, -2, -2, -2, -4, -4, -4, -4, 4, -4, 4, -4, 0, 0, 0, 0, -2, -2, -2, -2, 4, -2, 4, -2, -2, 4, -2, -2, 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, 4, 2, -4, 2, 2, 2, -4, -2, 2, 2, -2, 2, -2, 2, -4, 2, 2, 2, 2, -2, 2, -4, 2, -2, 2, 2, -4, -2, 2, 2, 2, -4, 2, -2, 4, 2, -2, -4, 4, 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], 'schur_index': 1}
             
                      - 
              id: 12477680
              
{'cdim': 2, 'counter': 44, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2ab', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, -2, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 2, 2, 2, 2, -2, -2, 4, 2, 2, -2, -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, -4, -2, 4, -2, 2, 0, 0, 0, -2, 0, 0, 0, 4, -2, -2, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, -4, 2, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 2, -2, 0, -4, 0, 2, -2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, -2, -2, 0, -2, 0, 4, 0, -2, -2, 4, 0, 0, -4, 0, 4, -2, -2, -4, 0, 0, -4, 2, 0, 0, -2, 0, 2, 2], 'schur_index': 1}
             
                      - 
              id: 12477681
              
{'cdim': 2, 'counter': 45, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2ac', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, -2, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 2, 2, 2, 2, -2, -2, 4, 2, 2, -2, 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, -4, -2, 4, -2, 2, 0, 0, 0, -2, 0, 0, 0, 4, -2, -2, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, -4, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, -2, 2, 0, 4, 0, -2, 2, -2, 0, -2, 0, 0, -2, 0, 0, -2, -2, 0, 0, -4, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 2, 2, 0, 2, 0, -4, 0, 2, 2, -4, 0, 0, 4, 0, -4, 2, 2, 4, 0, 0, 4, -2, 0, 0, 2, 0, -2, -2], 'schur_index': 1}
             
                      - 
              id: 12477682
              
{'cdim': 2, 'counter': 46, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2ad', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, 4, -2, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4, 2, 2, 2, -2, -2, -2, 2, -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, 2, -2, -2, 4, 2, 0, 0, 0, -2, 0, 0, 0, -2, -2, 4, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -4, 2, 2, -4, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 2, 4, 0, 2, 0, -4, -2, 2, 0, 2, 0, 0, -4, 0, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, -4, 0, 0, 0, 0, 2, 0, 4, 4, 0, -2, 0, -2, 0, -2, -2, -2, 0, 0, 2, 0, -2, 4, -2, 2, 0, 0, 2, 2, 0, 0, -2, 0, -4, 2], 'schur_index': 1}
             
                      - 
              id: 12477683
              
{'cdim': 2, 'counter': 47, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2ae', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, -2, 4, -2, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -4, 2, 2, 2, -2, -2, -2, 2, -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, 2, -2, -2, 4, 2, 0, 0, 0, -2, 0, 0, 0, -2, -2, 4, 0, 0, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -4, 2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, -2, -4, 0, -2, 0, 4, 2, -2, 0, -2, 0, 0, 4, 0, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, -2, 0, -4, -4, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, -2, 0, 2, -4, 2, -2, 0, 0, -2, -2, 0, 0, 2, 0, 4, -2], 'schur_index': 1}
             
                      - 
              id: 12477684
              
{'cdim': 2, 'counter': 48, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2af', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, 4, -2, -2, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -4, 2, -4, -2, 4, -2, 2, 2, -2, -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, 2, -2, -2, -2, -4, 0, 0, 0, 4, 0, 0, 0, -2, -2, -2, 0, 0, -4, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 2, -2, 0, 2, 0, 2, -2, -4, 0, 2, 0, 0, 2, 0, 0, -4, -4, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, -4, 0, -2, -2, 0, -2, 0, -2, 0, -2, 4, -2, 0, 0, 2, 0, -2, -2, 4, 2, 0, 0, 2, 2, 0, 0, -2, 0, 2, 2], 'schur_index': 1}
             
                      - 
              id: 12477685
              
{'cdim': 2, 'counter': 49, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2ag', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, -2, 4, -2, -2, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -4, 2, -4, -2, 4, -2, 2, 2, -2, 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, 2, -2, -2, -2, -4, 0, 0, 0, 4, 0, 0, 0, -2, -2, -2, 0, 0, -4, 0, 0, 2, 4, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, -2, 2, 0, -2, 0, -2, 2, 4, 0, -2, 0, 0, -2, 0, 0, 4, 4, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 4, 0, 2, 2, 0, 2, 0, 2, 0, 2, -4, 2, 0, 0, -2, 0, 2, 2, -4, -2, 0, 0, -2, -2, 0, 0, 2, 0, -2, -2], 'schur_index': 1}
             
                      - 
              id: 12477687
              
{'cdim': 2, 'counter': 50, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2ah', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, 4, -2, -2, -2, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -4, 2, 4, -2, -2, -4, 2, -2, -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, 2, 4, -2, -2, 2, 0, 0, 0, -2, 0, 0, 0, -2, 4, -2, 0, 0, 2, 0, 0, -4, -2, 0, 0, 0, 0, 0, 0, 2, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, -4, -2, 0, 2, 0, 2, 4, 2, 0, -4, 0, 0, 2, 0, 0, 2, 2, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, -2, -2, 0, 4, 0, -2, 0, 4, -2, -2, 0, 0, 2, 0, -2, -2, -2, 2, 0, 0, 2, -4, 0, 0, 4, 0, 2, -4], 'schur_index': 1}
             
                      - 
              id: 12477688
              
{'cdim': 2, 'counter': 51, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2ai', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, 0, 0, 4, -2, -2, -2, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, -4, 2, 4, -2, -2, -4, 2, -2, 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, 2, 4, -2, -2, 2, 0, 0, 0, -2, 0, 0, 0, -2, 4, -2, 0, 0, 2, 0, 0, -4, -2, 0, 0, 0, 0, 0, 0, 2, 2, -4, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 4, 2, 0, -2, 0, -2, -4, -2, 0, 4, 0, 0, -2, 0, 0, -2, -2, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 2, 2, 0, -4, 0, 2, 0, -4, 2, 2, 0, 0, -2, 0, 2, 2, 2, -2, 0, 0, -2, 4, 0, 0, -4, 0, -2, 4], 'schur_index': 1}
             
                      - 
              id: 12477689
              
{'cdim': 2, 'counter': 52, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2aj', 'multiplicity': 4, 'nt': [16, 16], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 8, 8, -8, 8, 8, -8, -8, -8, -8, -8, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12477690
              
{'cdim': 2, 'counter': 53, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2ak', 'multiplicity': 4, 'nt': [24, 19], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 0, 0, 0, 0, -4, -4, -4, 8, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 4, 4, 4, 4, -4, -4, 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, 8, 4, -8, 4, -4, 0, 0, 0, 4, 0, 0, 0, -8, 4, 4, 0, 0, -4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, -4, 8, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
             
                      - 
              id: 12477691
              
{'cdim': 2, 'counter': 54, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2al', 'multiplicity': 4, 'nt': [24, 19], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 0, 0, 0, 0, -4, -4, 8, -4, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -8, 4, 4, 4, -4, -4, -4, 4, -8, 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, 0, 0, 0, 0, 0, -4, 4, 4, -8, -4, 0, 0, 0, 4, 0, 0, 0, 4, 4, -8, 0, 0, -4, 0, 0, -4, 4, 0, 0, 0, 0, 0, 0, 8, -4, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12477692
              
{'cdim': 2, 'counter': 55, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2am', 'multiplicity': 4, 'nt': [24, 19], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 0, 0, 0, 0, -4, 8, -4, -4, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, -8, 4, -8, -4, 8, -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, -4, 4, 4, 4, 8, 0, 0, 0, -8, 0, 0, 0, 4, 4, 4, 0, 0, 8, 0, 0, -4, -8, 0, 0, 0, 0, 0, 0, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
             
                      - 
              id: 12477693
              
{'cdim': 2, 'counter': 56, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2an', 'multiplicity': 4, 'nt': [24, 19], 'qdim': 8, 'qvalues': [8, 8, -8, -8, 0, 0, 0, 0, 8, -4, -4, -4, -8, -8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, -8, 4, 8, -4, -4, -8, 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, -4, -8, 4, 4, -4, 0, 0, 0, 4, 0, 0, 0, 4, -8, 4, 0, 0, -4, 0, 0, 8, 4, 0, 0, 0, 0, 0, 0, -4, -4, 8, -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], 'schur_index': 1}
             
                      - 
              id: 12477694
              
{'cdim': 2, 'counter': 57, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2ao', 'multiplicity': 4, 'nt': [24, 32], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, 0, 0, -4, -4, -4, 8, 0, 0, 0, 0, 0, -8, 0, 8, 0, 0, 0, 0, 8, -8, 4, -4, 4, 4, 4, 4, -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, 4, -8, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 4, 0, 0, 0, 0, -8, 4, 0, 0, 4, 0, 0, 0, -4, -4, -4, 0, 8, 0, 0, 0, 0, 0, 0, 8, 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], 'schur_index': 1}
             
                      - 
              id: 12477695
              
{'cdim': 2, 'counter': 58, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2ap', 'multiplicity': 4, 'nt': [24, 32], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, 0, 0, -4, -4, -4, 8, 0, 0, 0, 0, 0, 8, 0, -8, 0, 0, 0, 0, 8, -8, 4, -4, 4, 4, 4, 4, -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, -4, 8, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, -4, 0, 0, 0, 0, 8, -4, 0, 0, -4, 0, 0, 0, 4, 4, 4, 0, -8, 0, 0, 0, 0, 0, 0, -8, 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], 'schur_index': 1}
             
                      - 
              id: 12477696
              
{'cdim': 2, 'counter': 59, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2aq', 'multiplicity': 4, 'nt': [24, 32], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, 0, 0, -4, -4, 8, -4, 0, 0, 0, 0, 0, -8, 0, 8, 0, 0, 0, 0, -4, 4, -8, -4, 4, 4, 4, 4, 4, -4, 8, -8, 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, 0, -8, 0, 0, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 4, 0, 0, 0, 0, 4, -8, 0, 0, 4, 0, 0, 0, -4, 8, -4, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, -4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12477698
              
{'cdim': 2, 'counter': 60, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2ar', 'multiplicity': 4, 'nt': [24, 32], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, 0, 0, -4, -4, 8, -4, 0, 0, 0, 0, 0, 8, 0, -8, 0, 0, 0, 0, -4, 4, -8, -4, 4, 4, 4, 4, 4, -4, 8, -8, 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, 0, 8, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, -4, 0, 0, 0, 0, -4, 8, 0, 0, -4, 0, 0, 0, 4, -8, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 4, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12477699
              
{'cdim': 2, 'counter': 61, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2as', 'multiplicity': 4, 'nt': [24, 32], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, 0, 0, -4, 8, -4, -4, 0, 0, 0, 0, 0, -8, 0, 8, 0, 0, 0, 0, -4, 4, 4, 8, 4, -8, 4, -8, 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, 4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 8, 0, 0, -8, 0, 0, 0, 0, 4, 4, 0, 0, -8, 0, 0, 0, 8, -4, -4, 0, -4, 0, 0, 0, 0, 0, 0, -4, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12477700
              
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                      - 
              id: 12477701
              
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                      - 
              id: 12477702
              
{'cdim': 2, 'counter': 64, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2av', 'multiplicity': 4, 'nt': [24, 32], 'qdim': 8, 'qvalues': [8, -8, 8, -8, 0, 0, 0, 0, 8, -4, -4, -4, 0, 0, 0, 0, 0, 8, 0, -8, 0, 0, 0, 0, -4, 4, 4, -4, -8, 4, -8, 4, 4, 8, -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, 8, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 4, 0, 0, -4, 0, 0, 0, 0, -4, -4, 0, 0, -4, 0, 0, 0, 4, 4, -8, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, -8, 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], 'schur_index': 1}
             
                      - 
              id: 12477703
              
{'cdim': 2, 'counter': 65, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2aw', 'multiplicity': 8, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 0, 0, 0, 0, -8, -8, -8, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 16, -8, 8, -8, -8, 8, 8, -16, 8, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12477704
              
{'cdim': 2, 'counter': 66, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2ax', 'multiplicity': 8, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 0, 0, 0, 0, -8, -8, 16, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, 16, 8, -8, -8, 8, 8, 8, 8, -16, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12477705
              
{'cdim': 2, 'counter': 67, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2ay', 'multiplicity': 8, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 0, 0, 0, 0, -8, 16, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, -8, -16, -8, 16, 8, -16, 8, 8, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 12477706
              
{'cdim': 2, 'counter': 68, 'faithful': False, 'group': '576.4267', 'group_order': 576, 'image': None, 'label': '576.4267.2az', 'multiplicity': 8, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, 0, 0, 0, 0, 16, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, -8, -8, 8, 16, -8, -16, 8, 8, -16, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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}
             
                  
           
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              gps_char •   Show schema
  Hide schema
   
        
                      - 
              id: 28937930
              
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                      - 
              id: 28938010
              
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                      - 
              id: 28938021
              
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                      - 
              id: 28938032
              
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                      - 
              id: 28938043
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 288, 'label': '576.4267.1e', '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]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[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: 28938054
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 288, 'label': '576.4267.1f', '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]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 28938065
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 288, 'label': '576.4267.1g', '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]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[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: 28938076
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 288, 'label': '576.4267.1h', '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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 28938087
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 9, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1', 'kernel_order': 144, 'label': '576.4267.1i1', 'nt': [4, 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, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
             
                      - 
              id: 28937931
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 10, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.h1', 'kernel_order': 144, 'label': '576.4267.1i2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
             
                      - 
              id: 28937942
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 11, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1', 'kernel_order': 144, 'label': '576.4267.1j1', 'nt': [4, 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, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
             
                      - 
              id: 28937953
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 12, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1', 'kernel_order': 144, 'label': '576.4267.1j2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
             
                      - 
              id: 28937964
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 13, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1', 'kernel_order': 144, 'label': '576.4267.1k1', 'nt': [4, 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, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
             
                      - 
              id: 28937975
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 14, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.b1', 'kernel_order': 144, 'label': '576.4267.1k2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
             
                      - 
              id: 28937986
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 15, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 144, 'label': '576.4267.1l1', 'nt': [4, 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, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
             
                      - 
              id: 28937997
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 16, 'cyclotomic_n': 4, 'dim': 1, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '4.1', 'image_order': 4, 'indicator': 0, 'kernel': '4.c1', 'kernel_order': 144, 'label': '576.4267.1l2', 'nt': [4, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
             
                      - 
              id: 28938007
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 17, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.g1', 'kernel_order': 72, 'label': '576.4267.1m1', 'nt': [8, 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, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]]]}
             
                      - 
              id: 28938008
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 18, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.g1', 'kernel_order': 72, 'label': '576.4267.1m2', 'nt': [8, 4], '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, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]]]}
             
                      - 
              id: 28938009
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 19, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.g1', 'kernel_order': 72, 'label': '576.4267.1m3', 'nt': [8, 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, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]]]}
             
                      - 
              id: 28938011
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 20, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.g1', 'kernel_order': 72, 'label': '576.4267.1m4', 'nt': [8, 4], '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, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]]]}
             
                      - 
              id: 28938012
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 21, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.g1', 'kernel_order': 72, 'label': '576.4267.1n1', 'nt': [8, 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, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]]]}
             
                      - 
              id: 28938013
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 22, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.g1', 'kernel_order': 72, 'label': '576.4267.1n2', 'nt': [8, 4], '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, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]]]}
             
                      - 
              id: 28938014
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 23, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.g1', 'kernel_order': 72, 'label': '576.4267.1n3', 'nt': [8, 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, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]]]}
             
                      - 
              id: 28938015
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 24, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.g1', 'kernel_order': 72, 'label': '576.4267.1n4', 'nt': [8, 4], '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, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]]]}
             
                      - 
              id: 28938016
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 25, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.g1', 'kernel_order': 72, 'label': '576.4267.1o1', 'nt': [8, 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, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]]]}
             
                      - 
              id: 28938017
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 26, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.g1', 'kernel_order': 72, 'label': '576.4267.1o2', 'nt': [8, 4], '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, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]]]}
             
                      - 
              id: 28938018
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 27, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.g1', 'kernel_order': 72, 'label': '576.4267.1o3', 'nt': [8, 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, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]]]}
             
                      - 
              id: 28938019
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 28, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.g1', 'kernel_order': 72, 'label': '576.4267.1o4', 'nt': [8, 4], '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, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]]]}
             
                      - 
              id: 28938020
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 29, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.g1', 'kernel_order': 72, 'label': '576.4267.1p1', 'nt': [8, 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, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]]]}
             
                      - 
              id: 28938022
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 30, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.g1', 'kernel_order': 72, 'label': '576.4267.1p2', 'nt': [8, 4], '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, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]]]}
             
                      - 
              id: 28938023
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 31, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.g1', 'kernel_order': 72, 'label': '576.4267.1p3', 'nt': [8, 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, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]]]}
             
                      - 
              id: 28938024
              
{'center': '1.a1', 'center_index': 1, 'center_order': 576, 'counter': 32, 'cyclotomic_n': 8, 'dim': 1, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.1', 'image_order': 8, 'indicator': 0, 'kernel': '8.g1', 'kernel_order': 72, 'label': '576.4267.1p4', 'nt': [8, 4], '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, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]]]}
             
                      - 
              id: 28938025
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 33, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 96, 'label': '576.4267.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 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]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]]]}
             
                      - 
              id: 28938062
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 67, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1', 'kernel_order': 24, 'label': '576.4267.2aa1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[1, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[-2, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[1, 1]], [[1, 1]], [[-2, 1]]]}
             
                      - 
              id: 28938063
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 68, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1', 'kernel_order': 24, 'label': '576.4267.2aa2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[-1, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[2, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]]]}
             
                      - 
              id: 28938064
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 69, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 24, 'label': '576.4267.2ab1', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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]], [[0, 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]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 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, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[0, 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, -1]], [[2, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[0, 0]], [[2, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[1, 1], [1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
             
                      - 
              id: 28938066
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 70, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 24, 'label': '576.4267.2ab2', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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]], [[0, 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]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 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, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 0]], [[0, 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, -1]], [[2, 0]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[0, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[-1, 1], [-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[0, 0]], [[1, 0]], [[1, 0]]]}
             
                      - 
              id: 28938067
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 71, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 24, 'label': '576.4267.2ac1', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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]], [[0, 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]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 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, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[0, 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, -1]], [[-2, 0]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]]]}
             
                      - 
              id: 28938068
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 72, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 24, 'label': '576.4267.2ac2', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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]], [[0, 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]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 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, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[2, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[0, 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, -1]], [[-2, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 0]], [[0, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]]]}
             
                      - 
              id: 28938069
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 73, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 24, 'label': '576.4267.2ad1', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 1], [1, -1]], [[0, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[2, 0]], [[2, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-2, 0]], [[1, 0]]]}
             
                      - 
              id: 28938070
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 74, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 24, 'label': '576.4267.2ad2', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[0, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[1, 0]]]}
             
                      - 
              id: 28938071
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 75, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 24, 'label': '576.4267.2ae1', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 1], [1, -1]], [[0, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[0, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[0, 0]], [[2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[2, 0]], [[-1, 0]]]}
             
                      - 
              id: 28938072
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 76, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 24, 'label': '576.4267.2ae2', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[0, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[2, 0]], [[-1, 0]]]}
             
                      - 
              id: 28938073
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 77, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 24, 'label': '576.4267.2af1', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[2, 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]], [[0, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 0]], [[1, 0]]]}
             
                      - 
              id: 28938074
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 78, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 24, 'label': '576.4267.2af2', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[2, 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]], [[0, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 1], [1, -1]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]]]}
             
                      - 
              id: 28938075
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 79, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 24, 'label': '576.4267.2ag1', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[2, 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]], [[0, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[0, 0]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]]]}
             
                      - 
              id: 28938077
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 80, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 24, 'label': '576.4267.2ag2', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[2, 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]], [[0, 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, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 0]], [[2, 0]], [[0, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]]]}
             
                      - 
              id: 28938078
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 81, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 24, 'label': '576.4267.2ah1', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 1], [1, -1]], [[-2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[-2, 0]]]}
             
                      - 
              id: 28938079
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 82, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 24, 'label': '576.4267.2ah2', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[2, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[1, 0]], [[-2, 0]]]}
             
                      - 
              id: 28938080
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 83, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 24, 'label': '576.4267.2ai1', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[2, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[2, 0]]]}
             
                      - 
              id: 28938081
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 84, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 24, 'label': '576.4267.2ai2', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]], [[0, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[-1, 1], [-1, -1]], [[-1, 0]], [[2, 0]]]}
             
                      - 
              id: 28938082
              
{'center': '4.e1', 'center_index': 4, 'center_order': 144, 'counter': 85, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '32.38', 'image_order': 32, 'indicator': 0, 'kernel': '32.c1', 'kernel_order': 18, 'label': '576.4267.2aj1', 'nt': [16, 16], 'q_character': None, 'values': [[[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, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[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, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[2, 1]], [[-2, 1]], [[-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]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[2, 3]], [[2, 3]], [[0, 0]], [[2, 3]], [[0, 0]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[-2, 3]], [[2, 1]], [[0, 0]], [[2, 3]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 3]], [[-2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[2, 3]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 3]], [[-2, 3]]]}
             
                      - 
              id: 28938083
              
{'center': '4.e1', 'center_index': 4, 'center_order': 144, 'counter': 86, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '32.38', 'image_order': 32, 'indicator': 0, 'kernel': '32.c1', 'kernel_order': 18, 'label': '576.4267.2aj2', 'nt': [16, 4], 'q_character': None, 'values': [[[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, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[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, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[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]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[2, 3]], [[-2, 1]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[-2, 3]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 3]], [[0, 0]], [[2, 1]], [[2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[-2, 1]], [[2, 1]]]}
             
                      - 
              id: 28938084
              
{'center': '4.e1', 'center_index': 4, 'center_order': 144, 'counter': 87, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '32.38', 'image_order': 32, 'indicator': 0, 'kernel': '32.c1', 'kernel_order': 18, 'label': '576.4267.2aj3', 'nt': [16, 16], 'q_character': None, 'values': [[[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, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[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, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[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]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3]], [[-2, 3]], [[-2, 3]], [[0, 0]], [[-2, 3]], [[0, 0]], [[2, 3]], [[2, 1]], [[-2, 3]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[2, 3]], [[-2, 1]], [[0, 0]], [[-2, 3]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 3]], [[2, 1]], [[2, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[-2, 3]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 3]], [[2, 3]]]}
             
                      - 
              id: 28938085
              
{'center': '4.e1', 'center_index': 4, 'center_order': 144, 'counter': 88, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '32.38', 'image_order': 32, 'indicator': 0, 'kernel': '32.c1', 'kernel_order': 18, 'label': '576.4267.2aj4', 'nt': [16, 4], 'q_character': None, 'values': [[[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, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[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, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[2, 3]], [[-2, 3]], [[-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]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[0, 0]], [[0, 0]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[2, 3]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 3]], [[0, 0]], [[-2, 1]], [[-2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[2, 3]], [[0, 0]], [[2, 1]], [[-2, 1]]]}
             
                      - 
              id: 28938086
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 89, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 12, 'label': '576.4267.2ak1', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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]], [[0, 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]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 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, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[0, 0]], [[-2, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[0, 0]], [[1, 0], [-2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-2, 3]], [[-1, 0], [2, 2]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[0, 0]], [[-2, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 3]], [[2, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-2, 3]], [[-1, 0], [2, 2]], [[2, 3]], [[1, 3]], [[1, 3]], [[2, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[2, 3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[1, 3]], [[0, 0]], [[1, 3]], [[1, 3]]]}
             
                      - 
              id: 28938088
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 90, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 12, 'label': '576.4267.2ak2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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]], [[0, 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]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 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, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 3]], [[1, 3]], [[0, 0]], [[2, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[0, 0]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[2, 3]], [[1, 0], [-2, 2]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[0, 0]], [[2, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 3]], [[-2, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[2, 3]], [[1, 0], [-2, 2]], [[-2, 3]], [[-1, 3]], [[-1, 3]], [[-2, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-2, 3]], [[1, 3]], [[0, 0]], [[0, 0]], [[-1, 3]], [[0, 0]], [[-1, 3]], [[-1, 3]]]}
             
                      - 
              id: 28938089
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 91, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 12, 'label': '576.4267.2ak3', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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]], [[0, 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]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 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, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[0, 0]], [[-2, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[0, 0]], [[-1, 0], [2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-2, 3]], [[1, 0], [-2, 2]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[0, 0]], [[-2, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[1, 3]], [[2, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-2, 3]], [[1, 0], [-2, 2]], [[2, 3]], [[1, 3]], [[1, 3]], [[2, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[2, 3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[1, 3]], [[0, 0]], [[1, 3]], [[1, 3]]]}
             
                      - 
              id: 28938090
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 92, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 12, 'label': '576.4267.2ak4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 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]], [[0, 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]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 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, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[-1, 3]], [[1, 3]], [[0, 0]], [[2, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[0, 0]], [[1, 0], [-2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[2, 3]], [[-1, 0], [2, 2]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[0, 0]], [[2, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[-1, 3]], [[-2, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[2, 3]], [[-1, 0], [2, 2]], [[-2, 3]], [[-1, 3]], [[-1, 3]], [[-2, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-2, 3]], [[1, 3]], [[0, 0]], [[0, 0]], [[-1, 3]], [[0, 0]], [[-1, 3]], [[-1, 3]]]}
             
                      - 
              id: 28938091
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 93, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 12, 'label': '576.4267.2al1', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-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]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 3]], [[2, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[0, 0]], [[-2, 3]], [[1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[0, 0]], [[2, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[0, 0]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[0, 0]], [[2, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[2, 3]], [[-2, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[0, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[-2, 3]], [[1, 3]], [[-1, 3]], [[0, 0]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[-2, 3]], [[1, 3]]]}
             
                      - 
              id: 28938092
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 94, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 12, 'label': '576.4267.2al2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[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]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 3]], [[-2, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[0, 0]], [[2, 3]], [[-1, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[0, 0]], [[-2, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[0, 0]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[0, 0]], [[-2, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[-2, 3]], [[2, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[0, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[0, 0]], [[0, 0]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[2, 3]], [[-1, 3]], [[1, 3]], [[0, 0]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[2, 3]], [[-1, 3]]]}
             
                      - 
              id: 28938093
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 95, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 12, 'label': '576.4267.2al3', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-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]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[1, 3]], [[2, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[0, 0]], [[-2, 3]], [[1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[0, 0]], [[2, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[0, 0]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[0, 0]], [[2, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[2, 3]], [[-2, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[0, 0]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[-2, 3]], [[1, 3]], [[-1, 3]], [[0, 0]], [[1, 0], [-2, 2]], [[-1, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[-2, 3]], [[1, 3]]]}
             
                      - 
              id: 28938094
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 96, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 12, 'label': '576.4267.2al4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[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]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[-1, 3]], [[-2, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[0, 0]], [[2, 3]], [[-1, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[0, 0]], [[-2, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[0, 0]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[0, 0]], [[-2, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[-2, 3]], [[2, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[0, 0]], [[1, 3]], [[-1, 3]], [[1, 3]], [[0, 0]], [[0, 0]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[2, 3]], [[-1, 3]], [[1, 3]], [[0, 0]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[2, 3]], [[-1, 3]]]}
             
                      - 
              id: 28938095
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 97, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 12, 'label': '576.4267.2am1', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[2, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[2, 3]], [[1, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 3]], [[-2, 3]], [[0, 0]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[0, 0]], [[-1, 0], [2, 2]], [[2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[0, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-2, 3]], [[0, 0]], [[-1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[-2, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[0, 0]], [[-1, 3]], [[1, 3]], [[-2, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[0, 0]], [[-1, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 3]]]}
             
                      - 
              id: 28938096
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 98, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 12, 'label': '576.4267.2am2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-2, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-2, 3]], [[-1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[-1, 3]], [[2, 3]], [[0, 0]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[0, 0]], [[1, 0], [-2, 2]], [[-2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[-1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[0, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[2, 3]], [[0, 0]], [[1, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[2, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[0, 0]], [[1, 3]], [[-1, 3]], [[2, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[0, 0]], [[1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[-1, 3]]]}
             
                      - 
              id: 28938097
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 99, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 12, 'label': '576.4267.2am3', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[2, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[2, 3]], [[1, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 3]], [[-2, 3]], [[0, 0]], [[-1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[0, 0]], [[1, 0], [-2, 2]], [[2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[0, 0]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-2, 3]], [[0, 0]], [[-1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[-2, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[0, 0]], [[-1, 3]], [[1, 3]], [[-2, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[0, 0]], [[-1, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 3]]]}
             
                      - 
              id: 28937932
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 100, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 12, 'label': '576.4267.2am4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-2, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-2, 3]], [[-1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 3]], [[2, 3]], [[0, 0]], [[1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[0, 0]], [[-1, 0], [2, 2]], [[-2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[0, 0]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[2, 3]], [[0, 0]], [[1, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[2, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[0, 0]], [[1, 3]], [[-1, 3]], [[2, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[0, 0]], [[1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 3]]]}
             
                      - 
              id: 28937933
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 101, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 12, 'label': '576.4267.2an1', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3]], [[-2, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[-2, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[2, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[0, 0]], [[-1, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[1, 3]], [[0, 0]], [[2, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[2, 3]], [[1, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[2, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-2, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[-2, 3]]]}
             
                      - 
              id: 28937934
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 102, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 12, 'label': '576.4267.2an2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[2, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3]], [[2, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[2, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[-2, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[0, 0]], [[1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[-1, 3]], [[0, 0]], [[-2, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[-2, 3]], [[-1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[-2, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[2, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[2, 3]]]}
             
                      - 
              id: 28937935
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 103, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 12, 'label': '576.4267.2an3', 'nt': [24, 19], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3]], [[-2, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[-2, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[2, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[0, 0]], [[-1, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 3]], [[0, 0]], [[2, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[2, 3]], [[1, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[2, 3]], [[1, 0], [-2, 2]], [[-1, 0], [2, 2]], [[-2, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[-2, 3]]]}
             
                      - 
              id: 28937936
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 104, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.37', 'image_order': 48, 'indicator': 0, 'kernel': '48.c1', 'kernel_order': 12, 'label': '576.4267.2an4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[2, 3]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[2, 3]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[2, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 1], [-1, -1]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3]], [[2, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[2, 3]], [[-1, 3]], [[-1, 0], [2, 2]], [[-2, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[0, 0]], [[1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[1, 0], [-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3]], [[-1, 0], [2, 2]], [[1, 3]], [[-1, 3]], [[0, 0]], [[-2, 3]], [[-1, 0], [2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[-2, 3]], [[-1, 3]], [[1, 3]], [[1, 0], [-2, 2]], [[1, 0], [-2, 2]], [[-1, 3]], [[1, 0], [-2, 2]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 0], [2, 2]], [[-1, 0], [2, 2]], [[1, 3]], [[-2, 3]], [[-1, 0], [2, 2]], [[1, 0], [-2, 2]], [[2, 3]], [[1, 0], [-2, 2]], [[-1, 3]], [[2, 3]]]}
             
                      - 
              id: 28937937
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 105, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2ao1', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 0]], [[-2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-2, 0]], [[1, 2]], [[1, 0]], [[-2, 2]], [[1, 2]], [[2, 2]], [[1, 2]], [[2, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-2, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[1, 2]], [[-2, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[2, 0]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[2, 0]], [[2, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[2, 1]], [[2, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[2, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-2, 1]], [[1, 3]], [[2, 3]], [[-2, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[2, 1]], [[2, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[2, 3]], [[1, 3]], [[-1, 1]], [[-2, 3]], [[-1, 1]], [[-2, 3]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[-1, 3]], [[1, 3]], [[2, 1]], [[1, 1]], [[-2, 1]], [[-2, 3]], [[1, 1]], [[-2, 1]], [[-1, 3]], [[1, 3]]]}
             
                      - 
              id: 28937938
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 106, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2ao2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 0]], [[2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-2, 0]], [[-1, 2]], [[1, 0]], [[2, 2]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[-2, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[2, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[2, 2]], [[1, 2]], [[-1, 2]], [[-2, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 2]], [[2, 0]], [[1, 2]], [[2, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[2, 0]], [[-2, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-2, 3]], [[-2, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-2, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[2, 3]], [[-1, 1]], [[-2, 1]], [[2, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-2, 3]], [[-2, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-2, 1]], [[-1, 1]], [[1, 3]], [[2, 1]], [[1, 3]], [[2, 1]], [[1, 3]], [[-1, 3]], [[2, 3]], [[1, 1]], [[-1, 1]], [[-2, 3]], [[-1, 3]], [[2, 3]], [[2, 1]], [[-1, 3]], [[2, 3]], [[1, 1]], [[-1, 1]]]}
             
                      - 
              id: 28937939
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 107, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2ao3', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 0]], [[-2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[-2, 0]], [[1, 2]], [[1, 0]], [[-2, 2]], [[1, 2]], [[2, 2]], [[1, 2]], [[2, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-2, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[1, 2]], [[-2, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[2, 0]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[2, 0]], [[2, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-2, 1]], [[-2, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-2, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[2, 1]], [[-1, 3]], [[-2, 3]], [[2, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-2, 1]], [[-2, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-2, 3]], [[-1, 3]], [[1, 1]], [[2, 3]], [[1, 1]], [[2, 3]], [[1, 1]], [[-1, 1]], [[2, 1]], [[1, 3]], [[-1, 3]], [[-2, 1]], [[-1, 1]], [[2, 1]], [[2, 3]], [[-1, 1]], [[2, 1]], [[1, 3]], [[-1, 3]]]}
             
                      - 
              id: 28937940
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 108, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2ao4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 0]], [[2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-2, 0]], [[-1, 2]], [[1, 0]], [[2, 2]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[-2, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[2, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[2, 2]], [[1, 2]], [[-1, 2]], [[-2, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 2]], [[2, 0]], [[1, 2]], [[2, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[2, 0]], [[-2, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[2, 3]], [[2, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[2, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-2, 3]], [[1, 1]], [[2, 1]], [[-2, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[2, 3]], [[2, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[2, 1]], [[1, 1]], [[-1, 3]], [[-2, 1]], [[-1, 3]], [[-2, 1]], [[-1, 3]], [[1, 3]], [[-2, 3]], [[-1, 1]], [[1, 1]], [[2, 3]], [[1, 3]], [[-2, 3]], [[-2, 1]], [[1, 3]], [[-2, 3]], [[-1, 1]], [[1, 1]]]}
             
                      - 
              id: 28937941
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 109, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2ap1', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[2, 0]], [[-1, 2]], [[-1, 0]], [[2, 2]], [[-1, 2]], [[2, 2]], [[1, 2]], [[2, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[2, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-2, 2]], [[-1, 2]], [[1, 2]], [[2, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 2]], [[-2, 0]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-2, 0]], [[-2, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-2, 1]], [[2, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-2, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-2, 1]], [[-1, 3]], [[-2, 3]], [[2, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-2, 1]], [[2, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[2, 3]], [[-1, 3]], [[1, 1]], [[-2, 3]], [[1, 1]], [[-2, 3]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[1, 3]], [[-1, 3]], [[2, 1]], [[1, 1]], [[2, 1]], [[2, 3]], [[1, 1]], [[2, 1]], [[-1, 3]], [[1, 3]]]}
             
                      - 
              id: 28937943
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 110, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2ap2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 0]], [[-2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[2, 0]], [[1, 2]], [[-1, 0]], [[-2, 2]], [[1, 2]], [[-2, 2]], [[-1, 2]], [[-2, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-2, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[2, 2]], [[1, 2]], [[-1, 2]], [[2, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 2]], [[-2, 0]], [[1, 2]], [[2, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-2, 0]], [[2, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[2, 3]], [[-2, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[2, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[2, 3]], [[1, 1]], [[2, 1]], [[-2, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[2, 3]], [[-2, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-2, 1]], [[1, 1]], [[-1, 3]], [[2, 1]], [[-1, 3]], [[2, 1]], [[1, 3]], [[-1, 3]], [[2, 3]], [[-1, 1]], [[1, 1]], [[-2, 3]], [[-1, 3]], [[-2, 3]], [[-2, 1]], [[-1, 3]], [[-2, 3]], [[1, 1]], [[-1, 1]]]}
             
                      - 
              id: 28937944
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 111, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2ap3', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[2, 0]], [[-1, 2]], [[-1, 0]], [[2, 2]], [[-1, 2]], [[2, 2]], [[1, 2]], [[2, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[2, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-2, 2]], [[-1, 2]], [[1, 2]], [[2, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 2]], [[-2, 0]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-2, 0]], [[-2, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[2, 1]], [[-2, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[2, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[2, 1]], [[1, 3]], [[2, 3]], [[-2, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[2, 1]], [[-2, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-2, 3]], [[1, 3]], [[-1, 1]], [[2, 3]], [[-1, 1]], [[2, 3]], [[1, 1]], [[-1, 1]], [[2, 1]], [[-1, 3]], [[1, 3]], [[-2, 1]], [[-1, 1]], [[-2, 1]], [[-2, 3]], [[-1, 1]], [[-2, 1]], [[1, 3]], [[-1, 3]]]}
             
                      - 
              id: 28937945
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 112, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2ap4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 0]], [[-2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[2, 0]], [[1, 2]], [[-1, 0]], [[-2, 2]], [[1, 2]], [[-2, 2]], [[-1, 2]], [[-2, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-2, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[2, 2]], [[1, 2]], [[-1, 2]], [[2, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 2]], [[-2, 0]], [[1, 2]], [[2, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-2, 0]], [[2, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-2, 3]], [[2, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-2, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-2, 3]], [[-1, 1]], [[-2, 1]], [[2, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-2, 3]], [[2, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[2, 1]], [[-1, 1]], [[1, 3]], [[-2, 1]], [[1, 3]], [[-2, 1]], [[-1, 3]], [[1, 3]], [[-2, 3]], [[1, 1]], [[-1, 1]], [[2, 3]], [[1, 3]], [[2, 3]], [[2, 1]], [[1, 3]], [[2, 3]], [[-1, 1]], [[1, 1]]]}
             
                      - 
              id: 28937946
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 113, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2aq1', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 0]], [[-2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[1, 2]], [[-2, 2]], [[1, 0]], [[1, 0]], [[-2, 2]], [[-2, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[2, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-2, 2]], [[1, 0]], [[-2, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[2, 2]], [[1, 2]], [[-1, 2]], [[-2, 2]], [[2, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[2, 0]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-2, 3]], [[-1, 1]], [[-1, 3]], [[2, 1]], [[-2, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-2, 1]], [[-2, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-2, 3]], [[-1, 3]], [[1, 3]], [[-2, 1]], [[2, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[2, 3]], [[-2, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[2, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-2, 3]], [[2, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[2, 1]], [[1, 1]], [[1, 1]], [[2, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[2, 3]], [[1, 3]]]}
             
                      - 
              id: 28937947
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 114, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2aq2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 0]], [[2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-1, 2]], [[2, 2]], [[1, 0]], [[1, 0]], [[2, 2]], [[-2, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-2, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[2, 2]], [[1, 0]], [[-2, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-2, 2]], [[-1, 2]], [[1, 2]], [[2, 2]], [[-2, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[2, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[2, 1]], [[1, 3]], [[1, 1]], [[-2, 3]], [[2, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[2, 3]], [[2, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[2, 1]], [[1, 1]], [[-1, 1]], [[2, 3]], [[-2, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[2, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-2, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[2, 1]], [[-2, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-2, 3]], [[-1, 3]], [[-1, 3]], [[-2, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-2, 1]], [[-1, 1]]]}
             
                      - 
              id: 28937948
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 115, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2aq3', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 0]], [[-2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[1, 2]], [[-2, 2]], [[1, 0]], [[1, 0]], [[-2, 2]], [[-2, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[2, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-2, 2]], [[1, 0]], [[-2, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[2, 2]], [[1, 2]], [[-1, 2]], [[-2, 2]], [[2, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[2, 0]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[2, 3]], [[1, 1]], [[1, 3]], [[-2, 1]], [[2, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[2, 1]], [[2, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[2, 3]], [[1, 3]], [[-1, 3]], [[2, 1]], [[-2, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-2, 3]], [[2, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-2, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[2, 3]], [[-2, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[-2, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-2, 3]], [[-1, 3]]]}
             
                      - 
              id: 28937949
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 116, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2aq4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 0]], [[2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-1, 2]], [[2, 2]], [[1, 0]], [[1, 0]], [[2, 2]], [[-2, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-2, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[2, 2]], [[1, 0]], [[-2, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-2, 2]], [[-1, 2]], [[1, 2]], [[2, 2]], [[-2, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[2, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[-1, 3]], [[-1, 1]], [[2, 3]], [[-2, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-2, 3]], [[-2, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[-2, 3]], [[2, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[-2, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[2, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-2, 1]], [[2, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[2, 3]], [[1, 3]], [[1, 3]], [[2, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[2, 1]], [[1, 1]]]}
             
                      - 
              id: 28937950
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 117, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2ar1', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-1, 2]], [[2, 2]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[2, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[2, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-2, 2]], [[-1, 0]], [[2, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[2, 2]], [[1, 2]], [[-1, 2]], [[-2, 2]], [[-2, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[-2, 0]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-2, 3]], [[1, 1]], [[-1, 3]], [[-2, 1]], [[-2, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[2, 1]], [[-2, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[2, 3]], [[1, 3]], [[-1, 3]], [[2, 1]], [[2, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[2, 3]], [[-2, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-2, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[2, 3]], [[-2, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[2, 1]], [[1, 1]], [[1, 1]], [[-2, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[2, 3]], [[1, 3]]]}
             
                      - 
              id: 28937951
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 118, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2ar2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 0]], [[-2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[1, 2]], [[-2, 2]], [[-1, 0]], [[-1, 0]], [[-2, 2]], [[2, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-2, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[2, 2]], [[-1, 0]], [[2, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-2, 2]], [[-1, 2]], [[1, 2]], [[2, 2]], [[2, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-2, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[2, 1]], [[-1, 3]], [[1, 1]], [[2, 3]], [[2, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-2, 3]], [[2, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[-2, 3]], [[-2, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[2, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[2, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-2, 1]], [[2, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-2, 3]], [[-1, 3]], [[-1, 3]], [[2, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-2, 1]], [[-1, 1]]]}
             
                      - 
              id: 28937952
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 119, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2ar3', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-1, 2]], [[2, 2]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[2, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[2, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[-2, 2]], [[-1, 0]], [[2, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[2, 2]], [[1, 2]], [[-1, 2]], [[-2, 2]], [[-2, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[-2, 0]], [[1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[2, 3]], [[-1, 1]], [[1, 3]], [[2, 1]], [[2, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-2, 1]], [[2, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-2, 3]], [[-1, 3]], [[1, 3]], [[-2, 1]], [[-2, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-2, 3]], [[2, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[2, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-2, 3]], [[2, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[2, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-2, 3]], [[-1, 3]]]}
             
                      - 
              id: 28937954
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 120, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2ar4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 0]], [[-2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[1, 2]], [[-2, 2]], [[-1, 0]], [[-1, 0]], [[-2, 2]], [[2, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-2, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[2, 2]], [[-1, 0]], [[2, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-2, 2]], [[-1, 2]], [[1, 2]], [[2, 2]], [[2, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[1, 3]], [[-1, 1]], [[-2, 3]], [[-2, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[2, 3]], [[-2, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[2, 1]], [[1, 1]], [[-1, 1]], [[2, 3]], [[2, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[-2, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-2, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[2, 1]], [[-2, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[2, 3]], [[1, 3]], [[1, 3]], [[-2, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[2, 1]], [[1, 1]]]}
             
                      - 
              id: 28937955
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 121, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2as1', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 0]], [[-2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[2, 2]], [[1, 0]], [[1, 2]], [[2, 0]], [[2, 2]], [[-2, 2]], [[-2, 0]], [[2, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-2, 2]], [[2, 2]], [[-2, 0]], [[1, 2]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[2, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-2, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[2, 3]], [[2, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[-2, 1]], [[-1, 3]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[2, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-2, 3]], [[2, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[2, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[2, 1]], [[1, 3]], [[-1, 1]], [[-2, 1]], [[1, 1]], [[-1, 3]], [[-2, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]]]}
             
                      - 
              id: 28937956
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 122, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2as2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 0]], [[2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-2, 2]], [[1, 0]], [[-1, 2]], [[2, 0]], [[-2, 2]], [[2, 2]], [[-2, 0]], [[-2, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[2, 2]], [[-2, 2]], [[-2, 0]], [[-1, 2]], [[2, 2]], [[2, 2]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[2, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-2, 1]], [[-2, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[2, 3]], [[1, 1]], [[2, 3]], [[-2, 3]], [[2, 3]], [[2, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-2, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[2, 1]], [[-2, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-2, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-2, 3]], [[-1, 1]], [[1, 3]], [[2, 3]], [[-1, 3]], [[1, 1]], [[2, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]]]}
             
                      - 
              id: 28937957
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 123, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2as3', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 0]], [[-2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[2, 2]], [[1, 0]], [[1, 2]], [[2, 0]], [[2, 2]], [[-2, 2]], [[-2, 0]], [[2, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-2, 2]], [[2, 2]], [[-2, 0]], [[1, 2]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-2, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[2, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-2, 3]], [[-2, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[1, 3]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-2, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[2, 3]], [[-2, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-2, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-2, 1]], [[-1, 3]], [[1, 1]], [[2, 1]], [[-1, 1]], [[1, 3]], [[2, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]]]}
             
                      - 
              id: 28937958
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 124, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2as4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 0]], [[2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-2, 2]], [[1, 0]], [[-1, 2]], [[2, 0]], [[-2, 2]], [[2, 2]], [[-2, 0]], [[-2, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[2, 2]], [[-2, 2]], [[-2, 0]], [[-1, 2]], [[2, 2]], [[2, 2]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[2, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[2, 1]], [[2, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[-2, 3]], [[-1, 1]], [[-2, 3]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[2, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-2, 1]], [[2, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[2, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[2, 3]], [[1, 1]], [[-1, 3]], [[-2, 3]], [[1, 3]], [[-1, 1]], [[-2, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]]]}
             
                      - 
              id: 28937959
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 125, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2at1', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[2, 2]], [[-1, 0]], [[-1, 2]], [[-2, 0]], [[2, 2]], [[2, 2]], [[2, 0]], [[-2, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[1, 2]], [[-2, 2]], [[2, 2]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[2, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-2, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[2, 3]], [[-2, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[2, 1]], [[1, 3]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[-2, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-2, 3]], [[-2, 3]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[2, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[-2, 1]], [[1, 3]], [[-1, 1]], [[-2, 1]], [[1, 1]], [[1, 3]], [[2, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]]]}
             
                      - 
              id: 28937960
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 126, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2at2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 0]], [[-2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-2, 2]], [[-1, 0]], [[1, 2]], [[-2, 0]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[2, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[2, 2]], [[2, 0]], [[-1, 2]], [[2, 2]], [[-2, 2]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-2, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[2, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-2, 1]], [[2, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-2, 3]], [[-1, 1]], [[2, 3]], [[-2, 3]], [[-2, 3]], [[-2, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[2, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[2, 1]], [[2, 1]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-2, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[2, 3]], [[-1, 1]], [[1, 3]], [[2, 3]], [[-1, 3]], [[-1, 1]], [[-2, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]]]}
             
                      - 
              id: 28937961
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 127, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2at3', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[2, 2]], [[-1, 0]], [[-1, 2]], [[-2, 0]], [[2, 2]], [[2, 2]], [[2, 0]], [[-2, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[1, 2]], [[-2, 2]], [[2, 2]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 0]], [[-2, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[2, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-2, 3]], [[2, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[-1, 3]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[2, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[2, 3]], [[2, 3]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-2, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[2, 1]], [[-1, 3]], [[1, 1]], [[2, 1]], [[-1, 1]], [[-1, 3]], [[-2, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]]]}
             
                      - 
              id: 28937962
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 128, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2at4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 0]], [[-2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[1, 2]], [[-1, 2]], [[1, 2]], [[1, 2]], [[-2, 2]], [[-1, 0]], [[1, 2]], [[-2, 0]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[2, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[2, 2]], [[2, 0]], [[-1, 2]], [[2, 2]], [[-2, 2]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[1, 0]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[2, 1]], [[-2, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[2, 3]], [[1, 1]], [[-2, 3]], [[2, 3]], [[2, 3]], [[2, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[-2, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-2, 1]], [[-2, 1]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[2, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[-2, 3]], [[1, 1]], [[-1, 3]], [[-2, 3]], [[1, 3]], [[1, 1]], [[2, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]]]}
             
                      - 
              id: 28937963
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 129, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2au1', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 0]], [[-2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-2, 2]], [[1, 2]], [[-2, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[-2, 2]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-2, 0]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[2, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-2, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[2, 2]], [[1, 2]], [[-1, 2]], [[2, 2]], [[-1, 0]], [[-1, 2]], [[2, 0]], [[2, 2]], [[-1, 0]], [[-1, 3]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[1, 3]], [[2, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[2, 1]], [[-1, 3]], [[-1, 1]], [[2, 1]], [[-1, 3]], [[1, 1]], [[1, 1]], [[1, 1]], [[2, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[2, 1]], [[-2, 3]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[2, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-2, 1]], [[1, 1]], [[1, 3]], [[-2, 1]], [[1, 1]], [[-1, 3]], [[-2, 3]]]}
             
                      - 
              id: 28937965
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 130, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2au2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 0]], [[2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[2, 2]], [[-1, 2]], [[-2, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[2, 2]], [[1, 2]], [[2, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-2, 0]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[2, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[1, 2]], [[-2, 2]], [[-1, 0]], [[1, 2]], [[2, 0]], [[-2, 2]], [[-1, 0]], [[1, 1]], [[2, 1]], [[2, 1]], [[-2, 3]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[-2, 3]], [[1, 1]], [[1, 3]], [[-2, 3]], [[1, 1]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[-2, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[2, 3]], [[2, 3]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-2, 3]], [[2, 1]], [[1, 3]], [[1, 3]], [[1, 1]], [[-2, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[2, 3]], [[-1, 3]], [[-1, 1]], [[2, 3]], [[-1, 3]], [[1, 1]], [[2, 1]]]}
             
                      - 
              id: 28937966
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 131, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2au3', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[2, 2]], [[-2, 0]], [[-2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-2, 2]], [[1, 2]], [[-2, 0]], [[1, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[-2, 2]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[-2, 0]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[2, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[-2, 2]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[1, 2]], [[2, 2]], [[1, 2]], [[-1, 2]], [[2, 2]], [[-1, 0]], [[-1, 2]], [[2, 0]], [[2, 2]], [[-1, 0]], [[1, 3]], [[2, 3]], [[2, 3]], [[-2, 1]], [[-1, 3]], [[-2, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[-2, 1]], [[1, 3]], [[1, 1]], [[-2, 1]], [[1, 3]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-2, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[2, 1]], [[2, 1]], [[-2, 3]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-2, 1]], [[2, 3]], [[1, 1]], [[1, 1]], [[1, 3]], [[-2, 3]], [[1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[2, 1]], [[-1, 1]], [[-1, 3]], [[2, 1]], [[-1, 1]], [[1, 3]], [[2, 3]]]}
             
                      - 
              id: 28937967
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 132, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2au4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[-2, 0]], [[2, 2]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[2, 2]], [[-1, 2]], [[-2, 0]], [[1, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[2, 2]], [[1, 2]], [[2, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[-2, 0]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-1, 2]], [[1, 2]], [[1, 0]], [[2, 2]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[1, 2]], [[-2, 2]], [[-1, 0]], [[1, 2]], [[2, 0]], [[-2, 2]], [[-1, 0]], [[-1, 1]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[1, 1]], [[2, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[2, 3]], [[-1, 1]], [[-1, 3]], [[2, 3]], [[-1, 1]], [[1, 3]], [[1, 3]], [[1, 3]], [[2, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[2, 3]], [[-2, 1]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[2, 1]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-2, 3]], [[1, 3]], [[1, 1]], [[-2, 3]], [[1, 3]], [[-1, 1]], [[-2, 1]]]}
             
                      - 
              id: 28937968
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 133, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2av1', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 1]], [[2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[2, 2]], [[-1, 2]], [[2, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[2, 2]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[2, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[2, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-2, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[2, 2]], [[1, 2]], [[1, 2]], [[-2, 2]], [[1, 0]], [[1, 2]], [[-2, 0]], [[-2, 2]], [[1, 0]], [[-1, 3]], [[2, 3]], [[2, 3]], [[-2, 1]], [[1, 3]], [[2, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[1, 3]], [[2, 1]], [[-1, 3]], [[1, 1]], [[2, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-2, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[2, 1]], [[2, 1]], [[-2, 3]], [[1, 3]], [[1, 3]], [[-1, 3]], [[1, 1]], [[-2, 1]], [[-2, 3]], [[1, 1]], [[-1, 1]], [[1, 3]], [[2, 3]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 3]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[-1, 3]], [[-2, 1]], [[-1, 1]], [[-1, 3]], [[-2, 3]]]}
             
                      - 
              id: 28937969
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 134, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2av2', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 0]], [[-2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 3]], [[-2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-2, 2]], [[1, 2]], [[2, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-2, 2]], [[1, 2]], [[2, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[2, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[2, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[-1, 2]], [[2, 2]], [[1, 0]], [[-1, 2]], [[-2, 0]], [[2, 2]], [[1, 0]], [[1, 1]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-2, 3]], [[1, 1]], [[-1, 3]], [[-2, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[2, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[2, 3]], [[2, 1]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[-2, 1]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 1]], [[1, 3]], [[2, 3]], [[1, 3]], [[1, 1]], [[2, 3]], [[1, 3]], [[1, 1]], [[2, 1]]]}
             
                      - 
              id: 28937970
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 135, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2av3', 'nt': [24, 32], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 0]], [[2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-2, 3]], [[2, 1]], [[2, 3]], [[-2, 1]], [[2, 3]], [[2, 1]], [[-2, 1]], [[-2, 3]], [[-2, 1]], [[-2, 3]], [[2, 1]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2]], [[2, 2]], [[-1, 2]], [[2, 0]], [[-1, 0]], [[-1, 2]], [[-1, 0]], [[-1, 2]], [[2, 2]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[-1, 2]], [[-1, 2]], [[2, 0]], [[-1, 2]], [[1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[1, 2]], [[1, 2]], [[2, 2]], [[1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-2, 2]], [[1, 2]], [[-1, 2]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 2]], [[1, 0]], [[-1, 2]], [[1, 2]], [[2, 2]], [[1, 2]], [[1, 2]], [[-2, 2]], [[1, 0]], [[1, 2]], [[-2, 0]], [[-2, 2]], [[1, 0]], [[1, 3]], [[-2, 3]], [[-2, 3]], [[2, 1]], [[-1, 3]], [[-2, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-2, 1]], [[1, 3]], [[-1, 1]], [[-2, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[1, 1]], [[2, 3]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 1]], [[1, 1]], [[-1, 3]], [[-2, 1]], [[-2, 1]], [[2, 3]], [[-1, 3]], [[-1, 3]], [[1, 3]], [[-1, 1]], [[2, 1]], [[2, 3]], [[-1, 1]], [[1, 1]], [[-1, 3]], [[-2, 3]], [[1, 1]], [[1, 3]], [[1, 3]], [[-1, 1]], [[-1, 3]], [[-1, 1]], [[-1, 3]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 3]], [[1, 3]], [[1, 1]], [[2, 1]], [[1, 1]], [[1, 3]], [[2, 1]], [[1, 1]], [[1, 3]], [[2, 3]]]}
             
                      - 
              id: 28937971
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 136, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '48.4', 'image_order': 48, 'indicator': 0, 'kernel': '48.d1', 'kernel_order': 12, 'label': '576.4267.2av4', 'nt': [24, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[2, 2]], [[2, 2]], [[2, 0]], [[-2, 2]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[2, 3]], [[-2, 1]], [[-2, 3]], [[2, 3]], [[2, 1]], [[2, 3]], [[2, 1]], [[-2, 3]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2]], [[-2, 2]], [[1, 2]], [[2, 0]], [[-1, 0]], [[1, 2]], [[-1, 0]], [[1, 2]], [[-2, 2]], [[1, 2]], [[2, 2]], [[1, 2]], [[1, 2]], [[1, 2]], [[2, 0]], [[1, 2]], [[1, 0]], [[1, 2]], [[1, 2]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[-1, 2]], [[-1, 2]], [[-1, 0]], [[2, 2]], [[-1, 2]], [[1, 2]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 2]], [[1, 0]], [[1, 2]], [[-1, 2]], [[-2, 2]], [[-1, 2]], [[-1, 2]], [[2, 2]], [[1, 0]], [[-1, 2]], [[-2, 0]], [[2, 2]], [[1, 0]], [[-1, 1]], [[2, 1]], [[2, 1]], [[-2, 3]], [[1, 1]], [[2, 1]], [[1, 1]], [[1, 3]], [[-1, 1]], [[1, 3]], [[1, 1]], [[2, 3]], [[-1, 1]], [[1, 3]], [[2, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-2, 1]], [[1, 3]], [[-1, 3]], [[-1, 3]], [[-1, 1]], [[1, 3]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-1, 3]], [[1, 1]], [[2, 3]], [[2, 3]], [[-2, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 3]], [[-2, 3]], [[-2, 1]], [[1, 3]], [[-1, 3]], [[1, 1]], [[2, 1]], [[-1, 3]], [[-1, 1]], [[-1, 1]], [[1, 3]], [[1, 1]], [[1, 3]], [[1, 1]], [[-1, 3]], [[1, 3]], [[1, 3]], [[1, 1]], [[-1, 1]], [[-1, 3]], [[-2, 3]], [[-1, 3]], [[-1, 1]], [[-2, 3]], [[-1, 3]], [[-1, 1]], [[-2, 1]]]}
             
                      - 
              id: 28937972
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 137, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2aw1', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 9]], [[-2, 3]], [[-2, 9]], [[2, 3]], [[2, 9]], [[2, 3]], [[-2, 3]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[0, 0]], [[1, 0], [-2, 4]], [[-2, 6]], [[1, 6]], [[2, 6]], [[-1, 6]], [[1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[-2, 6]], [[-1, 6]], [[1, 6]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[1, 6]], [[2, 6]], [[1, 6]], [[-1, 6]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[1, 9]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[0, 0]], [[2, 9]], [[-1, 1], [-1, 5]], [[1, 9]], [[1, 3]], [[-1, 9]], [[1, 1], [1, 5]], [[-1, 3]], [[0, 0]], [[-1, 1], [-1, 5]], [[1, 3]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[1, 3]], [[-1, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[2, 3]], [[1, 3], [-2, 7]], [[0, 0]], [[0, 0]], [[1, 1], [1, 5]], [[-1, 3]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[1, 9]], [[1, 3], [-2, 7]], [[1, 9]], [[-1, 3]], [[-1, 1], [-1, 5]], [[-1, 9]], [[0, 0]], [[-2, 3]], [[1, 3], [-2, 7]], [[1, 9]], [[1, 3]], [[-2, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[-2, 9]], [[-1, 1], [-1, 5]], [[2, 9]], [[1, 3]], [[-1, 3]], [[-2, 3]], [[-1, 3], [2, 7]], [[-1, 3], [2, 7]], [[2, 3]], [[1, 3]], [[0, 0]], [[0, 0]], [[-1, 3]], [[0, 0]], [[-1, 9]], [[1, 9]]]}
             
                      - 
              id: 28937973
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 138, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2aw2', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 3]], [[2, 9]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[-2, 9]], [[2, 9]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 0], [2, 4]], [[2, 6]], [[-1, 6]], [[-2, 6]], [[1, 6]], [[-1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[2, 6]], [[1, 6]], [[-1, 6]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[-1, 6]], [[-2, 6]], [[-1, 6]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-1, 3]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[1, 3]], [[1, 3]], [[1, 3]], [[0, 0]], [[-2, 3]], [[-1, 3], [2, 7]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[1, 3], [-2, 7]], [[1, 9]], [[0, 0]], [[-1, 3], [2, 7]], [[-1, 9]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[-1, 9]], [[1, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[-2, 9]], [[1, 1], [1, 5]], [[0, 0]], [[0, 0]], [[1, 3], [-2, 7]], [[1, 9]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[-1, 3]], [[1, 1], [1, 5]], [[-1, 3]], [[1, 9]], [[-1, 3], [2, 7]], [[1, 3]], [[0, 0]], [[2, 9]], [[1, 1], [1, 5]], [[-1, 3]], [[-1, 9]], [[2, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[2, 3]], [[-1, 3], [2, 7]], [[-2, 3]], [[-1, 9]], [[1, 9]], [[2, 9]], [[-1, 1], [-1, 5]], [[-1, 1], [-1, 5]], [[-2, 9]], [[-1, 9]], [[0, 0]], [[0, 0]], [[1, 9]], [[0, 0]], [[1, 3]], [[-1, 3]]]}
             
                      - 
              id: 28937974
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 139, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2aw3', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 9]], [[-2, 3]], [[-2, 9]], [[2, 3]], [[2, 9]], [[2, 3]], [[-2, 3]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[0, 0]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 0], [2, 4]], [[-2, 6]], [[1, 6]], [[2, 6]], [[-1, 6]], [[1, 6]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[-2, 6]], [[-1, 6]], [[1, 6]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 6]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[1, 6]], [[2, 6]], [[1, 6]], [[-1, 6]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 9]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[-1, 9]], [[-1, 9]], [[-1, 9]], [[0, 0]], [[2, 9]], [[1, 1], [1, 5]], [[1, 9]], [[1, 3]], [[-1, 9]], [[-1, 1], [-1, 5]], [[-1, 3]], [[0, 0]], [[1, 1], [1, 5]], [[1, 3]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[1, 3]], [[-1, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[2, 3]], [[-1, 3], [2, 7]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 5]], [[-1, 3]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[1, 9]], [[-1, 3], [2, 7]], [[1, 9]], [[-1, 3]], [[1, 1], [1, 5]], [[-1, 9]], [[0, 0]], [[-2, 3]], [[-1, 3], [2, 7]], [[1, 9]], [[1, 3]], [[-2, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[-2, 9]], [[1, 1], [1, 5]], [[2, 9]], [[1, 3]], [[-1, 3]], [[-2, 3]], [[1, 3], [-2, 7]], [[1, 3], [-2, 7]], [[2, 3]], [[1, 3]], [[0, 0]], [[0, 0]], [[-1, 3]], [[0, 0]], [[-1, 9]], [[1, 9]]]}
             
                      - 
              id: 28937976
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 140, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2aw4', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 3]], [[2, 9]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[-2, 9]], [[2, 9]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 0], [-2, 4]], [[2, 6]], [[-1, 6]], [[-2, 6]], [[1, 6]], [[-1, 6]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[2, 6]], [[1, 6]], [[-1, 6]], [[0, 0]], [[1, 2], [1, -2]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 6]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[-1, 6]], [[-2, 6]], [[-1, 6]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 3]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[1, 3]], [[1, 3]], [[1, 3]], [[0, 0]], [[-2, 3]], [[1, 3], [-2, 7]], [[-1, 3]], [[-1, 9]], [[1, 3]], [[-1, 3], [2, 7]], [[1, 9]], [[0, 0]], [[1, 3], [-2, 7]], [[-1, 9]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[-1, 9]], [[1, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[-2, 9]], [[-1, 1], [-1, 5]], [[0, 0]], [[0, 0]], [[-1, 3], [2, 7]], [[1, 9]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[-1, 3]], [[-1, 1], [-1, 5]], [[-1, 3]], [[1, 9]], [[1, 3], [-2, 7]], [[1, 3]], [[0, 0]], [[2, 9]], [[-1, 1], [-1, 5]], [[-1, 3]], [[-1, 9]], [[2, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[2, 3]], [[1, 3], [-2, 7]], [[-2, 3]], [[-1, 9]], [[1, 9]], [[2, 9]], [[1, 1], [1, 5]], [[1, 1], [1, 5]], [[-2, 9]], [[-1, 9]], [[0, 0]], [[0, 0]], [[1, 9]], [[0, 0]], [[1, 3]], [[-1, 3]]]}
             
                      - 
              id: 28937977
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 141, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2aw5', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 9]], [[2, 3]], [[2, 9]], [[-2, 3]], [[-2, 9]], [[-2, 3]], [[2, 3]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[0, 0]], [[1, 0], [-2, 4]], [[-2, 6]], [[1, 6]], [[2, 6]], [[-1, 6]], [[1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[-2, 6]], [[-1, 6]], [[1, 6]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[1, 6]], [[2, 6]], [[1, 6]], [[-1, 6]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 9]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[1, 9]], [[1, 9]], [[1, 9]], [[0, 0]], [[-2, 9]], [[1, 1], [1, 5]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[-1, 1], [-1, 5]], [[1, 3]], [[0, 0]], [[1, 1], [1, 5]], [[-1, 3]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[-1, 3]], [[1, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[-2, 3]], [[-1, 3], [2, 7]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, 5]], [[1, 3]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[-1, 9]], [[-1, 3], [2, 7]], [[-1, 9]], [[1, 3]], [[1, 1], [1, 5]], [[1, 9]], [[0, 0]], [[2, 3]], [[-1, 3], [2, 7]], [[-1, 9]], [[-1, 3]], [[2, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[2, 9]], [[1, 1], [1, 5]], [[-2, 9]], [[-1, 3]], [[1, 3]], [[2, 3]], [[1, 3], [-2, 7]], [[1, 3], [-2, 7]], [[-2, 3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[1, 3]], [[0, 0]], [[1, 9]], [[-1, 9]]]}
             
                      - 
              id: 28937978
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 142, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2aw6', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[2, 9]], [[2, 3]], [[2, 9]], [[-2, 9]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 0], [2, 4]], [[2, 6]], [[-1, 6]], [[-2, 6]], [[1, 6]], [[-1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[2, 6]], [[1, 6]], [[-1, 6]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[-1, 6]], [[-2, 6]], [[-1, 6]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 3]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[0, 0]], [[2, 3]], [[1, 3], [-2, 7]], [[1, 3]], [[1, 9]], [[-1, 3]], [[-1, 3], [2, 7]], [[-1, 9]], [[0, 0]], [[1, 3], [-2, 7]], [[1, 9]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[1, 9]], [[-1, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[2, 9]], [[-1, 1], [-1, 5]], [[0, 0]], [[0, 0]], [[-1, 3], [2, 7]], [[-1, 9]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[1, 3]], [[-1, 1], [-1, 5]], [[1, 3]], [[-1, 9]], [[1, 3], [-2, 7]], [[-1, 3]], [[0, 0]], [[-2, 9]], [[-1, 1], [-1, 5]], [[1, 3]], [[1, 9]], [[-2, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[-2, 3]], [[1, 3], [-2, 7]], [[2, 3]], [[1, 9]], [[-1, 9]], [[-2, 9]], [[1, 1], [1, 5]], [[1, 1], [1, 5]], [[2, 9]], [[1, 9]], [[0, 0]], [[0, 0]], [[-1, 9]], [[0, 0]], [[-1, 3]], [[1, 3]]]}
             
                      - 
              id: 28937979
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 143, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2aw7', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 9]], [[2, 3]], [[2, 9]], [[-2, 3]], [[-2, 9]], [[-2, 3]], [[2, 3]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[0, 0]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 0], [2, 4]], [[-2, 6]], [[1, 6]], [[2, 6]], [[-1, 6]], [[1, 6]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[-2, 6]], [[-1, 6]], [[1, 6]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 6]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[1, 6]], [[2, 6]], [[1, 6]], [[-1, 6]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 9]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[1, 9]], [[1, 9]], [[1, 9]], [[0, 0]], [[-2, 9]], [[-1, 1], [-1, 5]], [[-1, 9]], [[-1, 3]], [[1, 9]], [[1, 1], [1, 5]], [[1, 3]], [[0, 0]], [[-1, 1], [-1, 5]], [[-1, 3]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[-1, 3]], [[1, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[-2, 3]], [[1, 3], [-2, 7]], [[0, 0]], [[0, 0]], [[1, 1], [1, 5]], [[1, 3]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[-1, 9]], [[1, 3], [-2, 7]], [[-1, 9]], [[1, 3]], [[-1, 1], [-1, 5]], [[1, 9]], [[0, 0]], [[2, 3]], [[1, 3], [-2, 7]], [[-1, 9]], [[-1, 3]], [[2, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[2, 9]], [[-1, 1], [-1, 5]], [[-2, 9]], [[-1, 3]], [[1, 3]], [[2, 3]], [[-1, 3], [2, 7]], [[-1, 3], [2, 7]], [[-2, 3]], [[-1, 3]], [[0, 0]], [[0, 0]], [[1, 3]], [[0, 0]], [[1, 9]], [[-1, 9]]]}
             
                      - 
              id: 28937980
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 144, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2aw8', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[2, 9]], [[2, 3]], [[2, 9]], [[-2, 9]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 0], [-2, 4]], [[2, 6]], [[-1, 6]], [[-2, 6]], [[1, 6]], [[-1, 6]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[2, 6]], [[1, 6]], [[-1, 6]], [[0, 0]], [[1, 2], [1, -2]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 6]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[-1, 6]], [[-2, 6]], [[-1, 6]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 3]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[-1, 3]], [[-1, 3]], [[-1, 3]], [[0, 0]], [[2, 3]], [[-1, 3], [2, 7]], [[1, 3]], [[1, 9]], [[-1, 3]], [[1, 3], [-2, 7]], [[-1, 9]], [[0, 0]], [[-1, 3], [2, 7]], [[1, 9]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[1, 9]], [[-1, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[2, 9]], [[1, 1], [1, 5]], [[0, 0]], [[0, 0]], [[1, 3], [-2, 7]], [[-1, 9]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[1, 3]], [[1, 1], [1, 5]], [[1, 3]], [[-1, 9]], [[-1, 3], [2, 7]], [[-1, 3]], [[0, 0]], [[-2, 9]], [[1, 1], [1, 5]], [[1, 3]], [[1, 9]], [[-2, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[-2, 3]], [[-1, 3], [2, 7]], [[2, 3]], [[1, 9]], [[-1, 9]], [[-2, 9]], [[-1, 1], [-1, 5]], [[-1, 1], [-1, 5]], [[2, 9]], [[1, 9]], [[0, 0]], [[0, 0]], [[-1, 9]], [[0, 0]], [[-1, 3]], [[1, 3]]]}
             
                      - 
              id: 28937981
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 145, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2ax1', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[2, 9]], [[-2, 3]], [[-2, 9]], [[2, 3]], [[2, 9]], [[2, 3]], [[-2, 3]], [[-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]], [[1, 0], [-2, 4]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[1, 6]], [[1, 6]], [[-1, 6]], [[2, 6]], [[1, 6]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[1, 6]], [[-1, 6]], [[-2, 6]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-2, 6]], [[-1, 6]], [[1, 6]], [[2, 6]], [[0, 0]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[0, 0]], [[1, 9]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[-1, 9]], [[-1, 9]], [[2, 9]], [[1, 1], [1, 5]], [[-1, 9]], [[0, 0]], [[-2, 9]], [[1, 3]], [[-1, 9]], [[1, 1], [1, 5]], [[-1, 3]], [[1, 3], [-2, 7]], [[0, 0]], [[-2, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[1, 3]], [[-1, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[-1, 3]], [[0, 0]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[0, 0]], [[2, 3]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[1, 9]], [[1, 3], [-2, 7]], [[-2, 9]], [[2, 3]], [[1, 1], [1, 5]], [[-1, 9]], [[-1, 1], [-1, 5]], [[1, 3]], [[0, 0]], [[1, 9]], [[1, 3]], [[1, 9]], [[0, 0]], [[0, 0]], [[1, 9]], [[-1, 1], [-1, 5]], [[-1, 9]], [[-2, 3]], [[-1, 3]], [[1, 3]], [[0, 0]], [[-1, 3], [2, 7]], [[-1, 3]], [[1, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[-1, 3]], [[-1, 1], [-1, 5]], [[2, 9]], [[1, 9]]]}
             
                      - 
              id: 28937982
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 146, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2ax2', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 3]], [[2, 9]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[-2, 9]], [[2, 9]], [[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]], [[-1, 0], [2, 4]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-2, 6]], [[-1, 6]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[-1, 6]], [[1, 6]], [[2, 6]], [[1, 2], [1, -2]], [[0, 0]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[2, 6]], [[1, 6]], [[-1, 6]], [[-2, 6]], [[0, 0]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[0, 0]], [[-1, 3]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[1, 3]], [[1, 3]], [[-2, 3]], [[1, 3], [-2, 7]], [[1, 3]], [[0, 0]], [[2, 3]], [[-1, 9]], [[1, 3]], [[1, 3], [-2, 7]], [[1, 9]], [[1, 1], [1, 5]], [[0, 0]], [[2, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[-1, 9]], [[1, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[1, 9]], [[0, 0]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[0, 0]], [[-2, 9]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[-1, 3]], [[1, 1], [1, 5]], [[2, 3]], [[-2, 9]], [[1, 3], [-2, 7]], [[1, 3]], [[-1, 3], [2, 7]], [[-1, 9]], [[0, 0]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[0, 0]], [[0, 0]], [[-1, 3]], [[-1, 3], [2, 7]], [[1, 3]], [[2, 9]], [[1, 9]], [[-1, 9]], [[0, 0]], [[-1, 1], [-1, 5]], [[1, 9]], [[-1, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[1, 9]], [[-1, 3], [2, 7]], [[-2, 3]], [[-1, 3]]]}
             
                      - 
              id: 28937983
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 147, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2ax3', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[2, 9]], [[-2, 3]], [[-2, 9]], [[2, 3]], [[2, 9]], [[2, 3]], [[-2, 3]], [[-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]], [[-1, 0], [2, 4]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[1, 6]], [[1, 6]], [[-1, 6]], [[2, 6]], [[1, 6]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[1, 6]], [[-1, 6]], [[-2, 6]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 6]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-2, 6]], [[-1, 6]], [[1, 6]], [[2, 6]], [[0, 0]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[0, 0]], [[1, 9]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[-1, 9]], [[-1, 9]], [[2, 9]], [[-1, 1], [-1, 5]], [[-1, 9]], [[0, 0]], [[-2, 9]], [[1, 3]], [[-1, 9]], [[-1, 1], [-1, 5]], [[-1, 3]], [[-1, 3], [2, 7]], [[0, 0]], [[-2, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[1, 3]], [[-1, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[-1, 3]], [[0, 0]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[0, 0]], [[2, 3]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[1, 9]], [[-1, 3], [2, 7]], [[-2, 9]], [[2, 3]], [[-1, 1], [-1, 5]], [[-1, 9]], [[1, 1], [1, 5]], [[1, 3]], [[0, 0]], [[1, 9]], [[1, 3]], [[1, 9]], [[0, 0]], [[0, 0]], [[1, 9]], [[1, 1], [1, 5]], [[-1, 9]], [[-2, 3]], [[-1, 3]], [[1, 3]], [[0, 0]], [[1, 3], [-2, 7]], [[-1, 3]], [[1, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[-1, 3]], [[1, 1], [1, 5]], [[2, 9]], [[1, 9]]]}
             
                      - 
              id: 28937984
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 148, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2ax4', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 3]], [[2, 9]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[-2, 9]], [[2, 9]], [[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]], [[1, 0], [-2, 4]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-2, 6]], [[-1, 6]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[-1, 6]], [[1, 6]], [[2, 6]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 6]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[2, 6]], [[1, 6]], [[-1, 6]], [[-2, 6]], [[0, 0]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[0, 0]], [[-1, 3]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[1, 3]], [[1, 3]], [[-2, 3]], [[-1, 3], [2, 7]], [[1, 3]], [[0, 0]], [[2, 3]], [[-1, 9]], [[1, 3]], [[-1, 3], [2, 7]], [[1, 9]], [[-1, 1], [-1, 5]], [[0, 0]], [[2, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[-1, 9]], [[1, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[1, 9]], [[0, 0]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[0, 0]], [[-2, 9]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[-1, 3]], [[-1, 1], [-1, 5]], [[2, 3]], [[-2, 9]], [[-1, 3], [2, 7]], [[1, 3]], [[1, 3], [-2, 7]], [[-1, 9]], [[0, 0]], [[-1, 3]], [[-1, 9]], [[-1, 3]], [[0, 0]], [[0, 0]], [[-1, 3]], [[1, 3], [-2, 7]], [[1, 3]], [[2, 9]], [[1, 9]], [[-1, 9]], [[0, 0]], [[1, 1], [1, 5]], [[1, 9]], [[-1, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[1, 9]], [[1, 3], [-2, 7]], [[-2, 3]], [[-1, 3]]]}
             
                      - 
              id: 28937985
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 149, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2ax5', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 9]], [[2, 3]], [[2, 9]], [[-2, 3]], [[-2, 9]], [[-2, 3]], [[2, 3]], [[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]], [[1, 0], [-2, 4]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[1, 6]], [[1, 6]], [[-1, 6]], [[2, 6]], [[1, 6]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[1, 6]], [[-1, 6]], [[-2, 6]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-2, 6]], [[-1, 6]], [[1, 6]], [[2, 6]], [[0, 0]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[0, 0]], [[-1, 9]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[1, 9]], [[1, 9]], [[-2, 9]], [[-1, 1], [-1, 5]], [[1, 9]], [[0, 0]], [[2, 9]], [[-1, 3]], [[1, 9]], [[-1, 1], [-1, 5]], [[1, 3]], [[-1, 3], [2, 7]], [[0, 0]], [[2, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[-1, 3]], [[1, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[1, 3]], [[0, 0]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[0, 0]], [[-2, 3]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[-1, 9]], [[-1, 3], [2, 7]], [[2, 9]], [[-2, 3]], [[-1, 1], [-1, 5]], [[1, 9]], [[1, 1], [1, 5]], [[-1, 3]], [[0, 0]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[0, 0]], [[0, 0]], [[-1, 9]], [[1, 1], [1, 5]], [[1, 9]], [[2, 3]], [[1, 3]], [[-1, 3]], [[0, 0]], [[1, 3], [-2, 7]], [[1, 3]], [[-1, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[1, 3]], [[1, 1], [1, 5]], [[-2, 9]], [[-1, 9]]]}
             
                      - 
              id: 28937987
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 150, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2ax6', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[2, 9]], [[2, 3]], [[2, 9]], [[-2, 9]], [[-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]], [[-1, 0], [2, 4]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-2, 6]], [[-1, 6]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[-1, 6]], [[1, 6]], [[2, 6]], [[1, 2], [1, -2]], [[0, 0]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[2, 6]], [[1, 6]], [[-1, 6]], [[-2, 6]], [[0, 0]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[0, 0]], [[1, 3]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[-1, 3]], [[-1, 3]], [[2, 3]], [[-1, 3], [2, 7]], [[-1, 3]], [[0, 0]], [[-2, 3]], [[1, 9]], [[-1, 3]], [[-1, 3], [2, 7]], [[-1, 9]], [[-1, 1], [-1, 5]], [[0, 0]], [[-2, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[1, 9]], [[-1, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[-1, 9]], [[0, 0]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[0, 0]], [[2, 9]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[1, 3]], [[-1, 1], [-1, 5]], [[-2, 3]], [[2, 9]], [[-1, 3], [2, 7]], [[-1, 3]], [[1, 3], [-2, 7]], [[1, 9]], [[0, 0]], [[1, 3]], [[1, 9]], [[1, 3]], [[0, 0]], [[0, 0]], [[1, 3]], [[1, 3], [-2, 7]], [[-1, 3]], [[-2, 9]], [[-1, 9]], [[1, 9]], [[0, 0]], [[1, 1], [1, 5]], [[-1, 9]], [[1, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[-1, 9]], [[1, 3], [-2, 7]], [[2, 3]], [[1, 3]]]}
             
                      - 
              id: 28937988
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 151, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2ax7', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 9]], [[2, 3]], [[2, 9]], [[-2, 3]], [[-2, 9]], [[-2, 3]], [[2, 3]], [[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]], [[-1, 0], [2, 4]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[1, 6]], [[1, 6]], [[-1, 6]], [[2, 6]], [[1, 6]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[1, 6]], [[-1, 6]], [[-2, 6]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 6]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-2, 6]], [[-1, 6]], [[1, 6]], [[2, 6]], [[0, 0]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[0, 0]], [[-1, 9]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[1, 9]], [[1, 9]], [[-2, 9]], [[1, 1], [1, 5]], [[1, 9]], [[0, 0]], [[2, 9]], [[-1, 3]], [[1, 9]], [[1, 1], [1, 5]], [[1, 3]], [[1, 3], [-2, 7]], [[0, 0]], [[2, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[-1, 3]], [[1, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[1, 3]], [[0, 0]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[0, 0]], [[-2, 3]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[-1, 9]], [[1, 3], [-2, 7]], [[2, 9]], [[-2, 3]], [[1, 1], [1, 5]], [[1, 9]], [[-1, 1], [-1, 5]], [[-1, 3]], [[0, 0]], [[-1, 9]], [[-1, 3]], [[-1, 9]], [[0, 0]], [[0, 0]], [[-1, 9]], [[-1, 1], [-1, 5]], [[1, 9]], [[2, 3]], [[1, 3]], [[-1, 3]], [[0, 0]], [[-1, 3], [2, 7]], [[1, 3]], [[-1, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[1, 3]], [[-1, 1], [-1, 5]], [[-2, 9]], [[-1, 9]]]}
             
                      - 
              id: 28937989
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 152, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2ax8', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[2, 9]], [[2, 3]], [[2, 9]], [[-2, 9]], [[-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]], [[1, 0], [-2, 4]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-2, 6]], [[-1, 6]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[-1, 6]], [[1, 6]], [[2, 6]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 6]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[2, 6]], [[1, 6]], [[-1, 6]], [[-2, 6]], [[0, 0]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[0, 0]], [[1, 3]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[-1, 3]], [[-1, 3]], [[2, 3]], [[1, 3], [-2, 7]], [[-1, 3]], [[0, 0]], [[-2, 3]], [[1, 9]], [[-1, 3]], [[1, 3], [-2, 7]], [[-1, 9]], [[1, 1], [1, 5]], [[0, 0]], [[-2, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[1, 9]], [[-1, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[-1, 9]], [[0, 0]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[0, 0]], [[2, 9]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[1, 3]], [[1, 1], [1, 5]], [[-2, 3]], [[2, 9]], [[1, 3], [-2, 7]], [[-1, 3]], [[-1, 3], [2, 7]], [[1, 9]], [[0, 0]], [[1, 3]], [[1, 9]], [[1, 3]], [[0, 0]], [[0, 0]], [[1, 3]], [[-1, 3], [2, 7]], [[-1, 3]], [[-2, 9]], [[-1, 9]], [[1, 9]], [[0, 0]], [[-1, 1], [-1, 5]], [[-1, 9]], [[1, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[-1, 9]], [[-1, 3], [2, 7]], [[2, 3]], [[1, 3]]]}
             
                      - 
              id: 28937990
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 153, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2ay1', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 9]], [[-2, 3]], [[-2, 9]], [[2, 3]], [[2, 9]], [[2, 3]], [[-2, 3]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-2, 6]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[0, 0]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 6]], [[0, 0]], [[0, 0]], [[-1, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-2, 9]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[2, 9]], [[-1, 9]], [[-1, 9]], [[-1, 1], [-1, 5]], [[-1, 9]], [[-1, 1], [-1, 5]], [[1, 9]], [[1, 3]], [[2, 9]], [[0, 0]], [[-1, 3]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[1, 3]], [[0, 0]], [[-1, 3], [2, 7]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[-1, 3]], [[1, 3], [-2, 7]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[-1, 3]], [[0, 0]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[-2, 9]], [[0, 0]], [[1, 9]], [[-1, 3]], [[1, 1], [1, 5]], [[-1, 9]], [[1, 1], [1, 5]], [[1, 3]], [[1, 3], [-2, 7]], [[1, 9]], [[-2, 3]], [[1, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[1, 9]], [[0, 0]], [[-1, 9]], [[1, 3]], [[2, 3]], [[1, 3]], [[-1, 3], [2, 7]], [[0, 0]], [[-1, 3]], [[1, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[-1, 3]], [[1, 1], [1, 5]], [[-1, 9]], [[1, 9]]]}
             
                      - 
              id: 28937991
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 154, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2ay2', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 3]], [[2, 9]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[-2, 9]], [[2, 9]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[2, 6]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[0, 0]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 6]], [[0, 0]], [[0, 0]], [[1, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[2, 3]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[-2, 3]], [[1, 3]], [[1, 3]], [[-1, 3], [2, 7]], [[1, 3]], [[-1, 3], [2, 7]], [[-1, 3]], [[-1, 9]], [[-2, 3]], [[0, 0]], [[1, 9]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[-1, 9]], [[0, 0]], [[-1, 1], [-1, 5]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[1, 9]], [[1, 1], [1, 5]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[1, 9]], [[0, 0]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[2, 3]], [[0, 0]], [[-1, 3]], [[1, 9]], [[1, 3], [-2, 7]], [[1, 3]], [[1, 3], [-2, 7]], [[-1, 9]], [[1, 1], [1, 5]], [[-1, 3]], [[2, 9]], [[-1, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[-1, 3]], [[0, 0]], [[1, 3]], [[-1, 9]], [[-2, 9]], [[-1, 9]], [[-1, 1], [-1, 5]], [[0, 0]], [[1, 9]], [[-1, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[1, 9]], [[1, 3], [-2, 7]], [[1, 3]], [[-1, 3]]]}
             
                      - 
              id: 28937992
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 155, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2ay3', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 9]], [[-2, 3]], [[-2, 9]], [[2, 3]], [[2, 9]], [[2, 3]], [[-2, 3]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-2, 6]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[0, 0]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 6]], [[0, 0]], [[0, 0]], [[-1, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-2, 9]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[2, 9]], [[-1, 9]], [[-1, 9]], [[1, 1], [1, 5]], [[-1, 9]], [[1, 1], [1, 5]], [[1, 9]], [[1, 3]], [[2, 9]], [[0, 0]], [[-1, 3]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[1, 3]], [[0, 0]], [[1, 3], [-2, 7]], [[-2, 3]], [[2, 3]], [[0, 0]], [[0, 0]], [[-1, 3]], [[-1, 3], [2, 7]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[-1, 3]], [[0, 0]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[-2, 9]], [[0, 0]], [[1, 9]], [[-1, 3]], [[-1, 1], [-1, 5]], [[-1, 9]], [[-1, 1], [-1, 5]], [[1, 3]], [[-1, 3], [2, 7]], [[1, 9]], [[-2, 3]], [[1, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[1, 9]], [[0, 0]], [[-1, 9]], [[1, 3]], [[2, 3]], [[1, 3]], [[1, 3], [-2, 7]], [[0, 0]], [[-1, 3]], [[1, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[-1, 3]], [[-1, 1], [-1, 5]], [[-1, 9]], [[1, 9]]]}
             
                      - 
              id: 28937993
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 156, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2ay4', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 3]], [[2, 9]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[-2, 9]], [[2, 9]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[2, 6]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[0, 0]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 6]], [[0, 0]], [[0, 0]], [[1, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[2, 3]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[-2, 3]], [[1, 3]], [[1, 3]], [[1, 3], [-2, 7]], [[1, 3]], [[1, 3], [-2, 7]], [[-1, 3]], [[-1, 9]], [[-2, 3]], [[0, 0]], [[1, 9]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[-1, 9]], [[0, 0]], [[1, 1], [1, 5]], [[2, 9]], [[-2, 9]], [[0, 0]], [[0, 0]], [[1, 9]], [[-1, 1], [-1, 5]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[1, 9]], [[0, 0]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[2, 3]], [[0, 0]], [[-1, 3]], [[1, 9]], [[-1, 3], [2, 7]], [[1, 3]], [[-1, 3], [2, 7]], [[-1, 9]], [[-1, 1], [-1, 5]], [[-1, 3]], [[2, 9]], [[-1, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[-1, 3]], [[0, 0]], [[1, 3]], [[-1, 9]], [[-2, 9]], [[-1, 9]], [[1, 1], [1, 5]], [[0, 0]], [[1, 9]], [[-1, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[1, 9]], [[-1, 3], [2, 7]], [[1, 3]], [[-1, 3]]]}
             
                      - 
              id: 28937994
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 157, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2ay5', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 9]], [[2, 3]], [[2, 9]], [[-2, 3]], [[-2, 9]], [[-2, 3]], [[2, 3]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-2, 6]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[0, 0]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[2, 6]], [[0, 0]], [[0, 0]], [[-1, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[2, 9]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[-2, 9]], [[1, 9]], [[1, 9]], [[1, 1], [1, 5]], [[1, 9]], [[1, 1], [1, 5]], [[-1, 9]], [[-1, 3]], [[-2, 9]], [[0, 0]], [[1, 3]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[-1, 3]], [[0, 0]], [[1, 3], [-2, 7]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[1, 3]], [[-1, 3], [2, 7]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[1, 3]], [[0, 0]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[2, 9]], [[0, 0]], [[-1, 9]], [[1, 3]], [[-1, 1], [-1, 5]], [[1, 9]], [[-1, 1], [-1, 5]], [[-1, 3]], [[-1, 3], [2, 7]], [[-1, 9]], [[2, 3]], [[-1, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[-1, 9]], [[0, 0]], [[1, 9]], [[-1, 3]], [[-2, 3]], [[-1, 3]], [[1, 3], [-2, 7]], [[0, 0]], [[1, 3]], [[-1, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[1, 3]], [[-1, 1], [-1, 5]], [[1, 9]], [[-1, 9]]]}
             
                      - 
              id: 28937995
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 158, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2ay6', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[2, 9]], [[2, 3]], [[2, 9]], [[-2, 9]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[2, 6]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[0, 0]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-2, 6]], [[0, 0]], [[0, 0]], [[1, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-2, 3]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[2, 3]], [[-1, 3]], [[-1, 3]], [[1, 3], [-2, 7]], [[-1, 3]], [[1, 3], [-2, 7]], [[1, 3]], [[1, 9]], [[2, 3]], [[0, 0]], [[-1, 9]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[1, 9]], [[0, 0]], [[1, 1], [1, 5]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[-1, 9]], [[-1, 1], [-1, 5]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[-1, 9]], [[0, 0]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[-2, 3]], [[0, 0]], [[1, 3]], [[-1, 9]], [[-1, 3], [2, 7]], [[-1, 3]], [[-1, 3], [2, 7]], [[1, 9]], [[-1, 1], [-1, 5]], [[1, 3]], [[-2, 9]], [[1, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[1, 3]], [[0, 0]], [[-1, 3]], [[1, 9]], [[2, 9]], [[1, 9]], [[1, 1], [1, 5]], [[0, 0]], [[-1, 9]], [[1, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[-1, 9]], [[-1, 3], [2, 7]], [[-1, 3]], [[1, 3]]]}
             
                      - 
              id: 28937996
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 159, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2ay7', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 9]], [[2, 3]], [[2, 9]], [[-2, 3]], [[-2, 9]], [[-2, 3]], [[2, 3]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-2, 6]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[0, 0]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[2, 6]], [[0, 0]], [[0, 0]], [[-1, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[2, 9]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[-2, 9]], [[1, 9]], [[1, 9]], [[-1, 1], [-1, 5]], [[1, 9]], [[-1, 1], [-1, 5]], [[-1, 9]], [[-1, 3]], [[-2, 9]], [[0, 0]], [[1, 3]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[-1, 3]], [[0, 0]], [[-1, 3], [2, 7]], [[2, 3]], [[-2, 3]], [[0, 0]], [[0, 0]], [[1, 3]], [[1, 3], [-2, 7]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[1, 3]], [[0, 0]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[2, 9]], [[0, 0]], [[-1, 9]], [[1, 3]], [[1, 1], [1, 5]], [[1, 9]], [[1, 1], [1, 5]], [[-1, 3]], [[1, 3], [-2, 7]], [[-1, 9]], [[2, 3]], [[-1, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[-1, 9]], [[0, 0]], [[1, 9]], [[-1, 3]], [[-2, 3]], [[-1, 3]], [[-1, 3], [2, 7]], [[0, 0]], [[1, 3]], [[-1, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[1, 3]], [[1, 1], [1, 5]], [[1, 9]], [[-1, 9]]]}
             
                      - 
              id: 28937998
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 160, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2ay8', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[2, 9]], [[2, 3]], [[2, 9]], [[-2, 9]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 6]], [[2, 6]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[0, 0]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-2, 6]], [[0, 0]], [[0, 0]], [[1, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 6]], [[-1, 6]], [[1, 6]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-2, 3]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[2, 3]], [[-1, 3]], [[-1, 3]], [[-1, 3], [2, 7]], [[-1, 3]], [[-1, 3], [2, 7]], [[1, 3]], [[1, 9]], [[2, 3]], [[0, 0]], [[-1, 9]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[1, 9]], [[0, 0]], [[-1, 1], [-1, 5]], [[-2, 9]], [[2, 9]], [[0, 0]], [[0, 0]], [[-1, 9]], [[1, 1], [1, 5]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[-1, 9]], [[0, 0]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[-2, 3]], [[0, 0]], [[1, 3]], [[-1, 9]], [[1, 3], [-2, 7]], [[-1, 3]], [[1, 3], [-2, 7]], [[1, 9]], [[1, 1], [1, 5]], [[1, 3]], [[-2, 9]], [[1, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[1, 3]], [[0, 0]], [[-1, 3]], [[1, 9]], [[2, 9]], [[1, 9]], [[-1, 1], [-1, 5]], [[0, 0]], [[-1, 9]], [[1, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[-1, 9]], [[1, 3], [-2, 7]], [[-1, 3]], [[1, 3]]]}
             
                      - 
              id: 28937999
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 161, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2az1', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 9]], [[-2, 3]], [[-2, 9]], [[2, 3]], [[2, 9]], [[2, 3]], [[-2, 3]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 4]], [[0, 0]], [[1, 0], [-2, 4]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[0, 0]], [[1, 6]], [[-2, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[0, 0]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[1, 6]], [[2, 6]], [[1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[2, 6]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 6]], [[-2, 6]], [[-1, 6]], [[-1, 0], [2, 4]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9]], [[2, 9]], [[-1, 9]], [[1, 1], [1, 5]], [[-1, 9]], [[-1, 1], [-1, 5]], [[1, 9]], [[-2, 3]], [[-1, 9]], [[-1, 1], [-1, 5]], [[2, 3]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[1, 3]], [[-1, 1], [-1, 5]], [[0, 0]], [[1, 3]], [[-1, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[-1, 3]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[-1, 3]], [[1, 3], [-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9]], [[-1, 3], [2, 7]], [[1, 9]], [[-1, 3]], [[0, 0]], [[2, 9]], [[-1, 1], [-1, 5]], [[1, 3]], [[1, 3], [-2, 7]], [[-2, 9]], [[1, 3]], [[1, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[1, 9]], [[1, 1], [1, 5]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 3]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[-1, 3]], [[-2, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[2, 3]], [[-1, 1], [-1, 5]], [[-1, 9]], [[-2, 9]]]}
             
                      - 
              id: 28938000
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 162, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2az2', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 3]], [[2, 9]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[-2, 9]], [[2, 9]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 4]], [[0, 0]], [[-1, 0], [2, 4]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[0, 0]], [[-1, 6]], [[2, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[0, 0]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[-1, 6]], [[-2, 6]], [[-1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-2, 6]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 6]], [[2, 6]], [[1, 6]], [[1, 0], [-2, 4]], [[0, 0]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3]], [[-2, 3]], [[1, 3]], [[1, 3], [-2, 7]], [[1, 3]], [[-1, 3], [2, 7]], [[-1, 3]], [[2, 9]], [[1, 3]], [[-1, 3], [2, 7]], [[-2, 9]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[-1, 9]], [[-1, 3], [2, 7]], [[0, 0]], [[-1, 9]], [[1, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[1, 9]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[1, 9]], [[1, 1], [1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3]], [[-1, 1], [-1, 5]], [[-1, 3]], [[1, 9]], [[0, 0]], [[-2, 3]], [[-1, 3], [2, 7]], [[-1, 9]], [[1, 1], [1, 5]], [[2, 3]], [[-1, 9]], [[-1, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[-1, 3]], [[1, 3], [-2, 7]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[1, 9]], [[2, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[-2, 9]], [[-1, 3], [2, 7]], [[1, 3]], [[2, 3]]]}
             
                      - 
              id: 28938001
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 163, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2az3', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 9]], [[-2, 3]], [[-2, 9]], [[2, 3]], [[2, 9]], [[2, 3]], [[-2, 3]], [[-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 4]], [[0, 0]], [[-1, 0], [2, 4]], [[0, 0]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[0, 0]], [[1, 6]], [[-2, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[0, 0]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[1, 6]], [[2, 6]], [[1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[2, 6]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 6]], [[-1, 6]], [[-2, 6]], [[-1, 6]], [[1, 0], [-2, 4]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9]], [[2, 9]], [[-1, 9]], [[-1, 1], [-1, 5]], [[-1, 9]], [[1, 1], [1, 5]], [[1, 9]], [[-2, 3]], [[-1, 9]], [[1, 1], [1, 5]], [[2, 3]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[1, 3]], [[1, 1], [1, 5]], [[0, 0]], [[1, 3]], [[-1, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[-1, 3]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[-1, 3]], [[-1, 3], [2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9]], [[1, 3], [-2, 7]], [[1, 9]], [[-1, 3]], [[0, 0]], [[2, 9]], [[1, 1], [1, 5]], [[1, 3]], [[-1, 3], [2, 7]], [[-2, 9]], [[1, 3]], [[1, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[1, 9]], [[-1, 1], [-1, 5]], [[-1, 9]], [[1, 3]], [[-1, 3]], [[1, 3]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[-1, 3]], [[-2, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[2, 3]], [[1, 1], [1, 5]], [[-1, 9]], [[-2, 9]]]}
             
                      - 
              id: 28938002
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 164, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2az4', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 3]], [[2, 9]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[-2, 9]], [[2, 9]], [[2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 4]], [[0, 0]], [[1, 0], [-2, 4]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[0, 0]], [[-1, 6]], [[2, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[0, 0]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[-1, 6]], [[-2, 6]], [[-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-2, 6]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 6]], [[1, 6]], [[2, 6]], [[1, 6]], [[-1, 0], [2, 4]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3]], [[-2, 3]], [[1, 3]], [[-1, 3], [2, 7]], [[1, 3]], [[1, 3], [-2, 7]], [[-1, 3]], [[2, 9]], [[1, 3]], [[1, 3], [-2, 7]], [[-2, 9]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[-1, 9]], [[1, 3], [-2, 7]], [[0, 0]], [[-1, 9]], [[1, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[1, 9]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[1, 9]], [[-1, 1], [-1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3]], [[1, 1], [1, 5]], [[-1, 3]], [[1, 9]], [[0, 0]], [[-2, 3]], [[1, 3], [-2, 7]], [[-1, 9]], [[-1, 1], [-1, 5]], [[2, 3]], [[-1, 9]], [[-1, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[-1, 3]], [[-1, 3], [2, 7]], [[1, 3]], [[-1, 9]], [[1, 9]], [[-1, 9]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[1, 9]], [[2, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[-2, 9]], [[1, 3], [-2, 7]], [[1, 3]], [[2, 3]]]}
             
                      - 
              id: 28938003
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 165, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2az5', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 9]], [[2, 3]], [[2, 9]], [[-2, 3]], [[-2, 9]], [[-2, 3]], [[2, 3]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 4]], [[0, 0]], [[1, 0], [-2, 4]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[0, 0]], [[1, 6]], [[-2, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[0, 0]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[1, 6]], [[2, 6]], [[1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[2, 6]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 6]], [[-2, 6]], [[-1, 6]], [[-1, 0], [2, 4]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9]], [[-2, 9]], [[1, 9]], [[-1, 1], [-1, 5]], [[1, 9]], [[1, 1], [1, 5]], [[-1, 9]], [[2, 3]], [[1, 9]], [[1, 1], [1, 5]], [[-2, 3]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[-1, 3]], [[1, 1], [1, 5]], [[0, 0]], [[-1, 3]], [[1, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[1, 3]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[-1, 1], [-1, 5]], [[1, 3]], [[-1, 3], [2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9]], [[1, 3], [-2, 7]], [[-1, 9]], [[1, 3]], [[0, 0]], [[-2, 9]], [[1, 1], [1, 5]], [[-1, 3]], [[-1, 3], [2, 7]], [[2, 9]], [[-1, 3]], [[-1, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[-1, 9]], [[-1, 1], [-1, 5]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[1, 3]], [[2, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[-2, 3]], [[1, 1], [1, 5]], [[1, 9]], [[2, 9]]]}
             
                      - 
              id: 28938004
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 166, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2az6', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[2, 9]], [[2, 3]], [[2, 9]], [[-2, 9]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 4]], [[0, 0]], [[-1, 0], [2, 4]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[0, 0]], [[-1, 6]], [[2, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[0, 0]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[-1, 6]], [[-2, 6]], [[-1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-2, 6]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 6]], [[2, 6]], [[1, 6]], [[1, 0], [-2, 4]], [[0, 0]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3]], [[2, 3]], [[-1, 3]], [[-1, 3], [2, 7]], [[-1, 3]], [[1, 3], [-2, 7]], [[1, 3]], [[-2, 9]], [[-1, 3]], [[1, 3], [-2, 7]], [[2, 9]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[1, 9]], [[1, 3], [-2, 7]], [[0, 0]], [[1, 9]], [[-1, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[-1, 9]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[-1, 3], [2, 7]], [[-1, 9]], [[-1, 1], [-1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3]], [[1, 1], [1, 5]], [[1, 3]], [[-1, 9]], [[0, 0]], [[2, 3]], [[1, 3], [-2, 7]], [[1, 9]], [[-1, 1], [-1, 5]], [[-2, 3]], [[1, 9]], [[1, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[1, 3]], [[-1, 3], [2, 7]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 9]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[-1, 9]], [[-2, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[2, 9]], [[1, 3], [-2, 7]], [[-1, 3]], [[-2, 3]]]}
             
                      - 
              id: 28938005
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 167, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2az7', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 9]], [[2, 3]], [[2, 9]], [[-2, 3]], [[-2, 9]], [[-2, 3]], [[2, 3]], [[2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0], [2, 4]], [[0, 0]], [[-1, 0], [2, 4]], [[0, 0]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[0, 0]], [[1, 6]], [[-2, 6]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[0, 0]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[1, 0], [-2, 4]], [[1, 6]], [[2, 6]], [[1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[2, 6]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[1, 6]], [[-1, 6]], [[-2, 6]], [[-1, 6]], [[1, 0], [-2, 4]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 0], [-2, 4]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 9]], [[-2, 9]], [[1, 9]], [[1, 1], [1, 5]], [[1, 9]], [[-1, 1], [-1, 5]], [[-1, 9]], [[2, 3]], [[1, 9]], [[-1, 1], [-1, 5]], [[-2, 3]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[-1, 3]], [[-1, 1], [-1, 5]], [[0, 0]], [[-1, 3]], [[1, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[1, 3]], [[1, 3], [-2, 7]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[1, 1], [1, 5]], [[1, 3]], [[1, 3], [-2, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 9]], [[-1, 3], [2, 7]], [[-1, 9]], [[1, 3]], [[0, 0]], [[-2, 9]], [[-1, 1], [-1, 5]], [[-1, 3]], [[1, 3], [-2, 7]], [[2, 9]], [[-1, 3]], [[-1, 9]], [[-1, 3], [2, 7]], [[1, 1], [1, 5]], [[-1, 9]], [[1, 1], [1, 5]], [[1, 9]], [[-1, 3]], [[1, 3]], [[-1, 3]], [[-1, 3], [2, 7]], [[1, 3], [-2, 7]], [[1, 3]], [[2, 3]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[-2, 3]], [[-1, 1], [-1, 5]], [[1, 9]], [[2, 9]]]}
             
                      - 
              id: 28938006
              
{'center': '12.b1', 'center_index': 12, 'center_order': 48, 'counter': 168, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '96.108', 'image_order': 96, 'indicator': 0, 'kernel': '96.c1', 'kernel_order': 6, 'label': '576.4267.2az8', 'nt': [48, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 3]], [[-2, 9]], [[-2, 3]], [[2, 9]], [[2, 3]], [[2, 9]], [[-2, 9]], [[-2, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0], [-2, 4]], [[0, 0]], [[1, 0], [-2, 4]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[0, 0]], [[-1, 6]], [[2, 6]], [[1, 6]], [[1, 6]], [[-1, 6]], [[0, 0]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 0], [2, 4]], [[1, 2], [1, -2]], [[-1, 0], [2, 4]], [[-1, 6]], [[-2, 6]], [[-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6]], [[1, 0], [-2, 4]], [[-1, 2], [-1, -2]], [[-2, 6]], [[-1, 6]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 0], [-2, 4]], [[1, 2], [1, -2]], [[-1, 6]], [[1, 6]], [[2, 6]], [[1, 6]], [[-1, 0], [2, 4]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 0], [2, 4]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3]], [[2, 3]], [[-1, 3]], [[1, 3], [-2, 7]], [[-1, 3]], [[-1, 3], [2, 7]], [[1, 3]], [[-2, 9]], [[-1, 3]], [[-1, 3], [2, 7]], [[2, 9]], [[1, 1], [1, 5]], [[-1, 3], [2, 7]], [[1, 9]], [[-1, 3], [2, 7]], [[0, 0]], [[1, 9]], [[-1, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[-1, 9]], [[1, 1], [1, 5]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[1, 3], [-2, 7]], [[-1, 9]], [[1, 1], [1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3]], [[-1, 1], [-1, 5]], [[1, 3]], [[-1, 9]], [[0, 0]], [[2, 3]], [[-1, 3], [2, 7]], [[1, 9]], [[1, 1], [1, 5]], [[-2, 3]], [[1, 9]], [[1, 3]], [[-1, 1], [-1, 5]], [[1, 3], [-2, 7]], [[1, 3]], [[1, 3], [-2, 7]], [[-1, 3]], [[1, 9]], [[-1, 9]], [[1, 9]], [[-1, 1], [-1, 5]], [[1, 1], [1, 5]], [[-1, 9]], [[-2, 9]], [[1, 3], [-2, 7]], [[-1, 1], [-1, 5]], [[2, 9]], [[-1, 3], [2, 7]], [[-1, 3]], [[-2, 3]]]}
             
                      - 
              id: 28938026
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 34, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 96, 'label': '576.4267.2b', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]]]}
             
                      - 
              id: 28938027
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 35, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 96, 'label': '576.4267.2c', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-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]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
             
                      - 
              id: 28938028
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 36, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 96, 'label': '576.4267.2d', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]]]}
             
                      - 
              id: 28938029
              
{'center': '4.e1', 'center_index': 4, 'center_order': 144, 'counter': 37, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.f1', 'kernel_order': 72, 'label': '576.4267.2e', 'nt': [4, 3], 'q_character': None, 'values': [[[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]]]}
             
                      - 
              id: 28938030
              
{'center': '4.e1', 'center_index': 4, 'center_order': 144, 'counter': 38, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.f1', 'kernel_order': 72, 'label': '576.4267.2f', 'nt': [4, 3], 'q_character': None, 'values': [[[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]]]}
             
                      - 
              id: 28938031
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 39, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1', 'kernel_order': 48, 'label': '576.4267.2g', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 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]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]]]}
             
                      - 
              id: 28938033
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 40, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1', 'kernel_order': 48, 'label': '576.4267.2h', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 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]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]]]}
             
                      - 
              id: 28938034
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 41, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1', 'kernel_order': 48, 'label': '576.4267.2i', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 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]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]]]}
             
                      - 
              id: 28938035
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 42, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1', 'kernel_order': 48, 'label': '576.4267.2j', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]]]}
             
                      - 
              id: 28938036
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 43, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1', 'kernel_order': 48, 'label': '576.4267.2k', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]]]}
             
                      - 
              id: 28938037
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 44, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1', 'kernel_order': 48, 'label': '576.4267.2l', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]]]}
             
                      - 
              id: 28938038
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 45, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1', 'kernel_order': 48, 'label': '576.4267.2m', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[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]], [[1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
             
                      - 
              id: 28938039
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 46, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1', 'kernel_order': 48, 'label': '576.4267.2n', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[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]], [[1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
             
                      - 
              id: 28938040
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 47, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1', 'kernel_order': 48, 'label': '576.4267.2o', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-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]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
             
                      - 
              id: 28938041
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 48, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1', 'kernel_order': 48, 'label': '576.4267.2p', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]]]}
             
                      - 
              id: 28938042
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 49, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1', 'kernel_order': 48, 'label': '576.4267.2q', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[2, 0]]]}
             
                      - 
              id: 28938044
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 50, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1', 'kernel_order': 48, 'label': '576.4267.2r', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]]]}
             
                      - 
              id: 28938045
              
{'center': '4.e1', 'center_index': 4, 'center_order': 144, 'counter': 51, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.c1', 'kernel_order': 36, 'label': '576.4267.2s1', 'nt': [8, 11], 'q_character': None, 'values': [[[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, 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]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[-2, 1]], [[-2, 1]]]}
             
                      - 
              id: 28938046
              
{'center': '4.e1', 'center_index': 4, 'center_order': 144, 'counter': 52, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '16.13', 'image_order': 16, 'indicator': 0, 'kernel': '16.c1', 'kernel_order': 36, 'label': '576.4267.2s2', 'nt': [8, 2], 'q_character': None, 'values': [[[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, 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]], [[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]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[0, 0]], [[-2, 1]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[0, 0]], [[2, 1]], [[2, 1]]]}
             
                      - 
              id: 28938047
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 53, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1', 'kernel_order': 24, 'label': '576.4267.2t1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 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]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[1, 1]], [[-2, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[2, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[-1, 1]], [[2, 1]], [[-2, 1]], [[-1, 1]], [[2, 1]], [[1, 1]], [[1, 1]]]}
             
                      - 
              id: 28938048
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 54, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1', 'kernel_order': 24, 'label': '576.4267.2t2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[2, 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]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[2, 1]], [[2, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[1, 1]], [[2, 1]], [[1, 1]], [[1, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[1, 1]], [[-2, 1]], [[2, 1]], [[1, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]]]}
             
                      - 
              id: 28938049
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 55, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1', 'kernel_order': 24, 'label': '576.4267.2u1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 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]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-2, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[2, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-2, 1]], [[2, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[1, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-2, 1]], [[2, 1]], [[-1, 1]], [[-2, 1]], [[1, 1]], [[1, 1]]]}
             
                      - 
              id: 28938050
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 56, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1', 'kernel_order': 24, 'label': '576.4267.2u2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 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]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[1, 1]], [[-2, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-2, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[2, 1]], [[1, 1]], [[1, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[-2, 1]], [[1, 1]], [[2, 1]], [[-2, 1]], [[1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]]]}
             
                      - 
              id: 28938051
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 57, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1', 'kernel_order': 24, 'label': '576.4267.2v1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[2, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-2, 1]], [[2, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[1, 1]]]}
             
                      - 
              id: 28938052
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 58, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1', 'kernel_order': 24, 'label': '576.4267.2v2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[-2, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-2, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[-1, 1]]]}
             
                      - 
              id: 28938053
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 59, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1', 'kernel_order': 24, 'label': '576.4267.2w1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[-2, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[2, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[2, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[1, 1]]]}
             
                      - 
              id: 28938055
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 60, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1', 'kernel_order': 24, 'label': '576.4267.2w2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[-2, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]]]}
             
                      - 
              id: 28938056
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 61, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1', 'kernel_order': 24, 'label': '576.4267.2x1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[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]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-2, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[2, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[1, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[-2, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]]]}
             
                      - 
              id: 28938057
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 62, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1', 'kernel_order': 24, 'label': '576.4267.2x2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[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]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[-2, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-2, 1]], [[-1, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[2, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]]]}
             
                      - 
              id: 28938058
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 63, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1', 'kernel_order': 24, 'label': '576.4267.2y1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-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]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-2, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]]]}
             
                      - 
              id: 28938059
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 64, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.c1', 'kernel_order': 24, 'label': '576.4267.2y2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-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]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[2, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[2, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[1, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]]]}
             
                      - 
              id: 28938060
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 65, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1', 'kernel_order': 24, 'label': '576.4267.2z1', 'nt': [12, 11], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[1, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[1, 1]], [[-2, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[-2, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[1, 1]], [[2, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]]]}
             
                      - 
              id: 28938061
              
{'center': '6.a1', 'center_index': 6, 'center_order': 96, 'counter': 66, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '576.4267', 'group_counter': 4267, 'group_order': 576, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.b1', 'kernel_order': 24, 'label': '576.4267.2z2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[2, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-1, 0]], [[1, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[2, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[2, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[2, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-2, 1]], [[1, 1]], [[-1, 1]], [[-2, 1]], [[1, 1]], [[-1, 1]], [[2, 1]]]}
             
                  
           
      - 
              gps_subgroup_search •   Show schema
  Hide schema
   
        
                      - 
              id: 108982121
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 576, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '576.4267.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '576.4267', 'subgroup_hash': 4267, 'subgroup_order': 576, 'subgroup_tex': 'C_{24}:D_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982153
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 288, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '288.756', 'subgroup_hash': 756, 'subgroup_order': 288, 'subgroup_tex': 'C_{24}:D_6', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982164
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 16, 'characteristic': False, 'core_order': 288, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '288.295', 'subgroup_hash': 295, 'subgroup_order': 288, 'subgroup_tex': 'C_{12}.D_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982175
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 16, 'characteristic': True, 'core_order': 288, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '288.730', 'subgroup_hash': 730, 'subgroup_order': 288, 'subgroup_tex': 'C_{12}:D_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982186
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 288, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '288.314', 'subgroup_hash': 314, 'subgroup_order': 288, 'subgroup_tex': 'C_{12}\\times C_{24}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982197
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 16, 'characteristic': True, 'core_order': 288, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.2.e1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '288.279', 'subgroup_hash': 279, 'subgroup_order': 288, 'subgroup_tex': 'C_{12}.D_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982208
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.3.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.245', 'subgroup_hash': 245, 'subgroup_order': 192, 'subgroup_tex': 'C_8\\times D_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982219
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 144, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.169', 'subgroup_hash': 169, 'subgroup_order': 144, 'subgroup_tex': 'C_{12}:D_6', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982230
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 16, 'characteristic': False, 'core_order': 144, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.95', 'subgroup_hash': 95, 'subgroup_order': 144, 'subgroup_tex': 'C_6.D_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982122
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 16, 'characteristic': True, 'core_order': 144, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.1', '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.170', 'subgroup_hash': 170, 'subgroup_order': 144, 'subgroup_tex': 'C_6:D_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982133
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 144, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.101', 'subgroup_hash': 101, 'subgroup_order': 144, 'subgroup_tex': 'C_{12}^2', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982144
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 144, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.104', 'subgroup_hash': 104, 'subgroup_order': 144, 'subgroup_tex': 'C_6\\times C_{24}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982146
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 144, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.104', 'subgroup_hash': 104, 'subgroup_order': 144, 'subgroup_tex': 'C_6\\times C_{24}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982147
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 144, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.90', 'subgroup_hash': 90, 'subgroup_order': 144, 'subgroup_tex': 'C_{12}.D_6', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982148
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 16, 'characteristic': True, 'core_order': 144, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.4.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1', 'outer_equivalence': True, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '144.94', 'subgroup_hash': 94, 'subgroup_order': 144, 'subgroup_tex': 'C_6.D_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982149
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 72, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.4.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '144.85', 'subgroup_hash': 85, 'subgroup_order': 144, 'subgroup_tex': 'C_{24}:S_3', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982150
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 96, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982151
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.106', 'subgroup_hash': 106, 'subgroup_order': 96, 'subgroup_tex': 'C_8\\times D_6', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982152
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.27', 'subgroup_hash': 27, 'subgroup_order': 96, 'subgroup_tex': 'D_6:C_8', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982154
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.80', 'subgroup_hash': 80, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times D_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982155
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.6.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.11', 'subgroup_hash': 11, 'subgroup_order': 96, 'subgroup_tex': 'C_{12}:C_8', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982156
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 72, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, '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': '72.49', 'subgroup_hash': 49, 'subgroup_order': 72, 'subgroup_tex': 'C_6:D_6', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982157
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 72, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.36', 'subgroup_hash': 36, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times C_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982158
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 72, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', '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': '72.36', 'subgroup_hash': 36, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times C_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982159
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 72, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.2', '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': '72.36', 'subgroup_hash': 36, 'subgroup_order': 72, 'subgroup_tex': 'C_6\\times C_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982160
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 72, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, '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': '72.34', 'subgroup_hash': 34, 'subgroup_order': 72, 'subgroup_tex': 'C_6.D_6', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982161
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 72, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '72.14', 'subgroup_hash': 14, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982162
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': True, 'centralizer_order': 16, 'characteristic': False, 'core_order': 72, 'counter': 28, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '576.4267.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '72.33', 'subgroup_hash': 33, 'subgroup_order': 72, 'subgroup_tex': 'C_3:D_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982163
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 36, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.32', 'subgroup_hash': 32, 'subgroup_order': 72, 'subgroup_tex': 'C_{12}:S_3', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982165
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 36, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '72.32', 'subgroup_hash': 32, 'subgroup_order': 72, 'subgroup_tex': 'C_{12}:S_3', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982166
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 36, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.8.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.13', 'subgroup_hash': 13, 'subgroup_order': 72, 'subgroup_tex': 'C_3^2:C_8', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982167
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 36, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.8.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.14', 'subgroup_hash': 14, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times C_{24}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982168
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '576.4267.9.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.115', 'subgroup_hash': 115, 'subgroup_order': 64, 'subgroup_tex': 'C_8\\times D_4', 'supersolvable': True, 'sylow': 2}
             
                      - 
              id: 108982169
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 48, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982170
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 48, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982171
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 48, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.23', 'subgroup_hash': 23, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982172
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.35', 'subgroup_hash': 35, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times D_6', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982173
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.14', 'subgroup_hash': 14, 'subgroup_order': 48, 'subgroup_tex': 'D_6:C_4', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982174
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.36', 'subgroup_hash': 36, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times D_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982176
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.9', 'subgroup_hash': 9, 'subgroup_order': 48, 'subgroup_tex': 'C_6:C_8', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982177
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.12.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.13', 'subgroup_hash': 13, 'subgroup_order': 48, 'subgroup_tex': 'C_{12}:C_4', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982178
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.12.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.4', 'subgroup_hash': 4, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times C_8', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982179
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 36, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.10', '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': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.14', 'subgroup_hash': 14, 'subgroup_order': 36, 'subgroup_tex': 'C_6^2', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982180
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 36, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982181
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 36, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.13', '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': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982182
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 36, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '36.13', 'subgroup_hash': 13, 'subgroup_order': 36, 'subgroup_tex': 'C_6:S_3', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982183
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 36, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982184
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 18, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.13', 'subgroup_hash': 13, 'subgroup_order': 36, 'subgroup_tex': 'C_6:S_3', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982185
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 18, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.7', 'subgroup_hash': 7, 'subgroup_order': 36, 'subgroup_tex': 'C_3^2:C_4', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982187
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 18, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.13', 'subgroup_hash': 13, 'subgroup_order': 36, 'subgroup_tex': 'C_6:S_3', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982188
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 18, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982189
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 32, 'counter': 52, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.18.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:S_3', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982190
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.18.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982191
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.18.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.5', 'subgroup_hash': 5, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2:C_8', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982192
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.18.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982193
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.18.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.12', 'subgroup_hash': 12, 'subgroup_order': 32, 'subgroup_tex': 'C_4:C_8', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982194
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 24, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982195
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 24, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.5', '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982196
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 24, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.5', '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982198
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 24, 'counter': 60, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '576.4267.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982199
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982200
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982201
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982202
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.24.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982203
              
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.24.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982204
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 12, 'counter': 66, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '576.4267.24.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982205
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.24.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982206
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 18, 'counter': 68, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.25', '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': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982207
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 18, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.36', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_8', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982209
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 18, 'counter': 70, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}:C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982210
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 9, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.4', 'subgroup_hash': 4, 'subgroup_order': 18, 'subgroup_tex': 'C_3:S_3', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982211
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 16, 'counter': 72, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.36.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:S_3', 'simple': False, 'solvable': True, 'special_labels': [], '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: 108982212
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 576, 'characteristic': True, 'core_order': 16, 'counter': 73, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.36.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:S_3', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982213
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 16, 'counter': 74, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.36.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '36.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '36.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982214
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.36.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982215
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.36.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982216
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.36.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982217
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.36.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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: 108982218
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.36.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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: 108982220
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.36.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': 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: 108982221
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 12, 'counter': 81, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.35', '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': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982222
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 12, 'counter': 82, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '576.4267.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.36', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 36, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{12}', 'simple': False, 'solvable': True, 'special_labels': ['C5'], '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: 108982223
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 12, 'counter': 83, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '576.4267.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.37', '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': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982224
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 12, 'counter': 84, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '576.4267.48.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982225
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982226
              
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.48.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982227
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.48.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982228
              
{'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.48.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982229
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 6, 'counter': 89, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '576.4267.48.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982231
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 9, 'counter': 90, 'cyclic': False, 'direct': False, 'hall': 3, 'label': '576.4267.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.115', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 115, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['L2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 3}
             
                      - 
              id: 108982232
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 576, 'characteristic': True, 'core_order': 8, 'counter': 91, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.72.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_6', '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: 108982233
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 8, 'counter': 92, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.72.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.32', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:S_3', '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: 108982234
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': True, 'core_order': 8, 'counter': 93, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.72.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.32', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 32, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:S_3', '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: 108982235
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 576, 'characteristic': False, 'core_order': 8, 'counter': 94, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '576.4267.72.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.33', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 33, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_{12}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982236
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.72.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982237
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.72.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': 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: 108982238
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.72.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': 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: 108982239
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.72.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': 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: 108982240
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 99, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '576.4267.72.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': 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: 108982123
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 4, 'counter': 100, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '576.4267.72.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': 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: 108982124
              
{'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.72.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982125
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 6, 'counter': 102, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '576.4267.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.80', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 80, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times D_{12}', 'simple': False, 'solvable': True, 'special_labels': ['C6'], '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: 108982126
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 6, 'counter': 103, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '576.4267.96.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.106', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 106, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_6', '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: 108982127
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 6, 'counter': 104, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '576.4267.96.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.108', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 108, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982128
              
{'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.96.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982129
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 576, 'characteristic': True, 'core_order': 4, 'counter': 106, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '576.4267.144.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.169', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 169, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982130
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 576, 'characteristic': True, 'core_order': 4, 'counter': 107, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '576.4267.144.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.170', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 170, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:D_{12}', '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: 108982131
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 576, 'characteristic': True, 'core_order': 4, 'counter': 108, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '576.4267.144.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.171', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 171, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}.D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982132
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 4, 'counter': 109, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '576.4267.144.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.85', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 85, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982134
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.144.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982135
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 111, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '576.4267.144.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': 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: 108982136
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.144.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982137
              
{'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '576.4267.144.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982138
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 2, 'counter': 114, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '576.4267.144.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': 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: 108982139
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 288, 'characteristic': False, 'core_order': 3, 'counter': 115, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '576.4267.192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.245', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 245, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8\\times D_{12}', 'simple': True, 'solvable': True, 'special_labels': ['C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982140
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 576, 'characteristic': True, 'core_order': 2, 'counter': 116, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '576.4267.288.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '288.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '288.730', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 730, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:D_{12}', '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: 108982141
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 576, 'characteristic': True, 'core_order': 2, 'counter': 117, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '576.4267.288.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '288.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '288.756', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 756, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:D_6', '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: 108982142
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 576, 'characteristic': True, 'core_order': 2, 'counter': 118, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '576.4267.288.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '288.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '288.758', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 758, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}.D_6', '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: 108982143
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 119, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '576.4267.288.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '288.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 288, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
             
                      - 
              id: 108982145
              
{'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '576.4267', 'ambient_counter': 4267, 'ambient_order': 576, 'ambient_tex': 'C_{24}:D_{12}', 'central': True, 'central_factor': False, 'centralizer_order': 576, 'characteristic': True, 'core_order': 1, 'counter': 120, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '576.4267.576.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '576.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '576.4267', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4267, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:D_{12}', '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 •   Show schema
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                      - 
              id: 108982123
              
{'ambient': '576.4267', 'aut_centralizer_order': 13824, 'aut_label': '72.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 27648, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.j1', '36.c1'], 'contains': ['144.c1'], 'core': '144.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [6479, -1, 7646, -1], 'generators': [234], 'label': '576.4267.72.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '36.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '72.j1', 'projective_image': '144.171', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982124
              
{'ambient': '576.4267', 'aut_centralizer_order': 384, 'aut_label': '72.k1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '8.3', 'aut_weyl_index': 13824, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.k1', '36.f1'], 'contains': ['144.d1', '144.g1'], 'core': '144.d1', 'coset_action_label': None, 'count': 36, 'diagramx': [2774, -1, 3026, -1], 'generators': [1, 18], 'label': '576.4267.72.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '72.k1', 'projective_image': '288.756', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.k1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
             
                      - 
              id: 108982121
              
{'ambient': '576.4267', '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': '36.b1', 'complements': ['576.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '3.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7115, 5418, 6259, 5338], 'generators': [1, 144, 288, 6, 12, 192, 8, 72], 'label': '576.4267.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '36.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
             
                      - 
              id: 108982122
              
{'ambient': '576.4267', 'aut_centralizer_order': 8, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '13824.kv', 'aut_weyl_index': 8, 'centralizer': '36.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1'], 'contains': ['8.a1', '8.c1', '8.g1', '12.f1'], 'core': '4.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2195, 533, 1775, 778], 'generators': [1, 192, 8, 6, 288, 12], 'label': '576.4267.4.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': ['2.c1'], 'normal_contains': ['8.a1', '8.c1', '8.g1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '144.169', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
             
                      - 
              id: 108982125
              
{'ambient': '576.4267', 'aut_centralizer_order': 13824, 'aut_label': '96.a1', 'aut_quo_index': 4, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 55296, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['32.a1', '48.a1', '48.b1', '48.c1', '48.e1', '48.f1'], 'contains': ['192.a1', '288.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3672, 4206, 3826, 5197], 'generators': [288, 8], 'label': '576.4267.96.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1', '48.b1', '48.c1'], 'normal_contains': ['192.a1', '288.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': '288.730', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.20', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982126
              
{'ambient': '576.4267', 'aut_centralizer_order': 13824, 'aut_label': '96.b1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 55296, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['32.b1', '48.a1', '48.d1', '48.g1'], 'contains': ['192.a1', '288.b1'], 'core': '96.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [1388, 2079, 2626, 3974], 'generators': [12, 8], 'label': '576.4267.96.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.b1', 'normal_contained_in': ['32.b1', '48.a1', '48.d1'], 'normal_contains': ['192.a1', '288.b1'], 'normalizer': '1.a1', 'old_label': '96.b1', 'projective_image': '288.756', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982127
              
{'ambient': '576.4267', 'aut_centralizer_order': 13824, 'aut_label': '96.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 55296, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['32.c1', '48.a1', '48.h1', '48.i1'], 'contains': ['192.a1', '288.c1'], 'core': '96.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [2184, 3285, 2811, 4382], 'generators': [300, 8], 'label': '576.4267.96.c1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.c1', 'normal_contained_in': ['32.c1', '48.a1'], 'normal_contains': ['192.a1', '288.c1'], 'normalizer': '1.a1', 'old_label': '96.c1', 'projective_image': '288.758', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982128
              
{'ambient': '576.4267', 'aut_centralizer_order': 192, 'aut_label': '96.d1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '6.1', 'aut_weyl_index': 18432, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['32.d1', '48.e1', '48.g1', '48.h1'], 'contains': ['192.a1', '288.d1'], 'core': '192.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1594, -1, 2436, -1], 'generators': [23, 8], 'label': '576.4267.96.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '96.d1', 'projective_image': '576.4267', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.d1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
             
                      - 
              id: 108982129
              
{'ambient': '576.4267', 'aut_centralizer_order': 110592, 'aut_label': '144.a1', 'aut_quo_index': 8, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 110592, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '72.a1', '72.b1', '72.c1', '72.e1', '72.f1'], 'contains': ['288.a1', '288.b1', '288.c1'], 'core': '144.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4382, 5079, 4301, 5632], 'generators': [12, 288], 'label': '576.4267.144.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '144.a1', 'normal_contained_in': ['48.a1', '72.a1', '72.b1', '72.c1'], 'normal_contains': ['288.a1', '288.b1', '288.c1'], 'normalizer': '1.a1', 'old_label': '144.a1', 'projective_image': '144.169', 'quotient_action_image': '1.1', 'quotient_action_kernel': '144.169', 'quotient_action_kernel_order': 144, 'quotient_fusion': None, 'short_label': '144.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982130
              
{'ambient': '576.4267', 'aut_centralizer_order': 55296, 'aut_label': '144.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 55296, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.b1', '72.a1', '72.d1', '72.g1', '72.i1'], 'contains': ['288.a1'], 'core': '144.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7341, 6982, 7034, 7754], 'generators': [144], 'label': '576.4267.144.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.b1', 'normal_contained_in': ['48.b1', '72.a1', '72.d1'], 'normal_contains': ['288.a1'], 'normalizer': '1.a1', 'old_label': '144.b1', 'projective_image': '144.170', 'quotient_action_image': '1.1', 'quotient_action_kernel': '144.170', 'quotient_action_kernel_order': 144, 'quotient_fusion': None, 'short_label': '144.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982131
              
{'ambient': '576.4267', 'aut_centralizer_order': 55296, 'aut_label': '144.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 55296, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.c1', '72.a1', '72.h1', '72.j1'], 'contains': ['288.a1'], 'core': '144.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [6195, 5606, 5888, 6170], 'generators': [156], 'label': '576.4267.144.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.c1', 'normal_contained_in': ['48.c1', '72.a1'], 'normal_contains': ['288.a1'], 'normalizer': '1.a1', 'old_label': '144.c1', 'projective_image': '144.171', 'quotient_action_image': '1.1', 'quotient_action_kernel': '144.171', 'quotient_action_kernel_order': 144, 'quotient_fusion': None, 'short_label': '144.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982132
              
{'ambient': '576.4267', 'aut_centralizer_order': 27648, 'aut_label': '144.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 55296, 'centralizer': '2.d1', 'complements': ['4.i1'], 'conjugacy_class_count': 2, 'contained_in': ['48.d1', '72.b1', '72.k1'], 'contains': ['288.b1'], 'core': '144.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [2301, 3843, 3389, 4789], 'generators': [18], 'label': '576.4267.144.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '144.d1', 'normal_contained_in': ['48.d1', '72.b1'], 'normal_contains': ['288.b1'], 'normalizer': '1.a1', 'old_label': '144.d1', 'projective_image': '288.756', 'quotient_action_image': '2.1', 'quotient_action_kernel': '72.14', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '144.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982133
              
{'ambient': '576.4267', 'aut_centralizer_order': 288, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '384.20055', 'aut_weyl_index': 288, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '2.d1', '2.e1'], 'contains': ['8.b1', '8.c1', '8.d1', '12.a1'], 'core': '4.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [5012, 5116, 4235, 5055], 'generators': [6, 288, 12, 144, 8, 192], 'label': '576.4267.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.c1', '2.d1', '2.e1'], 'normal_contains': ['8.b1', '8.c1', '8.d1', '12.a1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982134
              
{'ambient': '576.4267', 'aut_centralizer_order': 1536, 'aut_label': '144.e1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '2.1', 'aut_weyl_index': 55296, 'centralizer': '18.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.e1', '72.e1', '72.g1', '72.h1'], 'contains': ['288.a1', '288.d1'], 'core': '288.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [4707, -1, 4069, -1], 'generators': [23, 288], 'label': '576.4267.144.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.b1', 'old_label': '144.e1', 'projective_image': '288.730', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982135
              
{'ambient': '576.4267', 'aut_centralizer_order': 1536, 'aut_label': '144.f1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '2.1', 'aut_weyl_index': 55296, 'centralizer': '18.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.f1', '72.f1', '72.g1', '72.h1'], 'contains': ['288.a1'], 'core': '288.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [5436, -1, 5205, -1], 'generators': [167], 'label': '576.4267.144.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.b1', 'old_label': '144.f1', 'projective_image': '288.730', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982136
              
{'ambient': '576.4267', 'aut_centralizer_order': 1536, 'aut_label': '144.g1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '2.1', 'aut_weyl_index': 55296, 'centralizer': '18.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.g1', '72.e1', '72.k1'], 'contains': ['288.b1', '288.d1'], 'core': '288.b1', 'coset_action_label': None, 'count': 36, 'diagramx': [2629, -1, 3001, -1], 'generators': [23, 12], 'label': '576.4267.144.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '144.g1', 'projective_image': '288.756', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982137
              
{'ambient': '576.4267', 'aut_centralizer_order': 1536, 'aut_label': '144.h1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '2.1', 'aut_weyl_index': 55296, 'centralizer': '18.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.h1', '72.e1'], 'contains': ['288.c1', '288.d1'], 'core': '288.c1', 'coset_action_label': None, 'count': 36, 'diagramx': [3016, -1, 3201, -1], 'generators': [23, 300], 'label': '576.4267.144.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.b1', 'old_label': '144.h1', 'projective_image': '288.758', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982138
              
{'ambient': '576.4267', 'aut_centralizer_order': 27648, 'aut_label': '144.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 55296, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.i1', '72.c1'], 'contains': ['288.c1'], 'core': '288.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [3236, -1, 3565, -1], 'generators': [162], 'label': '576.4267.144.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '72.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '144.i1', 'projective_image': '288.758', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982139
              
{'ambient': '576.4267', 'aut_centralizer_order': 13824, 'aut_label': '192.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 55296, 'centralizer': '2.d1', 'complements': ['3.a1'], 'conjugacy_class_count': 4, 'contained_in': ['64.a1', '96.a1', '96.b1', '96.c1', '96.d1'], 'contains': ['576.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1858, 3278, 2719, 4382], 'generators': [8], 'label': '576.4267.192.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.a1', 'normal_contained_in': ['64.a1', '96.a1', '96.b1', '96.c1'], 'normal_contains': ['576.a1'], 'normalizer': '1.a1', 'old_label': '192.a1', 'projective_image': '576.4267', 'quotient_action_image': '2.1', 'quotient_action_kernel': '96.46', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '192.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982140
              
{'ambient': '576.4267', 'aut_centralizer_order': 110592, 'aut_label': '288.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 110592, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.a1', '144.a1', '144.b1', '144.c1', '144.e1', '144.f1'], 'contains': ['576.a1'], 'core': '288.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4707, 5098, 4301, 5632], 'generators': [288], 'label': '576.4267.288.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '288.a1', 'normal_contained_in': ['96.a1', '144.a1', '144.b1', '144.c1'], 'normal_contains': ['576.a1'], 'normalizer': '1.a1', 'old_label': '288.a1', 'projective_image': '288.730', 'quotient_action_image': '1.1', 'quotient_action_kernel': '288.730', 'quotient_action_kernel_order': 288, 'quotient_fusion': None, 'short_label': '288.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982141
              
{'ambient': '576.4267', 'aut_centralizer_order': 110592, 'aut_label': '288.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 110592, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.b1', '144.a1', '144.d1', '144.g1'], 'contains': ['576.a1'], 'core': '288.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2412, 3843, 3277, 4789], 'generators': [12], 'label': '576.4267.288.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '288.b1', 'normal_contained_in': ['96.b1', '144.a1', '144.d1'], 'normal_contains': ['576.a1'], 'normalizer': '1.a1', 'old_label': '288.b1', 'projective_image': '288.756', 'quotient_action_image': '1.1', 'quotient_action_kernel': '288.756', 'quotient_action_kernel_order': 288, 'quotient_fusion': None, 'short_label': '288.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982142
              
{'ambient': '576.4267', 'aut_centralizer_order': 110592, 'aut_label': '288.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 110592, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.c1', '144.a1', '144.h1', '144.i1'], 'contains': ['576.a1'], 'core': '288.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [3016, 4279, 3452, 5197], 'generators': [300], 'label': '576.4267.288.c1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '288.c1', 'normal_contained_in': ['96.c1', '144.a1'], 'normal_contains': ['576.a1'], 'normalizer': '1.a1', 'old_label': '288.c1', 'projective_image': '288.758', 'quotient_action_image': '1.1', 'quotient_action_kernel': '288.758', 'quotient_action_kernel_order': 288, 'quotient_fusion': None, 'short_label': '288.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982143
              
{'ambient': '576.4267', 'aut_centralizer_order': 1536, 'aut_label': '288.d1', 'aut_quo_index': None, 'aut_stab_index': 72, 'aut_weyl_group': '1.1', 'aut_weyl_index': 110592, 'centralizer': '18.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.d1', '144.e1', '144.g1', '144.h1'], 'contains': ['576.a1'], 'core': '576.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [2683, -1, 3101, -1], 'generators': [23], 'label': '576.4267.288.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.b1', 'old_label': '288.d1', 'projective_image': '576.4267', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982144
              
{'ambient': '576.4267', 'aut_centralizer_order': 288, 'aut_label': '4.e1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '384.20055', 'aut_weyl_index': 288, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.d1'], 'contains': ['8.b1', '8.f1', '12.b1'], 'core': '4.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [7272, 8073, 6105, 7816], 'generators': [12, 288, 144, 72, 8, 192], 'label': '576.4267.4.e1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1', 'normal_contained_in': ['2.a1', '2.d1'], 'normal_contains': ['8.b1', '8.f1', '12.b1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': '36.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982145
              
{'ambient': '576.4267', 'aut_centralizer_order': None, 'aut_label': '576.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['192.a1', '288.a1', '288.b1', '288.c1', '288.d1'], 'contains': [], 'core': '576.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2683, 4060, 3277, 4993], 'generators': [], 'label': '576.4267.576.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '576.a1', 'normal_contained_in': ['192.a1', '288.a1', '288.b1', '288.c1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '576.a1', 'projective_image': '576.4267', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982146
              
{'ambient': '576.4267', 'aut_centralizer_order': 288, 'aut_label': '4.f1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '384.20055', 'aut_weyl_index': 288, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '2.d1'], 'contains': ['8.b1', '8.k1', '12.c1'], 'core': '4.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [6107, 7086, 5708, 6894], 'generators': [78, 288, 156, 144, 8, 192], 'label': '576.4267.4.f1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1', 'normal_contained_in': ['2.b1', '2.d1'], 'normal_contains': ['8.b1', '12.c1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982147
              
{'ambient': '576.4267', 'aut_centralizer_order': 16, 'aut_label': '4.g1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '3456.ks', 'aut_weyl_index': 32, 'centralizer': '36.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.b1', '2.e1'], 'contains': ['8.b1', '8.j1', '12.g1'], 'core': '4.g1', 'coset_action_label': None, 'count': 2, 'diagramx': [6770, 6019, 6534, 5898], 'generators': [47, 192, 8, 12, 432, 288], 'label': '576.4267.4.g1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1', 'normal_contained_in': ['2.a1', '2.b1', '2.e1'], 'normal_contains': ['8.b1'], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
             
                      - 
              id: 108982148
              
{'ambient': '576.4267', 'aut_centralizer_order': 8, 'aut_label': '4.h1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '13824.kv', 'aut_weyl_index': 8, 'centralizer': '36.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.c1'], 'contains': ['8.c1', '8.e1', '12.h1'], 'core': '4.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [3940, 1606, 3523, 1779], 'generators': [145, 192, 8, 6, 12, 288], 'label': '576.4267.4.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': ['2.c1'], 'normal_contains': ['8.c1', '8.e1'], 'normalizer': '1.a1', 'old_label': '4.h1', 'projective_image': '144.169', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
             
                      - 
              id: 108982149
              
{'ambient': '576.4267', 'aut_centralizer_order': 4, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '3456.ks', 'aut_weyl_index': 32, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.a1'], 'contains': ['8.f1', '8.h1', '8.j1', '12.i1'], 'core': '8.f1', 'coset_action_label': None, 'count': 8, 'diagramx': [7960, -1, 6966, -1], 'generators': [23, 192, 8, 72, 144, 288], 'label': '576.4267.4.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '4.i1', 'projective_image': '72.33', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
             
                      - 
              id: 108982150
              
{'ambient': '576.4267', 'aut_centralizer_order': 432, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '64.267', 'aut_weyl_index': 1728, 'centralizer': '2.d1', 'complements': ['96.d1'], 'conjugacy_class_count': 4, 'contained_in': ['2.d1', '3.a1'], 'contains': ['12.a1', '12.b1', '12.c1', '18.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8788, 8685, 7368, 8738], 'generators': [6, 288, 432, 216, 8, 12], 'label': '576.4267.6.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1', 'normal_contained_in': ['2.d1'], 'normal_contains': ['12.a1', '12.b1', '12.c1', '18.a1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '36.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982151
              
{'ambient': '576.4267', 'aut_centralizer_order': 24, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '192.1542', 'aut_weyl_index': 576, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.b1', '12.d1', '12.g1', '12.i1', '18.b1'], 'core': '12.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [9322, -1, 8338, -1], 'generators': [23, 8, 288, 12, 216, 432], 'label': '576.4267.6.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.b1', 'projective_image': '36.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
             
                      - 
              id: 108982152
              
{'ambient': '576.4267', 'aut_centralizer_order': 24, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '192.1542', 'aut_weyl_index': 576, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.c1', '12.d1', '12.g1', '18.c1'], 'core': '12.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [6913, -1, 7970, -1], 'generators': [1, 8, 288, 78, 12, 144], 'label': '576.4267.6.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.c1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
             
                      - 
              id: 108982153
              
{'ambient': '576.4267', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '36.b1', 'complements': ['288.d1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.e1', '4.g1', '4.i1', '6.b1'], 'core': '2.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7979, 6764, 7022, 6594], 'generators': [23, 8, 288, 12, 192, 72, 144], 'label': '576.4267.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.e1', '4.g1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '36.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
             
                      - 
              id: 108982154
              
{'ambient': '576.4267', 'aut_centralizer_order': 24, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '384.18491', 'aut_weyl_index': 288, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.c1', '3.a1'], 'contains': ['12.a1', '12.d1', '12.e1', '12.f1', '12.h1', '18.d1'], 'core': '12.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6400, -1, 5157, -1], 'generators': [1, 8, 288, 6, 144, 12], 'label': '576.4267.6.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.d1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
             
                      - 
              id: 108982155
              
{'ambient': '576.4267', 'aut_centralizer_order': 24, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '384.18491', 'aut_weyl_index': 288, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.e1', '3.a1'], 'contains': ['12.a1', '12.g1', '18.e1'], 'core': '12.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8387, -1, 7712, -1], 'generators': [25, 8, 288, 6, 12, 432], 'label': '576.4267.6.e1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.e1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
             
                      - 
              id: 108982156
              
{'ambient': '576.4267', 'aut_centralizer_order': 32, 'aut_label': '8.a1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '1728.47845', 'aut_weyl_index': 64, 'centralizer': '36.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.b1', '4.c1'], 'contains': ['16.a1', '16.d1', '16.f1', '16.h1', '24.e1'], 'core': '8.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1696, 2588, 1348, 1151], 'generators': [23, 192, 12, 288, 8], 'label': '576.4267.8.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1'], 'normal_contains': ['16.a1', '16.d1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '144.169', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
             
                      - 
              id: 108982157
              
{'ambient': '576.4267', 'aut_centralizer_order': 1152, 'aut_label': '8.b1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '96.189', 'aut_weyl_index': 1152, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.d1', '4.e1', '4.f1', '4.g1'], 'contains': ['16.a1', '16.b1', '16.c1', '24.a1'], 'core': '8.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4701, 6019, 4352, 5055], 'generators': [12, 288, 144, 8, 192], 'label': '576.4267.8.b1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.d1', '4.e1', '4.f1', '4.g1'], 'normal_contains': ['16.a1', '16.b1', '16.c1', '24.a1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982158
              
{'ambient': '576.4267', 'aut_centralizer_order': 576, 'aut_label': '8.c1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '192.1475', 'aut_weyl_index': 576, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '4.d1', '4.h1'], 'contains': ['16.a1', '16.e1', '24.b1'], 'core': '8.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2195, 1527, 1775, 2141], 'generators': [6, 12, 288, 8, 192], 'label': '576.4267.8.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': ['4.c1', '4.d1', '4.h1'], 'normal_contains': ['16.a1', '16.e1', '24.b1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '144.169', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982159
              
{'ambient': '576.4267', 'aut_centralizer_order': 576, 'aut_label': '8.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '192.1475', 'aut_weyl_index': 576, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1', '4.d1'], 'contains': ['16.a1', '16.i1', '24.c1'], 'core': '8.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [2899, 4794, 2172, 4133], 'generators': [438, 300, 288, 8, 192], 'label': '576.4267.8.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': ['4.b1', '4.d1'], 'normal_contains': ['16.a1', '24.c1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '144.169', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982160
              
{'ambient': '576.4267', 'aut_centralizer_order': 32, 'aut_label': '8.e1', 'aut_quo_index': 4, 'aut_stab_index': 2, 'aut_weyl_group': '1728.47845', 'aut_weyl_index': 64, 'centralizer': '36.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.b1', '4.h1'], 'contains': ['16.a1', '16.g1', '24.f1'], 'core': '8.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [3401, 3728, 3001, 3137], 'generators': [167, 192, 12, 288, 8], 'label': '576.4267.8.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': ['4.a1', '4.b1', '4.h1'], 'normal_contains': ['16.a1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': '144.169', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
             
                      - 
              id: 108982161
              
{'ambient': '576.4267', 'aut_centralizer_order': 288, 'aut_label': '8.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '192.1475', 'aut_weyl_index': 576, 'centralizer': '2.d1', 'complements': ['72.k1'], 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '4.i1'], 'contains': ['16.b1', '24.d1'], 'core': '8.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [7842, 7024, 6800, 6900], 'generators': [72, 288, 8, 192, 144], 'label': '576.4267.8.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': ['4.e1'], 'normal_contains': ['16.b1', '24.d1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': '72.33', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982162
              
{'ambient': '576.4267', 'aut_centralizer_order': 8, 'aut_label': '8.g1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '3456.in', 'aut_weyl_index': 32, 'centralizer': '36.b1', 'complements': ['72.d1', '72.j1', '72.i1'], 'conjugacy_class_count': 4, 'contained_in': ['4.c1'], 'contains': ['16.d1', '16.e1', '24.k1'], 'core': '8.g1', 'coset_action_label': None, 'count': 4, 'diagramx': [826, 673, 975, 286], 'generators': [1, 192, 6, 12, 8], 'label': '576.4267.8.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': ['4.c1'], 'normal_contains': ['16.d1', '16.e1'], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': '288.756', 'quotient_action_image': '1.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
             
                      - 
              id: 108982163
              
{'ambient': '576.4267', 'aut_centralizer_order': 16, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1728.47845', 'aut_weyl_index': 64, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.i1'], 'contains': ['16.b1', '16.f1', '16.g1', '24.g1'], 'core': '16.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [5279, -1, 4754, -1], 'generators': [23, 192, 144, 288, 8], 'label': '576.4267.8.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.h1', 'projective_image': '144.170', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
             
                      - 
              id: 108982164
              
{'ambient': '576.4267', 'aut_centralizer_order': 4, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '36.b1', 'complements': ['288.d1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.f1', '4.g1', '6.c1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [6346, 5418, 6481, 5338], 'generators': [1, 8, 288, 78, 192, 12, 144], 'label': '576.4267.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.f1', '4.g1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
             
                      - 
              id: 108982165
              
{'ambient': '576.4267', 'aut_centralizer_order': 16, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1728.47845', 'aut_weyl_index': 64, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1'], 'contains': ['16.c1', '16.f1', '16.g1', '24.h1'], 'core': '16.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [4014, -1, 3950, -1], 'generators': [11, 192, 156, 288, 8], 'label': '576.4267.8.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.i1', 'projective_image': '144.171', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
             
                      - 
              id: 108982166
              
{'ambient': '576.4267', 'aut_centralizer_order': 16, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1728.47845', 'aut_weyl_index': 64, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.g1', '4.i1'], 'contains': ['16.b1', '24.i1'], 'core': '16.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [7122, -1, 7136, -1], 'generators': [47, 192, 432, 288, 8], 'label': '576.4267.8.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.j1', 'projective_image': '144.170', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
             
                      - 
              id: 108982167
              
{'ambient': '576.4267', 'aut_centralizer_order': 288, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '192.1475', 'aut_weyl_index': 576, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1'], 'contains': ['16.c1', '24.j1'], 'core': '16.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [5858, -1, 6403, -1], 'generators': [78, 288, 8, 192, 156], 'label': '576.4267.8.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.k1', 'projective_image': '144.171', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982168
              
{'ambient': '576.4267', 'aut_centralizer_order': 48, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '256.55643', 'aut_weyl_index': 432, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['18.a1', '18.b1', '18.c1', '18.d1', '18.e1'], 'core': '18.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9673, -1, 9111, -1], 'generators': [1, 18, 216], 'label': '576.4267.9.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '9.a1', 'projective_image': '36.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
             
                      - 
              id: 108982169
              
{'ambient': '576.4267', 'aut_centralizer_order': 1728, 'aut_label': '12.a1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6912, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.d1', '6.a1', '6.d1', '6.e1'], 'contains': ['24.a1', '24.b1', '24.c1', '36.a1'], 'core': '12.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6831, 6152, 5157, 5977], 'generators': [6, 288, 144, 8, 12], 'label': '576.4267.12.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.a1', 'normal_contained_in': ['4.d1', '6.a1'], 'normal_contains': ['24.a1', '24.b1', '24.c1', '36.a1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982170
              
{'ambient': '576.4267', 'aut_centralizer_order': 1728, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6912, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.e1', '6.a1', '6.b1'], 'contains': ['24.a1', '24.d1', '36.b1'], 'core': '12.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [8672, 8625, 7870, 8744], 'generators': [12, 288, 216, 8, 432], 'label': '576.4267.12.b1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.b1', 'normal_contained_in': ['4.e1', '6.a1'], 'normal_contains': ['24.a1', '24.d1', '36.b1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '36.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982171
              
{'ambient': '576.4267', 'aut_centralizer_order': 1728, 'aut_label': '12.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6912, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['4.f1', '6.a1', '6.c1'], 'contains': ['24.a1', '24.j1', '36.c1'], 'core': '12.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [7406, 7636, 7473, 7821], 'generators': [78, 288, 144, 8, 156], 'label': '576.4267.12.c1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.c1', 'normal_contained_in': ['4.f1', '6.a1'], 'normal_contains': ['24.a1', '36.c1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982172
              
{'ambient': '576.4267', 'aut_centralizer_order': 96, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '48.51', 'aut_weyl_index': 2304, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.a1', '6.b1', '6.c1', '6.d1'], 'contains': ['24.a1', '24.e1', '24.f1', '24.g1', '24.h1', '36.d1'], 'core': '24.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5756, -1, 5613, -1], 'generators': [23, 8, 12, 144, 288], 'label': '576.4267.12.d1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.d1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
             
                      - 
              id: 108982173
              
{'ambient': '576.4267', 'aut_centralizer_order': 48, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '96.230', 'aut_weyl_index': 1152, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.b1', '6.d1'], 'contains': ['24.c1', '24.e1', '24.f1', '36.e1'], 'core': '24.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [4133, -1, 3343, -1], 'generators': [1, 8, 438, 12, 288], 'label': '576.4267.12.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.e1', 'projective_image': '144.169', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
             
                      - 
              id: 108982174
              
{'ambient': '576.4267', 'aut_centralizer_order': 48, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '192.1147', 'aut_weyl_index': 576, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.c1', '6.d1'], 'contains': ['24.b1', '24.e1', '24.k1', '36.f1'], 'core': '24.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [3090, -1, 2572, -1], 'generators': [1, 8, 6, 288, 12], 'label': '576.4267.12.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.f1', 'projective_image': '144.169', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
             
                      - 
              id: 108982175
              
{'ambient': '576.4267', 'aut_centralizer_order': 4, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '36.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.c1', '4.d1', '4.h1', '6.d1'], 'core': '2.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4513, 2976, 4235, 3058], 'generators': [1, 8, 288, 6, 192, 144, 12], 'label': '576.4267.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.c1', '4.d1', '4.h1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
             
                      - 
              id: 108982176
              
{'ambient': '576.4267', 'aut_centralizer_order': 96, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '48.51', 'aut_weyl_index': 2304, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.g1', '6.b1', '6.c1', '6.e1'], 'contains': ['24.a1', '24.i1', '36.g1'], 'core': '24.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8093, -1, 8602, -1], 'generators': [47, 8, 12, 432, 288], 'label': '576.4267.12.g1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.g1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
             
                      - 
              id: 108982177
              
{'ambient': '576.4267', 'aut_centralizer_order': 48, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '192.1147', 'aut_weyl_index': 576, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.h1', '6.d1'], 'contains': ['24.b1', '24.f1', '36.h1'], 'core': '24.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [5069, -1, 3601, -1], 'generators': [145, 8, 6, 12, 288], 'label': '576.4267.12.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.h1', 'projective_image': '144.169', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
             
                      - 
              id: 108982178
              
{'ambient': '576.4267', 'aut_centralizer_order': 24, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '48.51', 'aut_weyl_index': 2304, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['4.i1', '6.b1'], 'contains': ['24.d1', '24.g1', '24.i1', '36.i1'], 'core': '24.d1', 'coset_action_label': None, 'count': 96, 'diagramx': [9096, -1, 8234, -1], 'generators': [23, 8, 216, 432, 288], 'label': '576.4267.12.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '12.i1', 'projective_image': '72.33', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
             
                      - 
              id: 108982179
              
{'ambient': '576.4267', 'aut_centralizer_order': 2304, 'aut_label': '16.a1', 'aut_quo_index': 48, 'aut_stab_index': 1, 'aut_weyl_group': '48.29', 'aut_weyl_index': 2304, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1'], 'contains': ['32.a1', '32.b1', '32.c1', '48.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1722, 3176, 1902, 2701], 'generators': [12, 288, 8, 192], 'label': '576.4267.16.a1', 'mobius_quo': 6, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1'], 'normal_contains': ['32.a1', '32.b1', '32.c1', '48.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '144.169', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982180
              
{'ambient': '576.4267', 'aut_centralizer_order': 1152, 'aut_label': '16.b1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '96.189', 'aut_weyl_index': 1152, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '8.f1', '8.h1', '8.j1'], 'contains': ['32.a1', '48.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6405, 5352, 6027, 6164], 'generators': [144, 8, 192, 288], 'label': '576.4267.16.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.b1', '8.f1'], 'normal_contains': ['32.a1', '48.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '144.170', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982181
              
{'ambient': '576.4267', 'aut_centralizer_order': 1152, 'aut_label': '16.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '96.189', 'aut_weyl_index': 1152, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '8.i1', '8.k1'], 'contains': ['32.a1', '48.c1'], 'core': '16.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4638, 4128, 5300, 4320], 'generators': [156, 8, 192, 288], 'label': '576.4267.16.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': ['8.b1'], 'normal_contains': ['32.a1', '48.c1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '144.171', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982182
              
{'ambient': '576.4267', 'aut_centralizer_order': 32, 'aut_label': '16.d1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '864.4661', 'aut_weyl_index': 128, 'centralizer': '36.b1', 'complements': ['36.i1'], 'conjugacy_class_count': 4, 'contained_in': ['8.a1', '8.g1'], 'contains': ['32.b1', '32.d1', '48.g1'], 'core': '16.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [211, 2127, 180, 1072], 'generators': [23, 12, 8, 192], 'label': '576.4267.16.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': ['8.a1', '8.g1'], 'normal_contains': ['32.b1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': '288.756', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
             
                      - 
              id: 108982183
              
{'ambient': '576.4267', 'aut_centralizer_order': 576, 'aut_label': '16.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '96.189', 'aut_weyl_index': 1152, 'centralizer': '2.d1', 'complements': ['36.i1'], 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '8.g1'], 'contains': ['32.b1', '48.d1'], 'core': '16.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [681, 1127, 987, 2006], 'generators': [6, 8, 192, 12], 'label': '576.4267.16.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': ['8.c1', '8.g1'], 'normal_contains': ['32.b1', '48.d1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': '288.756', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982184
              
{'ambient': '576.4267', 'aut_centralizer_order': 32, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '864.4661', 'aut_weyl_index': 128, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '8.h1', '8.i1'], 'contains': ['32.a1', '32.d1', '48.e1'], 'core': '32.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2651, -1, 2204, -1], 'generators': [23, 288, 8, 192], 'label': '576.4267.16.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.f1', 'projective_image': '288.730', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
             
                      - 
              id: 108982185
              
{'ambient': '576.4267', 'aut_centralizer_order': 32, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '864.4661', 'aut_weyl_index': 128, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.e1', '8.h1', '8.i1'], 'contains': ['32.a1', '48.f1'], 'core': '32.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3701, -1, 4055, -1], 'generators': [167, 288, 8, 192], 'label': '576.4267.16.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.g1', 'projective_image': '288.730', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
             
                      - 
              id: 108982186
              
{'ambient': '576.4267', 'aut_centralizer_order': 72, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1536.408640924', 'aut_weyl_index': 72, 'centralizer': '2.d1', 'complements': ['288.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.d1', '4.e1', '4.f1', '6.a1'], 'core': '2.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [7364, 8073, 5610, 7816], 'generators': [6, 144, 12, 72, 288, 8, 192], 'label': '576.4267.2.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.d1', '4.e1', '4.f1', '6.a1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': '36.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982187
              
{'ambient': '576.4267', 'aut_centralizer_order': 32, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '864.4661', 'aut_weyl_index': 128, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.a1'], 'contains': ['32.c1', '32.d1', '48.h1'], 'core': '32.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [1260, -1, 585, -1], 'generators': [23, 300, 8, 192], 'label': '576.4267.16.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '16.h1', 'projective_image': '288.758', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
             
                      - 
              id: 108982188
              
{'ambient': '576.4267', 'aut_centralizer_order': 576, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '96.189', 'aut_weyl_index': 1152, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1'], 'contains': ['32.c1', '48.i1'], 'core': '32.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2181, -1, 1385, -1], 'generators': [438, 8, 192, 300], 'label': '576.4267.16.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.i1', 'projective_image': '288.758', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982189
              
{'ambient': '576.4267', 'aut_centralizer_order': 3456, 'aut_label': '18.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.51', 'aut_weyl_index': 3456, 'centralizer': '2.d1', 'complements': ['32.d1'], 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '9.a1'], 'contains': ['36.a1', '36.b1', '36.c1'], 'core': '18.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9370, 8934, 8972, 9593], 'generators': [18, 216], 'label': '576.4267.18.a1', 'mobius_quo': 0, 'mobius_sub': -27, 'normal_closure': '18.a1', 'normal_contained_in': ['6.a1'], 'normal_contains': ['36.a1', '36.b1', '36.c1'], 'normalizer': '1.a1', 'old_label': '18.a1', 'projective_image': '36.13', 'quotient_action_image': '2.1', 'quotient_action_kernel': '9.2', 'quotient_action_kernel_order': 9, 'quotient_fusion': None, 'short_label': '18.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982190
              
{'ambient': '576.4267', 'aut_centralizer_order': 192, 'aut_label': '18.b1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '32.51', 'aut_weyl_index': 3456, 'centralizer': '18.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.b1', '9.a1'], 'contains': ['36.b1', '36.d1', '36.g1', '36.i1'], 'core': '36.b1', 'coset_action_label': None, 'count': 18, 'diagramx': [9789, -1, 9831, -1], 'generators': [23, 12, 216], 'label': '576.4267.18.b1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '18.b1', 'projective_image': '36.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982191
              
{'ambient': '576.4267', 'aut_centralizer_order': 192, 'aut_label': '18.c1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '32.51', 'aut_weyl_index': 3456, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.c1', '9.a1'], 'contains': ['36.c1', '36.d1', '36.g1'], 'core': '36.c1', 'coset_action_label': None, 'count': 18, 'diagramx': [8211, -1, 9501, -1], 'generators': [1, 234], 'label': '576.4267.18.c1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '18.c1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
             
                      - 
              id: 108982192
              
{'ambient': '576.4267', 'aut_centralizer_order': 192, 'aut_label': '18.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1728, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1', '9.a1'], 'contains': ['36.a1', '36.d1', '36.e1', '36.f1', '36.h1'], 'core': '36.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7309, -1, 6037, -1], 'generators': [1, 18, 144], 'label': '576.4267.18.d1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '18.d1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
             
                      - 
              id: 108982193
              
{'ambient': '576.4267', 'aut_centralizer_order': 192, 'aut_label': '18.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '64.202', 'aut_weyl_index': 1728, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1', '9.a1'], 'contains': ['36.a1', '36.g1'], 'core': '36.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [9046, -1, 9250, -1], 'generators': [25, 18], 'label': '576.4267.18.e1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '18.e1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
             
                      - 
              id: 108982194
              
{'ambient': '576.4267', 'aut_centralizer_order': 6912, 'aut_label': '24.a1', 'aut_quo_index': 12, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 27648, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.b1', '12.a1', '12.b1', '12.c1', '12.d1', '12.g1'], 'contains': ['48.a1', '48.b1', '48.c1', '72.a1'], 'core': '24.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6588, 6613, 6754, 7086], 'generators': [12, 144, 8, 288], 'label': '576.4267.24.a1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.a1', 'normal_contained_in': ['8.b1', '12.a1', '12.b1', '12.c1'], 'normal_contains': ['48.a1', '48.b1', '48.c1', '72.a1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982195
              
{'ambient': '576.4267', 'aut_centralizer_order': 3456, 'aut_label': '24.b1', 'aut_quo_index': 2, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 13824, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.c1', '12.a1', '12.f1', '12.h1'], 'contains': ['48.a1', '48.d1', '72.b1'], 'core': '24.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [3398, 3473, 2987, 3397], 'generators': [6, 288, 8, 12], 'label': '576.4267.24.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': ['8.c1', '12.a1'], 'normal_contains': ['48.a1', '48.d1', '72.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '144.169', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982196
              
{'ambient': '576.4267', 'aut_centralizer_order': 3456, 'aut_label': '24.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 13824, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.d1', '12.a1', '12.e1'], 'contains': ['48.a1', '48.i1', '72.c1'], 'core': '24.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [3862, 5388, 3384, 5242], 'generators': [438, 288, 8, 300], 'label': '576.4267.24.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': ['8.d1', '12.a1'], 'normal_contains': ['48.a1', '72.c1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '144.169', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982197
              
{'ambient': '576.4267', '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': '36.b1', 'complements': ['288.d1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.d1', '4.g1', '6.e1'], 'core': '2.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [6865, 4316, 6037, 4308], 'generators': [25, 8, 288, 6, 192, 12, 432], 'label': '576.4267.2.e1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.d1', '4.g1'], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
             
                      - 
              id: 108982198
              
{'ambient': '576.4267', 'aut_centralizer_order': 1728, 'aut_label': '24.d1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '8.5', 'aut_weyl_index': 13824, 'centralizer': '2.d1', 'complements': ['24.k1'], 'conjugacy_class_count': 8, 'contained_in': ['8.f1', '12.b1', '12.i1'], 'contains': ['48.b1', '72.d1'], 'core': '24.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [8544, 7607, 7861, 8263], 'generators': [216, 8, 432, 288], 'label': '576.4267.24.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': ['8.f1', '12.b1'], 'normal_contains': ['48.b1', '72.d1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': '72.33', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982199
              
{'ambient': '576.4267', 'aut_centralizer_order': 192, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4608, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.a1', '12.d1', '12.e1', '12.f1'], 'contains': ['48.a1', '48.e1', '48.g1', '48.h1', '72.e1'], 'core': '48.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2942, -1, 2597, -1], 'generators': [23, 12, 288, 8], 'label': '576.4267.24.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.e1', 'projective_image': '144.169', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
             
                      - 
              id: 108982200
              
{'ambient': '576.4267', 'aut_centralizer_order': 192, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4608, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.e1', '12.d1', '12.e1', '12.h1'], 'contains': ['48.a1', '48.f1', '72.f1'], 'core': '48.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4550, -1, 4396, -1], 'generators': [167, 12, 288, 8], 'label': '576.4267.24.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.f1', 'projective_image': '144.169', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
             
                      - 
              id: 108982201
              
{'ambient': '576.4267', 'aut_centralizer_order': 96, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4608, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.h1', '12.d1', '12.i1'], 'contains': ['48.b1', '48.e1', '48.f1', '72.g1'], 'core': '48.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [6052, -1, 6390, -1], 'generators': [23, 144, 288, 8], 'label': '576.4267.24.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.g1', 'projective_image': '144.170', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
             
                      - 
              id: 108982202
              
{'ambient': '576.4267', 'aut_centralizer_order': 96, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4608, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.i1', '12.d1'], 'contains': ['48.c1', '48.e1', '48.f1', '72.h1'], 'core': '48.c1', 'coset_action_label': None, 'count': 48, 'diagramx': [5089, -1, 5664, -1], 'generators': [11, 156, 288, 8], 'label': '576.4267.24.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.h1', 'projective_image': '144.171', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
             
                      - 
              id: 108982203
              
{'ambient': '576.4267', 'aut_centralizer_order': 96, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4608, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.j1', '12.g1', '12.i1'], 'contains': ['48.b1', '72.i1'], 'core': '48.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [7854, -1, 8080, -1], 'generators': [47, 432, 288, 8], 'label': '576.4267.24.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.i1', 'projective_image': '144.170', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
             
                      - 
              id: 108982204
              
{'ambient': '576.4267', 'aut_centralizer_order': 1728, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '8.5', 'aut_weyl_index': 13824, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.k1', '12.c1'], 'contains': ['48.c1', '72.j1'], 'core': '48.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [5624, -1, 7646, -1], 'generators': [78, 8, 156, 288], 'label': '576.4267.24.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '24.j1', 'projective_image': '144.171', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982205
              
{'ambient': '576.4267', 'aut_centralizer_order': 48, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '48.38', 'aut_weyl_index': 2304, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['8.g1', '12.f1'], 'contains': ['48.d1', '48.g1', '72.k1'], 'core': '48.d1', 'coset_action_label': None, 'count': 48, 'diagramx': [1192, -1, 1692, -1], 'generators': [1, 6, 12, 8], 'label': '576.4267.24.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.k1', 'projective_image': '288.756', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
             
                      - 
              id: 108982206
              
{'ambient': '576.4267', 'aut_centralizer_order': 2304, 'aut_label': '32.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '48.29', 'aut_weyl_index': 2304, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1', '16.c1', '16.f1', '16.g1'], 'contains': ['64.a1', '96.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2480, 4274, 3279, 3997], 'generators': [288, 8, 192], 'label': '576.4267.32.a1', 'mobius_quo': -3, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1', '16.c1'], 'normal_contains': ['64.a1', '96.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '288.730', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.2', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982207
              
{'ambient': '576.4267', 'aut_centralizer_order': 2304, 'aut_label': '32.b1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '48.29', 'aut_weyl_index': 2304, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.d1', '16.e1'], 'contains': ['64.a1', '96.b1'], 'core': '32.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [465, 1655, 1614, 1960], 'generators': [12, 8, 192], 'label': '576.4267.32.b1', 'mobius_quo': -3, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': ['16.a1', '16.d1', '16.e1'], 'normal_contains': ['64.a1', '96.b1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': '288.756', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982208
              
{'ambient': '576.4267', 'aut_centralizer_order': 6, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '1536.408494467', 'aut_weyl_index': 72, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '6.c1', '6.d1', '6.e1', '9.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8379, -1, 7712, -1], 'generators': [1, 288, 432, 6, 8, 216, 12], 'label': '576.4267.3.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '3.a1', 'projective_image': '36.13', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
             
                      - 
              id: 108982209
              
{'ambient': '576.4267', 'aut_centralizer_order': 2304, 'aut_label': '32.c1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '48.29', 'aut_weyl_index': 2304, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.h1', '16.i1'], 'contains': ['64.a1', '96.c1'], 'core': '32.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [1765, 2710, 1946, 2730], 'generators': [300, 8, 192], 'label': '576.4267.32.c1', 'mobius_quo': -3, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': ['16.a1'], 'normal_contains': ['64.a1', '96.c1'], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': '288.758', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982210
              
{'ambient': '576.4267', 'aut_centralizer_order': 32, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '432.734', 'aut_weyl_index': 256, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.d1', '16.f1', '16.h1'], 'contains': ['64.a1', '96.d1'], 'core': '64.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [789, -1, 1336, -1], 'generators': [23, 8, 192], 'label': '576.4267.32.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '32.d1', 'projective_image': '576.4267', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
             
                      - 
              id: 108982211
              
{'ambient': '576.4267', 'aut_centralizer_order': 13824, 'aut_label': '36.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 13824, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '18.a1', '18.d1', '18.e1'], 'contains': ['72.a1', '72.b1', '72.c1'], 'core': '36.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7831, 7328, 7054, 7782], 'generators': [18, 144], 'label': '576.4267.36.a1', 'mobius_quo': 0, 'mobius_sub': 54, 'normal_closure': '36.a1', 'normal_contained_in': ['12.a1', '18.a1'], 'normal_contains': ['72.a1', '72.b1', '72.c1'], 'normalizer': '1.a1', 'old_label': '36.a1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '18.5', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '36.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982212
              
{'ambient': '576.4267', 'aut_centralizer_order': 13824, 'aut_label': '36.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 13824, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.b1', '18.a1', '18.b1'], 'contains': ['72.a1', '72.d1'], 'core': '36.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9396, 9467, 8690, 9666], 'generators': [12, 216], 'label': '576.4267.36.b1', 'mobius_quo': 0, 'mobius_sub': 54, 'normal_closure': '36.b1', 'normal_contained_in': ['12.b1', '18.a1'], 'normal_contains': ['72.a1', '72.d1'], 'normalizer': '1.a1', 'old_label': '36.b1', 'projective_image': '36.13', 'quotient_action_image': '1.1', 'quotient_action_kernel': '36.13', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '36.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982213
              
{'ambient': '576.4267', 'aut_centralizer_order': 13824, 'aut_label': '36.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 13824, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '18.a1', '18.c1'], 'contains': ['72.a1', '72.j1'], 'core': '36.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [8142, 8643, 8358, 8896], 'generators': [234, 144], 'label': '576.4267.36.c1', 'mobius_quo': 0, 'mobius_sub': 54, 'normal_closure': '36.c1', 'normal_contained_in': ['12.c1', '18.a1'], 'normal_contains': ['72.a1'], 'normalizer': '1.a1', 'old_label': '36.c1', 'projective_image': '72.49', 'quotient_action_image': '2.1', 'quotient_action_kernel': '18.5', 'quotient_action_kernel_order': 18, 'quotient_fusion': None, 'short_label': '36.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982214
              
{'ambient': '576.4267', 'aut_centralizer_order': 768, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '8.5', 'aut_weyl_index': 13824, 'centralizer': '18.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.d1', '18.b1', '18.c1', '18.d1'], 'contains': ['72.a1', '72.e1', '72.f1', '72.g1', '72.h1'], 'core': '72.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [7489, -1, 7346, -1], 'generators': [23, 12, 144], 'label': '576.4267.36.d1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '36.d1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982215
              
{'ambient': '576.4267', 'aut_centralizer_order': 384, 'aut_label': '36.e1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '16.14', 'aut_weyl_index': 6912, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.e1', '18.d1'], 'contains': ['72.c1', '72.e1', '72.f1'], 'core': '72.c1', 'coset_action_label': None, 'count': 18, 'diagramx': [5939, -1, 4737, -1], 'generators': [1, 162], 'label': '576.4267.36.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '36.e1', 'projective_image': '144.169', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
             
                      - 
              id: 108982216
              
{'ambient': '576.4267', 'aut_centralizer_order': 384, 'aut_label': '36.f1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '32.27', 'aut_weyl_index': 3456, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.f1', '18.d1'], 'contains': ['72.b1', '72.e1', '72.k1'], 'core': '72.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [4929, -1, 3750, -1], 'generators': [1, 18, 288], 'label': '576.4267.36.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '36.f1', 'projective_image': '144.169', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
             
                      - 
              id: 108982217
              
{'ambient': '576.4267', 'aut_centralizer_order': 768, 'aut_label': '36.g1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '8.5', 'aut_weyl_index': 13824, 'centralizer': '18.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.g1', '18.b1', '18.c1', '18.e1'], 'contains': ['72.a1', '72.i1'], 'core': '72.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [8901, -1, 9353, -1], 'generators': [47, 12], 'label': '576.4267.36.g1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '36.g1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982218
              
{'ambient': '576.4267', 'aut_centralizer_order': 384, 'aut_label': '36.h1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '32.27', 'aut_weyl_index': 3456, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.h1', '18.d1'], 'contains': ['72.b1', '72.f1'], 'core': '72.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [6340, -1, 4989, -1], 'generators': [145, 18], 'label': '576.4267.36.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '36.h1', 'projective_image': '144.169', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
             
                      - 
              id: 108982219
              
{'ambient': '576.4267', 'aut_centralizer_order': 16, 'aut_label': '4.a1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': '3456.ks', 'aut_weyl_index': 32, 'centralizer': '36.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.b1', '2.c1'], 'contains': ['8.a1', '8.b1', '8.e1', '8.h1', '8.i1', '12.d1'], 'core': '4.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4513, 4055, 4662, 4065], 'generators': [23, 192, 8, 12, 144, 288], 'label': '576.4267.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1', '2.c1'], 'normal_contains': ['8.a1', '8.b1', '8.e1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '72.49', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
             
                      - 
              id: 108982220
              
{'ambient': '576.4267', 'aut_centralizer_order': 192, 'aut_label': '36.i1', 'aut_quo_index': None, 'aut_stab_index': 72, 'aut_weyl_group': '8.5', 'aut_weyl_index': 13824, 'centralizer': '18.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.i1', '18.b1'], 'contains': ['72.d1', '72.g1', '72.i1'], 'core': '72.d1', 'coset_action_label': None, 'count': 72, 'diagramx': [9784, -1, 9021, -1], 'generators': [23, 216], 'label': '576.4267.36.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.b1', 'old_label': '36.i1', 'projective_image': '72.33', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982221
              
{'ambient': '576.4267', 'aut_centralizer_order': 13824, 'aut_label': '48.a1', 'aut_quo_index': 8, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 55296, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.a1', '24.a1', '24.b1', '24.c1', '24.e1', '24.f1'], 'contains': ['96.a1', '96.b1', '96.c1', '144.a1'], 'core': '48.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3181, 3697, 3786, 4766], 'generators': [12, 288, 8], 'label': '576.4267.48.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1', '24.b1', '24.c1'], 'normal_contains': ['96.a1', '96.b1', '96.c1', '144.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '144.169', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982222
              
{'ambient': '576.4267', 'aut_centralizer_order': 6912, 'aut_label': '48.b1', 'aut_quo_index': 4, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 27648, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.b1', '24.a1', '24.d1', '24.g1', '24.i1'], 'contains': ['96.a1', '144.b1'], 'core': '48.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [6674, 6110, 6595, 7437], 'generators': [144, 8, 288], 'label': '576.4267.48.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': ['16.b1', '24.a1', '24.d1'], 'normal_contains': ['96.a1', '144.b1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '144.170', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982223
              
{'ambient': '576.4267', 'aut_centralizer_order': 6912, 'aut_label': '48.c1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 27648, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['16.c1', '24.a1', '24.h1', '24.j1'], 'contains': ['96.a1', '144.c1'], 'core': '48.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [5360, 5133, 5615, 6170], 'generators': [156, 8, 288], 'label': '576.4267.48.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': ['16.c1', '24.a1'], 'normal_contains': ['96.a1', '144.c1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': '144.171', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982224
              
{'ambient': '576.4267', 'aut_centralizer_order': 3456, 'aut_label': '48.d1', 'aut_quo_index': 1, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 27648, 'centralizer': '2.d1', 'complements': ['12.i1'], 'conjugacy_class_count': 8, 'contained_in': ['16.e1', '24.b1', '24.k1'], 'contains': ['96.b1', '144.d1'], 'core': '48.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [1787, 1982, 2616, 3363], 'generators': [6, 8, 12], 'label': '576.4267.48.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.d1', 'normal_contained_in': ['16.e1', '24.b1'], 'normal_contains': ['96.b1', '144.d1'], 'normalizer': '1.a1', 'old_label': '48.d1', 'projective_image': '288.756', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982225
              
{'ambient': '576.4267', 'aut_centralizer_order': 192, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '12.4', 'aut_weyl_index': 9216, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.f1', '24.e1', '24.g1', '24.h1'], 'contains': ['96.a1', '96.d1', '144.e1'], 'core': '96.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3660, -1, 3533, -1], 'generators': [23, 288, 8], 'label': '576.4267.48.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.e1', 'projective_image': '288.730', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
             
                      - 
              id: 108982226
              
{'ambient': '576.4267', 'aut_centralizer_order': 192, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '12.4', 'aut_weyl_index': 9216, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.g1', '24.f1', '24.g1', '24.h1'], 'contains': ['96.a1', '144.f1'], 'core': '96.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4111, -1, 4927, -1], 'generators': [167, 288, 8], 'label': '576.4267.48.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.f1', 'projective_image': '288.730', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
             
                      - 
              id: 108982227
              
{'ambient': '576.4267', 'aut_centralizer_order': 192, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '12.4', 'aut_weyl_index': 9216, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['16.d1', '24.e1', '24.k1'], 'contains': ['96.b1', '96.d1', '144.g1'], 'core': '96.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [1560, -1, 2246, -1], 'generators': [23, 12, 8], 'label': '576.4267.48.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.g1', 'projective_image': '288.756', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
             
                      - 
              id: 108982228
              
{'ambient': '576.4267', 'aut_centralizer_order': 192, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '12.4', 'aut_weyl_index': 9216, 'centralizer': '36.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.h1', '24.e1'], 'contains': ['96.c1', '96.d1', '144.h1'], 'core': '96.c1', 'coset_action_label': None, 'count': 48, 'diagramx': [2184, -1, 2421, -1], 'generators': [23, 300, 8], 'label': '576.4267.48.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.h1', 'projective_image': '288.758', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
             
                      - 
              id: 108982229
              
{'ambient': '576.4267', 'aut_centralizer_order': 3456, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 27648, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.i1', '24.c1'], 'contains': ['96.c1', '144.i1'], 'core': '96.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [2686, -1, 2831, -1], 'generators': [438, 8, 300], 'label': '576.4267.48.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '48.i1', 'projective_image': '288.758', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982230
              
{'ambient': '576.4267', 'aut_centralizer_order': 8, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '6912.or', 'aut_weyl_index': 16, 'centralizer': '36.b1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.c1'], 'contains': ['8.a1', '8.d1', '8.e1', '12.e1'], 'core': '4.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [3401, 2710, 3001, 2809], 'generators': [1, 192, 8, 438, 12, 288], 'label': '576.4267.4.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': ['2.c1'], 'normal_contains': ['8.a1', '8.d1', '8.e1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '144.169', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
             
                      - 
              id: 108982231
              
{'ambient': '576.4267', 'aut_centralizer_order': 2304, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.29', 'aut_weyl_index': 2304, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.b1', '32.c1', '32.d1'], 'contains': ['192.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [821, 2576, 1946, 3182], 'generators': [8, 192], 'label': '576.4267.64.a1', 'mobius_quo': 3, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1', '32.c1'], 'normal_contains': ['192.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': '576.4267', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.3', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982232
              
{'ambient': '576.4267', 'aut_centralizer_order': 55296, 'aut_label': '72.a1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 55296, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '36.a1', '36.b1', '36.c1', '36.d1', '36.g1'], 'contains': ['144.a1', '144.b1', '144.c1'], 'core': '72.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7720, 7249, 7200, 8070], 'generators': [12, 144], 'label': '576.4267.72.a1', 'mobius_quo': 0, 'mobius_sub': -216, 'normal_closure': '72.a1', 'normal_contained_in': ['24.a1', '36.a1', '36.b1', '36.c1'], 'normal_contains': ['144.a1', '144.b1', '144.c1'], 'normalizer': '1.a1', 'old_label': '72.a1', 'projective_image': '72.49', 'quotient_action_image': '1.1', 'quotient_action_kernel': '72.49', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '72.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982233
              
{'ambient': '576.4267', 'aut_centralizer_order': 27648, 'aut_label': '72.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 27648, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '36.a1', '36.f1', '36.h1'], 'contains': ['144.a1', '144.d1'], 'core': '72.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4692, 5079, 4318, 5536], 'generators': [18, 288], 'label': '576.4267.72.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.b1', 'normal_contained_in': ['24.b1', '36.a1'], 'normal_contains': ['144.a1', '144.d1'], 'normalizer': '1.a1', 'old_label': '72.b1', 'projective_image': '144.169', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.8', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982234
              
{'ambient': '576.4267', 'aut_centralizer_order': 27648, 'aut_label': '72.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 27648, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.c1', '36.a1', '36.e1'], 'contains': ['144.a1', '144.i1'], 'core': '72.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5080, 6134, 4650, 6803], 'generators': [162, 288], 'label': '576.4267.72.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.c1', 'normal_contained_in': ['24.c1', '36.a1'], 'normal_contains': ['144.a1'], 'normalizer': '1.a1', 'old_label': '72.c1', 'projective_image': '144.169', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.8', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982235
              
{'ambient': '576.4267', 'aut_centralizer_order': 13824, 'aut_label': '72.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 27648, 'centralizer': '1.a1', 'complements': ['8.g1'], 'conjugacy_class_count': 2, 'contained_in': ['24.d1', '36.b1', '36.i1'], 'contains': ['144.b1'], 'core': '72.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [9311, 8115, 7883, 8659], 'generators': [216], 'label': '576.4267.72.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '72.d1', 'normal_contained_in': ['24.d1', '36.b1'], 'normal_contains': ['144.b1'], 'normalizer': '1.a1', 'old_label': '72.d1', 'projective_image': '72.33', 'quotient_action_image': '1.1', 'quotient_action_kernel': '72.33', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '72.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982236
              
{'ambient': '576.4267', 'aut_centralizer_order': 1536, 'aut_label': '72.e1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '4.2', 'aut_weyl_index': 27648, 'centralizer': '18.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.e1', '36.d1', '36.e1', '36.f1'], 'contains': ['144.a1', '144.e1', '144.g1', '144.h1'], 'core': '144.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [4273, -1, 4052, -1], 'generators': [23, 12, 288], 'label': '576.4267.72.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '72.e1', 'projective_image': '144.169', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982237
              
{'ambient': '576.4267', 'aut_centralizer_order': 1536, 'aut_label': '72.f1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '4.2', 'aut_weyl_index': 27648, 'centralizer': '18.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.f1', '36.d1', '36.e1', '36.h1'], 'contains': ['144.a1', '144.f1'], 'core': '144.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [5776, -1, 5205, -1], 'generators': [167, 12], 'label': '576.4267.72.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '72.f1', 'projective_image': '144.169', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
             
                      - 
              id: 108982238
              
{'ambient': '576.4267', 'aut_centralizer_order': 768, 'aut_label': '72.g1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '4.2', 'aut_weyl_index': 27648, 'centralizer': '18.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.g1', '36.d1', '36.i1'], 'contains': ['144.b1', '144.e1', '144.f1'], 'core': '144.b1', 'coset_action_label': None, 'count': 36, 'diagramx': [6790, -1, 6868, -1], 'generators': [23, 144], 'label': '576.4267.72.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.b1', 'old_label': '72.g1', 'projective_image': '144.170', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982239
              
{'ambient': '576.4267', 'aut_centralizer_order': 768, 'aut_label': '72.h1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '4.2', 'aut_weyl_index': 27648, 'centralizer': '18.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.h1', '36.d1'], 'contains': ['144.c1', '144.e1', '144.f1'], 'core': '144.c1', 'coset_action_label': None, 'count': 36, 'diagramx': [6183, -1, 5888, -1], 'generators': [11, 156], 'label': '576.4267.72.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.b1', 'old_label': '72.h1', 'projective_image': '144.171', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
             
                      - 
              id: 108982240
              
{'ambient': '576.4267', 'aut_centralizer_order': 768, 'aut_label': '72.i1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '4.2', 'aut_weyl_index': 27648, 'centralizer': '18.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.i1', '36.g1', '36.i1'], 'contains': ['144.b1'], 'core': '144.b1', 'coset_action_label': None, 'count': 36, 'diagramx': [8769, -1, 8551, -1], 'generators': [47], 'label': '576.4267.72.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.b1', 'old_label': '72.i1', 'projective_image': '144.170', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.i1', 'subgroup_fusion': None, 'weyl_group': '1.1'}