Abstract group data - 768.56452

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• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '32.3', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 2, 'aut_exponent': 48, 'aut_gen_orders': [2, 4, 4, 4, 2, 24, 4, 4], 'aut_gens': [[1, 8, 384], [227, 620, 576], [577, 588, 576], [127, 92, 576], [325, 188, 576], [213, 188, 576], [495, 444, 576], [679, 152, 384], [157, 376, 384]], 'aut_group': None, 'aut_hash': 2192861291032030549, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 24576, 'aut_permdeg': 384, 'aut_perms': 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9910085682263484731037729779939947443846782389894428245934242918417109253100199522584873019089411721423136920273580915645671833382455167486690778373059566232806737378381175294123104571983219112689539891469767183439068998929820945024605681267249623349161194826748122620508634326796243221442675943648935544747742217099665414325765315857531591602629837841547692418106374454565568347158809625273869678855213922013476485124493667724091429639104133097698162528516573293296869018028807446385331163503108730697492894574918777286986311334630308095887454025617926021490678287586512872419959887719281085060388980935313598525143660903051940847283144804922771454699097200572867431903858503418811994897526632495115762780714283262243552982882153431606904505238337626600541196940951739008429173069430481931391792980510714596059906811437870473], 'aut_phi_ratio': 96.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 1, 2], [3, 2, 1, 1], [4, 1, 2, 2], [4, 2, 1, 2], [4, 2, 8, 1], [6, 2, 1, 1], [6, 2, 2, 3], [8, 1, 8, 1], [8, 2, 2, 4], [8, 2, 4, 1], [12, 2, 2, 4], [12, 2, 16, 1], [16, 2, 16, 2], [16, 24, 16, 1], [24, 2, 4, 4], [24, 2, 8, 2], [48, 2, 32, 2]], 'aut_supersolvable': True, 'aut_tex': 'C_3:((C_2^4\\times C_8).C_2^6)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '128.2167', 'autcent_hash': 2167, 'autcent_nilpotent': True, 'autcent_order': 128, 'autcent_solvable': True, 'autcent_split': False, 'autcent_supersolvable': True, 'autcent_tex': 'C_4^2:C_2^3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '192.1331', 'autcentquo_hash': 1331, 'autcentquo_nilpotent': False, 'autcentquo_order': 192, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'D_8:D_6', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [3, 2, 1], [4, 1, 4], [4, 2, 10], [6, 2, 7], [8, 1, 8], [8, 2, 12], [12, 2, 24], [16, 2, 32], [16, 24, 16], [24, 2, 32], [48, 2, 64]], 'center_label': '16.5', 'center_order': 16, 'central_product': False, 'central_quotient': '48.7', 'commutator_count': 1, 'commutator_label': '24.2', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 56452, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [3, 2, 1, 1], [4, 1, 2, 2], [4, 2, 1, 2], [4, 2, 2, 4], [6, 2, 1, 3], [6, 2, 2, 2], [8, 1, 4, 2], [8, 2, 2, 6], [12, 2, 2, 4], [12, 2, 4, 4], [16, 2, 8, 4], [16, 24, 4, 4], [24, 2, 4, 8], [48, 2, 16, 4]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 6, 'exponent': 48, 'exponents_of_order': [8, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '64.83', 'frattini_quotient': '12.4', 'hash': 56452, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 24, 'inner_gen_orders': [2, 24, 1], 'inner_gens': [[1, 568, 384], [593, 8, 384], [1, 8, 384]], 'inner_hash': 7, 'inner_nilpotent': False, 'inner_order': 48, 'inner_split': False, 'inner_tex': 'D_{24}', 'inner_used': [1, 2], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 32], [2, 184]], 'label': '768.56452', 'linC_count': 1024, 'linC_degree': 3, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 20, 'linQ_degree_count': 120, 'linQ_dim': 20, 'linQ_dim_count': 72, 'linR_count': 320, 'linR_degree': 6, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C24.(C4*C8)', 'ngens': 9, '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], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 37, 'number_characteristic_subgroups': 73, 'number_conjugacy_classes': 216, 'number_divisions': 56, 'number_normal_subgroups': 119, 'number_subgroup_autclasses': 140, 'number_subgroup_classes': 210, 'number_subgroups': 436, 'old_label': None, 'order': 768, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 7], [3, 2], [4, 24], [6, 14], [8, 32], [12, 48], [16, 448], [24, 64], [48, 128]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': False, 'outer_exponent': 4, 'outer_gen_orders': [4, 2, 4, 4, 4, 4, 4], 'outer_gen_pows': [0, 288, 48, 32, 0, 0, 160], 'outer_gens': [[245, 280, 384], [679, 156, 576], [173, 140, 576], [429, 728, 384], [533, 444, 576], [127, 92, 576], [469, 680, 384]], 'outer_group': '512.7534885', 'outer_hash': 7896695071008015070, 'outer_nilpotent': True, 'outer_order': 512, 'outer_permdeg': 256, 'outer_perms': 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743743786359255702525038092075918217186281032389014963785128814461077267672314485985287501025355478835814993087956247788715604330764940354881999071808138348444872341130959465702889832963918749184793483457784029641797847006950965637975186638053537303848834904047964397060808356303064609132873389664600702341135640623779170809918155537285977449568488754962334882811272242004236210368896615031430368390172004173484805240415728982761809745784009956260833983675475428086698781534570146671557752277603726681808564], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'C_2^4.C_2^5', 'pc_rank': 3, 'perfect': False, 'permutation_degree': 39, 'pgroup': 0, 'primary_abelian_invariants': [4, 8], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 4], [2, 14], [4, 20], [8, 8], [16, 6], [32, 4]], 'representations': {'PC': {'code': '990207870367593914744096181578669255034878361090', 'gens': [1, 4, 9], 'pres': [9, -2, -2, -2, -2, -2, -2, -2, -3, -2, 18, 46, 1316, 20451, 102, 16564, 130, 19013, 158, 20166, 186, 18439]}, 'GLZN': {'d': 2, 'p': 68, 'gens': [5236, 2829897, 13520619, 314445, 16587479, 10376289, 4087629, 314465, 5374703]}, 'GLZq': {'d': 2, 'q': 32, 'gens': [828161, 557073, 573953, 294921, 124284, 453063, 712973, 98307, 67582]}, 'Perm': {'d': 39, 'gens': [568966611532918285394243469117415681298876425, 1157770880998670206156647169194803730272137704, 1697841066181337500328664150388191990413473680, 2234989050170962593369314499358449716044220160, 2758402885462716950743275778217640415871420160, 3295686715373648539277111557713843879986782080, 3818940507522452449839334089799957719713374080, 4356084223965114545990610838647711639954908160, 3]}}, 'schur_multiplier': [2, 2], 'semidirect_product': False, 'simple': False, 'smith_abelian_invariants': [4, 8], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{24}.(C_4\\times C_8)', 'transitive_degree': 192, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

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

  
  
  • id: 105805788
    {'aut_label': '1A', 'centralizer': '1.a1.a1', 'counter': 1, 'group_counter': 56452, 'group_order': 768, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 105805899
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 2, 'group_counter': 56452, 'group_order': 768, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 384, 'size': 1}
  • id: 105805927
    {'aut_label': '2A', 'centralizer': '1.a1.a1', 'counter': 3, 'group_counter': 56452, 'group_order': 768, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 576, 'size': 1}
  • id: 105805938
    {'aut_label': '2C', 'centralizer': '1.a1.a1', 'counter': 4, 'group_counter': 56452, 'group_order': 768, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 192, 'size': 1}
  • id: 105805949
    {'aut_label': '2D', 'centralizer': '2.a1.a1', 'counter': 5, 'group_counter': 56452, 'group_order': 768, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 676, 'size': 2}
  • id: 105805960
    {'aut_label': '2E', 'centralizer': '2.a1.a1', 'counter': 6, 'group_counter': 56452, 'group_order': 768, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 292, 'size': 2}
  • id: 105805971
    {'aut_label': '3A', 'centralizer': '2.a1.a1', 'counter': 7, 'group_counter': 56452, 'group_order': 768, 'label': '3A', 'order': 3, 'powers': [7, 1], 'representative': 256, 'size': 2}
  • id: 105805982
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 8, 'group_counter': 56452, 'group_order': 768, 'label': '4A1', 'order': 4, 'powers': [4, 9], 'representative': 580, 'size': 1}
  • id: 105805993
    {'aut_label': '4A1', 'centralizer': '1.a1.a1', 'counter': 9, 'group_counter': 56452, 'group_order': 768, 'label': '4A-1', 'order': 4, 'powers': [4, 8], 'representative': 388, 'size': 1}
  • id: 105805789
    {'aut_label': '4B1', 'centralizer': '1.a1.a1', 'counter': 10, 'group_counter': 56452, 'group_order': 768, 'label': '4B1', 'order': 4, 'powers': [4, 11], 'representative': 4, 'size': 1}
  • id: 105805800
    {'aut_label': '4B1', 'centralizer': '1.a1.a1', 'counter': 11, 'group_counter': 56452, 'group_order': 768, 'label': '4B-1', 'order': 4, 'powers': [4, 10], 'representative': 196, 'size': 1}
  • id: 105805811
    {'aut_label': '4C', 'centralizer': '2.a1.a1', 'counter': 12, 'group_counter': 56452, 'group_order': 768, 'label': '4C', 'order': 4, 'powers': [4, 12], 'representative': 480, 'size': 2}
  • id: 105805822
    {'aut_label': '4D', 'centralizer': '2.a1.a1', 'counter': 13, 'group_counter': 56452, 'group_order': 768, 'label': '4D', 'order': 4, 'powers': [4, 13], 'representative': 96, 'size': 2}
  • id: 105805833
    {'aut_label': '4E1', 'centralizer': '2.a1.a1', 'counter': 14, 'group_counter': 56452, 'group_order': 768, 'label': '4E1', 'order': 4, 'powers': [6, 15], 'representative': 54, 'size': 2}
  • id: 105805844
    {'aut_label': '4E1', 'centralizer': '2.a1.a1', 'counter': 15, 'group_counter': 56452, 'group_order': 768, 'label': '4E-1', 'order': 4, 'powers': [6, 14], 'representative': 146, 'size': 2}
  • id: 105805855
    {'aut_label': '4E1', 'centralizer': '2.a1.a1', 'counter': 16, 'group_counter': 56452, 'group_order': 768, 'label': '4F1', 'order': 4, 'powers': [6, 17], 'representative': 438, 'size': 2}
  • id: 105805866
    {'aut_label': '4E1', 'centralizer': '2.a1.a1', 'counter': 17, 'group_counter': 56452, 'group_order': 768, 'label': '4F-1', 'order': 4, 'powers': [6, 16], 'representative': 530, 'size': 2}
  • id: 105805877
    {'aut_label': '4E1', 'centralizer': '2.a1.a1', 'counter': 18, 'group_counter': 56452, 'group_order': 768, 'label': '4G1', 'order': 4, 'powers': [6, 19], 'representative': 246, 'size': 2}
  • id: 105805888
    {'aut_label': '4E1', 'centralizer': '2.a1.a1', 'counter': 19, 'group_counter': 56452, 'group_order': 768, 'label': '4G-1', 'order': 4, 'powers': [6, 18], 'representative': 338, 'size': 2}
  • id: 105805900
    {'aut_label': '4E1', 'centralizer': '2.a1.a1', 'counter': 20, 'group_counter': 56452, 'group_order': 768, 'label': '4H1', 'order': 4, 'powers': [6, 21], 'representative': 630, 'size': 2}
  • id: 105805911
    {'aut_label': '4E1', 'centralizer': '2.a1.a1', 'counter': 21, 'group_counter': 56452, 'group_order': 768, 'label': '4H-1', 'order': 4, 'powers': [6, 20], 'representative': 722, 'size': 2}
  • id: 105805919
    {'aut_label': '6A', 'centralizer': '2.a1.a1', 'counter': 22, 'group_counter': 56452, 'group_order': 768, 'label': '6A', 'order': 6, 'powers': [7, 2], 'representative': 512, 'size': 2}
  • id: 105805920
    {'aut_label': '6A', 'centralizer': '2.a1.a1', 'counter': 23, 'group_counter': 56452, 'group_order': 768, 'label': '6B', 'order': 6, 'powers': [7, 3], 'representative': 448, 'size': 2}
  • id: 105805921
    {'aut_label': '6C', 'centralizer': '2.a1.a1', 'counter': 24, 'group_counter': 56452, 'group_order': 768, 'label': '6C', 'order': 6, 'powers': [7, 4], 'representative': 64, 'size': 2}
  • id: 105805922
    {'aut_label': '6D1', 'centralizer': '2.a1.a1', 'counter': 25, 'group_counter': 56452, 'group_order': 768, 'label': '6D1', 'order': 6, 'powers': [7, 5], 'representative': 420, 'size': 2}
  • id: 105805923
    {'aut_label': '6D1', 'centralizer': '2.a1.a1', 'counter': 26, 'group_counter': 56452, 'group_order': 768, 'label': '6D-1', 'order': 6, 'powers': [7, 5], 'representative': 548, 'size': 2}
  • id: 105805924
    {'aut_label': '6E1', 'centralizer': '2.a1.a1', 'counter': 27, 'group_counter': 56452, 'group_order': 768, 'label': '6E1', 'order': 6, 'powers': [7, 6], 'representative': 36, 'size': 2}
  • id: 105805925
    {'aut_label': '6E1', 'centralizer': '2.a1.a1', 'counter': 28, 'group_counter': 56452, 'group_order': 768, 'label': '6E-1', 'order': 6, 'powers': [7, 6], 'representative': 164, 'size': 2}
  • id: 105805926
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 29, 'group_counter': 56452, 'group_order': 768, 'label': '8A1', 'order': 8, 'powers': [10, 31], 'representative': 2, 'size': 1}
  • id: 105805928
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 30, 'group_counter': 56452, 'group_order': 768, 'label': '8A-1', 'order': 8, 'powers': [11, 32], 'representative': 198, 'size': 1}
  • id: 105805929
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 31, 'group_counter': 56452, 'group_order': 768, 'label': '8A3', 'order': 8, 'powers': [11, 29], 'representative': 6, 'size': 1}
  • id: 105805930
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 32, 'group_counter': 56452, 'group_order': 768, 'label': '8A-3', 'order': 8, 'powers': [10, 30], 'representative': 194, 'size': 1}
  • id: 105805931
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 33, 'group_counter': 56452, 'group_order': 768, 'label': '8B1', 'order': 8, 'powers': [10, 35], 'representative': 578, 'size': 1}
  • id: 105805932
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 34, 'group_counter': 56452, 'group_order': 768, 'label': '8B-1', 'order': 8, 'powers': [11, 36], 'representative': 390, 'size': 1}
  • id: 105805933
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 35, 'group_counter': 56452, 'group_order': 768, 'label': '8B3', 'order': 8, 'powers': [11, 33], 'representative': 582, 'size': 1}
  • id: 105805934
    {'aut_label': '8A1', 'centralizer': '1.a1.a1', 'counter': 36, 'group_counter': 56452, 'group_order': 768, 'label': '8B-3', 'order': 8, 'powers': [10, 34], 'representative': 386, 'size': 1}
  • id: 105805935
    {'aut_label': '8C1', 'centralizer': '2.a1.a1', 'counter': 37, 'group_counter': 56452, 'group_order': 768, 'label': '8C1', 'order': 8, 'powers': [13, 38], 'representative': 432, 'size': 2}
  • id: 105805936
    {'aut_label': '8C1', 'centralizer': '2.a1.a1', 'counter': 38, 'group_counter': 56452, 'group_order': 768, 'label': '8C3', 'order': 8, 'powers': [13, 37], 'representative': 528, 'size': 2}
  • id: 105805937
    {'aut_label': '8D1', 'centralizer': '2.a1.a1', 'counter': 39, 'group_counter': 56452, 'group_order': 768, 'label': '8D1', 'order': 8, 'powers': [10, 40], 'representative': 102, 'size': 2}
  • id: 105805939
    {'aut_label': '8D1', 'centralizer': '2.a1.a1', 'counter': 40, 'group_counter': 56452, 'group_order': 768, 'label': '8D-1', 'order': 8, 'powers': [11, 39], 'representative': 98, 'size': 2}
  • id: 105805940
    {'aut_label': '8E1', 'centralizer': '2.a1.a1', 'counter': 41, 'group_counter': 56452, 'group_order': 768, 'label': '8E1', 'order': 8, 'powers': [13, 41], 'representative': 628, 'size': 2}
  • id: 105805941
    {'aut_label': '8E1', 'centralizer': '2.a1.a1', 'counter': 42, 'group_counter': 56452, 'group_order': 768, 'label': '8E-1', 'order': 8, 'powers': [13, 42], 'representative': 724, 'size': 2}
  • id: 105805942
    {'aut_label': '8D1', 'centralizer': '2.a1.a1', 'counter': 43, 'group_counter': 56452, 'group_order': 768, 'label': '8F1', 'order': 8, 'powers': [10, 44], 'representative': 486, 'size': 2}
  • id: 105805943
    {'aut_label': '8D1', 'centralizer': '2.a1.a1', 'counter': 44, 'group_counter': 56452, 'group_order': 768, 'label': '8F-1', 'order': 8, 'powers': [11, 43], 'representative': 482, 'size': 2}
  • id: 105805944
    {'aut_label': '8G1', 'centralizer': '2.a1.a1', 'counter': 45, 'group_counter': 56452, 'group_order': 768, 'label': '8G1', 'order': 8, 'powers': [13, 46], 'representative': 48, 'size': 2}
  • id: 105805945
    {'aut_label': '8G1', 'centralizer': '2.a1.a1', 'counter': 46, 'group_counter': 56452, 'group_order': 768, 'label': '8G3', 'order': 8, 'powers': [13, 45], 'representative': 144, 'size': 2}
  • id: 105805946
    {'aut_label': '8H1', 'centralizer': '2.a1.a1', 'counter': 47, 'group_counter': 56452, 'group_order': 768, 'label': '8H1', 'order': 8, 'powers': [13, 47], 'representative': 244, 'size': 2}
  • id: 105805947
    {'aut_label': '8H1', 'centralizer': '2.a1.a1', 'counter': 48, 'group_counter': 56452, 'group_order': 768, 'label': '8H-1', 'order': 8, 'powers': [13, 48], 'representative': 340, 'size': 2}
  • id: 105805948
    {'aut_label': '12A1', 'centralizer': '2.a1.a1', 'counter': 49, 'group_counter': 56452, 'group_order': 768, 'label': '12A1', 'order': 12, 'powers': [24, 12], 'representative': 416, 'size': 2}
  • id: 105805950
    {'aut_label': '12A1', 'centralizer': '2.a1.a1', 'counter': 50, 'group_counter': 56452, 'group_order': 768, 'label': '12A5', 'order': 12, 'powers': [24, 12], 'representative': 544, 'size': 2}
  • id: 105805951
    {'aut_label': '12B1', 'centralizer': '2.a1.a1', 'counter': 51, 'group_counter': 56452, 'group_order': 768, 'label': '12B1', 'order': 12, 'powers': [24, 8], 'representative': 516, 'size': 2}
  • id: 105805952
    {'aut_label': '12B1', 'centralizer': '2.a1.a1', 'counter': 52, 'group_counter': 56452, 'group_order': 768, 'label': '12B-1', 'order': 12, 'powers': [24, 9], 'representative': 452, 'size': 2}
  • id: 105805953
    {'aut_label': '12C1', 'centralizer': '2.a1.a1', 'counter': 53, 'group_counter': 56452, 'group_order': 768, 'label': '12C1', 'order': 12, 'powers': [24, 13], 'representative': 32, 'size': 2}
  • id: 105805954
    {'aut_label': '12C1', 'centralizer': '2.a1.a1', 'counter': 54, 'group_counter': 56452, 'group_order': 768, 'label': '12C5', 'order': 12, 'powers': [24, 13], 'representative': 160, 'size': 2}
  • id: 105805955
    {'aut_label': '12D1', 'centralizer': '2.a1.a1', 'counter': 55, 'group_counter': 56452, 'group_order': 768, 'label': '12D1', 'order': 12, 'powers': [24, 11], 'representative': 260, 'size': 2}
  • id: 105805956
    {'aut_label': '12D1', 'centralizer': '2.a1.a1', 'counter': 56, 'group_counter': 56452, 'group_order': 768, 'label': '12D-1', 'order': 12, 'powers': [24, 10], 'representative': 324, 'size': 2}
  • id: 105805957
    {'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 57, 'group_counter': 56452, 'group_order': 768, 'label': '12E1', 'order': 12, 'powers': [27, 14], 'representative': 18, 'size': 2}
  • id: 105805958
    {'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 58, 'group_counter': 56452, 'group_order': 768, 'label': '12E-1', 'order': 12, 'powers': [28, 15], 'representative': 214, 'size': 2}
  • id: 105805959
    {'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 59, 'group_counter': 56452, 'group_order': 768, 'label': '12E5', 'order': 12, 'powers': [28, 14], 'representative': 274, 'size': 2}
  • id: 105805961
    {'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 60, 'group_counter': 56452, 'group_order': 768, 'label': '12E-5', 'order': 12, 'powers': [27, 15], 'representative': 86, 'size': 2}
  • id: 105805962
    {'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 61, 'group_counter': 56452, 'group_order': 768, 'label': '12F1', 'order': 12, 'powers': [27, 16], 'representative': 402, 'size': 2}
  • id: 105805963
    {'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 62, 'group_counter': 56452, 'group_order': 768, 'label': '12F-1', 'order': 12, 'powers': [28, 17], 'representative': 598, 'size': 2}
  • id: 105805964
    {'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 63, 'group_counter': 56452, 'group_order': 768, 'label': '12F5', 'order': 12, 'powers': [28, 16], 'representative': 658, 'size': 2}
  • id: 105805965
    {'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 64, 'group_counter': 56452, 'group_order': 768, 'label': '12F-5', 'order': 12, 'powers': [27, 17], 'representative': 470, 'size': 2}
  • id: 105805966
    {'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 65, 'group_counter': 56452, 'group_order': 768, 'label': '12G1', 'order': 12, 'powers': [28, 18], 'representative': 82, 'size': 2}
  • id: 105805967
    {'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 66, 'group_counter': 56452, 'group_order': 768, 'label': '12G-1', 'order': 12, 'powers': [27, 19], 'representative': 278, 'size': 2}
  • id: 105805968
    {'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 67, 'group_counter': 56452, 'group_order': 768, 'label': '12G5', 'order': 12, 'powers': [27, 18], 'representative': 210, 'size': 2}
  • id: 105805969
    {'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 68, 'group_counter': 56452, 'group_order': 768, 'label': '12G-5', 'order': 12, 'powers': [28, 19], 'representative': 22, 'size': 2}
  • id: 105805970
    {'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 69, 'group_counter': 56452, 'group_order': 768, 'label': '12H1', 'order': 12, 'powers': [28, 20], 'representative': 466, 'size': 2}
  • id: 105805972
    {'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 70, 'group_counter': 56452, 'group_order': 768, 'label': '12H-1', 'order': 12, 'powers': [27, 21], 'representative': 662, 'size': 2}
  • id: 105805973
    {'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 71, 'group_counter': 56452, 'group_order': 768, 'label': '12H5', 'order': 12, 'powers': [27, 20], 'representative': 594, 'size': 2}
  • id: 105805974
    {'aut_label': '12E1', 'centralizer': '2.a1.a1', 'counter': 72, 'group_counter': 56452, 'group_order': 768, 'label': '12H-5', 'order': 12, 'powers': [28, 21], 'representative': 406, 'size': 2}
  • id: 105805975
    {'aut_label': '16A1', 'centralizer': '2.a1.a1', 'counter': 73, 'group_counter': 56452, 'group_order': 768, 'label': '16A1', 'order': 16, 'powers': [45, 75], 'representative': 24, 'size': 2}
  • id: 105805976
    {'aut_label': '16A1', 'centralizer': '2.a1.a1', 'counter': 74, 'group_counter': 56452, 'group_order': 768, 'label': '16A-1', 'order': 16, 'powers': [45, 76], 'representative': 360, 'size': 2}
  • id: 105805977
    {'aut_label': '16A1', 'centralizer': '2.a1.a1', 'counter': 75, 'group_counter': 56452, 'group_order': 768, 'label': '16A3', 'order': 16, 'powers': [46, 80], 'representative': 72, 'size': 2}
  • id: 105805978
    {'aut_label': '16A1', 'centralizer': '2.a1.a1', 'counter': 76, 'group_counter': 56452, 'group_order': 768, 'label': '16A-3', 'order': 16, 'powers': [46, 79], 'representative': 312, 'size': 2}
  • id: 105805979
    {'aut_label': '16A1', 'centralizer': '2.a1.a1', 'counter': 77, 'group_counter': 56452, 'group_order': 768, 'label': '16A5', 'order': 16, 'powers': [46, 74], 'representative': 120, 'size': 2}
  • id: 105805980
    {'aut_label': '16A1', 'centralizer': '2.a1.a1', 'counter': 78, 'group_counter': 56452, 'group_order': 768, 'label': '16A-5', 'order': 16, 'powers': [46, 73], 'representative': 264, 'size': 2}
  • id: 105805981
    {'aut_label': '16A1', 'centralizer': '2.a1.a1', 'counter': 79, 'group_counter': 56452, 'group_order': 768, 'label': '16A7', 'order': 16, 'powers': [45, 77], 'representative': 168, 'size': 2}
  • id: 105805983
    {'aut_label': '16A1', 'centralizer': '2.a1.a1', 'counter': 80, 'group_counter': 56452, 'group_order': 768, 'label': '16A-7', 'order': 16, 'powers': [45, 78], 'representative': 216, 'size': 2}
  • id: 105805984
    {'aut_label': '16A1', 'centralizer': '2.a1.a1', 'counter': 81, 'group_counter': 56452, 'group_order': 768, 'label': '16B1', 'order': 16, 'powers': [46, 83], 'representative': 220, 'size': 2}
  • id: 105805985
    {'aut_label': '16A1', 'centralizer': '2.a1.a1', 'counter': 82, 'group_counter': 56452, 'group_order': 768, 'label': '16B-1', 'order': 16, 'powers': [46, 84], 'representative': 364, 'size': 2}
  • id: 105805986
    {'aut_label': '16A1', 'centralizer': '2.a1.a1', 'counter': 83, 'group_counter': 56452, 'group_order': 768, 'label': '16B3', 'order': 16, 'powers': [45, 88], 'representative': 76, 'size': 2}
  • id: 105805987
    {'aut_label': '16A1', 'centralizer': '2.a1.a1', 'counter': 84, 'group_counter': 56452, 'group_order': 768, 'label': '16B-3', 'order': 16, 'powers': [45, 87], 'representative': 124, 'size': 2}
  • id: 105805988
    {'aut_label': '16A1', 'centralizer': '2.a1.a1', 'counter': 85, 'group_counter': 56452, 'group_order': 768, 'label': '16B5', 'order': 16, 'powers': [45, 82], 'representative': 316, 'size': 2}
  • id: 105805989
    {'aut_label': '16A1', 'centralizer': '2.a1.a1', 'counter': 86, 'group_counter': 56452, 'group_order': 768, 'label': '16B-5', 'order': 16, 'powers': [45, 81], 'representative': 268, 'size': 2}
  • id: 105805990
    {'aut_label': '16A1', 'centralizer': '2.a1.a1', 'counter': 87, 'group_counter': 56452, 'group_order': 768, 'label': '16B7', 'order': 16, 'powers': [46, 85], 'representative': 172, 'size': 2}
  • id: 105805991
    {'aut_label': '16A1', 'centralizer': '2.a1.a1', 'counter': 88, 'group_counter': 56452, 'group_order': 768, 'label': '16B-7', 'order': 16, 'powers': [46, 86], 'representative': 28, 'size': 2}
  • id: 105805992
    {'aut_label': '16C1', 'centralizer': '2.a1.a1', 'counter': 89, 'group_counter': 56452, 'group_order': 768, 'label': '16C1', 'order': 16, 'powers': [47, 91], 'representative': 30, 'size': 2}
  • id: 105805994
    {'aut_label': '16C1', 'centralizer': '2.a1.a1', 'counter': 90, 'group_counter': 56452, 'group_order': 768, 'label': '16C-1', 'order': 16, 'powers': [48, 92], 'representative': 170, 'size': 2}
  • id: 105805995
    {'aut_label': '16C1', 'centralizer': '2.a1.a1', 'counter': 91, 'group_counter': 56452, 'group_order': 768, 'label': '16C3', 'order': 16, 'powers': [47, 96], 'representative': 74, 'size': 2}
  • id: 105805996
    {'aut_label': '16C1', 'centralizer': '2.a1.a1', 'counter': 92, 'group_counter': 56452, 'group_order': 768, 'label': '16C-3', 'order': 16, 'powers': [48, 95], 'representative': 126, 'size': 2}
  • id: 105805997
    {'aut_label': '16C1', 'centralizer': '2.a1.a1', 'counter': 93, 'group_counter': 56452, 'group_order': 768, 'label': '16C5', 'order': 16, 'powers': [48, 90], 'representative': 318, 'size': 2}
  • id: 105805998
    {'aut_label': '16C1', 'centralizer': '2.a1.a1', 'counter': 94, 'group_counter': 56452, 'group_order': 768, 'label': '16C-5', 'order': 16, 'powers': [47, 89], 'representative': 266, 'size': 2}
  • id: 105805999
    {'aut_label': '16C1', 'centralizer': '2.a1.a1', 'counter': 95, 'group_counter': 56452, 'group_order': 768, 'label': '16C7', 'order': 16, 'powers': [48, 93], 'representative': 362, 'size': 2}
  • id: 105806000
    {'aut_label': '16C1', 'centralizer': '2.a1.a1', 'counter': 96, 'group_counter': 56452, 'group_order': 768, 'label': '16C-7', 'order': 16, 'powers': [47, 94], 'representative': 222, 'size': 2}
  • id: 105806001
    {'aut_label': '16C1', 'centralizer': '2.a1.a1', 'counter': 97, 'group_counter': 56452, 'group_order': 768, 'label': '16D1', 'order': 16, 'powers': [47, 99], 'representative': 414, 'size': 2}
  • id: 105806002
    {'aut_label': '16C1', 'centralizer': '2.a1.a1', 'counter': 98, 'group_counter': 56452, 'group_order': 768, 'label': '16D-1', 'order': 16, 'powers': [48, 100], 'representative': 554, 'size': 2}
  • id: 105806003
    {'aut_label': '16C1', 'centralizer': '2.a1.a1', 'counter': 99, 'group_counter': 56452, 'group_order': 768, 'label': '16D3', 'order': 16, 'powers': [47, 104], 'representative': 458, 'size': 2}
  • id: 105805790
    {'aut_label': '16C1', 'centralizer': '2.a1.a1', 'counter': 100, 'group_counter': 56452, 'group_order': 768, 'label': '16D-3', 'order': 16, 'powers': [48, 103], 'representative': 510, 'size': 2}
  • id: 105805791
    {'aut_label': '16C1', 'centralizer': '2.a1.a1', 'counter': 101, 'group_counter': 56452, 'group_order': 768, 'label': '16D5', 'order': 16, 'powers': [48, 98], 'representative': 702, 'size': 2}
  • id: 105805792
    {'aut_label': '16C1', 'centralizer': '2.a1.a1', 'counter': 102, 'group_counter': 56452, 'group_order': 768, 'label': '16D-5', 'order': 16, 'powers': [47, 97], 'representative': 650, 'size': 2}
  • id: 105805793
    {'aut_label': '16C1', 'centralizer': '2.a1.a1', 'counter': 103, 'group_counter': 56452, 'group_order': 768, 'label': '16D7', 'order': 16, 'powers': [48, 101], 'representative': 746, 'size': 2}
  • id: 105805794
    {'aut_label': '16C1', 'centralizer': '2.a1.a1', 'counter': 104, 'group_counter': 56452, 'group_order': 768, 'label': '16D-7', 'order': 16, 'powers': [47, 102], 'representative': 606, 'size': 2}
  • id: 105805795
    {'aut_label': '16E1', 'centralizer': '24.h1.a1', 'counter': 105, 'group_counter': 56452, 'group_order': 768, 'label': '16E1', 'order': 16, 'powers': [29, 107], 'representative': 1, 'size': 24}
  • id: 105805796
    {'aut_label': '16E1', 'centralizer': '24.h1.a1', 'counter': 106, 'group_counter': 56452, 'group_order': 768, 'label': '16E-1', 'order': 16, 'powers': [30, 108], 'representative': 7, 'size': 24}
  • id: 105805797
    {'aut_label': '16E1', 'centralizer': '24.h1.a1', 'counter': 107, 'group_counter': 56452, 'group_order': 768, 'label': '16E3', 'order': 16, 'powers': [31, 105], 'representative': 3, 'size': 24}
  • id: 105805798
    {'aut_label': '16E1', 'centralizer': '24.h1.a1', 'counter': 108, 'group_counter': 56452, 'group_order': 768, 'label': '16E-3', 'order': 16, 'powers': [32, 106], 'representative': 5, 'size': 24}
  • id: 105805799
    {'aut_label': '16E1', 'centralizer': '24.h1.a1', 'counter': 109, 'group_counter': 56452, 'group_order': 768, 'label': '16F1', 'order': 16, 'powers': [29, 111], 'representative': 385, 'size': 24}
  • id: 105805801
    {'aut_label': '16E1', 'centralizer': '24.h1.a1', 'counter': 110, 'group_counter': 56452, 'group_order': 768, 'label': '16F-1', 'order': 16, 'powers': [30, 112], 'representative': 391, 'size': 24}
  • id: 105805802
    {'aut_label': '16E1', 'centralizer': '24.h1.a1', 'counter': 111, 'group_counter': 56452, 'group_order': 768, 'label': '16F3', 'order': 16, 'powers': [31, 109], 'representative': 387, 'size': 24}
  • id: 105805803
    {'aut_label': '16E1', 'centralizer': '24.h1.a1', 'counter': 112, 'group_counter': 56452, 'group_order': 768, 'label': '16F-3', 'order': 16, 'powers': [32, 110], 'representative': 389, 'size': 24}
  • id: 105805804
    {'aut_label': '16E1', 'centralizer': '24.h1.b1', 'counter': 113, 'group_counter': 56452, 'group_order': 768, 'label': '16G1', 'order': 16, 'powers': [33, 115], 'representative': 9, 'size': 24}
  • id: 105805805
    {'aut_label': '16E1', 'centralizer': '24.h1.b1', 'counter': 114, 'group_counter': 56452, 'group_order': 768, 'label': '16G-1', 'order': 16, 'powers': [34, 116], 'representative': 399, 'size': 24}
  • id: 105805806
    {'aut_label': '16E1', 'centralizer': '24.h1.b1', 'counter': 115, 'group_counter': 56452, 'group_order': 768, 'label': '16G3', 'order': 16, 'powers': [35, 113], 'representative': 395, 'size': 24}
  • id: 105805807
    {'aut_label': '16E1', 'centralizer': '24.h1.b1', 'counter': 116, 'group_counter': 56452, 'group_order': 768, 'label': '16G-3', 'order': 16, 'powers': [36, 114], 'representative': 13, 'size': 24}
  • id: 105805808
    {'aut_label': '16E1', 'centralizer': '24.h1.b1', 'counter': 117, 'group_counter': 56452, 'group_order': 768, 'label': '16H1', 'order': 16, 'powers': [33, 119], 'representative': 393, 'size': 24}
  • id: 105805809
    {'aut_label': '16E1', 'centralizer': '24.h1.b1', 'counter': 118, 'group_counter': 56452, 'group_order': 768, 'label': '16H-1', 'order': 16, 'powers': [34, 120], 'representative': 15, 'size': 24}
  • id: 105805810
    {'aut_label': '16E1', 'centralizer': '24.h1.b1', 'counter': 119, 'group_counter': 56452, 'group_order': 768, 'label': '16H3', 'order': 16, 'powers': [35, 117], 'representative': 11, 'size': 24}
  • id: 105805812
    {'aut_label': '16E1', 'centralizer': '24.h1.b1', 'counter': 120, 'group_counter': 56452, 'group_order': 768, 'label': '16H-3', 'order': 16, 'powers': [36, 118], 'representative': 397, 'size': 24}
  • id: 105805813
    {'aut_label': '24A1', 'centralizer': '2.a1.a1', 'counter': 121, 'group_counter': 56452, 'group_order': 768, 'label': '24A1', 'order': 24, 'powers': [53, 37], 'representative': 400, 'size': 2}
  • id: 105805814
    {'aut_label': '24A1', 'centralizer': '2.a1.a1', 'counter': 122, 'group_counter': 56452, 'group_order': 768, 'label': '24A5', 'order': 24, 'powers': [54, 38], 'representative': 464, 'size': 2}
  • id: 105805815
    {'aut_label': '24A1', 'centralizer': '2.a1.a1', 'counter': 123, 'group_counter': 56452, 'group_order': 768, 'label': '24A7', 'order': 24, 'powers': [54, 37], 'representative': 656, 'size': 2}
  • id: 105805816
    {'aut_label': '24A1', 'centralizer': '2.a1.a1', 'counter': 124, 'group_counter': 56452, 'group_order': 768, 'label': '24A11', 'order': 24, 'powers': [53, 38], 'representative': 592, 'size': 2}
  • id: 105805817
    {'aut_label': '24B1', 'centralizer': '2.a1.a1', 'counter': 125, 'group_counter': 56452, 'group_order': 768, 'label': '24B1', 'order': 24, 'powers': [55, 31], 'representative': 130, 'size': 2}
  • id: 105805818
    {'aut_label': '24B1', 'centralizer': '2.a1.a1', 'counter': 126, 'group_counter': 56452, 'group_order': 768, 'label': '24B-1', 'order': 24, 'powers': [56, 32], 'representative': 70, 'size': 2}
  • id: 105805819
    {'aut_label': '24B1', 'centralizer': '2.a1.a1', 'counter': 127, 'group_counter': 56452, 'group_order': 768, 'label': '24B5', 'order': 24, 'powers': [55, 30], 'representative': 66, 'size': 2}
  • id: 105805820
    {'aut_label': '24B1', 'centralizer': '2.a1.a1', 'counter': 128, 'group_counter': 56452, 'group_order': 768, 'label': '24B-5', 'order': 24, 'powers': [56, 29], 'representative': 134, 'size': 2}
  • id: 105805821
    {'aut_label': '24C1', 'centralizer': '2.a1.a1', 'counter': 129, 'group_counter': 56452, 'group_order': 768, 'label': '24C1', 'order': 24, 'powers': [56, 39], 'representative': 34, 'size': 2}
  • id: 105805823
    {'aut_label': '24C1', 'centralizer': '2.a1.a1', 'counter': 130, 'group_counter': 56452, 'group_order': 768, 'label': '24C-1', 'order': 24, 'powers': [55, 40], 'representative': 166, 'size': 2}
  • id: 105805824
    {'aut_label': '24C1', 'centralizer': '2.a1.a1', 'counter': 131, 'group_counter': 56452, 'group_order': 768, 'label': '24C7', 'order': 24, 'powers': [55, 40], 'representative': 38, 'size': 2}
  • id: 105805825
    {'aut_label': '24C1', 'centralizer': '2.a1.a1', 'counter': 132, 'group_counter': 56452, 'group_order': 768, 'label': '24C-7', 'order': 24, 'powers': [56, 39], 'representative': 162, 'size': 2}
  • id: 105805826
    {'aut_label': '24D1', 'centralizer': '2.a1.a1', 'counter': 133, 'group_counter': 56452, 'group_order': 768, 'label': '24D1', 'order': 24, 'powers': [54, 41], 'representative': 404, 'size': 2}
  • id: 105805827
    {'aut_label': '24D1', 'centralizer': '2.a1.a1', 'counter': 134, 'group_counter': 56452, 'group_order': 768, 'label': '24D-1', 'order': 24, 'powers': [54, 42], 'representative': 596, 'size': 2}
  • id: 105805828
    {'aut_label': '24D1', 'centralizer': '2.a1.a1', 'counter': 135, 'group_counter': 56452, 'group_order': 768, 'label': '24D5', 'order': 24, 'powers': [53, 42], 'representative': 468, 'size': 2}
  • id: 105805829
    {'aut_label': '24D1', 'centralizer': '2.a1.a1', 'counter': 136, 'group_counter': 56452, 'group_order': 768, 'label': '24D-5', 'order': 24, 'powers': [53, 41], 'representative': 660, 'size': 2}
  • id: 105805830
    {'aut_label': '24B1', 'centralizer': '2.a1.a1', 'counter': 137, 'group_counter': 56452, 'group_order': 768, 'label': '24E1', 'order': 24, 'powers': [55, 34], 'representative': 514, 'size': 2}
  • id: 105805831
    {'aut_label': '24B1', 'centralizer': '2.a1.a1', 'counter': 138, 'group_counter': 56452, 'group_order': 768, 'label': '24E-1', 'order': 24, 'powers': [56, 33], 'representative': 454, 'size': 2}
  • id: 105805832
    {'aut_label': '24B1', 'centralizer': '2.a1.a1', 'counter': 139, 'group_counter': 56452, 'group_order': 768, 'label': '24E5', 'order': 24, 'powers': [55, 35], 'representative': 450, 'size': 2}
  • id: 105805834
    {'aut_label': '24B1', 'centralizer': '2.a1.a1', 'counter': 140, 'group_counter': 56452, 'group_order': 768, 'label': '24E-5', 'order': 24, 'powers': [56, 36], 'representative': 518, 'size': 2}
  • id: 105805835
    {'aut_label': '24C1', 'centralizer': '2.a1.a1', 'counter': 141, 'group_counter': 56452, 'group_order': 768, 'label': '24F1', 'order': 24, 'powers': [56, 43], 'representative': 418, 'size': 2}
  • id: 105805836
    {'aut_label': '24C1', 'centralizer': '2.a1.a1', 'counter': 142, 'group_counter': 56452, 'group_order': 768, 'label': '24F-1', 'order': 24, 'powers': [55, 44], 'representative': 550, 'size': 2}
  • id: 105805837
    {'aut_label': '24C1', 'centralizer': '2.a1.a1', 'counter': 143, 'group_counter': 56452, 'group_order': 768, 'label': '24F7', 'order': 24, 'powers': [55, 44], 'representative': 422, 'size': 2}
  • id: 105805838
    {'aut_label': '24C1', 'centralizer': '2.a1.a1', 'counter': 144, 'group_counter': 56452, 'group_order': 768, 'label': '24F-7', 'order': 24, 'powers': [56, 43], 'representative': 546, 'size': 2}
  • id: 105805839
    {'aut_label': '24G1', 'centralizer': '2.a1.a1', 'counter': 145, 'group_counter': 56452, 'group_order': 768, 'label': '24G1', 'order': 24, 'powers': [53, 45], 'representative': 16, 'size': 2}
  • id: 105805840
    {'aut_label': '24G1', 'centralizer': '2.a1.a1', 'counter': 146, 'group_counter': 56452, 'group_order': 768, 'label': '24G5', 'order': 24, 'powers': [54, 46], 'representative': 80, 'size': 2}
  • id: 105805841
    {'aut_label': '24G1', 'centralizer': '2.a1.a1', 'counter': 147, 'group_counter': 56452, 'group_order': 768, 'label': '24G7', 'order': 24, 'powers': [54, 45], 'representative': 112, 'size': 2}
  • id: 105805842
    {'aut_label': '24G1', 'centralizer': '2.a1.a1', 'counter': 148, 'group_counter': 56452, 'group_order': 768, 'label': '24G11', 'order': 24, 'powers': [53, 46], 'representative': 176, 'size': 2}
  • id: 105805843
    {'aut_label': '24H1', 'centralizer': '2.a1.a1', 'counter': 149, 'group_counter': 56452, 'group_order': 768, 'label': '24H1', 'order': 24, 'powers': [54, 47], 'representative': 20, 'size': 2}
  • id: 105805845
    {'aut_label': '24H1', 'centralizer': '2.a1.a1', 'counter': 150, 'group_counter': 56452, 'group_order': 768, 'label': '24H-1', 'order': 24, 'powers': [54, 48], 'representative': 180, 'size': 2}
  • id: 105805846
    {'aut_label': '24H1', 'centralizer': '2.a1.a1', 'counter': 151, 'group_counter': 56452, 'group_order': 768, 'label': '24H5', 'order': 24, 'powers': [53, 48], 'representative': 84, 'size': 2}
  • id: 105805847
    {'aut_label': '24H1', 'centralizer': '2.a1.a1', 'counter': 152, 'group_counter': 56452, 'group_order': 768, 'label': '24H-5', 'order': 24, 'powers': [53, 47], 'representative': 116, 'size': 2}
  • id: 105805848
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 153, 'group_counter': 56452, 'group_order': 768, 'label': '48A1', 'order': 48, 'powers': [145, 73], 'representative': 8, 'size': 2}
  • id: 105805849
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 154, 'group_counter': 56452, 'group_order': 768, 'label': '48A-1', 'order': 48, 'powers': [145, 74], 'representative': 584, 'size': 2}
  • id: 105805850
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 155, 'group_counter': 56452, 'group_order': 768, 'label': '48A5', 'order': 48, 'powers': [146, 77], 'representative': 40, 'size': 2}
  • id: 105805851
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 156, 'group_counter': 56452, 'group_order': 768, 'label': '48A-5', 'order': 48, 'powers': [146, 78], 'representative': 344, 'size': 2}
  • id: 105805852
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 157, 'group_counter': 56452, 'group_order': 768, 'label': '48A7', 'order': 48, 'powers': [147, 79], 'representative': 520, 'size': 2}
  • id: 105805853
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 158, 'group_counter': 56452, 'group_order': 768, 'label': '48A-7', 'order': 48, 'powers': [147, 80], 'representative': 328, 'size': 2}
  • id: 105805854
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 159, 'group_counter': 56452, 'group_order': 768, 'label': '48A11', 'order': 48, 'powers': [148, 78], 'representative': 88, 'size': 2}
  • id: 105805856
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 160, 'group_counter': 56452, 'group_order': 768, 'label': '48A-11', 'order': 48, 'powers': [148, 77], 'representative': 296, 'size': 2}
  • id: 105805857
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 161, 'group_counter': 56452, 'group_order': 768, 'label': '48A13', 'order': 48, 'powers': [148, 76], 'representative': 104, 'size': 2}
  • id: 105805858
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 162, 'group_counter': 56452, 'group_order': 768, 'label': '48A-13', 'order': 48, 'powers': [148, 75], 'representative': 280, 'size': 2}
  • id: 105805859
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 163, 'group_counter': 56452, 'group_order': 768, 'label': '48A17', 'order': 48, 'powers': [147, 73], 'representative': 136, 'size': 2}
  • id: 105805860
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 164, 'group_counter': 56452, 'group_order': 768, 'label': '48A-17', 'order': 48, 'powers': [147, 74], 'representative': 712, 'size': 2}
  • id: 105805861
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 165, 'group_counter': 56452, 'group_order': 768, 'label': '48A19', 'order': 48, 'powers': [146, 75], 'representative': 424, 'size': 2}
  • id: 105805862
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 166, 'group_counter': 56452, 'group_order': 768, 'label': '48A-19', 'order': 48, 'powers': [146, 76], 'representative': 232, 'size': 2}
  • id: 105805863
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 167, 'group_counter': 56452, 'group_order': 768, 'label': '48A23', 'order': 48, 'powers': [145, 79], 'representative': 392, 'size': 2}
  • id: 105805864
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 168, 'group_counter': 56452, 'group_order': 768, 'label': '48A-23', 'order': 48, 'powers': [145, 80], 'representative': 200, 'size': 2}
  • id: 105805865
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 169, 'group_counter': 56452, 'group_order': 768, 'label': '48B1', 'order': 48, 'powers': [148, 81], 'representative': 12, 'size': 2}
  • id: 105805867
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 170, 'group_counter': 56452, 'group_order': 768, 'label': '48B-1', 'order': 48, 'powers': [148, 82], 'representative': 396, 'size': 2}
  • id: 105805868
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 171, 'group_counter': 56452, 'group_order': 768, 'label': '48B5', 'order': 48, 'powers': [147, 85], 'representative': 44, 'size': 2}
  • id: 105805869
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 172, 'group_counter': 56452, 'group_order': 768, 'label': '48B-5', 'order': 48, 'powers': [147, 86], 'representative': 428, 'size': 2}
  • id: 105805870
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 173, 'group_counter': 56452, 'group_order': 768, 'label': '48B7', 'order': 48, 'powers': [146, 87], 'representative': 716, 'size': 2}
  • id: 105805871
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 174, 'group_counter': 56452, 'group_order': 768, 'label': '48B-7', 'order': 48, 'powers': [146, 88], 'representative': 332, 'size': 2}
  • id: 105805872
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 175, 'group_counter': 56452, 'group_order': 768, 'label': '48B11', 'order': 48, 'powers': [145, 86], 'representative': 284, 'size': 2}
  • id: 105805873
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 176, 'group_counter': 56452, 'group_order': 768, 'label': '48B-11', 'order': 48, 'powers': [145, 85], 'representative': 300, 'size': 2}
  • id: 105805874
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 177, 'group_counter': 56452, 'group_order': 768, 'label': '48B13', 'order': 48, 'powers': [145, 84], 'representative': 108, 'size': 2}
  • id: 105805875
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 178, 'group_counter': 56452, 'group_order': 768, 'label': '48B-13', 'order': 48, 'powers': [145, 83], 'representative': 92, 'size': 2}
  • id: 105805876
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 179, 'group_counter': 56452, 'group_order': 768, 'label': '48B17', 'order': 48, 'powers': [146, 81], 'representative': 140, 'size': 2}
  • id: 105805878
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 180, 'group_counter': 56452, 'group_order': 768, 'label': '48B-17', 'order': 48, 'powers': [146, 82], 'representative': 524, 'size': 2}
  • id: 105805879
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 181, 'group_counter': 56452, 'group_order': 768, 'label': '48B19', 'order': 48, 'powers': [147, 83], 'representative': 348, 'size': 2}
  • id: 105805880
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 182, 'group_counter': 56452, 'group_order': 768, 'label': '48B-19', 'order': 48, 'powers': [147, 84], 'representative': 236, 'size': 2}
  • id: 105805881
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 183, 'group_counter': 56452, 'group_order': 768, 'label': '48B23', 'order': 48, 'powers': [148, 87], 'representative': 588, 'size': 2}
  • id: 105805882
    {'aut_label': '48A1', 'centralizer': '2.a1.a1', 'counter': 184, 'group_counter': 56452, 'group_order': 768, 'label': '48B-23', 'order': 48, 'powers': [148, 88], 'representative': 204, 'size': 2}
  • id: 105805883
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 185, 'group_counter': 56452, 'group_order': 768, 'label': '48C1', 'order': 48, 'powers': [149, 89], 'representative': 10, 'size': 2}
  • id: 105805884
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 186, 'group_counter': 56452, 'group_order': 768, 'label': '48C-1', 'order': 48, 'powers': [150, 90], 'representative': 398, 'size': 2}
  • id: 105805885
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 187, 'group_counter': 56452, 'group_order': 768, 'label': '48C5', 'order': 48, 'powers': [151, 93], 'representative': 234, 'size': 2}
  • id: 105805886
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 188, 'group_counter': 56452, 'group_order': 768, 'label': '48C-5', 'order': 48, 'powers': [152, 94], 'representative': 350, 'size': 2}
  • id: 105805887
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 189, 'group_counter': 56452, 'group_order': 768, 'label': '48C7', 'order': 48, 'powers': [151, 95], 'representative': 718, 'size': 2}
  • id: 105805889
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 190, 'group_counter': 56452, 'group_order': 768, 'label': '48C-7', 'order': 48, 'powers': [152, 96], 'representative': 330, 'size': 2}
  • id: 105805890
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 191, 'group_counter': 56452, 'group_order': 768, 'label': '48C11', 'order': 48, 'powers': [149, 94], 'representative': 94, 'size': 2}
  • id: 105805891
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 192, 'group_counter': 56452, 'group_order': 768, 'label': '48C-11', 'order': 48, 'powers': [150, 93], 'representative': 106, 'size': 2}
  • id: 105805892
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 193, 'group_counter': 56452, 'group_order': 768, 'label': '48C13', 'order': 48, 'powers': [150, 92], 'representative': 298, 'size': 2}
  • id: 105805893
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 194, 'group_counter': 56452, 'group_order': 768, 'label': '48C-13', 'order': 48, 'powers': [149, 91], 'representative': 286, 'size': 2}
  • id: 105805894
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 195, 'group_counter': 56452, 'group_order': 768, 'label': '48C17', 'order': 48, 'powers': [152, 89], 'representative': 138, 'size': 2}
  • id: 105805895
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 196, 'group_counter': 56452, 'group_order': 768, 'label': '48C-17', 'order': 48, 'powers': [151, 90], 'representative': 526, 'size': 2}
  • id: 105805896
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 197, 'group_counter': 56452, 'group_order': 768, 'label': '48C19', 'order': 48, 'powers': [152, 91], 'representative': 430, 'size': 2}
  • id: 105805897
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 198, 'group_counter': 56452, 'group_order': 768, 'label': '48C-19', 'order': 48, 'powers': [151, 92], 'representative': 42, 'size': 2}
  • id: 105805898
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 199, 'group_counter': 56452, 'group_order': 768, 'label': '48C23', 'order': 48, 'powers': [150, 95], 'representative': 590, 'size': 2}
  • id: 105805901
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 200, 'group_counter': 56452, 'group_order': 768, 'label': '48C-23', 'order': 48, 'powers': [149, 96], 'representative': 202, 'size': 2}
  • id: 105805902
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 201, 'group_counter': 56452, 'group_order': 768, 'label': '48D1', 'order': 48, 'powers': [149, 97], 'representative': 394, 'size': 2}
  • id: 105805903
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 202, 'group_counter': 56452, 'group_order': 768, 'label': '48D-1', 'order': 48, 'powers': [150, 98], 'representative': 14, 'size': 2}
  • id: 105805904
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 203, 'group_counter': 56452, 'group_order': 768, 'label': '48D5', 'order': 48, 'powers': [151, 101], 'representative': 346, 'size': 2}
  • id: 105805905
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 204, 'group_counter': 56452, 'group_order': 768, 'label': '48D-5', 'order': 48, 'powers': [152, 102], 'representative': 238, 'size': 2}
  • id: 105805906
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 205, 'group_counter': 56452, 'group_order': 768, 'label': '48D7', 'order': 48, 'powers': [151, 103], 'representative': 334, 'size': 2}
  • id: 105805907
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 206, 'group_counter': 56452, 'group_order': 768, 'label': '48D-7', 'order': 48, 'powers': [152, 104], 'representative': 714, 'size': 2}
  • id: 105805908
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 207, 'group_counter': 56452, 'group_order': 768, 'label': '48D11', 'order': 48, 'powers': [149, 102], 'representative': 110, 'size': 2}
  • id: 105805909
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 208, 'group_counter': 56452, 'group_order': 768, 'label': '48D-11', 'order': 48, 'powers': [150, 101], 'representative': 90, 'size': 2}
  • id: 105805910
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 209, 'group_counter': 56452, 'group_order': 768, 'label': '48D13', 'order': 48, 'powers': [150, 100], 'representative': 282, 'size': 2}
  • id: 105805912
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 210, 'group_counter': 56452, 'group_order': 768, 'label': '48D-13', 'order': 48, 'powers': [149, 99], 'representative': 302, 'size': 2}
  • id: 105805913
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 211, 'group_counter': 56452, 'group_order': 768, 'label': '48D17', 'order': 48, 'powers': [152, 97], 'representative': 522, 'size': 2}
  • id: 105805914
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 212, 'group_counter': 56452, 'group_order': 768, 'label': '48D-17', 'order': 48, 'powers': [151, 98], 'representative': 142, 'size': 2}
  • id: 105805915
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 213, 'group_counter': 56452, 'group_order': 768, 'label': '48D19', 'order': 48, 'powers': [152, 99], 'representative': 46, 'size': 2}
  • id: 105805916
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 214, 'group_counter': 56452, 'group_order': 768, 'label': '48D-19', 'order': 48, 'powers': [151, 100], 'representative': 426, 'size': 2}
  • id: 105805917
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 215, 'group_counter': 56452, 'group_order': 768, 'label': '48D23', 'order': 48, 'powers': [150, 103], 'representative': 206, 'size': 2}
  • id: 105805918
    {'aut_label': '48C1', 'centralizer': '2.a1.a1', 'counter': 216, 'group_counter': 56452, 'group_order': 768, 'label': '48D-23', 'order': 48, 'powers': [149, 104], 'representative': 586, 'size': 2}
• gps_qchar •

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

  
  
  • id: 3617637
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.1a', '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 3617648
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.1b', '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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 3617659
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.1c', '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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 3617670
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.1d', '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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 3617681
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.1e', '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, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 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, -2, -2, 2, 0, 2, 2, -2, -2, 0, 0, 0, 2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3617689
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.1f', '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, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 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, 2, 2, -2, 0, -2, -2, 2, 2, 0, 0, 0, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3617690
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.1g', '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, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, -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, -2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, -2, -2, -2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3617691
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.1h', '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, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, -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, 2, -2, -2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 2, 2, 2, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3617692
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.1i', '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, -2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -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, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, 2, 2, -2, -2], 'schur_index': 1}
  • id: 3617638
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.1j', '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, -2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 2, -2, 2, -2, -2, -2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, 2, -2, 2, 2, 2, -2, 2, 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, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, -2, 2, 2, 2, -2, 2, 2, -2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, 2, 2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, -2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2], 'schur_index': 1}
  • id: 3617643
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -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: 3617644
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, -2, -2, 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, 2, 2, -2, -2, -2, -2, 2, 2, -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: 3617645
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, -2, -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, -2, -2, 2, -2, -2, 2, 2, -2, 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: 3617646
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2d', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, -2, -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, 2, 2, 2, -2, -2, 2, -2, 2, 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: 3617647
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2e', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -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, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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: 3617649
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2f', 'multiplicity': 1, 'nt': [8, 5], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 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, -2, -2, -2, -2, -2, -2, -2, -2, -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': 2}
  • id: 3617650
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2g', 'multiplicity': 1, 'nt': [12, 5], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -2, -2, 2, -2, -2, -2, 2, -2, -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, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1], 'schur_index': 2}
  • id: 3617651
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2h', 'multiplicity': 1, 'nt': [12, 5], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, -1, 2, 2, 2, 2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, 2, -2, -2, 2, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 2, 2, -2, 2, 2, 2, -2, 2, 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, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1], 'schur_index': 2}
  • id: 3617639
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.1k', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, -4, -4, 4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, -4, -4, 0, 4, 0, 0, 4, 0, 0, 0, 0, -4, 0, -4, 0, 4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, -4, 4, 0, 0, 4, -4, -4, 0, 4, 4, -4, 0, 4, -4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, -4, 0, 4, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, -4, 0, 0, 0, -4, 4, -4, 0, 0, 0, -4, 0, -4, 4, 4, 0, 4, -4, 0, -4, 4, 0, 0, 0, 4, -4, 0, 4, -4, 0, 4, 4, 0, 4, 4, -4, 0, -4, 0, 0, 0, 0, 4, -4, 4, 0, 0, 0, -4, 4, -4, 4, 0, 4, 0, 0, 0, 0, 0, 0, 4, -4, 0, -4, 0, 0, 0, 4, 0, 0, -4, 4, -4, -4, -4, 0, 0, 0, -4, 4, 0, 0, -4, 4, 0, -4, 0, 0, 4, -4], 'schur_index': 1}
  • id: 3617640
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.1l', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, -4, -4, 4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, -4, -4, 0, 4, 0, 0, 4, 0, 0, 0, 0, -4, 0, -4, 0, 4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, -4, 4, 0, 0, 4, 4, 4, 0, -4, -4, 4, 0, -4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, -4, 4, 0, -4, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, -4, 0, 0, 0, -4, 4, -4, 0, 0, 0, -4, 0, -4, 4, 4, 0, 4, -4, 0, -4, 4, 0, 0, 0, 4, -4, 0, -4, 4, 0, -4, -4, 0, -4, -4, 4, 0, 4, 0, 0, 0, 0, -4, 4, -4, 0, 0, 0, 4, -4, 4, -4, 0, -4, 0, 0, 0, 0, 0, 0, -4, 4, 0, 4, 0, 0, 0, -4, 0, 0, 4, -4, 4, 4, 4, 0, 0, 0, 4, -4, 0, 0, 4, -4, 0, 4, 0, 0, -4, 4], 'schur_index': 1}
  • id: 3617641
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.1m', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, -4, -4, -4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, -4, -4, 0, -4, 0, 0, 4, 0, 0, 0, 0, 4, 0, -4, 0, -4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, -4, -4, -4, -4, 4, 4, 0, 0, 4, 0, 0, 4, 0, -4, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, -4, 4, -4, 0, 0, 0, -4, 0, 4, -4, -4, 0, -4, 4, 0, 4, -4, 0, 0, 0, 4, -4, -4, 0, 0, 4, 0, 0, 4, 0, 0, 0, -4, 0, 4, 4, -4, -4, 0, 0, 0, 4, -4, -4, 0, 0, 0, 0, 4, 0, -4, -4, 4, -4, 4, 4, 0, 0, 4, 0, 4, 4, -4, 0, -4, 4, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, -4, -4, 0, 0, -4, 0, 4, 4, 0, 0], 'schur_index': 1}
  • id: 3617642
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.1n', 'multiplicity': 4, 'nt': [8, 1], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, -4, -4, -4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, -4, -4, 0, -4, 0, 0, 4, 0, 0, 0, 0, 4, 0, -4, 0, -4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, -4, -4, 0, -4, 4, 4, 4, 4, -4, -4, 0, 0, -4, 0, 0, -4, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, -4, 4, -4, 0, 0, 0, -4, 0, 4, -4, -4, 0, -4, 4, 0, 4, -4, 0, 0, 0, 4, -4, 4, 0, 0, -4, 0, 0, -4, 0, 0, 0, 4, 0, -4, -4, 4, 4, 0, 0, 0, -4, 4, 4, 0, 0, 0, 0, -4, 0, 4, 4, -4, 4, -4, -4, 0, 0, -4, 0, -4, -4, 4, 0, 4, -4, 0, 0, 0, 0, 0, 4, -4, 4, 0, 0, 4, 4, 0, 0, 4, 0, -4, -4, 0, 0], 'schur_index': 1}
  • id: 3617652
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2i', 'multiplicity': 2, 'nt': [8, 6], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, 4, 4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, 4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, -4, 0, -4, -4, 0, 0, 0, 0, 0, -4, 0, 4, 0, 4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, -4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, -4, 0, -4, -4, 4, 0, 0, 0, -4, 4, 4, 0, 4, 0, 0, 0, -4, 0, 0, -4, 0, 0, 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], 'schur_index': 1}
  • id: 3617653
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2j', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, -4, -4, 4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, -4, 4, 4, -4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, -4, 4, 4, 0, -4, 0, 0, -4, 0, 0, 0, 0, -4, 0, -4, 0, 4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, -4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, 4, 0, 0, 0, 4, -4, 4, 0, 0, 0, 4, 0, 4, -4, -4, 0, -4, 4, 0, 4, -4, 0, 0, 0, -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], 'schur_index': 1}
  • id: 3617654
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2k', 'multiplicity': 2, 'nt': [8, 7], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, -4, -4, -4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, -4, 4, 4, 0, 4, 0, 0, -4, 0, 0, 0, 0, 4, 0, -4, 0, -4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, -4, 0, 0, 0, 4, -4, 4, 0, 0, 0, 4, 0, -4, 4, 4, 0, 4, -4, 0, -4, 4, 0, 0, 0, -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], 'schur_index': 1}
  • id: 3617655
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2l', 'multiplicity': 2, 'nt': [8, 8], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, 4, 4, -4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, -4, 4, -4, -4, -4, 4, 4, 4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, -4, 0, 4, -4, 0, 0, 0, 0, 0, 4, 0, 4, 0, -4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 0, 0, -4, 0, 4, -4, 4, 0, 0, 0, -4, -4, -4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, -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], 'schur_index': 1}
  • id: 3617656
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2m', 'multiplicity': 2, 'nt': [8, 8], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, 4, 4, -4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, -4, 4, -4, -4, 4, -4, -4, -4, -4, 4, 4, 4, -4, 0, 0, 0, 0, 0, 0, 4, 0, -4, 4, 0, 0, 0, 0, 0, 4, 0, 4, 0, -4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 0, 0, 4, 0, -4, 4, -4, 0, 0, 0, 4, 4, 4, 0, -4, 0, 0, 0, -4, 0, 0, -4, 0, 0, 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], 'schur_index': 1}
  • id: 3617657
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2n', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, 4, -2, 4, 4, -4, -4, -4, -4, -4, 4, 4, 4, 4, -4, -4, 4, 2, 2, -2, 2, 2, -2, -2, -4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, -4, 4, 4, 4, 4, -4, -4, 4, 4, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, 2, 2, -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: 3617658
    {'cdim': 2, 'counter': 29, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2o', 'multiplicity': 2, 'nt': [12, 11], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, 4, -2, 4, 4, -4, -4, 4, 4, -4, -4, -4, -4, -4, 4, 4, 4, 2, 2, -2, 2, 2, -2, -2, 4, -4, -4, -4, -4, 4, 4, 4, 4, -4, -4, -4, 4, 4, 4, -4, -4, 4, -4, 4, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, -2, -2, 2, 2, -2, 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: 3617660
    {'cdim': 2, 'counter': 30, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2p', 'multiplicity': 2, 'nt': [12, 12], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, -2, 4, 4, 4, 4, -4, -4, 4, -4, -4, -4, -4, -4, -4, 4, -2, -2, -2, -2, -2, -2, -2, 4, 4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, -4, -4, 4, -4, 4, 4, -4, 2, 2, 2, 2, -2, 2, -2, 2, -2, 2, -2, 2, 2, 2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, -2, 2, -2, -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: 3617661
    {'cdim': 2, 'counter': 31, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2q', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, 4, -2, 4, 4, -4, -4, -4, -4, -4, 4, 4, 4, 4, -4, -4, 4, 2, 2, -2, 2, 2, -2, -2, 4, -4, -4, -4, -4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 4, 4, -4, -4, -2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, -2, -2, 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: 3617662
    {'cdim': 2, 'counter': 32, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2r', 'multiplicity': 2, 'nt': [12, 13], 'qdim': 4, 'qvalues': [4, -4, -4, 4, -4, 4, -2, 4, 4, -4, -4, 4, 4, -4, -4, -4, -4, -4, 4, 4, 4, 2, 2, -2, 2, 2, -2, -2, -4, 4, 4, 4, 4, -4, -4, -4, -4, 4, 4, 4, -4, -4, -4, 4, 4, -4, 4, -4, 2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, 2, -2, -2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, 2, 2, -2, -2, 2, -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: 3617663
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2s', 'multiplicity': 2, 'nt': [16, 14], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, 4, 4, 4, 4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, -4, 4, -4, 4, 4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 0, 0, 0, 0, 0, -4, 0, 4, 0, 4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, -4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 0, 0, 4, 0, 4, 4, -4, 0, 0, 0, 4, -4, -4, 0, -4, 0, 0, 0, 4, 0, 0, 4, 0, 0, -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], 'schur_index': 2}
  • id: 3617664
    {'cdim': 2, 'counter': 34, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2t', 'multiplicity': 2, 'nt': [24, 5], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, -2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, -2, -2, -2, -2, -2, -2, -2, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 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': 2}
  • id: 3617665
    {'cdim': 2, 'counter': 35, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2u', 'multiplicity': 2, 'nt': [24, 8], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, -2, -4, -4, 4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, -4, -4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 2, 0, 2, 0, -2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, -2, -4, -4, 0, 4, 4, -4, 0, 4, -4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, -4, 0, 4, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, 0, 0, 0, 2, -2, 2, 0, 0, 0, 2, 0, 2, -2, -2, 0, -2, 2, 0, 2, -2, 0, 0, 0, -2, 2, 0, -2, 2, 0, -2, -2, 0, -2, -2, 2, 0, 2, 0, 0, 0, 0, -2, 2, -2, 0, 0, 0, 2, -2, 2, -2, 0, -2, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, 0, -2, 0, 0, 2, -2, 2, 2, 2, 0, 0, 0, 2, -2, 0, 0, 2, -2, 0, 2, 0, 0, -2, 2], 'schur_index': 1}
  • id: 3617666
    {'cdim': 2, 'counter': 36, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2v', 'multiplicity': 2, 'nt': [24, 8], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, -2, -4, -4, 4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 4, 2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, 4, 4, -4, -4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 2, 0, 2, 0, -2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, 2, -2, 0, 0, -2, 4, 4, 0, -4, -4, 4, 0, -4, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, -4, 0, -4, 4, 0, -4, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, 0, 0, 0, 2, -2, 2, 0, 0, 0, 2, 0, 2, -2, -2, 0, -2, 2, 0, 2, -2, 0, 0, 0, -2, 2, 0, 2, -2, 0, 2, 2, 0, 2, 2, -2, 0, -2, 0, 0, 0, 0, 2, -2, 2, 0, 0, 0, -2, 2, -2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 0, 2, 0, 0, -2, 2, -2, -2, -2, 0, 0, 0, -2, 2, 0, 0, -2, 2, 0, -2, 0, 0, 2, -2], 'schur_index': 1}
  • id: 3617667
    {'cdim': 2, 'counter': 37, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2w', 'multiplicity': 2, 'nt': [24, 8], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, -2, -4, -4, -4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, -2, 2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, -4, -4, 0, -4, 0, 0, 4, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 4, 4, 0, 4, -4, -4, -4, -4, 4, 4, 0, 0, 4, 0, 0, 4, 0, -4, 0, -4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, 2, -2, 2, 0, 0, 0, 2, 0, -2, 2, 2, 0, 2, -2, 0, -2, 2, 0, 0, 0, -2, 2, 2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 2, 0, -2, -2, 2, 2, 0, 0, 0, -2, 2, 2, 0, 0, 0, 0, -2, 0, 2, 2, -2, 2, -2, -2, 0, 0, -2, 0, -2, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 2, -2, 2, 0, 0, 2, 2, 0, 0, 2, 0, -2, -2, 0, 0], 'schur_index': 1}
  • id: 3617668
    {'cdim': 2, 'counter': 38, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2x', 'multiplicity': 2, 'nt': [24, 8], 'qdim': 4, 'qvalues': [4, 4, 4, 4, -4, -4, -2, -4, -4, -4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, -2, 2, -2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, -4, 4, -4, -4, 0, -4, 0, 0, 4, 0, 0, 0, 0, -2, 0, 2, 0, 2, 0, 2, 0, 0, 0, -2, 0, 0, 0, 0, -2, 2, 0, 0, -2, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, -4, -4, 0, -4, 4, 4, 4, 4, -4, -4, 0, 0, -4, 0, 0, -4, 0, 4, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 0, 0, 0, 2, -2, 2, 0, 0, 0, 2, 0, -2, 2, 2, 0, 2, -2, 0, -2, 2, 0, 0, 0, -2, 2, -2, 0, 0, 2, 0, 0, 2, 0, 0, 0, -2, 0, 2, 2, -2, -2, 0, 0, 0, 2, -2, -2, 0, 0, 0, 0, 2, 0, -2, -2, 2, -2, 2, 2, 0, 0, 2, 0, 2, 2, -2, 0, -2, 2, 0, 0, 0, 0, 0, -2, 2, -2, 0, 0, -2, -2, 0, 0, -2, 0, 2, 2, 0, 0], 'schur_index': 1}
  • id: 3617669
    {'cdim': 2, 'counter': 39, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2y', 'multiplicity': 4, 'nt': [16, 49], 'qdim': 8, 'qvalues': [8, -8, -8, 8, -8, 8, 8, -8, -8, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, -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, 8, 0, -8, 0, 8, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 8, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3617671
    {'cdim': 2, 'counter': 40, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2z', 'multiplicity': 4, 'nt': [16, 49], 'qdim': 8, 'qvalues': [8, 8, 8, 8, 8, 8, 8, -8, -8, -8, -8, 0, 0, -8, 0, 0, 0, 0, 0, 0, -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, -8, 0, -8, 0, -8, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, -8, -8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3617672
    {'cdim': 2, 'counter': 41, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2aa', 'multiplicity': 4, 'nt': [24, 20], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 8, -8, -4, -8, -8, 8, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 8, 4, -4, -4, 4, -4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, -8, -8, 8, 8, 0, -8, 0, 0, -8, 0, 0, 0, 0, 4, 0, 4, 0, -4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, 4, -4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, -4, 0, 0, 0, -4, 4, -4, 0, 0, 0, -4, 0, -4, 4, 4, 0, 4, -4, 0, -4, 4, 0, 0, 0, 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], 'schur_index': 1}
  • id: 3617673
    {'cdim': 2, 'counter': 42, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2ab', 'multiplicity': 4, 'nt': [24, 20], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -4, -8, -8, -8, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, -4, 4, -4, -4, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 8, -8, 8, 8, 0, 8, 0, 0, -8, 0, 0, 0, 0, -4, 0, 4, 0, 4, 0, 4, 0, 0, 0, -4, 0, 0, 0, 0, -4, 4, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 4, 0, 0, 0, -4, 4, -4, 0, 0, 0, -4, 0, 4, -4, -4, 0, -4, 4, 0, 4, -4, 0, 0, 0, 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], 'schur_index': 1}
  • id: 3617674
    {'cdim': 2, 'counter': 43, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2ac', 'multiplicity': 4, 'nt': [24, 34], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -4, 8, 8, 8, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, -8, -4, 4, -4, -4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, -8, 0, 0, 0, 0, 0, 0, -8, 0, -8, -8, 0, 0, 0, 0, 0, 4, 0, -4, 0, -4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, 4, 0, 0, 4, 0, 4, 4, -4, 0, 0, 0, 4, -4, -4, 0, -4, 0, 0, 0, 4, 0, 0, 4, 0, 0, -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], 'schur_index': 1}
  • id: 3617675
    {'cdim': 2, 'counter': 44, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2ad', 'multiplicity': 4, 'nt': [24, 35], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 8, -8, -4, 8, 8, -8, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, -8, 4, -4, -4, 4, -4, 4, 4, -8, 8, 8, 8, 8, -8, -8, -8, 8, 0, 0, 0, 0, 0, 0, -8, 0, 8, -8, 0, 0, 0, 0, 0, -4, 0, -4, 0, 4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, -4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, 4, 0, 0, 4, 0, -4, 4, -4, 0, 0, 0, 4, 4, 4, 0, -4, 0, 0, 0, -4, 0, 0, -4, 0, 0, 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], 'schur_index': 1}
  • id: 3617676
    {'cdim': 2, 'counter': 45, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2ae', 'multiplicity': 4, 'nt': [24, 35], 'qdim': 8, 'qvalues': [8, -8, -8, 8, 8, -8, -4, 8, 8, -8, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, -8, 4, -4, -4, 4, -4, 4, 4, 8, -8, -8, -8, -8, 8, 8, 8, -8, 0, 0, 0, 0, 0, 0, 8, 0, -8, 8, 0, 0, 0, 0, 0, -4, 0, -4, 0, 4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, -4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, -4, -4, 0, 0, -4, 0, 4, -4, 4, 0, 0, 0, -4, -4, -4, 0, 4, 0, 0, 0, 4, 0, 0, 4, 0, 0, -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], 'schur_index': 1}
  • id: 3617677
    {'cdim': 2, 'counter': 46, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2af', 'multiplicity': 4, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, 8, 8, 8, -8, -8, -4, 8, 8, 8, 8, 0, 0, -8, 0, 0, 0, 0, 0, 0, -8, -4, 4, -4, -4, 4, 4, 4, -8, -8, -8, -8, -8, -8, -8, -8, 8, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0, 0, 0, 0, 4, 0, -4, 0, -4, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 4, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 4, -4, 0, 0, -4, 0, -4, -4, 4, 0, 0, 0, -4, 4, 4, 0, 4, 0, 0, 0, -4, 0, 0, -4, 0, 0, 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], 'schur_index': 2}
  • id: 3617678
    {'cdim': 2, 'counter': 47, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2ag', 'multiplicity': 8, 'nt': [32, 1874], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 0, 0, 16, 0, 0, 0, 0, -8, -8, 0, 8, -8, -8, 8, 8, 8, 0, -16, 0, -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, -8, 8, 8, 8, 0, 8, 0, -8, 0, 8, 0, -8, -8, -8, 0, -8, 8, -8, -8, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3617679
    {'cdim': 2, 'counter': 48, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2ah', 'multiplicity': 8, 'nt': [32, 1874], 'qdim': 16, 'qvalues': [16, -16, 16, -16, 0, 0, 16, 0, 0, 0, 0, 8, 8, 0, -8, 8, 8, -8, -8, -8, 0, -16, 0, -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, 8, -8, -8, -8, 0, -8, 0, 8, 0, -8, 0, 8, 8, 8, 0, 8, -8, 8, 8, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3617680
    {'cdim': 2, 'counter': 49, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2ai', 'multiplicity': 8, 'nt': [32, 1874], 'qdim': 16, 'qvalues': [16, 16, -16, -16, 0, 0, 16, 0, 0, 0, 0, -8, -8, 0, -8, 8, 8, -8, 8, 8, 0, 16, 0, -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, 8, -8, -8, -8, 0, 8, 0, 8, 0, 8, 0, 8, -8, -8, 0, 8, 8, -8, -8, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3617682
    {'cdim': 2, 'counter': 50, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2aj', 'multiplicity': 8, 'nt': [32, 1874], 'qdim': 16, 'qvalues': [16, 16, -16, -16, 0, 0, 16, 0, 0, 0, 0, 8, 8, 0, 8, -8, -8, 8, -8, -8, 0, 16, 0, -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, -8, 8, 8, 8, 0, -8, 0, -8, 0, -8, 0, -8, 8, 8, 0, -8, -8, 8, 8, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3617683
    {'cdim': 2, 'counter': 51, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2ak', 'multiplicity': 8, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, -16, -16, 16, -16, 16, -8, -16, -16, 16, 16, 0, 0, 16, 0, 0, 0, 0, 0, 0, -16, 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, -8, 0, 8, 0, -8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, -8, -8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3617684
    {'cdim': 2, 'counter': 52, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2al', 'multiplicity': 8, 'nt': [48, 0], 'qdim': 16, 'qvalues': [16, 16, 16, 16, 16, 16, -8, -16, -16, -16, -16, 0, 0, -16, 0, 0, 0, 0, 0, 0, -16, -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, 8, 0, 8, 0, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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: 3617685
    {'cdim': 2, 'counter': 53, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2am', 'multiplicity': 16, 'nt': [96, 0], 'qdim': 32, 'qvalues': [32, -32, 32, -32, 0, 0, -16, 0, 0, 0, 0, -16, -16, 0, 16, -16, -16, 16, 16, 16, 0, 16, 0, 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, 8, -8, -8, -8, 0, -8, 0, 8, 0, -8, 0, 8, 8, 8, 0, 8, -8, 8, 8, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3617686
    {'cdim': 2, 'counter': 54, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2an', 'multiplicity': 16, 'nt': [96, 0], 'qdim': 32, 'qvalues': [32, -32, 32, -32, 0, 0, -16, 0, 0, 0, 0, 16, 16, 0, -16, 16, 16, -16, -16, -16, 0, 16, 0, 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, -8, 8, 8, 8, 0, 8, 0, -8, 0, 8, 0, -8, -8, -8, 0, -8, 8, -8, -8, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3617687
    {'cdim': 2, 'counter': 55, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2ao', 'multiplicity': 16, 'nt': [96, 0], 'qdim': 32, 'qvalues': [32, 32, -32, -32, 0, 0, -16, 0, 0, 0, 0, -16, -16, 0, -16, 16, 16, -16, 16, 16, 0, -16, 0, 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, -8, 8, 8, 8, 0, -8, 0, -8, 0, -8, 0, -8, 8, 8, 0, -8, -8, 8, 8, 0, 0, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3617688
    {'cdim': 2, 'counter': 56, 'faithful': False, 'group': '768.56452', 'group_order': 768, 'image': None, 'label': '768.56452.2ap', 'multiplicity': 16, 'nt': [96, 0], 'qdim': 32, 'qvalues': [32, 32, -32, -32, 0, 0, -16, 0, 0, 0, 0, 16, 16, 0, 16, -16, -16, 16, -16, -16, 0, -16, 0, 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, 8, -8, -8, -8, 0, 8, 0, 8, 0, 8, 0, 8, -8, -8, 0, 8, 8, -8, -8, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 5209063
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  • id: 5209174
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  • id: 5209202
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  • id: 5209213
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  • id: 5209224
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  • id: 5209235
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  • id: 5209246
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  • id: 5209257
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  • id: 5209268
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  • id: 5209064
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  • id: 5209075
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  • id: 5209086
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  • id: 5209097
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  • id: 5209108
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  • id: 5209119
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  • id: 5209130
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  • id: 5209141
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  • id: 5209152
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  • id: 5209163
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  • id: 5209175
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  • id: 5209186
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  • id: 5209194
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  • id: 5209195
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  • id: 5209196
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  • id: 5209197
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  • id: 5209198
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  • id: 5209199
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  • id: 5209200
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  • id: 5209201
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  • id: 5209203
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  • id: 5209204
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  • id: 5209205
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  • id: 5209206
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  • id: 5209259
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  • id: 5209260
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  • id: 5209261
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  • id: 5209262
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  • id: 5209263
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  • id: 5209264
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  • id: 5209265
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  • id: 5209266
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  • id: 5209267
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  • id: 5209269
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  • id: 5209270
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  • id: 5209271
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  • id: 5209272
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  • id: 5209273
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  • id: 5209274
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  • id: 5209275
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  • id: 5209276
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  • id: 5209277
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  • id: 5209278
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  • id: 5209065
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  • id: 5209066
    {'center': '24.b1.a1', 'center_index': 24, 'center_order': 32, 'counter': 101, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, -4, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '48.8', 'image_order': 48, 'indicator': -1, 'kernel': '48.c1.a1', 'kernel_order': 16, 'label': '768.56452.2af1', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 0]], [[-1, 2], [-1, -2]], [[-1, 0]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 2], [1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 2], [-1, -2]], [[1, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]]]}
  • id: 5209067
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  • id: 5209068
    {'center': '24.b1.a1', 'center_index': 24, 'center_order': 32, 'counter': 103, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, -4, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '48.8', 'image_order': 48, 'indicator': -1, 'kernel': '48.c1.a1', 'kernel_order': 16, 'label': '768.56452.2af3', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0]], [[1, 2], [1, -2]], [[-1, 0]], [[-1, 2], [-1, -2]], [[-1, 0]], [[-1, 2], [-1, -2]], [[-1, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 0]], [[-1, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 0]], [[-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2], [1, -2]], [[1, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]]]}
  • id: 5209069
    {'center': '24.b1.a1', 'center_index': 24, 'center_order': 32, 'counter': 104, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, -4, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '48.8', 'image_order': 48, 'indicator': -1, 'kernel': '48.c1.a1', 'kernel_order': 16, 'label': '768.56452.2af4', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0]], [[1, 2], [1, -2]], [[-1, 0]], [[-1, 2], [-1, -2]], [[-1, 0]], [[-1, 2], [-1, -2]], [[-1, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 0]], [[-1, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 0]], [[-1, 2], [-1, -2]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 2], [1, -2]], [[1, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]]]}
  • id: 5209070
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 105, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '128.105', 'image_order': 128, 'indicator': 0, 'kernel': '128.a1.b1', 'kernel_order': 6, 'label': '768.56452.2ag1', 'nt': [32, 1874], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[2, 2]], [[-2, 2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[1, 2], [1, 6]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 0], [-1, 4]], [[-2, 4]], [[-1, 0], [1, 4]], [[2, 4]], [[1, 0], [-1, 4]], [[2, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-2, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-1, 1], [1, 3]], [[1, 5], [-1, 7]], [[-1, 3], [-1, 5]], [[1, 5], [-1, 7]], [[1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 3], [1, -3]], [[-1, 5], [1, 7]], [[1, 3], [1, 5]], [[-1, 5], [1, 7]], [[1, 3], [1, 5]], [[-1, 1], [1, 3]], [[-1, 3], [-1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[2, 2]], [[1, 2], [1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[0, 0]], [[2, 2]], [[-2, 6]], [[1, 2], [1, 6]], [[-2, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[2, 6]], [[-2, 2]], [[2, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[-1, 1], [-1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [1, 3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3]], [[-1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [1, 3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 5]], [[1, 3], [1, 5]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 1], [-1, 3]], [[-1, 3], [-1, -3]], [[1, 3], [1, 5]], [[-1, 3], [-1, 5]], [[-1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 3]], [[1, 3], [1, 5]], [[-1, 3], [-1, 5]], [[1, 1], [1, -1]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, 7]], [[-1, 1], [-1, 3]], [[1, 3], [1, -3]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, 7]], [[1, 1], [1, 3]], [[1, 1], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[1, 1], [-1, 3]], [[1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 7]], [[1, 3], [1, -3]], [[-1, 1], [-1, 7]], [[1, 5], [-1, 7]], [[1, 5], [1, 7]], [[1, 3], [1, 5]], [[-1, 3], [-1, 5]], [[-1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3]], [[1, 5], [-1, 7]]]}
  • id: 5209071
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  • id: 5209072
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 107, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '128.105', 'image_order': 128, 'indicator': 0, 'kernel': '128.a1.b1', 'kernel_order': 6, 'label': '768.56452.2ag3', 'nt': [32, 1874], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[2, 2]], [[-2, 2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[1, 2], [1, 6]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 0], [-1, 4]], [[-2, 4]], [[-1, 0], [1, 4]], [[2, 4]], [[1, 0], [-1, 4]], [[2, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-2, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 1], [-1, 3]], [[-1, 5], [1, 7]], [[1, 3], [1, 5]], [[-1, 5], [1, 7]], [[-1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 3], [1, -3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 3], [-1, -3]], [[1, 5], [-1, 7]], [[-1, 3], [-1, 5]], [[1, 5], [-1, 7]], [[-1, 3], [-1, 5]], [[1, 1], [-1, 3]], [[1, 3], [1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[2, 2]], [[1, 2], [1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[0, 0]], [[2, 2]], [[-2, 6]], [[1, 2], [1, 6]], [[-2, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[2, 6]], [[-2, 2]], [[2, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[1, 1], [1, 7]], [[1, 5], [1, 7]], [[-1, 1], [-1, 3]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3]], [[1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [-1, 3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, 5]], [[-1, 3], [-1, 5]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [1, 3]], [[1, 3], [1, -3]], [[-1, 3], [-1, 5]], [[1, 3], [1, 5]], [[1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, 3]], [[-1, 3], [-1, 5]], [[1, 3], [1, 5]], [[-1, 1], [-1, -1]], [[1, 1], [1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, 7]], [[1, 1], [1, 3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, 7]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 7]], [[1, 3], [1, -3]], [[1, 5], [1, 7]], [[1, 5], [-1, 7]], [[-1, 1], [1, 3]], [[-1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 7]], [[-1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[-1, 3], [-1, 5]], [[1, 3], [1, 5]], [[1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [1, 3]], [[-1, 5], [1, 7]]]}
  • id: 5209073
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  • id: 5209074
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  • id: 5209076
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  • id: 5209077
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 111, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '128.105', 'image_order': 128, 'indicator': 0, 'kernel': '128.a1.b1', 'kernel_order': 6, 'label': '768.56452.2ag7', 'nt': [32, 1874], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[2, 6]], [[-2, 2]], [[2, 6]], [[-2, 2]], [[2, 2]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[-1, 2], [-1, 6]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 0], [-1, 4]], [[-2, 4]], [[-1, 0], [1, 4]], [[2, 4]], [[1, 0], [-1, 4]], [[2, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-2, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 3]], [[1, 1], [1, 7]], [[-1, 1], [-1, 3]], [[1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 3], [1, -3]], [[-1, 5], [1, 7]], [[1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, 5]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, 5]], [[1, 3], [1, 5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[-1, 1], [-1, 7]], [[1, 1], [1, 3]], [[-1, 1], [-1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[0, 0]], [[-2, 2]], [[2, 6]], [[-1, 2], [-1, 6]], [[2, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[1, 2], [1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[-1, 3], [-1, 5]], [[1, 1], [-1, 3]], [[1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 1], [-1, 3]], [[1, 3], [1, 5]], [[-1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[-1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3]], [[-1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 5]], [[1, 5], [-1, 7]], [[1, 3], [1, 5]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[-1, 5], [1, 7]], [[1, 3], [1, 5]], [[1, 1], [1, -1]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 3], [1, 5]], [[-1, 5], [-1, 7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, 7]], [[-1, 1], [-1, 3]]]}
  • id: 5209078
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  • id: 5209079
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 113, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '128.105', 'image_order': 128, 'indicator': 0, 'kernel': '128.a1.b1', 'kernel_order': 6, 'label': '768.56452.2ah1', 'nt': [32, 1874], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[2, 2]], [[-2, 2]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[-1, 2], [-1, 6]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[-2, 4]], [[1, 0], [-1, 4]], [[2, 4]], [[-1, 0], [1, 4]], [[2, 4]], [[1, 0], [1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 0], [-1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-2, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[1, 5], [1, 7]], [[1, 1], [1, 3]], [[1, 1], [1, 7]], [[1, 1], [1, 3]], [[-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[1, 3], [1, -3]], [[1, 5], [-1, 7]], [[-1, 1], [1, 3]], [[1, 1], [-1, 3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, 5]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, 5]], [[1, 3], [1, 5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 3]], [[1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[-1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[2, 2]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[0, 0]], [[2, 2]], [[-2, 6]], [[-1, 2], [-1, 6]], [[-2, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[1, 2], [1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[2, 6]], [[-2, 2]], [[2, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[-1, 3], [-1, 5]], [[-1, 1], [1, 3]], [[-1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [1, 3]], [[1, 3], [1, 5]], [[1, 5], [1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [1, 3]], [[1, 1], [-1, 3]], [[1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [-1, 3]], [[1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 5]], [[-1, 5], [1, 7]], [[1, 3], [1, 5]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[1, 3], [1, 5]], [[1, 1], [1, -1]], [[-1, 3], [-1, 5]], [[1, 1], [1, 3]], [[1, 1], [-1, 3]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 3], [1, 5]], [[1, 5], [1, 7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, 7]], [[1, 1], [1, 3]]]}
  • id: 5209080
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 114, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '128.105', 'image_order': 128, 'indicator': 0, 'kernel': '128.a1.b1', 'kernel_order': 6, 'label': '768.56452.2ah2', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[2, 2]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[2, 6]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[1, 2], [1, 6]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[-1, 0], [-1, 4]], [[2, 4]], [[1, 0], [1, 4]], [[-2, 4]], [[-1, 0], [-1, 4]], [[-2, 4]], [[1, 0], [-1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[1, 0], [1, 4]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[2, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[-1, 1], [-1, 3]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [1, 3]], [[-1, 1], [1, 3]], [[1, 3], [1, -3]], [[1, 1], [-1, 3]], [[-1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, 3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 5]], [[1, 3], [1, 5]], [[1, 3], [1, 5]], [[-1, 3], [-1, 5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [1, 7]], [[1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 3]], [[1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 5], [1, 7]], [[1, 1], [1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[-2, 6]], [[1, 2], [1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[0, 0]], [[-2, 6]], [[2, 2]], [[1, 2], [1, 6]], [[2, 2]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[-1, 2], [-1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[-2, 2]], [[2, 6]], [[-2, 2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[1, 3], [1, 5]], [[-1, 5], [1, 7]], [[-1, 1], [1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 3], [-1, -3]], [[1, 1], [1, 3]], [[-1, 1], [1, 3]], [[-1, 5], [1, 7]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [-1, 7]], [[1, 1], [-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [1, 3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, 5]], [[-1, 1], [1, 3]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, -1]], [[-1, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [-1, 3]], [[-1, 3], [-1, 5]], [[1, 1], [1, -1]], [[1, 3], [1, 5]], [[-1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, 3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, 3]], [[-1, 5], [-1, 7]]]}
  • id: 5209081
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 115, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '128.105', 'image_order': 128, 'indicator': 0, 'kernel': '128.a1.b1', 'kernel_order': 6, 'label': '768.56452.2ah3', 'nt': [32, 1874], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[2, 2]], [[-2, 2]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[-1, 2], [-1, 6]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[-2, 4]], [[1, 0], [-1, 4]], [[2, 4]], [[-1, 0], [1, 4]], [[2, 4]], [[1, 0], [1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 0], [-1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-2, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 3]], [[1, 5], [1, 7]], [[1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 5], [1, 7]], [[1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, 7]], [[1, 3], [1, -3]], [[-1, 3], [-1, 5]], [[1, 3], [1, 5]], [[1, 3], [1, 5]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 7]], [[1, 1], [1, 3]], [[1, 1], [1, 7]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[2, 2]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[0, 0]], [[2, 2]], [[-2, 6]], [[-1, 2], [-1, 6]], [[-2, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[1, 2], [1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[2, 6]], [[-2, 2]], [[2, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[1, 3], [1, 5]], [[1, 1], [-1, 3]], [[1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[1, 3], [1, -3]], [[1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 1], [-1, 3]], [[-1, 3], [-1, 5]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[-1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[-1, 5], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 3], [1, -3]], [[1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3]], [[-1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[1, 5], [-1, 7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, 5]], [[1, 5], [-1, 7]], [[-1, 3], [-1, 5]], [[1, 1], [1, -1]], [[1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[-1, 5], [1, 7]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, -1]], [[1, 3], [1, 5]], [[-1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 3], [-1, 5]], [[-1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, 7]], [[-1, 1], [-1, 3]]]}
  • id: 5209082
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 116, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '128.105', 'image_order': 128, 'indicator': 0, 'kernel': '128.a1.b1', 'kernel_order': 6, 'label': '768.56452.2ah4', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-2, 2]], [[2, 6]], [[2, 2]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[2, 6]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[1, 2], [1, 6]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[-1, 0], [-1, 4]], [[2, 4]], [[1, 0], [1, 4]], [[-2, 4]], [[-1, 0], [-1, 4]], [[-2, 4]], [[1, 0], [-1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[1, 0], [1, 4]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[2, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[1, 1], [1, 3]], [[1, 5], [1, 7]], [[1, 1], [1, 7]], [[1, 5], [1, 7]], [[-1, 1], [-1, 3]], [[1, 1], [-1, 3]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3]], [[1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, 3]], [[1, 3], [1, -3]], [[1, 3], [1, 5]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, 5]], [[1, 3], [1, 5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 3]], [[1, 1], [1, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[-2, 6]], [[1, 2], [1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[0, 0]], [[-2, 6]], [[2, 2]], [[1, 2], [1, 6]], [[2, 2]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[-1, 2], [-1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[-2, 2]], [[2, 6]], [[-2, 2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[-1, 3], [-1, 5]], [[1, 5], [-1, 7]], [[1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 3], [1, -3]], [[-1, 1], [-1, 3]], [[1, 1], [-1, 3]], [[1, 5], [-1, 7]], [[1, 3], [1, 5]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 1], [1, 3]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 3], [1, -3]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [1, 7]], [[-1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, 5]], [[1, 1], [-1, 3]], [[1, 3], [1, 5]], [[1, 1], [1, -1]], [[1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[1, 3], [1, 5]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 5]], [[1, 5], [1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[1, 3], [1, 5]], [[1, 1], [1, 3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 3]], [[1, 5], [1, 7]]]}
  • id: 5209083
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 117, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '128.105', 'image_order': 128, 'indicator': 0, 'kernel': '128.a1.b1', 'kernel_order': 6, 'label': '768.56452.2ah5', 'nt': [32, 1874], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[-2, 4]], [[2, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-2, 6]], [[2, 2]], [[2, 6]], [[-2, 2]], [[2, 6]], [[-2, 2]], [[2, 2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[1, 2], [1, 6]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[-2, 4]], [[1, 0], [-1, 4]], [[2, 4]], [[-1, 0], [1, 4]], [[2, 4]], [[1, 0], [1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 0], [-1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-2, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[-1, 1], [1, 3]], [[1, 5], [-1, 7]], [[1, 3], [1, 5]], [[1, 5], [-1, 7]], [[1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 3], [-1, -3]], [[-1, 5], [1, 7]], [[-1, 3], [-1, 5]], [[-1, 5], [1, 7]], [[-1, 3], [-1, 5]], [[-1, 1], [1, 3]], [[1, 3], [1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[-2, 2]], [[1, 2], [1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[0, 0]], [[-2, 2]], [[2, 6]], [[1, 2], [1, 6]], [[2, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[-2, 6]], [[2, 2]], [[-2, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[1, 1], [1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [1, 3]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3]], [[-1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [1, 3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, 5]], [[-1, 3], [-1, 5]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 1], [-1, 3]], [[1, 3], [1, -3]], [[-1, 3], [-1, 5]], [[1, 3], [1, 5]], [[-1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 5], [1, 7]], [[1, 3], [1, -3]], [[-1, 1], [-1, 3]], [[-1, 3], [-1, 5]], [[1, 3], [1, 5]], [[-1, 1], [-1, -1]], [[1, 1], [1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, 7]], [[-1, 1], [-1, 3]], [[-1, 3], [-1, -3]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, 7]], [[1, 1], [1, 3]], [[-1, 1], [-1, 7]], [[1, 3], [1, -3]], [[-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[1, 1], [-1, 3]], [[1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 7]], [[1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 3], [-1, 5]], [[1, 3], [1, 5]], [[-1, 5], [1, 7]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [-1, 3]], [[1, 5], [-1, 7]]]}
  • id: 5209084
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  • id: 5209085
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  • id: 5209087
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  • id: 5209088
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  • id: 5209089
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  • id: 5209090
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  • id: 5209091
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  • id: 5209092
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  • id: 5209093
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  • id: 5209094
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 127, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '128.105', 'image_order': 128, 'indicator': 0, 'kernel': '128.a1.a1', 'kernel_order': 6, 'label': '768.56452.2ai7', 'nt': [32, 1874], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[2, 6]], [[-2, 2]], [[2, 2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[1, 2], [1, 6]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[1, 0], [-1, 4]], [[-2, 4]], [[1, 0], [-1, 4]], [[-2, 4]], [[1, 0], [-1, 4]], [[2, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[2, 4]], [[1, 0], [1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[1, 1], [1, 3]], [[1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, 7]], [[1, 1], [1, 3]], [[1, 1], [-1, 3]], [[-1, 1], [-1, 7]], [[1, 1], [-1, 3]], [[1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, 5]], [[1, 3], [1, 5]], [[-1, 5], [1, 7]], [[1, 5], [-1, 7]], [[-1, 3], [-1, 5]], [[-1, 1], [1, 3]], [[-1, 1], [1, 3]], [[-1, 3], [-1, 5]], [[1, 5], [1, 7]], [[1, 3], [1, -3]], [[-1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 3]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[2, 2]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[0, 0]], [[-2, 2]], [[2, 6]], [[-1, 2], [-1, 6]], [[-2, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[-1, 1], [-1, -1]], [[-1, 5], [1, 7]], [[1, 1], [-1, 3]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 7]], [[1, 1], [1, 3]], [[-1, 1], [1, 3]], [[1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[1, 3], [1, 5]], [[1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [1, 7]], [[-1, 5], [1, 7]], [[1, 1], [-1, 3]], [[-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[1, 5], [1, 7]], [[-1, 3], [-1, 5]], [[1, 1], [-1, 3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 5], [-1, 7]], [[-1, 1], [1, 3]], [[-1, 3], [-1, 5]], [[1, 1], [-1, 3]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, -1]], [[-1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 3], [1, 5]], [[1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 3], [1, 5]], [[1, 1], [1, -1]], [[1, 5], [1, 7]], [[1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 3]], [[1, 5], [1, 7]]]}
  • id: 5209095
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  • id: 5209096
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 129, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '128.105', 'image_order': 128, 'indicator': 0, 'kernel': '128.a1.a1', 'kernel_order': 6, 'label': '768.56452.2aj1', 'nt': [32, 1874], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 2]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[-2, 2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[1, 2], [1, 6]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[-2, 4]], [[-1, 0], [1, 4]], [[-2, 4]], [[-1, 0], [1, 4]], [[2, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[2, 4]], [[-1, 0], [-1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-1, 1], [-1, 3]], [[-1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 5], [1, 7]], [[-1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[-1, 1], [-1, 7]], [[-1, 1], [1, 3]], [[-1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 3]], [[-1, 1], [-1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, 5]], [[1, 3], [1, 5]], [[1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 3], [-1, 5]], [[1, 1], [-1, 3]], [[1, 1], [-1, 3]], [[-1, 3], [-1, 5]], [[-1, 5], [-1, 7]], [[1, 3], [1, -3]], [[1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [1, 3]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[0, 0]], [[2, 2]], [[-2, 6]], [[-1, 2], [-1, 6]], [[2, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[2, 6]], [[2, 2]], [[-2, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[-1, 1], [-1, -1]], [[1, 5], [-1, 7]], [[-1, 1], [1, 3]], [[-1, 3], [-1, 5]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 3]], [[1, 1], [-1, 3]], [[-1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[1, 3], [1, 5]], [[1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[-1, 1], [1, 3]], [[-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 3], [-1, 5]], [[-1, 1], [1, 3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 5], [1, 7]], [[1, 1], [-1, 3]], [[-1, 3], [-1, 5]], [[-1, 1], [1, 3]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, -1]], [[1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 3], [1, 5]], [[-1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 3], [1, 5]], [[1, 1], [1, -1]], [[-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 3]], [[-1, 5], [-1, 7]]]}
  • id: 5209098
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  • id: 5209099
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 131, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '128.105', 'image_order': 128, 'indicator': 0, 'kernel': '128.a1.a1', 'kernel_order': 6, 'label': '768.56452.2aj3', 'nt': [32, 1874], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[-2, 6]], [[2, 2]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[-2, 2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[1, 2], [1, 6]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[-2, 4]], [[-1, 0], [1, 4]], [[-2, 4]], [[-1, 0], [1, 4]], [[2, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[2, 4]], [[-1, 0], [-1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 1], [1, 3]], [[1, 5], [1, 7]], [[1, 3], [1, -3]], [[-1, 5], [-1, 7]], [[1, 1], [1, 3]], [[1, 1], [-1, 3]], [[1, 1], [1, 7]], [[1, 1], [-1, 3]], [[1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 3]], [[1, 1], [1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, 5]], [[-1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 3], [1, 5]], [[-1, 1], [1, 3]], [[-1, 1], [1, 3]], [[1, 3], [1, 5]], [[1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, 7]], [[1, 3], [1, -3]], [[-1, 1], [-1, 3]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[0, 0]], [[0, 0]], [[-2, 2]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[0, 0]], [[2, 2]], [[-2, 6]], [[-1, 2], [-1, 6]], [[2, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, -2]], [[0, 0]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[2, 6]], [[2, 2]], [[-2, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[1, 1], [1, -1]], [[-1, 5], [1, 7]], [[1, 1], [-1, 3]], [[1, 3], [1, 5]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 7]], [[1, 1], [1, 3]], [[-1, 1], [1, 3]], [[1, 5], [-1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [1, 7]], [[-1, 5], [1, 7]], [[1, 1], [-1, 3]], [[1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 3], [1, 5]], [[1, 1], [-1, 3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[1, 5], [-1, 7]], [[-1, 1], [1, 3]], [[1, 3], [1, 5]], [[1, 1], [-1, 3]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 5]], [[1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, -1]], [[1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 3]], [[1, 5], [1, 7]]]}
  • id: 5209100
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  • id: 5209101
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 133, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '128.105', 'image_order': 128, 'indicator': 0, 'kernel': '128.a1.a1', 'kernel_order': 6, 'label': '768.56452.2aj5', 'nt': [32, 1874], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[2, 6]], [[-2, 2]], [[2, 2]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[-1, 2], [-1, 6]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[-2, 4]], [[-1, 0], [1, 4]], [[-2, 4]], [[-1, 0], [1, 4]], [[2, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[2, 4]], [[-1, 0], [-1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-1, 5], [1, 7]], [[1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 3]], [[-1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[-1, 3], [-1, 5]], [[-1, 5], [-1, 7]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 3], [1, 5]], [[1, 3], [1, 5]], [[1, 5], [-1, 7]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 7]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[1, 5], [-1, 7]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[2, 2]], [[1, 2], [1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[0, 0]], [[-2, 2]], [[2, 6]], [[1, 2], [1, 6]], [[-2, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[1, 2], [1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[1, 3], [1, -3]], [[-1, 1], [-1, 3]], [[-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[-1, 3], [-1, 5]], [[-1, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, 3]], [[1, 3], [1, -3]], [[-1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [1, 3]], [[-1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [-1, 3]], [[1, 1], [1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, 5]], [[1, 1], [1, 3]], [[1, 5], [1, 7]], [[1, 1], [1, 7]], [[-1, 5], [-1, 7]], [[1, 3], [1, 5]], [[1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 7]], [[1, 1], [1, 3]], [[1, 1], [-1, 3]], [[1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 3]], [[-1, 1], [1, 3]], [[1, 3], [1, -3]], [[-1, 5], [1, 7]], [[1, 3], [1, 5]], [[1, 3], [1, 5]], [[-1, 5], [1, 7]], [[1, 1], [-1, 3]]]}
  • id: 5209102
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 134, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '128.105', 'image_order': 128, 'indicator': 0, 'kernel': '128.a1.a1', 'kernel_order': 6, 'label': '768.56452.2aj6', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[2, 6]], [[2, 2]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[-2, 6]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[1, 2], [1, 6]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[-1, 0], [-1, 4]], [[2, 4]], [[-1, 0], [-1, 4]], [[2, 4]], [[-1, 0], [-1, 4]], [[-2, 4]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[-2, 4]], [[-1, 0], [1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[-1, 1], [1, 3]], [[1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 5], [1, 7]], [[-1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 3], [1, 5]], [[1, 1], [1, 3]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, 5]], [[1, 1], [-1, 3]], [[1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 7]], [[1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3]], [[1, 1], [1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-1, 2], [-1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[0, 0]], [[2, 6]], [[-2, 2]], [[-1, 2], [-1, 6]], [[2, 2]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[-1, 2], [-1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[2, 2]], [[2, 6]], [[-2, 2]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[1, 3], [1, -3]], [[1, 5], [1, 7]], [[1, 1], [1, 3]], [[-1, 1], [-1, 7]], [[1, 1], [-1, 3]], [[1, 1], [-1, 3]], [[1, 3], [1, 5]], [[-1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 5], [-1, 7]], [[1, 3], [1, -3]], [[-1, 1], [1, 3]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, 3]], [[-1, 1], [-1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 5], [1, 7]], [[-1, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, 5]], [[1, 3], [1, 5]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 7]], [[1, 1], [1, 3]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 3]], [[-1, 3], [-1, -3]], [[1, 1], [1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[1, 1], [-1, 3]], [[1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 3], [-1, -3]], [[1, 1], [1, 7]], [[-1, 3], [-1, -3]], [[1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [1, 7]], [[-1, 5], [1, 7]], [[1, 3], [1, -3]], [[-1, 1], [1, 3]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, 5]], [[-1, 1], [1, 3]], [[1, 5], [-1, 7]]]}
  • id: 5209103
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 135, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '128.105', 'image_order': 128, 'indicator': 0, 'kernel': '128.a1.a1', 'kernel_order': 6, 'label': '768.56452.2aj7', 'nt': [32, 1874], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 4]], [[2, 4]], [[2, 4]], [[-2, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[2, 6]], [[-2, 2]], [[-2, 6]], [[2, 2]], [[2, 6]], [[-2, 2]], [[2, 2]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[-1, 2], [-1, 6]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[-2, 4]], [[-1, 0], [1, 4]], [[-2, 4]], [[-1, 0], [1, 4]], [[2, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[-1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[2, 4]], [[-1, 0], [-1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 5], [-1, 7]], [[-1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [-1, 3]], [[1, 5], [-1, 7]], [[1, 5], [1, 7]], [[1, 3], [1, 5]], [[1, 5], [1, 7]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, 5]], [[-1, 5], [1, 7]], [[1, 3], [1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3]], [[1, 1], [1, -1]], [[-1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[2, 2]], [[1, 2], [1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[0, 0]], [[-2, 2]], [[2, 6]], [[1, 2], [1, 6]], [[-2, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[-1, 2], [-1, 6]], [[0, 0]], [[1, 2], [1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, 6]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[-1, 3], [-1, -3]], [[1, 1], [1, 3]], [[1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 5], [1, 7]], [[1, 3], [1, 5]], [[1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 3]], [[-1, 3], [-1, -3]], [[1, 5], [-1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3]], [[1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [1, 3]], [[-1, 1], [-1, 7]], [[1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[1, 3], [1, 5]], [[1, 3], [1, 5]], [[-1, 1], [-1, 3]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 5], [1, 7]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[-1, 5], [-1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, 7]], [[-1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[-1, 5], [1, 7]], [[-1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 3], [1, -3]], [[1, 1], [1, 7]], [[1, 3], [1, -3]], [[-1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [-1, 3]], [[1, 1], [-1, 3]], [[-1, 3], [-1, -3]], [[1, 5], [-1, 7]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, 5]], [[1, 5], [-1, 7]], [[-1, 1], [1, 3]]]}
  • id: 5209104
    {'center': '16.b1.a1', 'center_index': 16, 'center_order': 48, 'counter': 136, 'cyclotomic_n': 16, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '128.105', 'image_order': 128, 'indicator': 0, 'kernel': '128.a1.a1', 'kernel_order': 6, 'label': '768.56452.2aj8', 'nt': [32, 8], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 4]], [[-2, 4]], [[-2, 4]], [[2, 4]], [[1, 0], [1, 4]], [[1, 0], [-1, 4]], [[0, 0]], [[1, 0], [1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[2, 6]], [[2, 2]], [[-2, 6]], [[-2, 2]], [[2, 6]], [[-2, 6]], [[0, 0]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[1, 2], [1, 6]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[-1, 0], [-1, 4]], [[2, 4]], [[-1, 0], [-1, 4]], [[2, 4]], [[-1, 0], [-1, 4]], [[-2, 4]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[-1, 0], [-1, 4]], [[-1, 0], [1, 4]], [[1, 0], [-1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[-2, 4]], [[-1, 0], [1, 4]], [[1, 0], [1, 4]], [[0, 0]], [[1, 1], [-1, 3]], [[-1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 5], [-1, 7]], [[1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 3], [-1, 5]], [[-1, 1], [-1, 3]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 3], [1, 5]], [[1, 3], [1, 5]], [[-1, 1], [1, 3]], [[-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, 7]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[0, 0]], [[0, 0]], [[-2, 6]], [[-1, 2], [-1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[0, 0]], [[2, 6]], [[-2, 2]], [[-1, 2], [-1, 6]], [[2, 2]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[1, 2], [1, 6]], [[0, 0]], [[-1, 2], [-1, 6]], [[1, 2], [1, -2]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 6]], [[2, 2]], [[2, 6]], [[-2, 2]], [[1, 2], [1, -2]], [[1, 2], [1, 6]], [[-1, 3], [-1, -3]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 3]], [[1, 1], [1, 7]], [[-1, 1], [1, 3]], [[-1, 1], [1, 3]], [[-1, 3], [-1, 5]], [[1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 5], [1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3]], [[-1, 1], [-1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 3]], [[1, 1], [1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 5]], [[-1, 3], [-1, 5]], [[1, 5], [1, 7]], [[1, 1], [1, 3]], [[1, 1], [1, 7]], [[-1, 1], [-1, 3]], [[1, 3], [1, 5]], [[1, 3], [1, 5]], [[1, 3], [1, -3]], [[1, 1], [1, 3]], [[1, 3], [1, -3]], [[-1, 1], [-1, 7]], [[1, 5], [1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [1, 3]], [[-1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 3], [1, -3]], [[-1, 1], [-1, 7]], [[1, 3], [1, -3]], [[-1, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3]], [[1, 3], [1, 5]], [[1, 3], [1, 5]], [[1, 1], [-1, 3]], [[-1, 5], [1, 7]]]}
  • id: 5209105
    {'center': '24.b1.a1', 'center_index': 24, 'center_order': 32, 'counter': 137, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '96.26', 'image_order': 96, 'indicator': 0, 'kernel': '96.f1.a1', 'kernel_order': 8, 'label': '768.56452.2ak1', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[0, 0]], [[2, 6]], [[2, 6]], [[0, 0]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[-1, 0]], [[1, 0], [-2, 4]], [[1, 0]], [[1, 0], [-2, 4]], [[-1, 0]], [[-1, 0], [2, 4]], [[1, 0]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[1, 0]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[-1, 0]], [[-1, 0]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[1, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 2], [-1, -2]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [-1, 3], [1, 7]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [-1, 3], [1, 7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3], [1, 7]], [[1, 1], [1, -1]], [[-1, 1], [1, 3], [-1, 7]], [[1, 1], [-1, 3], [1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[1, 1], [-1, 3], [1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[1, 1], [-1, 3], [1, 7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 5], [-1, -5]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 5], [1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 1], [-1, 3], [1, 7]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, -5]], [[1, 1], [-1, 3], [1, 7]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]]]}
  • id: 5209106
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  • id: 5209107
    {'center': '24.b1.a1', 'center_index': 24, 'center_order': 32, 'counter': 139, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '96.26', 'image_order': 96, 'indicator': 0, 'kernel': '96.f1.a1', 'kernel_order': 8, 'label': '768.56452.2ak3', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[0, 0]], [[2, 6]], [[2, 6]], [[0, 0]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[-1, 0]], [[1, 0], [-2, 4]], [[1, 0]], [[1, 0], [-2, 4]], [[-1, 0]], [[-1, 0], [2, 4]], [[1, 0]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[1, 0]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[-1, 0]], [[-1, 0]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[1, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 2], [-1, -2]], [[1, 6]], [[1, 6]], [[1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6]], [[1, 6]], [[-1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [-1, 3], [1, 7]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 3], [-1, 7]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3], [1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[1, 1], [-1, 3], [1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, 7]], [[1, 1], [-1, 3], [1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [-1, 3], [1, 7]], [[1, 5], [1, -5]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [-1, 3], [1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, 7]], [[1, 1], [1, -1]], [[-1, 5], [-1, 7]], [[1, 1], [-1, 3], [1, 7]], [[1, 5], [1, 7]], [[1, 5], [1, -5]], [[1, 1], [-1, 3], [1, 7]], [[1, 5], [1, 7]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, 7]], [[1, 5], [1, -5]], [[-1, 1], [1, 3], [-1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]]]}
  • id: 5209109
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  • id: 5209110
    {'center': '24.b1.a1', 'center_index': 24, 'center_order': 32, 'counter': 141, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '96.26', 'image_order': 96, 'indicator': 0, 'kernel': '96.f1.a1', 'kernel_order': 8, 'label': '768.56452.2ak5', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[0, 0]], [[2, 6]], [[2, 6]], [[0, 0]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0]], [[-1, 0], [2, 4]], [[1, 0]], [[-1, 0], [2, 4]], [[-1, 0]], [[1, 0], [-2, 4]], [[1, 0]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[1, 0]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 2], [1, -2]], [[1, 6]], [[1, 6]], [[1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 5], [1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, 7]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, -5]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 3], [-1, 7]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, 7]], [[1, 1], [1, -1]], [[-1, 1], [1, 3], [-1, 7]], [[1, 1], [-1, 3], [1, 7]], [[1, 1], [-1, 3], [1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[1, 5], [1, 7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [-1, 3], [1, 7]], [[1, 5], [1, -5]], [[-1, 1], [1, 3], [-1, 7]], [[1, 5], [1, 7]], [[1, 1], [-1, 3], [1, 7]], [[1, 1], [1, -1]], [[1, 5], [1, 7]], [[1, 1], [-1, 3], [1, 7]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 1], [-1, 3], [1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [-1, 3], [1, 7]], [[1, 1], [1, -1]], [[-1, 5], [-1, 7]], [[1, 1], [-1, 3], [1, 7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]]]}
  • id: 5209111
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  • id: 5209112
    {'center': '24.b1.a1', 'center_index': 24, 'center_order': 32, 'counter': 143, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '96.26', 'image_order': 96, 'indicator': 0, 'kernel': '96.f1.a1', 'kernel_order': 8, 'label': '768.56452.2ak7', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6]], [[0, 0]], [[2, 6]], [[2, 6]], [[0, 0]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0]], [[-1, 0], [2, 4]], [[1, 0]], [[-1, 0], [2, 4]], [[-1, 0]], [[1, 0], [-2, 4]], [[1, 0]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0]], [[1, 0], [-2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0]], [[-1, 0]], [[-1, 0], [2, 4]], [[-1, 0], [2, 4]], [[1, 0]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 2], [1, -2]], [[1, 6]], [[1, 6]], [[1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 6]], [[-1, 6]], [[1, 6]], [[-1, 2], [-1, -2]], [[-1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6]], [[1, 6]], [[-1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, 7]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, 7]], [[1, 5], [1, -5]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[1, 1], [-1, 3], [1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3], [1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[1, 1], [-1, 3], [1, 7]], [[1, 1], [-1, 3], [1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 5], [-1, -5]], [[1, 1], [-1, 3], [1, 7]], [[-1, 5], [-1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[1, 1], [-1, 3], [1, 7]], [[1, 1], [-1, 3], [1, 7]], [[1, 5], [1, 7]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 3], [-1, 7]], [[1, 1], [-1, 3], [1, 7]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 5], [1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]]]}
  • id: 5209113
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  • id: 5209114
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  • id: 5209115
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  • id: 5209116
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  • id: 5209117
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  • id: 5209118
    {'center': '24.b1.a1', 'center_index': 24, 'center_order': 32, 'counter': 149, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '96.26', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1.a1', 'kernel_order': 8, 'label': '768.56452.2al5', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[0, 0]], [[2, 6]], [[-2, 6]], [[0, 0]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[1, 0]], [[1, 0], [-2, 4]], [[1, 0]], [[-1, 0], [2, 4]], [[1, 0]], [[-1, 0], [2, 4]], [[1, 0]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[1, 0]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[-1, 1], [1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6]], [[1, 2], [1, -2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 2], [1, -2]], [[1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 5], [-1, -5]], [[1, 1], [-1, 3], [1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[1, 5], [1, -5]], [[1, 5], [1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 3], [-1, 7]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, -5]], [[1, 5], [1, 7]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [-1, 3], [1, 7]], [[1, 1], [-1, 3], [1, 7]], [[1, 1], [-1, 3], [1, 7]], [[1, 1], [-1, 3], [1, 7]], [[1, 5], [1, -5]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[1, 5], [1, 7]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 5], [-1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3], [1, 7]], [[-1, 5], [-1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[1, 5], [1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, 7]], [[1, 1], [-1, 3], [1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 5], [-1, -5]], [[1, 1], [1, -1]], [[1, 5], [1, 7]], [[1, 1], [-1, 3], [1, 7]]]}
  • id: 5209120
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  • id: 5209121
    {'center': '24.b1.a1', 'center_index': 24, 'center_order': 32, 'counter': 151, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '96.26', 'image_order': 96, 'indicator': 0, 'kernel': '96.a1.a1', 'kernel_order': 8, 'label': '768.56452.2al7', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[-2, 6]], [[2, 6]], [[2, 6]], [[-2, 6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6]], [[0, 0]], [[2, 6]], [[-2, 6]], [[0, 0]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[1, 0]], [[1, 0], [-2, 4]], [[1, 0]], [[-1, 0], [2, 4]], [[1, 0]], [[-1, 0], [2, 4]], [[1, 0]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[1, 0]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 4]], [[-1, 0], [2, 4]], [[1, 0]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 1], [1, 3], [1, 5]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [1, 3], [1, 5]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[-1, 1], [1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[1, 1], [-1, 3], [-1, 5]], [[-1, 3], [-1, -3]], [[-1, 1], [1, 3], [1, 5]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6]], [[1, 2], [1, -2]], [[1, 6]], [[-1, 6]], [[-1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 2], [1, -2]], [[1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 6]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 6]], [[-1, 6]], [[1, 6]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 5], [1, -5]], [[-1, 1], [1, 3], [-1, 7]], [[1, 1], [-1, 3], [1, 7]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, 7]], [[1, 1], [-1, 3], [1, 7]], [[1, 5], [1, -5]], [[1, 1], [-1, 3], [1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[1, 5], [1, -5]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[-1, 5], [-1, -5]], [[1, 1], [-1, 3], [1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3], [1, 7]], [[1, 5], [1, -5]], [[1, 1], [1, -1]], [[-1, 1], [1, 3], [-1, 7]], [[1, 5], [1, 7]], [[1, 1], [-1, 3], [1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [-1, 3], [1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, -5]], [[1, 5], [1, 7]], [[-1, 1], [1, 3], [-1, 7]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3], [1, 7]], [[1, 5], [1, -5]], [[-1, 1], [-1, -1]], [[-1, 5], [-1, 7]], [[-1, 1], [1, 3], [-1, 7]]]}
  • id: 5209122
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  • id: 5209123
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 153, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.b1', 'kernel_order': 2, 'label': '768.56452.2am1', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[2, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[0, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[2, 18]], [[2, 18]], [[-2, 6]], [[-2, 18]], [[2, 6]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 4], [-1, 8]], [[1, 12]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[-1, 12]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 12]], [[1, 4], [1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[-1, 4], [-1, -4]], [[1, 12]], [[-1, 4], [-1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 4], [1, -4]], [[-1, 3], [1, 9]], [[1, 5], [-1, 13], [1, 15]], [[-1, 9], [-1, 15]], [[1, 5], [-1, 13], [1, 15]], [[1, 3], [-1, 9]], [[1, 3], [1, 9]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, 9]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 5], [1, 13], [1, 15]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [-1, 9]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [-1, 5], [1, 13]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 5], [1, 13], [1, 15]], [[-1, 9], [-1, -9]], [[1, 3], [1, 9]], [[-1, 3], [-1, 9]], [[1, 9], [1, -9]], [[-1, 5], [1, 13], [-1, 15]], [[1, 9], [1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[1, 9], [1, 15]], [[-1, 3], [1, 9]], [[-1, 9], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [-2, 14]], [[1, 6]], [[1, 6], [-2, 14]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, 10]], [[1, 10], [1, -10]], [[1, 2], [1, 10]], [[-1, 6], [2, 14]], [[-1, 6]], [[1, 2], [-1, 6], [1, 14]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [1, 10]], [[-1, 6]], [[1, 18]], [[-1, 10], [-1, 14]], [[1, 18]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[-1, 2], [-1, 10]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [1, -2]], [[-1, 6], [2, 14]], [[-1, 2], [-1, -2]], [[1, 10], [1, 14]], [[-1, 18]], [[1, 6]], [[-1, 18]], [[1, 10], [1, -10]], [[1, 10], [1, 14]], [[1, 11], [1, 13]], [[-1, 5], [1, 7]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[-1, 1], [-1, 11]], [[-1, 7], [1, 13], [1, 15]], [[-1, 11], [-1, 13]], [[-1, 1], [1, 11]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 7], [1, 13], [1, 15]], [[1, 7], [-1, 13], [-1, 15]], [[1, 1], [1, 11]], [[-1, 7], [-1, -7]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [-1, 7], [1, 15]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, -1]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [1, 7], [1, 9]], [[-1, 5], [-1, -5]], [[1, 3], [-1, 5], [-1, 11]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 7], [-1, 13], [-1, 15]], [[1, 1], [1, 11]], [[1, 7], [1, -7]], [[-1, 1], [-1, 11]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[1, 3], [-1, 5], [-1, 11]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 11], [-1, 13]], [[-1, 7], [-1, -7]], [[-1, 5], [1, 7]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 3], [1, 5], [1, 11]], [[1, 7], [1, -7]], [[1, 11], [1, 13]], [[1, 7], [1, 13], [-1, 15]], [[1, 5], [-1, 7]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [1, 7], [1, 9]], [[-1, 7], [-1, 13], [1, 15]], [[1, 7], [1, 13], [-1, 15]], [[-1, 3], [1, 5], [1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 1], [-1, 11]], [[-1, 5], [-1, 7]]]}
  • id: 5209133
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  • id: 5209134
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  • id: 5209135
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  • id: 5209136
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  • id: 5209137
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  • id: 5209138
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 167, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.b1', 'kernel_order': 2, 'label': '768.56452.2am15', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[2, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[-2, 18]], [[-2, 18]], [[2, 6]], [[2, 18]], [[-2, 6]], [[2, 18]], [[-2, 6]], [[2, 6]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [1, 10]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 4], [1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [-1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [-1, -4]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 12]], [[-1, 4], [1, 8]], [[-1, 12]], [[1, 4], [-1, 8]], [[-1, 12]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, -4]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[-1, 4], [-1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [1, 8]], [[1, 4], [1, -4]], [[1, 12]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 3], [-1, 9]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [-1, 9]], [[-1, 5], [1, 13], [1, 15]], [[1, 5], [-1, 13], [1, 15]], [[1, 9], [1, -9]], [[-1, 5], [1, 13], [-1, 15]], [[1, 3], [-1, 9]], [[-1, 3], [1, 9]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 5], [1, 13], [1, 15]], [[-1, 9], [-1, -9]], [[1, 9], [1, 15]], [[-1, 9], [-1, 15]], [[-1, 9], [-1, 15]], [[1, 9], [1, 15]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 9]], [[-1, 3], [1, 9]], [[-1, 3], [-1, -3]], [[1, 5], [-1, 13], [1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[1, 3], [1, -3]], [[1, 3], [1, 9]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [1, 9]], [[-1, 3], [1, 5], [-1, 13]], [[1, 5], [-1, 13], [-1, 15]], [[1, 3], [-1, 5], [1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [-2, 14]], [[-1, 6]], [[1, 6], [-2, 14]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 10]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-1, 6], [2, 14]], [[1, 6]], [[1, 10], [1, 14]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, 14]], [[1, 2], [1, 10]], [[1, 6]], [[-1, 18]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 18]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[1, 10], [1, 14]], [[-1, 2], [-1, 10]], [[-1, 10], [-1, 14]], [[1, 10], [1, -10]], [[-1, 6], [2, 14]], [[-1, 10], [-1, -10]], [[1, 2], [-1, 6], [1, 14]], [[1, 18]], [[-1, 6]], [[1, 18]], [[1, 2], [1, -2]], [[1, 2], [-1, 6], [1, 14]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 11]], [[1, 7], [1, 13], [-1, 15]], [[-1, 5], [-1, -5]], [[-1, 5], [1, 7]], [[-1, 7], [1, 13], [1, 15]], [[-1, 7], [-1, -7]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 5], [1, 7]], [[-1, 5], [-1, -5]], [[1, 5], [1, -5]], [[-1, 3], [1, 5], [1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 5], [1, 7]], [[1, 11], [1, -11]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 3], [1, 5], [1, 11]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[1, 5], [1, -5]], [[-1, 7], [-1, 13], [1, 15]], [[1, 11], [1, 13]], [[-1, 11], [-1, 13]], [[1, 1], [1, -1]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 5], [1, 7]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 1], [-1, 7], [1, 15]], [[1, 7], [1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9]], [[1, 11], [1, -11]], [[1, 1], [-1, 11]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[1, 7], [-1, 13], [-1, 15]], [[1, 5], [-1, 7]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 11], [-1, -11]], [[-1, 1], [1, 7], [1, 9]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 1], [1, 11]], [[1, 11], [1, 13]], [[-1, 11], [-1, 13]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 7], [1, 13], [1, 15]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 5], [-1, 7]], [[1, 1], [1, 11]]]}
  • id: 5209139
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  • id: 5209124
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 154, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.b1', 'kernel_order': 2, 'label': '768.56452.2am2', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[-2, 6]], [[-2, 6]], [[2, 18]], [[2, 6]], [[-2, 18]], [[2, 6]], [[-2, 18]], [[2, 18]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 4], [1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 4], [-1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [1, -4]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 12]], [[1, 4], [1, 8]], [[1, 12]], [[-1, 4], [-1, 8]], [[1, 12]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[-1, 4], [1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [-1, -4]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[1, 4], [-1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[-1, 12]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[1, 4], [1, -4]], [[-1, 5], [1, 13], [-1, 15]], [[1, 3], [-1, 9]], [[1, 9], [1, 15]], [[1, 3], [-1, 9]], [[1, 5], [-1, 13], [1, 15]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 3], [-1, -3]], [[-1, 5], [1, 13], [1, 15]], [[1, 3], [1, 9]], [[-1, 3], [-1, 9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 5], [-1, 13], [1, 15]], [[1, 3], [1, -3]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [-1, 5], [1, 13]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, 9]], [[-1, 3], [-1, 9]], [[-1, 9], [-1, -9]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 5], [1, 13], [1, 15]], [[1, 9], [1, -9]], [[-1, 3], [1, 9]], [[-1, 9], [-1, 15]], [[-1, 3], [1, 9]], [[-1, 9], [-1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[1, 9], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 10]], [[-1, 18]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 6], [2, 14]], [[1, 10], [1, -10]], [[1, 6], [-2, 14]], [[-1, 2], [-1, 10]], [[1, 18]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 6], [1, 14]], [[1, 6], [-2, 14]], [[1, 18]], [[-1, 6]], [[1, 10], [1, 14]], [[-1, 6]], [[-1, 10], [-1, -10]], [[1, 10], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 6], [2, 14]], [[1, 2], [-1, 6], [1, 14]], [[1, 2], [1, -2]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, 14]], [[1, 6]], [[-1, 18]], [[1, 6]], [[1, 10], [1, -10]], [[-1, 10], [-1, 14]], [[-1, 11], [-1, 13]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, 13], [1, 15]], [[1, 5], [1, 7]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, 7]], [[-1, 7], [1, 13], [1, 15]], [[-1, 1], [-1, 11]], [[1, 11], [1, 13]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 7], [-1, -7]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 1], [1, -1]], [[1, 5], [-1, 7]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 5], [-1, -5]], [[-1, 3], [1, 5], [1, 11]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 1], [1, 11]], [[1, 7], [-1, 13], [-1, 15]], [[1, 7], [1, -7]], [[-1, 7], [1, 13], [1, 15]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 3], [1, 5], [1, 11]], [[-1, 5], [1, 7]], [[1, 11], [1, 13]], [[-1, 7], [-1, -7]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [1, 11]], [[-1, 5], [-1, 7]], [[1, 7], [1, 13], [-1, 15]], [[1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 11]], [[1, 7], [1, -7]], [[-1, 11], [-1, 13]], [[1, 1], [-1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [1, 11]], [[1, 1], [-1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[1, 5], [1, 7]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[1, 7], [1, 13], [-1, 15]], [[-1, 1], [-1, 3], [1, 9], [1, 11]]]}
  • id: 5209125
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  • id: 5209126
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  • id: 5209127
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  • id: 5209128
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 158, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.b1', 'kernel_order': 2, 'label': '768.56452.2am6', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[2, 6]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[2, 18]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 4], [1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 4], [-1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [1, -4]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 12]], [[1, 4], [1, 8]], [[1, 12]], [[-1, 4], [-1, 8]], [[1, 12]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[-1, 4], [1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [-1, -4]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[1, 4], [-1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[-1, 12]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[1, 4], [1, -4]], [[-1, 3], [-1, 9]], [[1, 5], [-1, 13], [-1, 15]], [[1, 3], [-1, 5], [1, 13]], [[1, 5], [-1, 13], [-1, 15]], [[1, 3], [1, 9]], [[-1, 3], [1, 9]], [[-1, 9], [-1, -9]], [[1, 3], [-1, 9]], [[-1, 5], [1, 13], [-1, 15]], [[1, 5], [-1, 13], [1, 15]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 3], [1, 9]], [[1, 9], [1, -9]], [[1, 9], [1, 15]], [[-1, 9], [-1, 15]], [[-1, 9], [-1, 15]], [[1, 9], [1, 15]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [1, 13], [-1, 15]], [[1, 5], [-1, 13], [1, 15]], [[1, 3], [1, -3]], [[-1, 3], [1, 9]], [[1, 3], [-1, 9]], [[-1, 3], [-1, -3]], [[-1, 5], [1, 13], [1, 15]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 5], [1, 13], [1, 15]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 3], [-1, 9]], [[1, 3], [-1, 5], [1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[1, 18]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 6], [-2, 14]], [[-1, 10], [-1, -10]], [[-1, 6], [2, 14]], [[1, 2], [1, 10]], [[-1, 18]], [[1, 2], [-1, 6], [1, 14]], [[1, 2], [1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 6], [2, 14]], [[-1, 18]], [[1, 6]], [[-1, 10], [-1, 14]], [[1, 6]], [[1, 10], [1, -10]], [[-1, 10], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[1, 6], [-2, 14]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 2], [-1, -2]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[1, 10], [1, 14]], [[-1, 6]], [[1, 18]], [[-1, 6]], [[-1, 10], [-1, -10]], [[1, 10], [1, 14]], [[1, 1], [-1, 7], [1, 15]], [[1, 5], [1, 7]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 11], [1, -11]], [[1, 1], [1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [1, 11]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [1, 11]], [[1, 11], [1, -11]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, 13]], [[1, 11], [1, 13]], [[-1, 7], [-1, 13], [1, 15]], [[1, 7], [1, 13], [-1, 15]], [[1, 1], [-1, 11]], [[-1, 5], [-1, -5]], [[1, 11], [1, 13]], [[-1, 11], [-1, 13]], [[1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 3], [1, 5], [1, 11]], [[1, 7], [1, -7]], [[-1, 1], [1, 7], [1, 9]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 7], [1, 13], [-1, 15]], [[1, 1], [-1, 11]], [[1, 5], [1, -5]], [[-1, 1], [1, 11]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 5], [-1, -5]], [[1, 5], [1, 7]], [[1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [-1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [-1, 7], [-1, 9]], [[1, 5], [1, -5]], [[1, 1], [-1, 7], [1, 15]], [[-1, 7], [1, 13], [1, 15]], [[-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 3], [1, 5], [1, 11]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, 11]], [[-1, 5], [1, 7]]]}
  • id: 5209129
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  • id: 5209131
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 160, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.b1', 'kernel_order': 2, 'label': '768.56452.2am8', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[2, 6]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[2, 18]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 4], [1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 4], [-1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [1, -4]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 12]], [[1, 4], [1, 8]], [[1, 12]], [[-1, 4], [-1, 8]], [[1, 12]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[-1, 4], [1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [-1, -4]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[1, 4], [-1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[-1, 12]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 3], [1, 9]], [[-1, 5], [1, 13], [1, 15]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 5], [1, 13], [1, 15]], [[-1, 3], [-1, 9]], [[1, 3], [-1, 9]], [[1, 9], [1, -9]], [[-1, 3], [1, 9]], [[1, 5], [-1, 13], [1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, 9]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, 15]], [[1, 9], [1, 15]], [[1, 9], [1, 15]], [[-1, 9], [-1, 15]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 5], [-1, 13], [1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 9]], [[-1, 3], [1, 9]], [[1, 3], [1, -3]], [[1, 5], [-1, 13], [-1, 15]], [[1, 3], [-1, 5], [1, 13]], [[1, 5], [-1, 13], [-1, 15]], [[1, 3], [-1, 5], [1, 13]], [[1, 3], [1, 9]], [[-1, 3], [1, 5], [-1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[1, 18]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[1, 6], [-2, 14]], [[-1, 10], [-1, -10]], [[-1, 6], [2, 14]], [[1, 2], [1, 10]], [[-1, 18]], [[1, 2], [-1, 6], [1, 14]], [[1, 2], [1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 6], [2, 14]], [[-1, 18]], [[1, 6]], [[-1, 10], [-1, 14]], [[1, 6]], [[1, 10], [1, -10]], [[-1, 10], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[1, 6], [-2, 14]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 2], [-1, -2]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[1, 10], [1, 14]], [[-1, 6]], [[1, 18]], [[-1, 6]], [[-1, 10], [-1, -10]], [[1, 10], [1, 14]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[1, 1], [1, -1]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 1], [-1, 11]], [[1, 7], [1, 13], [-1, 15]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [-1, 11]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 11], [1, 13]], [[-1, 11], [-1, 13]], [[1, 7], [1, 13], [-1, 15]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 1], [1, 11]], [[1, 5], [1, -5]], [[-1, 11], [-1, 13]], [[1, 11], [1, 13]], [[-1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 5], [1, 7]], [[1, 11], [1, -11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 3], [1, 5], [1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 7], [-1, -7]], [[1, 1], [-1, 7], [-1, 9]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 1], [1, 11]], [[-1, 5], [-1, -5]], [[1, 1], [-1, 11]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [-1, 7], [1, 15]], [[1, 5], [1, -5]], [[-1, 5], [-1, 7]], [[-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 1], [1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 1], [1, 7], [1, 9]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 7], [-1, 15]], [[1, 7], [-1, 13], [-1, 15]], [[1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 7], [1, 13], [1, 15]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[1, 1], [1, 11]], [[1, 5], [-1, 7]]]}
  • id: 5209132
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  • id: 5209140
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 169, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.b1', 'kernel_order': 2, 'label': '768.56452.2an1', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[2, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[2, 18]], [[2, 18]], [[-2, 6]], [[-2, 18]], [[2, 6]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [1, 10]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [1, 8]], [[1, 4], [1, -4]], [[-1, 4], [1, 8]], [[1, 12]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 12]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[-1, 12]], [[-1, 4], [-1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [-1, -4]], [[1, 12]], [[1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, -4]], [[-1, 5], [1, 13], [1, 15]], [[1, 3], [1, 9]], [[1, 3], [-1, 5], [1, 13]], [[1, 3], [1, 9]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[1, 9], [1, -9]], [[1, 5], [-1, 13], [1, 15]], [[-1, 3], [1, 9]], [[1, 3], [-1, 9]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 9], [-1, -9]], [[1, 9], [1, 15]], [[-1, 9], [-1, 15]], [[-1, 9], [-1, 15]], [[1, 9], [1, 15]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 9]], [[1, 3], [-1, 9]], [[-1, 3], [-1, -3]], [[-1, 5], [1, 13], [-1, 15]], [[1, 5], [-1, 13], [1, 15]], [[1, 3], [1, -3]], [[-1, 3], [-1, 9]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 3], [-1, 9]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 5], [1, 13], [1, 15]], [[1, 3], [-1, 5], [1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [-2, 14]], [[1, 6]], [[1, 6], [-2, 14]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, 10]], [[-1, 10], [-1, -10]], [[1, 2], [1, 10]], [[-1, 6], [2, 14]], [[-1, 6]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [1, -2]], [[1, 2], [-1, 6], [1, 14]], [[1, 2], [1, 10]], [[-1, 6]], [[1, 18]], [[1, 10], [1, 14]], [[1, 18]], [[1, 10], [1, -10]], [[1, 10], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 6], [1, 14]], [[-1, 2], [-1, -2]], [[-1, 6], [2, 14]], [[1, 2], [1, -2]], [[-1, 10], [-1, 14]], [[-1, 18]], [[1, 6]], [[-1, 18]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, 14]], [[1, 1], [-1, 7], [1, 15]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 5], [1, 7]], [[-1, 11], [-1, -11]], [[1, 7], [-1, 13], [-1, 15]], [[1, 5], [-1, 7]], [[1, 1], [1, -1]], [[-1, 5], [1, 7]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 1], [1, 11]], [[-1, 1], [1, 7], [-1, 15]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[-1, 11], [-1, 13]], [[1, 11], [1, 13]], [[-1, 1], [1, 11]], [[1, 1], [-1, 11]], [[1, 7], [1, 13], [-1, 15]], [[1, 5], [1, -5]], [[1, 11], [1, 13]], [[-1, 11], [-1, 13]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 11], [1, -11]], [[-1, 5], [-1, 7]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 3], [1, 5], [1, 11]], [[-1, 7], [-1, -7]], [[-1, 1], [1, 7], [1, 9]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 11]], [[1, 7], [1, 13], [-1, 15]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[-1, 1], [1, 7], [1, 9]], [[1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 15]], [[1, 5], [1, -5]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 1], [1, 11]], [[-1, 5], [1, 7]], [[-1, 7], [1, 13], [1, 15]], [[-1, 5], [-1, 7]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 5], [-1, -5]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [-1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 3], [1, 5], [1, 11]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 7], [-1, 9]], [[1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 3], [-1, 9], [1, 11]]]}
  • id: 5209150
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  • id: 5209151
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 179, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.b1', 'kernel_order': 2, 'label': '768.56452.2an11', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[2, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[2, 18]], [[2, 18]], [[-2, 6]], [[-2, 18]], [[2, 6]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [1, 10]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 4], [-1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[-1, 4], [-1, -4]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 12]], [[1, 4], [-1, 8]], [[-1, 12]], [[-1, 4], [1, 8]], [[-1, 12]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [-1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 4], [1, -4]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 4], [1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 12]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 3], [-1, 9]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 3], [-1, 9]], [[-1, 5], [1, 13], [1, 15]], [[1, 5], [-1, 13], [1, 15]], [[-1, 9], [-1, -9]], [[-1, 5], [1, 13], [-1, 15]], [[1, 3], [-1, 9]], [[-1, 3], [1, 9]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[-1, 5], [1, 13], [1, 15]], [[1, 9], [1, -9]], [[-1, 9], [-1, 15]], [[1, 9], [1, 15]], [[1, 9], [1, 15]], [[-1, 9], [-1, 15]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [-1, 9]], [[-1, 3], [1, 9]], [[1, 3], [1, -3]], [[1, 5], [-1, 13], [1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 3], [-1, -3]], [[1, 3], [1, 9]], [[1, 3], [-1, 5], [1, 13]], [[1, 3], [1, 9]], [[1, 3], [-1, 5], [1, 13]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 3], [1, 5], [-1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [2, 14]], [[1, 6]], [[-1, 6], [2, 14]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[1, 2], [1, 10]], [[1, 2], [1, -2]], [[-1, 2], [-1, 10]], [[1, 6], [-2, 14]], [[-1, 6]], [[1, 10], [1, 14]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[-1, 6]], [[1, 18]], [[-1, 2], [1, 6], [-1, 14]], [[1, 18]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14]], [[1, 10], [1, -10]], [[1, 6], [-2, 14]], [[-1, 10], [-1, -10]], [[1, 2], [-1, 6], [1, 14]], [[-1, 18]], [[1, 6]], [[-1, 18]], [[1, 2], [1, -2]], [[1, 2], [-1, 6], [1, 14]], [[1, 1], [-1, 7], [-1, 9]], [[1, 1], [-1, 11]], [[1, 7], [1, 13], [-1, 15]], [[1, 5], [1, -5]], [[-1, 5], [1, 7]], [[-1, 7], [1, 13], [1, 15]], [[1, 7], [1, -7]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[-1, 1], [1, 7], [1, 9]], [[-1, 5], [1, 7]], [[1, 5], [1, -5]], [[-1, 5], [-1, -5]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 3], [1, 5], [1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 5], [1, 7]], [[-1, 11], [-1, -11]], [[-1, 3], [1, 5], [1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 1], [-1, 11]], [[1, 1], [1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 11], [-1, 13]], [[1, 11], [1, 13]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [1, -1]], [[-1, 7], [-1, -7]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 5], [1, 7]], [[1, 11], [1, -11]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 1], [1, 7], [-1, 15]], [[1, 7], [1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9]], [[-1, 11], [-1, -11]], [[1, 1], [-1, 11]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[1, 7], [-1, 13], [-1, 15]], [[1, 5], [-1, 7]], [[-1, 7], [-1, 13], [1, 15]], [[1, 1], [-1, 7], [1, 15]], [[1, 11], [1, -11]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 11], [-1, 13]], [[1, 11], [1, 13]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 1], [-1, 7], [1, 15]], [[-1, 7], [1, 13], [1, 15]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 5], [-1, 7]], [[1, 1], [1, 11]]]}
  • id: 5209153
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  • id: 5209154
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 181, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.b1', 'kernel_order': 2, 'label': '768.56452.2an13', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[2, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[-2, 18]], [[-2, 18]], [[2, 6]], [[2, 18]], [[-2, 6]], [[2, 18]], [[-2, 6]], [[2, 6]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[-1, 4], [-1, -4]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 12]], [[1, 4], [-1, 8]], [[-1, 12]], [[-1, 4], [1, 8]], [[-1, 12]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [-1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 4], [1, -4]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 4], [1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 12]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 9]], [[1, 5], [-1, 13], [1, 15]], [[1, 9], [1, 15]], [[1, 5], [-1, 13], [1, 15]], [[1, 3], [-1, 9]], [[1, 3], [1, 9]], [[1, 3], [1, -3]], [[-1, 3], [-1, 9]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 5], [1, 13], [1, 15]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 9]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [-1, 5], [1, 13]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 5], [1, 13], [1, 15]], [[1, 9], [1, -9]], [[1, 3], [1, 9]], [[-1, 3], [-1, 9]], [[-1, 9], [-1, -9]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 9], [-1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 9], [-1, 15]], [[-1, 3], [1, 9]], [[1, 9], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [-2, 14]], [[-1, 6]], [[1, 6], [-2, 14]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 2], [1, 10]], [[-1, 6], [2, 14]], [[1, 6]], [[-1, 10], [-1, 14]], [[1, 10], [1, -10]], [[1, 10], [1, 14]], [[1, 2], [1, 10]], [[1, 6]], [[-1, 18]], [[1, 2], [-1, 6], [1, 14]], [[-1, 18]], [[1, 2], [1, -2]], [[1, 2], [-1, 6], [1, 14]], [[-1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14]], [[-1, 10], [-1, -10]], [[-1, 6], [2, 14]], [[1, 10], [1, -10]], [[-1, 2], [1, 6], [-1, 14]], [[1, 18]], [[-1, 6]], [[1, 18]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 3], [1, 5], [1, 11]], [[-1, 7], [1, 13], [1, 15]], [[-1, 1], [-1, 11]], [[-1, 7], [-1, -7]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 1], [1, 11]], [[1, 5], [1, -5]], [[1, 1], [-1, 11]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 7], [-1, -7]], [[1, 7], [1, -7]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [1, 7], [1, 9]], [[-1, 5], [1, 7]], [[1, 5], [-1, 7]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 7], [-1, 13], [1, 15]], [[1, 7], [1, 13], [-1, 15]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 7], [-1, 13], [1, 15]], [[1, 7], [1, -7]], [[1, 1], [1, 11]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [1, 7], [-1, 15]], [[1, 11], [1, -11]], [[-1, 11], [-1, 13]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[1, 5], [-1, 7]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 1], [1, -1]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[-1, 11], [-1, 13]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 1], [-1, -1]], [[-1, 7], [1, 13], [1, 15]], [[1, 5], [1, 7]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [1, 11]], [[1, 11], [1, 13]], [[1, 1], [1, -1]], [[-1, 3], [1, 5], [1, 11]], [[-1, 5], [-1, 7]], [[1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [1, 7], [-1, 15]], [[1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 11], [1, 13]], [[-1, 1], [1, 11]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 7], [1, 13], [-1, 15]]]}
  • id: 5209155
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  • id: 5209156
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 183, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.b1', 'kernel_order': 2, 'label': '768.56452.2an15', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[2, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[-2, 18]], [[-2, 18]], [[2, 6]], [[2, 18]], [[-2, 6]], [[2, 18]], [[-2, 6]], [[2, 6]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[-1, 4], [-1, -4]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 12]], [[1, 4], [-1, 8]], [[-1, 12]], [[-1, 4], [1, 8]], [[-1, 12]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [-1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 4], [1, -4]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 4], [1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 12]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 9]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 9], [-1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 3], [1, 9]], [[-1, 3], [-1, 9]], [[-1, 3], [-1, -3]], [[1, 3], [1, 9]], [[-1, 5], [1, 13], [1, 15]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [1, 9]], [[1, 3], [1, -3]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [-1, 5], [1, 13]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 5], [1, 13], [1, 15]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, 9]], [[1, 3], [1, 9]], [[1, 9], [1, -9]], [[1, 5], [-1, 13], [1, 15]], [[1, 9], [1, 15]], [[1, 5], [-1, 13], [1, 15]], [[1, 9], [1, 15]], [[1, 3], [-1, 9]], [[-1, 9], [-1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [-2, 14]], [[-1, 6]], [[1, 6], [-2, 14]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, 10]], [[-1, 2], [-1, -2]], [[1, 2], [1, 10]], [[-1, 6], [2, 14]], [[1, 6]], [[-1, 10], [-1, 14]], [[1, 10], [1, -10]], [[1, 10], [1, 14]], [[1, 2], [1, 10]], [[1, 6]], [[-1, 18]], [[1, 2], [-1, 6], [1, 14]], [[-1, 18]], [[1, 2], [1, -2]], [[1, 2], [-1, 6], [1, 14]], [[-1, 10], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 10], [1, 14]], [[-1, 10], [-1, -10]], [[-1, 6], [2, 14]], [[1, 10], [1, -10]], [[-1, 2], [1, 6], [-1, 14]], [[1, 18]], [[-1, 6]], [[1, 18]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[1, 3], [-1, 5], [-1, 11]], [[1, 7], [-1, 13], [-1, 15]], [[1, 1], [1, 11]], [[1, 7], [1, -7]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [-1, 11]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 7], [1, -7]], [[-1, 7], [-1, -7]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 7], [-1, 9]], [[1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[1, 1], [1, -1]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [1, 7], [1, 9]], [[1, 7], [1, 13], [-1, 15]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 7], [1, 13], [1, 15]], [[1, 7], [1, 13], [-1, 15]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [-1, 7], [1, 15]], [[-1, 11], [-1, -11]], [[1, 11], [1, 13]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[-1, 5], [1, 7]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, -5]], [[1, 11], [1, 13]], [[1, 1], [1, 11]], [[-1, 3], [1, 5], [1, 11]], [[1, 1], [1, -1]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7]], [[-1, 1], [1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 1], [-1, 11]], [[-1, 11], [-1, 13]], [[-1, 1], [-1, -1]], [[1, 3], [-1, 5], [-1, 11]], [[1, 5], [1, 7]], [[-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [-1, 7], [1, 15]], [[-1, 5], [-1, 7]], [[1, 5], [1, 7]], [[-1, 11], [-1, 13]], [[1, 1], [-1, 11]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 7], [-1, 13], [1, 15]]]}
  • id: 5209157
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  • id: 5209142
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 170, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.b1', 'kernel_order': 2, 'label': '768.56452.2an2', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[-1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[-2, 6]], [[-2, 6]], [[2, 18]], [[2, 6]], [[-2, 18]], [[2, 6]], [[-2, 18]], [[2, 18]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 4], [-1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[-1, 4], [1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[1, 4], [1, -4]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 12]], [[-1, 4], [-1, 8]], [[1, 12]], [[1, 4], [1, 8]], [[1, 12]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 4], [-1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [-1, -4]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[-1, 12]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, 8]], [[1, 4], [1, -4]], [[-1, 3], [-1, 9]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 3], [1, 5], [-1, 13]], [[1, 5], [-1, 13], [-1, 15]], [[1, 3], [1, 9]], [[-1, 3], [1, 9]], [[1, 9], [1, -9]], [[1, 3], [-1, 9]], [[-1, 5], [1, 13], [-1, 15]], [[1, 5], [-1, 13], [1, 15]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [1, 9]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, 15]], [[1, 9], [1, 15]], [[1, 9], [1, 15]], [[-1, 9], [-1, 15]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 5], [1, 13], [-1, 15]], [[1, 5], [-1, 13], [1, 15]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 9]], [[1, 3], [-1, 9]], [[1, 3], [1, -3]], [[-1, 5], [1, 13], [1, 15]], [[1, 3], [-1, 5], [1, 13]], [[-1, 5], [1, 13], [1, 15]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [-1, 9]], [[-1, 3], [1, 5], [-1, 13]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 10]], [[-1, 18]], [[1, 2], [1, 10]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 6], [2, 14]], [[-1, 10], [-1, -10]], [[1, 6], [-2, 14]], [[-1, 2], [-1, 10]], [[1, 18]], [[1, 2], [-1, 6], [1, 14]], [[1, 2], [1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[1, 6], [-2, 14]], [[1, 18]], [[-1, 6]], [[-1, 10], [-1, 14]], [[-1, 6]], [[1, 10], [1, -10]], [[-1, 10], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[-1, 6], [2, 14]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, 10]], [[1, 2], [1, -2]], [[1, 10], [1, 14]], [[1, 6]], [[-1, 18]], [[1, 6]], [[-1, 10], [-1, -10]], [[1, 10], [1, 14]], [[-1, 1], [1, 7], [-1, 15]], [[1, 5], [1, 7]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 11], [-1, -11]], [[1, 1], [1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 1], [1, -1]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [1, 11]], [[-1, 7], [-1, 13], [1, 15]], [[1, 1], [-1, 7], [1, 15]], [[1, 1], [1, 11]], [[-1, 11], [-1, -11]], [[1, 11], [1, -11]], [[1, 11], [1, 13]], [[-1, 11], [-1, 13]], [[-1, 7], [-1, 13], [1, 15]], [[1, 7], [1, 13], [-1, 15]], [[1, 1], [-1, 11]], [[1, 5], [1, -5]], [[-1, 11], [-1, 13]], [[1, 11], [1, 13]], [[1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[1, 11], [1, -11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[-1, 3], [1, 5], [1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 7], [-1, -7]], [[1, 1], [-1, 7], [-1, 9]], [[1, 7], [1, -7]], [[-1, 1], [-1, -1]], [[1, 7], [1, 13], [-1, 15]], [[1, 1], [-1, 11]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 11]], [[-1, 7], [-1, -7]], [[1, 1], [1, -1]], [[1, 1], [-1, 7], [-1, 9]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 1], [-1, 7], [1, 15]], [[1, 5], [1, -5]], [[1, 5], [1, 7]], [[1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [-1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[-1, 1], [1, 7], [1, 9]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 7], [1, 13], [1, 15]], [[-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 7], [1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 1], [-1, -1]], [[1, 7], [1, -7]], [[-1, 1], [-1, 11]], [[-1, 5], [1, 7]]]}
  • id: 5209143
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  • id: 5209144
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  • id: 5209145
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  • id: 5209146
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  • id: 5209147
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  • id: 5209148
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 176, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.b1', 'kernel_order': 2, 'label': '768.56452.2an8', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[2, 12]], [[-2, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[-1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[-1, 0]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[2, 6]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[2, 18]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 4], [-1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[-1, 4], [1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[1, 4], [1, -4]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 12]], [[-1, 4], [-1, 8]], [[1, 12]], [[1, 4], [1, 8]], [[1, 12]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 4], [-1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [-1, -4]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[-1, 12]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, 8]], [[1, 4], [1, -4]], [[1, 5], [-1, 13], [1, 15]], [[-1, 3], [1, 9]], [[1, 9], [1, 15]], [[-1, 3], [1, 9]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 5], [1, 13], [1, 15]], [[-1, 3], [-1, -3]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 3], [-1, 9]], [[1, 3], [1, 9]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 5], [1, 13], [-1, 15]], [[1, 3], [1, -3]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [-1, 5], [1, 13]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, 9]], [[1, 3], [1, 9]], [[-1, 9], [-1, -9]], [[-1, 5], [1, 13], [1, 15]], [[1, 5], [-1, 13], [-1, 15]], [[1, 9], [1, -9]], [[1, 3], [-1, 9]], [[-1, 9], [-1, 15]], [[1, 3], [-1, 9]], [[-1, 9], [-1, 15]], [[1, 5], [-1, 13], [1, 15]], [[1, 9], [1, 15]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[1, 18]], [[-1, 2], [-1, 10]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 6], [-2, 14]], [[1, 10], [1, -10]], [[-1, 6], [2, 14]], [[1, 2], [1, 10]], [[-1, 18]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 6], [1, 14]], [[-1, 6], [2, 14]], [[-1, 18]], [[1, 6]], [[1, 10], [1, 14]], [[1, 6]], [[-1, 10], [-1, -10]], [[1, 10], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[1, 6], [-2, 14]], [[1, 2], [-1, 6], [1, 14]], [[1, 2], [1, -2]], [[1, 2], [1, 10]], [[-1, 2], [-1, -2]], [[-1, 10], [-1, 14]], [[-1, 6]], [[1, 18]], [[-1, 6]], [[1, 10], [1, -10]], [[-1, 10], [-1, 14]], [[-1, 11], [-1, 13]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 7], [1, 13], [-1, 15]], [[-1, 5], [-1, 7]], [[-1, 11], [-1, -11]], [[1, 5], [1, 7]], [[1, 7], [-1, 13], [-1, 15]], [[1, 1], [1, 11]], [[1, 11], [1, 13]], [[1, 7], [1, 13], [-1, 15]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [-1, 7], [1, 15]], [[1, 1], [1, 11]], [[-1, 1], [-1, 11]], [[-1, 7], [1, 13], [1, 15]], [[-1, 7], [-1, -7]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [1, -1]], [[-1, 5], [1, 7]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 5], [-1, -5]], [[-1, 3], [1, 5], [1, 11]], [[1, 5], [1, -5]], [[1, 11], [1, -11]], [[-1, 1], [-1, 11]], [[-1, 7], [1, 13], [1, 15]], [[1, 7], [1, -7]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, -5]], [[-1, 11], [-1, -11]], [[-1, 3], [1, 5], [1, 11]], [[1, 5], [-1, 7]], [[1, 11], [1, 13]], [[-1, 7], [-1, -7]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 1], [-1, 11]], [[1, 5], [1, 7]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 11]], [[1, 7], [1, -7]], [[-1, 11], [-1, 13]], [[-1, 1], [1, 11]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 7], [-1, 9]], [[1, 1], [-1, 11]], [[-1, 1], [1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 5], [-1, 7]], [[1, 11], [1, -11]], [[1, 5], [1, -5]], [[-1, 7], [-1, 13], [1, 15]], [[1, 1], [1, 3], [-1, 9], [-1, 11]]]}
  • id: 5209149
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  • id: 5209158
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 185, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.a1', 'kernel_order': 2, 'label': '768.56452.2ao1', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[2, 12]], [[-2, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[0, 0]], [[-1, 0]], [[1, 0], [-2, 8]], [[1, 0]], [[1, 0]], [[-1, 0], [2, 8]], [[-1, 0], [2, 8]], [[1, 0], [-2, 8]], [[2, 18]], [[-2, 18]], [[2, 6]], [[2, 18]], [[-2, 6]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 4], [-1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, -4]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 12]], [[1, 4], [-1, 8]], [[1, 12]], [[1, 4], [-1, 8]], [[-1, 12]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, -4]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[-1, 12]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[-1, 5], [1, 13], [-1, 15]], [[1, 3], [-1, 9]], [[1, 3], [1, -3]], [[-1, 3], [1, 9]], [[-1, 5], [1, 13], [-1, 15]], [[1, 5], [-1, 13], [-1, 15]], [[1, 9], [1, 15]], [[1, 5], [-1, 13], [-1, 15]], [[1, 3], [1, 9]], [[-1, 3], [-1, 9]], [[-1, 9], [-1, 15]], [[-1, 9], [-1, 15]], [[1, 5], [-1, 13], [1, 15]], [[1, 9], [1, 15]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [-1, 5], [1, 13]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [-1, 9]], [[1, 3], [1, 9]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 5], [1, 13], [1, 15]], [[-1, 5], [1, 13], [1, 15]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [-1, 9]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 9]], [[1, 3], [1, -3]], [[1, 5], [-1, 13], [1, 15]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [2, 14]], [[1, 6]], [[1, 6], [-2, 14]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 2], [-1, 10]], [[1, 2], [1, -2]], [[-1, 2], [-1, 10]], [[-1, 6], [2, 14]], [[1, 6]], [[-1, 10], [-1, 14]], [[1, 10], [1, -10]], [[1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 6]], [[1, 18]], [[1, 2], [-1, 6], [1, 14]], [[-1, 18]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[1, 10], [1, 14]], [[1, 2], [1, 10]], [[-1, 10], [-1, 14]], [[1, 10], [1, -10]], [[1, 6], [-2, 14]], [[-1, 10], [-1, -10]], [[1, 2], [-1, 6], [1, 14]], [[-1, 18]], [[-1, 6]], [[1, 18]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 7], [-1, -7]], [[1, 1], [1, 11]], [[-1, 7], [1, 13], [1, 15]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 5], [-1, 7]], [[1, 7], [1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 7], [-1, 13], [1, 15]], [[1, 5], [-1, 7]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 7], [-1, -7]], [[1, 5], [1, 7]], [[-1, 3], [1, 5], [1, 11]], [[-1, 3], [1, 5], [1, 11]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 5], [1, 7]], [[1, 11], [1, 13]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 1], [1, 11]], [[-1, 1], [1, 11]], [[1, 1], [1, 11]], [[1, 1], [-1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 7], [1, 13], [1, 15]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [1, -1]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [-1, 7], [-1, 9]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[1, 5], [-1, 7]], [[1, 11], [1, 13]], [[-1, 5], [1, 7]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [1, 7], [1, 9]], [[-1, 1], [-1, -1]], [[1, 7], [-1, 13], [-1, 15]], [[1, 7], [1, -7]], [[-1, 11], [-1, 13]], [[-1, 1], [-1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 7], [1, 13], [-1, 15]], [[-1, 5], [-1, 7]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, 13]], [[1, 7], [1, -7]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[-1, 1], [-1, 11]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 1], [1, -1]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 7], [1, 15]], [[1, 5], [1, 7]], [[1, 1], [-1, 11]]]}
  • id: 5209168
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  • id: 5209169
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 195, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.a1', 'kernel_order': 2, 'label': '768.56452.2ao11', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[2, 12]], [[-2, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[2, 18]], [[-2, 18]], [[2, 6]], [[2, 18]], [[-2, 6]], [[-2, 18]], [[2, 6]], [[-2, 6]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8]], [[1, 12]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 12]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 12]], [[-1, 4], [-1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, -4]], [[-1, 12]], [[-1, 4], [-1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, -4]], [[1, 5], [-1, 13], [1, 15]], [[-1, 3], [1, 9]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 9]], [[1, 5], [-1, 13], [1, 15]], [[-1, 5], [1, 13], [1, 15]], [[-1, 9], [-1, 15]], [[-1, 5], [1, 13], [1, 15]], [[-1, 3], [-1, 9]], [[1, 3], [1, 9]], [[1, 9], [1, 15]], [[1, 9], [1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 9], [-1, 15]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [1, 9]], [[-1, 3], [-1, 9]], [[1, 3], [-1, 5], [1, 13]], [[1, 5], [-1, 13], [-1, 15]], [[1, 5], [-1, 13], [-1, 15]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [1, 9]], [[1, 3], [1, -3]], [[1, 3], [-1, 9]], [[-1, 3], [-1, -3]], [[-1, 5], [1, 13], [-1, 15]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 6], [-2, 14]], [[1, 6]], [[-1, 6], [2, 14]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[1, 2], [1, 10]], [[-1, 10], [-1, -10]], [[1, 2], [1, 10]], [[1, 6], [-2, 14]], [[1, 6]], [[1, 2], [-1, 6], [1, 14]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 2], [-1, 10]], [[-1, 6]], [[1, 18]], [[-1, 10], [-1, 14]], [[-1, 18]], [[1, 10], [1, -10]], [[1, 10], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 2], [-1, 10]], [[1, 2], [-1, 6], [1, 14]], [[-1, 2], [-1, -2]], [[-1, 6], [2, 14]], [[1, 2], [1, -2]], [[-1, 10], [-1, 14]], [[-1, 18]], [[-1, 6]], [[1, 18]], [[1, 10], [1, -10]], [[1, 10], [1, 14]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[1, 5], [-1, 7]], [[-1, 11], [-1, 13]], [[-1, 7], [-1, 13], [1, 15]], [[1, 5], [1, 7]], [[1, 1], [-1, 7], [1, 15]], [[-1, 5], [-1, 7]], [[-1, 7], [1, 13], [1, 15]], [[1, 1], [1, 11]], [[-1, 1], [-1, -1]], [[1, 7], [1, 13], [-1, 15]], [[1, 11], [1, 13]], [[1, 11], [1, 13]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[-1, 1], [-1, 11]], [[-1, 1], [-1, 11]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 3], [1, 5], [1, 11]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 11], [-1, 13]], [[1, 5], [-1, 7]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 7], [1, 9]], [[1, 7], [1, -7]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 7], [1, 15]], [[1, 1], [1, 11]], [[-1, 7], [1, 13], [1, 15]], [[-1, 3], [1, 5], [1, 11]], [[1, 7], [-1, 13], [-1, 15]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 7], [-1, -7]], [[-1, 5], [1, 7]], [[1, 1], [1, -1]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 1], [1, 11]], [[1, 5], [1, 7]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 5], [1, 7]], [[-1, 7], [-1, -7]], [[1, 3], [-1, 5], [-1, 11]], [[1, 1], [1, -1]], [[-1, 1], [1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [-1, 11]], [[1, 1], [-1, 11]], [[1, 7], [1, -7]], [[-1, 5], [-1, 7]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [-1, 7], [-1, 9]], [[1, 7], [1, 13], [-1, 15]], [[1, 1], [1, 3], [-1, 9], [-1, 11]]]}
  • id: 5209170
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  • id: 5209171
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 197, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.a1', 'kernel_order': 2, 'label': '768.56452.2ao13', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[2, 12]], [[-2, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[-2, 18]], [[2, 6]], [[2, 18]], [[-2, 6]], [[2, 6]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8]], [[1, 12]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 12]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 12]], [[-1, 4], [-1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, -4]], [[-1, 12]], [[-1, 4], [-1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, -4]], [[-1, 3], [-1, 9]], [[1, 5], [-1, 13], [-1, 15]], [[1, 9], [1, -9]], [[-1, 5], [1, 13], [1, 15]], [[-1, 3], [-1, 9]], [[-1, 3], [1, 9]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [1, 9]], [[-1, 5], [1, 13], [-1, 15]], [[1, 5], [-1, 13], [1, 15]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [1, 9]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 9], [-1, 15]], [[-1, 9], [-1, 15]], [[1, 5], [-1, 13], [1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[1, 9], [1, 15]], [[1, 3], [-1, 9]], [[1, 3], [-1, 9]], [[1, 9], [1, 15]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 9], [-1, -9]], [[-1, 5], [1, 13], [1, 15]], [[1, 9], [1, -9]], [[1, 3], [1, 9]], [[-1, 9], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [2, 14]], [[-1, 6]], [[1, 6], [-2, 14]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, 10]], [[1, 10], [1, -10]], [[-1, 2], [-1, 10]], [[-1, 6], [2, 14]], [[-1, 6]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [1, -2]], [[1, 2], [-1, 6], [1, 14]], [[1, 2], [1, 10]], [[1, 6]], [[-1, 18]], [[1, 10], [1, 14]], [[1, 18]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[1, 2], [1, 10]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [1, -2]], [[1, 6], [-2, 14]], [[-1, 2], [-1, -2]], [[1, 10], [1, 14]], [[1, 18]], [[1, 6]], [[-1, 18]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, 14]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, 7]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 11], [-1, 13]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 11], [-1, -11]], [[1, 1], [1, 11]], [[1, 1], [-1, 7], [1, 15]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 7], [1, 13], [-1, 15]], [[1, 7], [1, 13], [-1, 15]], [[-1, 1], [1, 11]], [[1, 1], [-1, 7], [-1, 9]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 3], [1, 5], [1, 11]], [[-1, 5], [-1, -5]], [[-1, 3], [1, 5], [1, 11]], [[-1, 11], [-1, 13]], [[-1, 7], [-1, 13], [1, 15]], [[1, 1], [-1, 11]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[1, 11], [1, 13]], [[1, 5], [1, -5]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 11], [1, -11]], [[-1, 1], [1, 7], [1, 9]], [[1, 5], [1, 7]], [[-1, 7], [1, 13], [1, 15]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [-1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 5], [1, -5]], [[-1, 1], [1, 7], [1, 9]], [[1, 11], [1, -11]], [[-1, 7], [1, 13], [1, 15]], [[1, 5], [1, 7]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 7], [-1, 13], [-1, 15]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 11], [1, 13]], [[1, 3], [-1, 5], [-1, 11]], [[1, 1], [1, 11]], [[-1, 5], [1, 7]]]}
  • id: 5209172
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  • id: 5209173
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 199, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.a1', 'kernel_order': 2, 'label': '768.56452.2ao15', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[2, 12]], [[-2, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[-2, 18]], [[2, 6]], [[2, 18]], [[-2, 6]], [[2, 6]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 6], [-1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8]], [[1, 12]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 12]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 12]], [[-1, 4], [-1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [1, 8]], [[-1, 4], [-1, -4]], [[1, 4], [-1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, -4]], [[-1, 12]], [[-1, 4], [-1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, -4]], [[1, 3], [1, 9]], [[-1, 5], [1, 13], [1, 15]], [[-1, 9], [-1, -9]], [[1, 5], [-1, 13], [-1, 15]], [[1, 3], [1, 9]], [[1, 3], [-1, 9]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [-1, 9]], [[1, 5], [-1, 13], [1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[1, 3], [-1, 5], [1, 13]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [-1, 9]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 9], [1, 15]], [[1, 9], [1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[1, 5], [-1, 13], [1, 15]], [[-1, 9], [-1, 15]], [[-1, 3], [1, 9]], [[-1, 3], [1, 9]], [[-1, 9], [-1, 15]], [[-1, 5], [1, 13], [1, 15]], [[1, 9], [1, -9]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, 9]], [[1, 9], [1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [2, 14]], [[-1, 6]], [[1, 6], [-2, 14]], [[-1, 2], [-1, -2]], [[1, 10], [1, -10]], [[-1, 2], [-1, 10]], [[1, 10], [1, -10]], [[-1, 2], [-1, 10]], [[-1, 6], [2, 14]], [[-1, 6]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [1, -2]], [[1, 2], [-1, 6], [1, 14]], [[1, 2], [1, 10]], [[1, 6]], [[-1, 18]], [[1, 10], [1, 14]], [[1, 18]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, 14]], [[1, 2], [-1, 6], [1, 14]], [[1, 2], [1, 10]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [1, -2]], [[1, 6], [-2, 14]], [[-1, 2], [-1, -2]], [[1, 10], [1, 14]], [[1, 18]], [[1, 6]], [[-1, 18]], [[-1, 10], [-1, -10]], [[-1, 10], [-1, 14]], [[1, 11], [1, -11]], [[1, 5], [1, 7]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [-1, 7], [1, 15]], [[1, 1], [1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 11], [1, 13]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [1, 11]], [[1, 7], [1, 13], [-1, 15]], [[1, 11], [1, -11]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 7], [-1, 13], [1, 15]], [[1, 1], [-1, 11]], [[-1, 1], [1, 7], [1, 9]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 5], [1, 7]], [[-1, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 3], [-1, 5], [-1, 11]], [[1, 5], [1, -5]], [[1, 3], [-1, 5], [-1, 11]], [[1, 11], [1, 13]], [[1, 7], [1, 13], [-1, 15]], [[-1, 1], [1, 11]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 11]], [[-1, 3], [1, 5], [1, 11]], [[-1, 11], [-1, 13]], [[-1, 5], [-1, -5]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 11], [-1, -11]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 5], [-1, 7]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 1], [1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 5], [-1, -5]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 11], [-1, -11]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 7], [1, 13], [1, 15]], [[-1, 7], [1, 13], [1, 15]], [[1, 5], [1, -5]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 11], [-1, 13]], [[-1, 3], [1, 5], [1, 11]], [[-1, 1], [-1, 11]], [[1, 5], [-1, 7]]]}
  • id: 5209176
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  • id: 5209159
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 186, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.a1', 'kernel_order': 2, 'label': '768.56452.2ao2', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[-2, 12]], [[2, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[-1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[2, 18]], [[2, 6]], [[-2, 18]], [[2, 18]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, 8]], [[1, 4], [1, -4]], [[-1, 4], [-1, 8]], [[-1, 12]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 12]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 12]], [[1, 4], [-1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, 8]], [[1, 4], [1, -4]], [[-1, 4], [-1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [-1, -4]], [[1, 12]], [[1, 4], [-1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 9]], [[1, 5], [-1, 13], [1, 15]], [[1, 3], [1, -3]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 3], [1, 9]], [[1, 3], [1, 9]], [[-1, 9], [-1, 15]], [[1, 3], [1, 9]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 5], [1, 13], [1, 15]], [[1, 9], [1, 15]], [[1, 9], [1, 15]], [[1, 3], [-1, 9]], [[-1, 9], [-1, 15]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 5], [1, 13], [1, 15]], [[1, 5], [-1, 13], [-1, 15]], [[1, 3], [-1, 5], [1, 13]], [[-1, 3], [-1, 9]], [[-1, 3], [-1, 9]], [[1, 3], [-1, 5], [1, 13]], [[1, 5], [-1, 13], [1, 15]], [[-1, 3], [-1, -3]], [[-1, 5], [1, 13], [-1, 15]], [[1, 3], [1, -3]], [[1, 3], [-1, 9]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[-1, 18]], [[1, 2], [1, 10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 6], [2, 14]], [[1, 2], [1, -2]], [[-1, 6], [2, 14]], [[-1, 2], [-1, 10]], [[-1, 18]], [[1, 10], [1, 14]], [[1, 10], [1, -10]], [[-1, 10], [-1, 14]], [[1, 6], [-2, 14]], [[1, 18]], [[-1, 6]], [[-1, 2], [1, 6], [-1, 14]], [[1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 6], [1, 14]], [[-1, 10], [-1, 14]], [[1, 6], [-2, 14]], [[1, 10], [1, 14]], [[1, 10], [1, -10]], [[1, 2], [1, 10]], [[-1, 10], [-1, -10]], [[-1, 2], [1, 6], [-1, 14]], [[1, 6]], [[1, 18]], [[-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 6], [1, 14]], [[-1, 7], [-1, -7]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 1], [-1, 11]], [[-1, 3], [1, 5], [1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [1, 7], [1, 9]], [[-1, 1], [1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 5], [1, 7]], [[-1, 7], [-1, -7]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 11], [-1, 13]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 7], [-1, 13], [1, 15]], [[1, 7], [-1, 13], [-1, 15]], [[1, 7], [1, 13], [-1, 15]], [[-1, 3], [1, 5], [1, 11]], [[-1, 1], [-1, 11]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 1], [-1, 7], [1, 15]], [[1, 1], [1, -1]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [1, 7], [1, 9]], [[-1, 5], [1, 7]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 11], [-1, 13]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [-1, -1]], [[1, 1], [1, 11]], [[1, 7], [1, -7]], [[1, 11], [1, 13]], [[-1, 7], [1, 13], [1, 15]], [[-1, 5], [-1, 7]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [1, 11]], [[-1, 1], [-1, -1]], [[1, 11], [1, 13]], [[1, 7], [1, -7]], [[-1, 5], [-1, 7]], [[-1, 7], [1, 13], [1, 15]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[1, 1], [1, -1]], [[-1, 1], [1, 11]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 7], [1, 13], [-1, 15]]]}
  • id: 5209160
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  • id: 5209161
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 188, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.a1', 'kernel_order': 2, 'label': '768.56452.2ao4', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[-2, 12]], [[2, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[-1, 0], [-1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[2, 18]], [[2, 6]], [[-2, 18]], [[2, 18]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, 8]], [[1, 4], [1, -4]], [[-1, 4], [-1, 8]], [[-1, 12]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 12]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 12]], [[1, 4], [-1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [1, 8]], [[1, 4], [1, -4]], [[-1, 4], [-1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [-1, -4]], [[1, 12]], [[1, 4], [-1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 9]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 3], [-1, -3]], [[1, 5], [-1, 13], [1, 15]], [[1, 3], [-1, 9]], [[-1, 3], [-1, 9]], [[1, 9], [1, 15]], [[-1, 3], [-1, 9]], [[-1, 5], [1, 13], [1, 15]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 9], [-1, 15]], [[-1, 9], [-1, 15]], [[-1, 3], [1, 9]], [[1, 9], [1, 15]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 3], [-1, 5], [1, 13]], [[1, 3], [-1, 5], [1, 13]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 5], [1, 13], [1, 15]], [[-1, 3], [1, 5], [-1, 13]], [[1, 3], [1, 9]], [[1, 3], [1, 9]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 5], [1, 13], [-1, 15]], [[1, 3], [1, -3]], [[1, 5], [-1, 13], [1, 15]], [[-1, 3], [-1, -3]], [[-1, 3], [1, 9]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[-1, 18]], [[1, 2], [1, 10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[-1, 6], [2, 14]], [[1, 2], [1, -2]], [[-1, 6], [2, 14]], [[-1, 2], [-1, 10]], [[-1, 18]], [[1, 10], [1, 14]], [[1, 10], [1, -10]], [[-1, 10], [-1, 14]], [[1, 6], [-2, 14]], [[1, 18]], [[-1, 6]], [[-1, 2], [1, 6], [-1, 14]], [[1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 6], [1, 14]], [[-1, 10], [-1, 14]], [[1, 6], [-2, 14]], [[1, 10], [1, 14]], [[1, 10], [1, -10]], [[1, 2], [1, 10]], [[-1, 10], [-1, -10]], [[-1, 2], [1, 6], [-1, 14]], [[1, 6]], [[1, 18]], [[-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 6], [1, 14]], [[1, 7], [1, -7]], [[-1, 7], [1, 13], [1, 15]], [[1, 1], [1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 1], [1, 11]], [[1, 1], [-1, 7], [-1, 9]], [[1, 1], [-1, 11]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[1, 5], [-1, 7]], [[1, 7], [1, -7]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[-1, 3], [1, 5], [1, 11]], [[-1, 3], [1, 5], [1, 11]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[-1, 5], [1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 11], [1, 13]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 7], [1, 13], [-1, 15]], [[1, 7], [1, 13], [-1, 15]], [[-1, 7], [1, 13], [1, 15]], [[-1, 7], [-1, 13], [1, 15]], [[1, 3], [-1, 5], [-1, 11]], [[1, 1], [1, 11]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [-1, 7], [-1, 9]], [[1, 5], [-1, 7]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[1, 11], [1, 13]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [1, -1]], [[-1, 1], [-1, 11]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, 13]], [[1, 7], [-1, 13], [-1, 15]], [[1, 5], [1, 7]], [[-1, 1], [1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 1], [-1, 11]], [[1, 1], [1, -1]], [[-1, 11], [-1, 13]], [[-1, 7], [-1, -7]], [[1, 5], [1, 7]], [[1, 7], [-1, 13], [-1, 15]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 11]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[-1, 7], [-1, 13], [1, 15]]]}
  • id: 5209162
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  • id: 5209164
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  • id: 5209165
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  • id: 5209166
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  • id: 5209167
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  • id: 5209177
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  • id: 5209187
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  • id: 5209188
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  • id: 5209189
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  • id: 5209190
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  • id: 5209191
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  • id: 5209192
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 215, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.a1', 'kernel_order': 2, 'label': '768.56452.2ap15', 'nt': [96, 0], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 12]], [[2, 12]], [[2, 12]], [[-2, 12]], [[1, 0], [-1, 12]], [[1, 0], [1, 12]], [[0, 0]], [[1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[1, 0], [1, 12]], [[-1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[-2, 18]], [[2, 18]], [[-2, 6]], [[-2, 18]], [[2, 6]], [[2, 18]], [[-2, 6]], [[2, 6]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 6], [1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 12]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 12]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[-1, 12]], [[1, 4], [1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[1, 4], [-1, 8]], [[-1, 4], [-1, -4]], [[-1, 4], [1, 8]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 4], [1, -4]], [[-1, 12]], [[1, 4], [1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[1, 4], [1, -4]], [[1, 5], [-1, 13], [1, 15]], [[-1, 3], [1, 9]], [[1, 3], [1, -3]], [[1, 3], [-1, 9]], [[1, 5], [-1, 13], [1, 15]], [[-1, 5], [1, 13], [1, 15]], [[1, 9], [1, 15]], [[-1, 5], [1, 13], [1, 15]], [[-1, 3], [-1, 9]], [[1, 3], [1, 9]], [[-1, 9], [-1, 15]], [[-1, 9], [-1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[1, 9], [1, 15]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 3], [-1, 5], [1, 13]], [[1, 3], [-1, 5], [1, 13]], [[1, 3], [1, 9]], [[-1, 3], [-1, 9]], [[-1, 3], [1, 5], [-1, 13]], [[1, 5], [-1, 13], [-1, 15]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 3], [1, 9]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 9]], [[1, 3], [1, -3]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 6], [2, 14]], [[-1, 6]], [[1, 6], [-2, 14]], [[1, 2], [1, -2]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, 10]], [[-1, 10], [-1, -10]], [[-1, 2], [-1, 10]], [[-1, 6], [2, 14]], [[-1, 6]], [[1, 2], [-1, 6], [1, 14]], [[-1, 2], [-1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [1, 10]], [[1, 6]], [[-1, 18]], [[-1, 10], [-1, 14]], [[1, 18]], [[1, 10], [1, -10]], [[1, 10], [1, 14]], [[-1, 2], [1, 6], [-1, 14]], [[1, 2], [1, 10]], [[1, 2], [-1, 6], [1, 14]], [[-1, 2], [-1, -2]], [[1, 6], [-2, 14]], [[1, 2], [1, -2]], [[-1, 10], [-1, 14]], [[1, 18]], [[1, 6]], [[-1, 18]], [[1, 10], [1, -10]], [[1, 10], [1, 14]], [[1, 1], [1, -1]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[1, 5], [-1, 7]], [[1, 11], [1, 13]], [[-1, 7], [-1, 13], [1, 15]], [[1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 5], [-1, 7]], [[-1, 7], [1, 13], [1, 15]], [[1, 1], [1, 11]], [[1, 1], [1, -1]], [[1, 7], [1, 13], [-1, 15]], [[-1, 11], [-1, 13]], [[-1, 11], [-1, 13]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 1], [-1, 11]], [[-1, 1], [-1, 11]], [[1, 7], [-1, 13], [-1, 15]], [[1, 3], [-1, 5], [-1, 11]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 11], [1, 13]], [[1, 5], [-1, 7]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 7], [-1, -7]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [1, 11]], [[-1, 7], [1, 13], [1, 15]], [[1, 3], [-1, 5], [-1, 11]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 7], [1, 15]], [[1, 7], [1, -7]], [[-1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[-1, 3], [1, 5], [1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 1], [1, 11]], [[1, 5], [1, 7]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 5], [1, 7]], [[1, 7], [1, -7]], [[-1, 3], [1, 5], [1, 11]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[1, 1], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [1, 7], [1, 9]], [[1, 7], [1, 13], [-1, 15]], [[1, 1], [1, 3], [-1, 9], [-1, 11]]]}
  • id: 5209193
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  • id: 5209178
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 202, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.a1', 'kernel_order': 2, 'label': '768.56452.2ap2', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[-2, 12]], [[2, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[2, 18]], [[2, 6]], [[-2, 18]], [[2, 18]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 6], [1, 10]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [-1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[-1, 12]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 12]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[1, 12]], [[-1, 4], [1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [-1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [-1, -4]], [[1, 12]], [[-1, 4], [1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [-1, -4]], [[-1, 5], [1, 13], [1, 15]], [[1, 3], [1, 9]], [[-1, 9], [-1, -9]], [[-1, 3], [-1, 9]], [[-1, 5], [1, 13], [1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[1, 3], [-1, 5], [1, 13]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 3], [1, 9]], [[1, 3], [-1, 9]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[1, 5], [-1, 13], [-1, 15]], [[1, 3], [-1, 5], [1, 13]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 9], [-1, 15]], [[-1, 9], [-1, 15]], [[1, 3], [-1, 9]], [[-1, 3], [1, 9]], [[1, 9], [1, 15]], [[1, 5], [-1, 13], [1, 15]], [[1, 5], [-1, 13], [1, 15]], [[1, 9], [1, 15]], [[1, 3], [1, 9]], [[1, 9], [1, -9]], [[-1, 3], [-1, 9]], [[-1, 9], [-1, -9]], [[1, 5], [-1, 13], [-1, 15]], [[1, 9], [1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[-1, 18]], [[1, 2], [1, 10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [2, 14]], [[-1, 2], [-1, -2]], [[-1, 6], [2, 14]], [[-1, 2], [-1, 10]], [[-1, 18]], [[-1, 10], [-1, 14]], [[-1, 10], [-1, -10]], [[1, 10], [1, 14]], [[1, 6], [-2, 14]], [[1, 18]], [[-1, 6]], [[1, 2], [-1, 6], [1, 14]], [[1, 6]], [[1, 2], [1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[1, 10], [1, 14]], [[1, 6], [-2, 14]], [[-1, 10], [-1, 14]], [[-1, 10], [-1, -10]], [[1, 2], [1, 10]], [[1, 10], [1, -10]], [[1, 2], [-1, 6], [1, 14]], [[1, 6]], [[1, 18]], [[-1, 6]], [[1, 2], [1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[1, 5], [1, -5]], [[1, 1], [-1, 11]], [[-1, 7], [-1, 13], [1, 15]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 5], [1, 7]], [[-1, 7], [1, 13], [1, 15]], [[-1, 3], [1, 5], [1, 11]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 5], [-1, 7]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 5], [1, -5]], [[1, 5], [-1, 7]], [[-1, 1], [1, 7], [1, 9]], [[-1, 1], [1, 7], [1, 9]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 5], [1, 7]], [[-1, 1], [1, 7], [-1, 15]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 1], [1, 11]], [[1, 1], [1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 11]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 11], [-1, 13]], [[1, 11], [1, -11]], [[-1, 11], [-1, 13]], [[-1, 3], [1, 5], [1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 5], [-1, 7]], [[-1, 1], [1, 7], [-1, 15]], [[1, 5], [1, 7]], [[1, 11], [1, 13]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 11], [-1, -11]], [[1, 7], [1, 13], [-1, 15]], [[-1, 5], [-1, -5]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [1, 11]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 7], [1, 13], [1, 15]], [[-1, 5], [1, 7]], [[1, 7], [1, 13], [-1, 15]], [[-1, 11], [-1, -11]], [[1, 1], [-1, 7], [1, 15]], [[-1, 5], [-1, -5]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 1], [1, 11]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 11], [1, -11]], [[1, 7], [-1, 13], [-1, 15]], [[1, 3], [-1, 5], [-1, 11]], [[1, 11], [1, 13]], [[1, 5], [-1, 7]], [[-1, 1], [-1, 11]]]}
  • id: 5209179
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  • id: 5209180
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 204, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.a1', 'kernel_order': 2, 'label': '768.56452.2ap4', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[-2, 12]], [[2, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[-2, 6]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[2, 18]], [[2, 6]], [[-2, 18]], [[2, 18]], [[0, 0]], [[1, 6], [1, -6]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 6], [1, 10]], [[-1, 6], [-1, -6]], [[-1, 2], [1, 6], [1, 10]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[1, 2], [-1, 6], [-1, 10]], [[0, 0]], [[0, 0]], [[1, 6], [1, -6]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [-1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[-1, 12]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 12]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[1, 12]], [[-1, 4], [1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [-1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [-1, -4]], [[1, 12]], [[-1, 4], [1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [-1, -4]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 3], [-1, 9]], [[1, 9], [1, -9]], [[1, 3], [1, 9]], [[1, 5], [-1, 13], [-1, 15]], [[1, 5], [-1, 13], [1, 15]], [[-1, 3], [1, 5], [-1, 13]], [[1, 5], [-1, 13], [1, 15]], [[1, 3], [-1, 9]], [[-1, 3], [1, 9]], [[1, 3], [-1, 5], [1, 13]], [[1, 3], [-1, 5], [1, 13]], [[-1, 5], [1, 13], [1, 15]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 9], [1, 15]], [[1, 9], [1, 15]], [[-1, 3], [1, 9]], [[1, 3], [-1, 9]], [[-1, 9], [-1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 9], [-1, 15]], [[-1, 3], [-1, 9]], [[-1, 9], [-1, -9]], [[1, 3], [1, 9]], [[1, 9], [1, -9]], [[-1, 5], [1, 13], [1, 15]], [[-1, 9], [-1, -9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, 10]], [[-1, 18]], [[1, 2], [1, 10]], [[1, 10], [1, -10]], [[-1, 2], [-1, -2]], [[-1, 6], [2, 14]], [[-1, 2], [-1, -2]], [[-1, 6], [2, 14]], [[-1, 2], [-1, 10]], [[-1, 18]], [[-1, 10], [-1, 14]], [[-1, 10], [-1, -10]], [[1, 10], [1, 14]], [[1, 6], [-2, 14]], [[1, 18]], [[-1, 6]], [[1, 2], [-1, 6], [1, 14]], [[1, 6]], [[1, 2], [1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[1, 10], [1, 14]], [[1, 6], [-2, 14]], [[-1, 10], [-1, 14]], [[-1, 10], [-1, -10]], [[1, 2], [1, 10]], [[1, 10], [1, -10]], [[1, 2], [-1, 6], [1, 14]], [[1, 6]], [[1, 18]], [[-1, 6]], [[1, 2], [1, -2]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 5], [-1, -5]], [[-1, 1], [1, 11]], [[1, 7], [1, 13], [-1, 15]], [[-1, 1], [1, 7], [1, 9]], [[1, 5], [-1, 7]], [[1, 7], [-1, 13], [-1, 15]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 7], [1, 13], [1, 15]], [[1, 5], [1, 7]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[-1, 5], [-1, -5]], [[-1, 5], [1, 7]], [[1, 1], [-1, 7], [-1, 9]], [[1, 1], [-1, 7], [-1, 9]], [[1, 7], [1, -7]], [[1, 7], [1, -7]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 5], [-1, 7]], [[1, 1], [-1, 7], [1, 15]], [[-1, 7], [-1, -7]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, 11]], [[-1, 1], [-1, 11]], [[-1, 1], [1, 11]], [[1, 1], [1, 11]], [[-1, 1], [1, 7], [1, 9]], [[1, 7], [1, 13], [-1, 15]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 11], [1, 13]], [[-1, 11], [-1, -11]], [[1, 11], [1, 13]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 5], [1, 7]], [[1, 1], [-1, 7], [1, 15]], [[-1, 5], [-1, 7]], [[-1, 11], [-1, 13]], [[-1, 3], [1, 5], [1, 11]], [[1, 11], [1, -11]], [[-1, 7], [-1, 13], [1, 15]], [[1, 5], [1, -5]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [-1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 7], [-1, 13], [-1, 15]], [[1, 5], [-1, 7]], [[-1, 7], [-1, 13], [1, 15]], [[1, 11], [1, -11]], [[-1, 1], [1, 7], [-1, 15]], [[1, 5], [1, -5]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 1], [-1, 11]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 11], [-1, -11]], [[-1, 7], [1, 13], [1, 15]], [[-1, 3], [1, 5], [1, 11]], [[-1, 11], [-1, 13]], [[-1, 5], [1, 7]], [[1, 1], [1, 11]]]}
  • id: 5209181
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  • id: 5209182
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 206, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.a1', 'kernel_order': 2, 'label': '768.56452.2ap6', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[-2, 12]], [[2, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[2, 6]], [[-2, 6]], [[2, 18]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [-1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[-1, 12]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 12]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[1, 12]], [[-1, 4], [1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [-1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [-1, -4]], [[1, 12]], [[-1, 4], [1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [-1, -4]], [[-1, 3], [1, 9]], [[1, 5], [-1, 13], [1, 15]], [[-1, 3], [-1, -3]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 3], [1, 9]], [[1, 3], [1, 9]], [[1, 9], [1, 15]], [[1, 3], [1, 9]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 5], [1, 13], [1, 15]], [[-1, 9], [-1, 15]], [[-1, 9], [-1, 15]], [[1, 3], [-1, 9]], [[1, 9], [1, 15]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[1, 3], [-1, 5], [1, 13]], [[1, 3], [-1, 5], [1, 13]], [[-1, 5], [1, 13], [1, 15]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 3], [-1, 9]], [[-1, 3], [-1, 9]], [[-1, 3], [1, 5], [-1, 13]], [[1, 5], [-1, 13], [1, 15]], [[1, 3], [1, -3]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 3], [-1, -3]], [[1, 3], [-1, 9]], [[1, 3], [1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 10]], [[1, 18]], [[-1, 2], [-1, 10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 6], [-2, 14]], [[1, 2], [1, -2]], [[1, 6], [-2, 14]], [[1, 2], [1, 10]], [[1, 18]], [[1, 10], [1, 14]], [[1, 10], [1, -10]], [[-1, 10], [-1, 14]], [[-1, 6], [2, 14]], [[-1, 18]], [[1, 6]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 6], [1, 14]], [[-1, 10], [-1, 14]], [[-1, 6], [2, 14]], [[1, 10], [1, 14]], [[1, 10], [1, -10]], [[-1, 2], [-1, 10]], [[-1, 10], [-1, -10]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 6]], [[-1, 18]], [[1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 6], [1, 14]], [[1, 7], [1, -7]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 1], [-1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [-1, 11]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [1, 11]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 5], [1, 7]], [[1, 7], [1, -7]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 3], [1, 5], [1, 11]], [[-1, 3], [1, 5], [1, 11]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 5], [-1, 7]], [[1, 5], [-1, 7]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[1, 11], [1, 13]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 7], [-1, 13], [1, 15]], [[1, 7], [-1, 13], [-1, 15]], [[1, 7], [1, 13], [-1, 15]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 1], [-1, 11]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 5], [1, 7]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[1, 11], [1, 13]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [1, -1]], [[1, 1], [1, 11]], [[-1, 7], [-1, -7]], [[-1, 11], [-1, 13]], [[-1, 7], [1, 13], [1, 15]], [[-1, 5], [-1, 7]], [[1, 1], [-1, 11]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 1], [1, 11]], [[1, 1], [1, -1]], [[-1, 11], [-1, 13]], [[-1, 7], [-1, -7]], [[-1, 5], [-1, 7]], [[-1, 7], [1, 13], [1, 15]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 5], [1, 7]], [[1, 5], [1, 7]], [[-1, 1], [-1, -1]], [[-1, 1], [1, 11]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 7], [1, 15]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[1, 7], [1, 13], [-1, 15]]]}
  • id: 5209183
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  • id: 5209184
    {'center': '48.b1.a1', 'center_index': 48, 'center_order': 16, 'counter': 208, 'cyclotomic_n': 48, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 0, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '384.78', 'image_order': 384, 'indicator': 0, 'kernel': '384.a1.a1', 'kernel_order': 2, 'label': '768.56452.2ap8', 'nt': [96, 16], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 12]], [[-2, 12]], [[-2, 12]], [[2, 12]], [[1, 0], [1, 12]], [[1, 0], [-1, 12]], [[0, 0]], [[1, 0], [1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[1, 0], [-1, 12]], [[-1, 0], [-1, 12]], [[-1, 0], [1, 12]], [[0, 0]], [[-1, 0]], [[-1, 0], [2, 8]], [[1, 0]], [[1, 0]], [[1, 0], [-2, 8]], [[1, 0], [-2, 8]], [[-1, 0], [2, 8]], [[2, 6]], [[-2, 6]], [[2, 18]], [[2, 6]], [[-2, 18]], [[-2, 6]], [[2, 18]], [[-2, 18]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[1, 6], [1, -6]], [[1, 2], [-1, 6], [-1, 10]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[-1, 2], [1, 6], [1, 10]], [[0, 0]], [[0, 0]], [[-1, 6], [-1, -6]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [-1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[-1, 12]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[-1, 12]], [[1, 0], [-1, 4], [-1, 8], [1, 12]], [[1, 12]], [[-1, 4], [1, 8]], [[-1, 0], [-1, 4], [1, 8], [1, 12]], [[-1, 4], [-1, 8]], [[1, 4], [1, -4]], [[1, 4], [1, 8]], [[1, 0], [1, 4], [-1, 8], [-1, 12]], [[1, 4], [-1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [-1, -4]], [[1, 12]], [[-1, 4], [1, 8]], [[-1, 0], [1, 4], [1, 8], [-1, 12]], [[-1, 4], [-1, -4]], [[1, 3], [-1, 9]], [[-1, 5], [1, 13], [-1, 15]], [[1, 3], [1, -3]], [[1, 5], [-1, 13], [1, 15]], [[1, 3], [-1, 9]], [[-1, 3], [-1, 9]], [[-1, 9], [-1, 15]], [[-1, 3], [-1, 9]], [[-1, 5], [1, 13], [1, 15]], [[1, 5], [-1, 13], [-1, 15]], [[1, 9], [1, 15]], [[1, 9], [1, 15]], [[-1, 3], [1, 9]], [[-1, 9], [-1, 15]], [[1, 9], [1, -9]], [[1, 9], [1, -9]], [[-1, 9], [-1, -9]], [[-1, 9], [-1, -9]], [[-1, 3], [1, 5], [-1, 13]], [[-1, 3], [1, 5], [-1, 13]], [[1, 5], [-1, 13], [-1, 15]], [[-1, 5], [1, 13], [1, 15]], [[1, 3], [-1, 5], [1, 13]], [[1, 3], [1, 9]], [[1, 3], [1, 9]], [[1, 3], [-1, 5], [1, 13]], [[-1, 5], [1, 13], [-1, 15]], [[-1, 3], [-1, -3]], [[1, 5], [-1, 13], [1, 15]], [[1, 3], [1, -3]], [[-1, 3], [1, 9]], [[-1, 3], [-1, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, 10]], [[1, 18]], [[-1, 2], [-1, 10]], [[-1, 10], [-1, -10]], [[1, 2], [1, -2]], [[1, 6], [-2, 14]], [[1, 2], [1, -2]], [[1, 6], [-2, 14]], [[1, 2], [1, 10]], [[1, 18]], [[1, 10], [1, 14]], [[1, 10], [1, -10]], [[-1, 10], [-1, 14]], [[-1, 6], [2, 14]], [[-1, 18]], [[1, 6]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 6], [1, 14]], [[-1, 10], [-1, 14]], [[-1, 6], [2, 14]], [[1, 10], [1, 14]], [[1, 10], [1, -10]], [[-1, 2], [-1, 10]], [[-1, 10], [-1, -10]], [[-1, 2], [1, 6], [-1, 14]], [[-1, 6]], [[-1, 18]], [[1, 6]], [[-1, 2], [-1, -2]], [[1, 2], [-1, 6], [1, 14]], [[-1, 7], [-1, -7]], [[-1, 7], [1, 13], [1, 15]], [[1, 1], [1, 11]], [[-1, 3], [1, 5], [1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 1], [1, 11]], [[-1, 1], [1, 7], [1, 9]], [[1, 1], [-1, 11]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[1, 5], [-1, 7]], [[-1, 7], [-1, -7]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[1, 3], [-1, 5], [-1, 11]], [[-1, 5], [-1, -5]], [[-1, 5], [-1, -5]], [[-1, 5], [1, 7]], [[-1, 5], [1, 7]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 11], [-1, 13]], [[1, 5], [1, -5]], [[1, 5], [1, -5]], [[1, 7], [1, 13], [-1, 15]], [[1, 7], [1, 13], [-1, 15]], [[-1, 7], [1, 13], [1, 15]], [[-1, 7], [-1, 13], [1, 15]], [[-1, 3], [1, 5], [1, 11]], [[1, 1], [1, 11]], [[1, 11], [1, -11]], [[1, 11], [1, -11]], [[1, 1], [-1, 7], [1, 15]], [[1, 1], [1, -1]], [[1, 1], [-1, 7], [1, 15]], [[-1, 1], [1, 7], [1, 9]], [[1, 5], [-1, 7]], [[1, 1], [-1, 3], [-1, 9], [1, 11]], [[-1, 11], [-1, 13]], [[-1, 1], [1, 3], [1, 9], [-1, 11]], [[-1, 1], [1, 7], [-1, 15]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 11]], [[1, 7], [1, -7]], [[1, 11], [1, 13]], [[1, 7], [-1, 13], [-1, 15]], [[1, 5], [1, 7]], [[-1, 1], [1, 11]], [[1, 1], [1, 3], [-1, 9], [-1, 11]], [[-1, 1], [-1, 11]], [[-1, 1], [-1, -1]], [[1, 11], [1, 13]], [[1, 7], [1, -7]], [[1, 5], [1, 7]], [[1, 7], [-1, 13], [-1, 15]], [[-1, 11], [-1, -11]], [[-1, 11], [-1, -11]], [[-1, 5], [-1, 7]], [[-1, 5], [-1, 7]], [[1, 1], [1, -1]], [[1, 1], [-1, 11]], [[1, 1], [-1, 7], [-1, 9]], [[-1, 1], [1, 7], [-1, 15]], [[-1, 1], [-1, 3], [1, 9], [1, 11]], [[-1, 7], [-1, 13], [1, 15]]]}
  • id: 5209185
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  • id: 5209207
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  • id: 5209208
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  • id: 5209209
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  • id: 5209210
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  • id: 5209211
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  • id: 5209212
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  • id: 5209214
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 128, 'counter': 40, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '12.1', 'image_order': 12, 'indicator': -1, 'kernel': '12.c1.a1', 'kernel_order': 64, 'label': '768.56452.2h', 'nt': [12, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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]], [[-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]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[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]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-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: 5209215
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  • id: 5209216
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  • id: 5209217
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 192, 'counter': 43, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '16.6', 'image_order': 16, 'indicator': 0, 'kernel': '16.g1.a1', 'kernel_order': 48, 'label': '768.56452.2j1', 'nt': [8, 7], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[-2, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[2, 0]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[2, 1]], [[2, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 0]], [[-2, 1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[2, 0]], [[2, 1]], [[2, 0]], [[-2, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5209218
    {'center': '4.a1.a1', 'center_index': 4, 'center_order': 192, 'counter': 44, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '16.6', 'image_order': 16, 'indicator': 0, 'kernel': '16.g1.a1', 'kernel_order': 48, 'label': '768.56452.2j2', 'nt': [8, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[2, 0]], [[2, 1]], [[-2, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 0]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 0]], [[2, 0]], [[-2, 1]], [[-2, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 0]], [[2, 1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1]], [[-2, 0]], [[2, 0]], [[-2, 1]], [[2, 0]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5209219
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  • id: 5209220
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  • id: 5209221
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  • id: 5209222
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  • id: 5209223
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  • id: 5209225
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  • id: 5209226
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  • id: 5209227
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  • id: 5209228
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  • id: 5209229
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 128, 'counter': 54, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '24.5', 'image_order': 24, 'indicator': 0, 'kernel': '24.f1.b1', 'kernel_order': 32, 'label': '768.56452.2o2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 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]], [[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]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[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]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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: 5209230
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 55, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.b1.a1', 'kernel_order': 32, 'label': '768.56452.2p1', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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]], [[-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]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[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: 5209231
    {'center': '12.a1.a1', 'center_index': 12, 'center_order': 64, 'counter': 56, 'cyclotomic_n': 12, 'dim': 2, 'faithful': False, 'field': [-3, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '24.6', 'image_order': 24, 'indicator': 1, 'kernel': '24.b1.a1', 'kernel_order': 32, 'label': '768.56452.2p2', 'nt': [12, 12], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 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]], [[-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]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-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: 5209232
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  • id: 5209233
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  • id: 5209234
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  • id: 5209236
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  • id: 5209237
    {'center': '8.b1.a1', 'center_index': 8, 'center_order': 96, 'counter': 61, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '16.9', 'image_order': 16, 'indicator': -1, 'kernel': '16.c1.a1', 'kernel_order': 48, 'label': '768.56452.2s1', 'nt': [16, 14], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[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: 5209238
    {'center': '8.b1.a1', 'center_index': 8, 'center_order': 96, 'counter': 62, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '16.9', 'image_order': 16, 'indicator': -1, 'kernel': '16.c1.a1', 'kernel_order': 48, 'label': '768.56452.2s2', 'nt': [16, 14], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-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: 5209239
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  • id: 5209240
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  • id: 5209241
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 128, 'counter': 65, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '24.1', 'image_order': 24, 'indicator': 0, 'kernel': '24.e1.a1', 'kernel_order': 32, 'label': '768.56452.2u1', 'nt': [24, 8], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 1]], [[2, 1]], [[-2, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1]], [[2, 0]], [[-2, 1]], [[-2, 1]], [[2, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 0]], [[2, 0]], [[-2, 1]], [[2, 0]], [[-2, 0]], [[2, 1]], [[2, 0]], [[2, 1]], [[-2, 0]], [[-2, 1]], [[2, 0]], [[-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]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]]]}
  • id: 5209242
    {'center': '6.a1.a1', 'center_index': 6, 'center_order': 128, 'counter': 66, 'cyclotomic_n': 4, 'dim': 2, 'faithful': False, 'field': [1, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '24.1', 'image_order': 24, 'indicator': 0, 'kernel': '24.e1.a1', 'kernel_order': 32, 'label': '768.56452.2u2', 'nt': [24, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 1]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 1]], [[-2, 1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, 0]], [[-2, 0]], [[-2, 1]], [[2, 0]], [[-2, 1]], [[-2, 0]], [[2, 1]], [[2, 0]], [[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]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[-1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 1]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[1, 0]]]}
  • id: 5209243
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  • id: 5209244
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  • id: 5209245
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  • id: 5209247
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  • id: 5209248
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  • id: 5209249
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  • id: 5209250
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  • id: 5209251
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  • id: 5209252
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  • id: 5209253
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  • id: 5209254
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  • id: 5209255
    {'center': '8.b1.a1', 'center_index': 8, 'center_order': 96, 'counter': 78, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '32.15', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 24, 'label': '768.56452.2z2', 'nt': [16, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 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, 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]], [[-2, 2]], [[0, 0]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [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, -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]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]]]}
  • id: 5209256
    {'center': '8.b1.a1', 'center_index': 8, 'center_order': 96, 'counter': 79, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '32.15', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 24, 'label': '768.56452.2z3', 'nt': [16, 49], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 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, 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]], [[2, 2]], [[0, 0]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-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, -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]], [[2, 2]], [[2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[-2, 2]], [[2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[-2, 2]], [[2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]]]}
  • id: 5209258
    {'center': '8.b1.a1', 'center_index': 8, 'center_order': 96, 'counter': 80, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [1, 0, 0, 0, 1], 'group': '768.56452', 'group_counter': 56452, 'group_order': 768, 'image': None, 'image_isoclass': '32.15', 'image_order': 32, 'indicator': 0, 'kernel': '32.a1.a1', 'kernel_order': 24, 'label': '768.56452.2z4', 'nt': [16, 4], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 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, 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]], [[-2, 2]], [[0, 0]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-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, -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]], [[-2, 2]], [[-2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[2, 2]], [[-2, 2]], [[-2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2]], [[0, 0]], [[0, 0]], [[-2, 2]], [[0, 0]], [[0, 0]], [[2, 2]], [[-2, 2]], [[2, 2]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, 3]], [[1, 1], [1, 3]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, 3]], [[1, 1], [1, 3]]]}
• gps_subgroup_search •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  ambient	text
  ambient_counter	integer
  ambient_order	numeric
  ambient_tex	text
  central	boolean
  central_factor	boolean
  centralizer_order	numeric
  characteristic	boolean
  core_order	numeric
  counter	integer
  cyclic	boolean
  direct	boolean
  hall	numeric
  label	text
  maximal	boolean
  maximal_normal	boolean
  metabelian	boolean
  metacyclic	boolean
  minimal	boolean
  minimal_normal	boolean
  nilpotent	boolean
  normal	boolean
  old_label	text
  outer_equivalence	boolean
  perfect	boolean
  proper	boolean
  quotient	text
  quotient_Agroup	boolean
  quotient_abelian	boolean
  quotient_cyclic	boolean
  quotient_hash	bigint
  quotient_metabelian	boolean
  quotient_nilpotent	boolean
  quotient_order	numeric
  quotient_simple	boolean
  quotient_solvable	boolean
  quotient_supersolvable	boolean
  quotient_tex	text
  simple	boolean
  solvable	boolean
  special_labels	text[]
  split	boolean
  standard_generators	boolean
  stem	boolean
  subgroup	text
  subgroup_hash	bigint
  subgroup_order	numeric
  subgroup_tex	text
  supersolvable	boolean
  sylow	smallint

  
  
  • id: 59852316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 768, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '768.56452.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '768.56452', 'subgroup_hash': 56452, 'subgroup_order': 768, 'subgroup_tex': 'C_{24}.(C_4\\times C_8)', 'supersolvable': True, 'sylow': 0}
  • id: 59852427
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 384, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.2.a1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.5396', 'subgroup_hash': 5396, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\times C_4\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 384, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.2.b1.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.2322', 'subgroup_hash': 2322, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\times C_{24}.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 384, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.2.b1.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '384.2322', 'subgroup_hash': 2322, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\times C_{24}.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 128, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '768.56452.3.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '256.148', 'subgroup_hash': 148, 'subgroup_order': 256, 'subgroup_tex': 'C_8.(C_4\\times C_8)', 'supersolvable': True, 'sylow': 2}
  • id: 59852482
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 192, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.835', 'subgroup_hash': 835, 'subgroup_order': 192, 'subgroup_tex': 'C_2\\times C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59852493
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 192, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.4.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.935', 'subgroup_hash': 935, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852504
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 192, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.4.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.935', 'subgroup_hash': 935, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 192, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.4.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.22', 'subgroup_hash': 22, 'subgroup_order': 192, 'subgroup_tex': 'C_{24}.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 192, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.4.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.22', 'subgroup_hash': 22, 'subgroup_order': 192, 'subgroup_tex': 'C_{24}.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 192, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.4.d1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.22', 'subgroup_hash': 22, 'subgroup_order': 192, 'subgroup_tex': 'C_{24}.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 192, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.4.d1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.22', 'subgroup_hash': 22, 'subgroup_order': 192, 'subgroup_tex': 'C_{24}.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.4.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '192.656', 'subgroup_hash': 656, 'subgroup_order': 192, 'subgroup_tex': 'C_6:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59852361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.4.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '192.656', 'subgroup_hash': 656, 'subgroup_order': 192, 'subgroup_tex': 'C_6:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59852372
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 96, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.4.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '192.151', 'subgroup_hash': 151, 'subgroup_order': 192, 'subgroup_tex': 'C_4\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852383
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 96, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.4.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '192.151', 'subgroup_hash': 151, 'subgroup_order': 192, 'subgroup_tex': 'C_4\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.4.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '192.22', 'subgroup_hash': 22, 'subgroup_order': 192, 'subgroup_tex': 'C_{24}.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 96, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.4.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '192.22', 'subgroup_hash': 22, 'subgroup_order': 192, 'subgroup_tex': 'C_{24}.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852416
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 128, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.6.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.837', 'subgroup_hash': 837, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.6.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.884', 'subgroup_hash': 884, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.6.b1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.b1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '128.884', 'subgroup_hash': 884, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3.\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852441
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 96, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.8.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.161', 'subgroup_hash': 161, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59852442
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 96, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.8.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.176', 'subgroup_hash': 176, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59852443
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 96, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.8.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.176', 'subgroup_hash': 176, 'subgroup_order': 96, 'subgroup_tex': 'C_2^2\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59852444
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 96, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.8.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852445
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 96, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.8.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1.b1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852446
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 96, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.8.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1.a1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852447
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 96, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.8.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1.b1', 'outer_equivalence': False, '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': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852448
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 96, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.8.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59852450
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 96, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.8.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59852451
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 96, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.8.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59852452
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 96, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.8.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.46', 'subgroup_hash': 46, 'subgroup_order': 96, 'subgroup_tex': 'C_4\\times C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59852453
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.8.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.18', 'subgroup_hash': 18, 'subgroup_order': 96, 'subgroup_tex': 'C_6:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852454
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.8.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '96.18', 'subgroup_hash': 18, 'subgroup_order': 96, 'subgroup_tex': 'C_6:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852455
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.8.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852456
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.8.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.8.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.19', 'subgroup_hash': 19, 'subgroup_order': 96, 'subgroup_tex': 'C_3:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59852458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.8.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '96.19', 'subgroup_hash': 19, 'subgroup_order': 96, 'subgroup_tex': 'C_3:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59852459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.8.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.19', 'subgroup_hash': 19, 'subgroup_order': 96, 'subgroup_tex': 'C_3:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59852461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.8.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '96.19', 'subgroup_hash': 19, 'subgroup_order': 96, 'subgroup_tex': 'C_3:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59852462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.8.l1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.l1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '96.19', 'subgroup_hash': 19, 'subgroup_order': 96, 'subgroup_tex': 'C_3:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59852463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 48, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.8.l1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.l1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '96.19', 'subgroup_hash': 19, 'subgroup_order': 96, 'subgroup_tex': 'C_3:\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59852464
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.8.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852465
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.8.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.59', 'subgroup_hash': 59, 'subgroup_order': 96, 'subgroup_tex': 'C_2\\times C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852466
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 64, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.12.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.83', 'subgroup_hash': 83, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852467
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 64, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.12.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.183', 'subgroup_hash': 183, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852468
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 64, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.12.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.183', 'subgroup_hash': 183, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.12.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.184', 'subgroup_hash': 184, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59852470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.12.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.184', 'subgroup_hash': 184, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\times \\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59852472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.12.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.45', 'subgroup_hash': 45, 'subgroup_order': 64, 'subgroup_tex': 'C_8.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.12.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '64.45', 'subgroup_hash': 45, 'subgroup_order': 64, 'subgroup_tex': 'C_8.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.12.e1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.e1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.45', 'subgroup_hash': 45, 'subgroup_order': 64, 'subgroup_tex': 'C_8.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.12.e1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.e1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.45', 'subgroup_hash': 45, 'subgroup_order': 64, 'subgroup_tex': 'C_8.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852476
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 32, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.12.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.26', 'subgroup_hash': 26, 'subgroup_order': 64, 'subgroup_tex': 'C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852477
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 32, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.12.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.26', 'subgroup_hash': 26, 'subgroup_order': 64, 'subgroup_tex': 'C_4\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.12.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.45', 'subgroup_hash': 45, 'subgroup_order': 64, 'subgroup_tex': 'C_8.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.12.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.45', 'subgroup_hash': 45, 'subgroup_order': 64, 'subgroup_tex': 'C_8.C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852480
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 48, 'counter': 58, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.16.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59852481
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 48, 'counter': 59, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.16.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_8', '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: 59852483
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 48, 'counter': 60, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.16.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_{16}', '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: 59852484
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 48, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.16.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1.a1', 'outer_equivalence': False, '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': 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: 59852485
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 48, 'counter': 62, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.16.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}', '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: 59852486
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 48, 'counter': 63, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.16.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.f1.a1', 'outer_equivalence': False, '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': 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: 59852487
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 48, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.16.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\OD_{16}', '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: 59852488
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 65, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.16.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', '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: 59852489
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.16.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '\\SD_{16}', '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: 59852490
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 67, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.16.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', '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: 59852491
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 68, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.16.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_4', '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: 59852492
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.16.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', '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: 59852494
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 48, 'counter': 70, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.16.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', '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: 59852495
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 48, 'counter': 71, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.16.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2', '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: 59852496
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 48, 'counter': 72, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.16.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_4', '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: 59852497
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.16.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.44', 'subgroup_hash': 44, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59852498
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.16.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.20', 'subgroup_hash': 20, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59852499
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.16.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.1', 'subgroup_hash': 1, 'subgroup_order': 48, 'subgroup_tex': 'C_3:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852500
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.16.o1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.o1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.1', 'subgroup_hash': 1, 'subgroup_order': 48, 'subgroup_tex': 'C_3:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852501
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.16.o1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.o1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.1', 'subgroup_hash': 1, 'subgroup_order': 48, 'subgroup_tex': 'C_3:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852502
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 24, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.16.o1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.o1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '48.1', 'subgroup_hash': 1, 'subgroup_order': 48, 'subgroup_tex': 'C_3:C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852503
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 79, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.16.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852505
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 80, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.16.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.p1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852506
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 81, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.16.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852507
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 82, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.16.q1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.q1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.2', 'subgroup_hash': 2, 'subgroup_order': 48, 'subgroup_tex': 'C_{48}', 'supersolvable': True, 'sylow': 0}
  • id: 59852508
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 32, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.24.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:Q_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59852509
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 32, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.24.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1.a1', 'outer_equivalence': False, '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': ['U2'], 'split': False, '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: 59852510
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 32, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.24.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.7', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, '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: 59852511
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 32, 'counter': 86, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.24.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852512
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 32, 'counter': 87, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.24.d1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852513
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 32, 'counter': 88, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.24.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852514
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 32, 'counter': 89, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.24.e1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852516
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 32, 'counter': 90, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.24.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852517
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 32, 'counter': 91, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.24.f1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.5', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852518
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 32, 'counter': 92, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.24.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852519
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 32, 'counter': 93, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.24.g1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.g1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.3', 'subgroup_hash': 3, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852520
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.24.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852521
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.24.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852522
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.24.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852523
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.24.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.24.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59852525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.24.k1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.k1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59852318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.24.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59852319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.24.l1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.l1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59852320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.24.l1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.l1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59852321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.24.l1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.l1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '32.17', 'subgroup_hash': 17, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{32}', 'supersolvable': True, 'sylow': 0}
  • id: 59852322
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.24.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852323
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.24.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.16', 'subgroup_hash': 16, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852324
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 106, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.32.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.15', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8.C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59852325
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 107, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.32.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.14', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:C_4', 'simple': False, 'solvable': True, 'special_labels': ['C5'], '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: 59852326
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 108, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.32.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_8', '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: 59852327
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 109, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.32.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4:C_8', '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: 59852329
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 110, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.32.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59852330
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 111, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.32.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.15', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8.C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59852331
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 112, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.32.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.2', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2.C_4^2', '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: 59852332
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 113, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.32.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59852333
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 114, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.32.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59852334
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 115, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.32.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59852335
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 24, 'counter': 116, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.32.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'Q_8:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59852336
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 117, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.32.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.3', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4\\times C_8', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59852337
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 118, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.32.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.4', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59852338
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 119, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.32.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59852340
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 24, 'counter': 120, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.32.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.5', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 59852341
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 6, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.32.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59852342
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 6, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.32.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.n1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59852343
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 6, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.32.n1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.n1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59852344
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 6, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.32.n1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.n1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59852345
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 12, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.32.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59852346
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 12, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.32.o1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.o1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59852347
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 16, 'counter': 127, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.48.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.13', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59852348
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 16, 'counter': 128, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.48.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.7', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 7, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{24}', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U3'], '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: 59852349
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 16, 'counter': 129, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.48.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:Q_{16}', '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: 59852351
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 16, 'counter': 130, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.48.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.9', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:C_8', '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: 59852352
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 16, 'counter': 131, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.48.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:\\OD_{16}', '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: 59852353
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 16, 'counter': 132, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.48.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.9', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6:C_8', '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: 59852354
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 16, 'counter': 133, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.48.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:\\OD_{16}', '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: 59852355
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 134, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.48.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:C_2', '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: 59852356
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 135, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.48.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.6', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:C_2', '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: 59852357
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 136, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.48.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59852358
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 137, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.48.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59852359
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 138, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.48.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.14', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6:C_4', '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: 59852360
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 16, 'counter': 139, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.48.j1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.j1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.14', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6:C_4', '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: 59852362
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 16, 'counter': 140, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.48.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.11', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:C_4', '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: 59852363
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 16, 'counter': 141, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.48.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '48.19', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 19, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852364
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 8, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.48.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59852365
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 8, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.48.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59852366
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 144, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.48.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852367
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 145, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.48.o1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.o1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852368
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 146, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.48.o1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.o1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852369
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 147, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.48.o1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.o1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852370
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 8, 'counter': 148, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.48.p1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.p1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852371
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 8, 'counter': 149, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.48.p1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.p1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852373
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 8, 'counter': 150, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.48.q1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.q1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852374
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 8, 'counter': 151, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.48.q1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.q1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.1', 'subgroup_hash': 1, 'subgroup_order': 16, 'subgroup_tex': 'C_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59852375
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 12, 'counter': 152, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.64.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.16', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:C_8', 'simple': False, 'solvable': True, 'special_labels': ['S', 'C6'], '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: 59852376
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 12, 'counter': 153, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.64.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.15', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:C_8', '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: 59852377
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 12, 'counter': 154, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.64.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.22', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 22, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.C_4^2', '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: 59852378
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 12, 'counter': 155, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.64.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.16', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:C_8', '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: 59852379
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 12, 'counter': 156, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.64.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.21', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 21, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.C_4^2', '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: 59852380
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 12, 'counter': 157, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.64.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.15', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8:C_8', '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: 59852381
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 12, 'counter': 158, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.64.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.17', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2.C_4^2', 'simple': False, 'solvable': True, 'special_labels': ['L2'], '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: 59852382
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 6, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.64.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59852384
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 6, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.64.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59852385
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 3, 'counter': 161, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.64.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': 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: 59852386
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 3, 'counter': 162, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.64.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': 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: 59852387
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 3, 'counter': 163, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.64.i1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.i1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': 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: 59852388
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 3, 'counter': 164, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.64.i1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.i1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': 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: 59852389
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 165, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.96.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.26', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}.C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59852390
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 8, 'counter': 166, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.96.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.25', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 25, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59852391
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 167, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.96.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:C_8', '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: 59852392
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 168, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.96.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:C_8', '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: 59852393
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 169, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.96.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.24', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 24, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59852395
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 170, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.96.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.26', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}.C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59852396
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 171, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.96.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.38', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 38, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6.C_4^2', '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: 59852397
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 172, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.96.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852398
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 8, 'counter': 173, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.96.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{12}:C_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852399
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 8, 'counter': 174, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.96.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.23', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6.Q_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852400
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 8, 'counter': 175, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.96.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.23', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 23, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6.Q_{16}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852401
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 176, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.96.j1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.j1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.9', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}:C_8', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852402
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 177, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.96.k1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.k1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6.C_4^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852403
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 178, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.96.l1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.l1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852404
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 179, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.96.m1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.m1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '96.37', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 37, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}.D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59852406
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.96.n1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.n1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59852407
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.96.n1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.n1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59852408
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.96.n1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.n1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59852409
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.96.n1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.n1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59852410
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 4, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.96.o1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.o1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59852411
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 4, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.96.o1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.o1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59852412
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 6, 'counter': 186, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.128.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.105', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 105, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}.C_8', 'simple': False, 'solvable': True, 'special_labels': ['C7'], '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: 59852413
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 6, 'counter': 187, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.128.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.105', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 105, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{16}.C_8', '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: 59852414
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 6, 'counter': 188, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.128.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '128.9', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 9, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2.D_4', 'simple': False, 'solvable': True, 'special_labels': ['L3'], '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: 59852415
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 3, 'counter': 189, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.128.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59852417
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 3, 'counter': 190, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.128.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59852418
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 4, 'counter': 191, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.192.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.17', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:C_8', '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: 59852419
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 4, 'counter': 192, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.192.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.16', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:C_8', '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: 59852420
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 4, 'counter': 193, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.56452.192.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.111', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 111, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}.C_4^2', '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: 59852421
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 4, 'counter': 194, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.192.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.17', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 17, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:C_8', '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: 59852422
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 4, 'counter': 195, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.192.e1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.e1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.110', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 110, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}.C_4^2', '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: 59852423
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 4, 'counter': 196, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.192.f1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.f1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.16', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 16, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}:C_8', '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: 59852424
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 4, 'counter': 197, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.192.g1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.g1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '192.83', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 83, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_{12}):C_8', '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: 59852425
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.192.h1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.h1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': 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: 59852426
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.56452.192.h1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.h1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': 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: 59852429
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 200, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.192.i1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.i1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': 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: 59852430
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 201, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.192.i1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.i1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': 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: 59852431
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 202, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.192.i1.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.i1.c1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': 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: 59852432
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 203, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.192.i1.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.i1.d1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': 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: 59852433
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 3, 'counter': 204, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '768.56452.256.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '256.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '256.148', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 148, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_8.(C_4\\times C_8)', 'simple': True, 'solvable': True, 'special_labels': ['L4'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 59852434
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 205, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.384.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '384.a1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '384.78', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 78, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}.C_8', 'simple': True, 'solvable': True, 'special_labels': ['C8'], '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: 59852435
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 206, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.384.a1.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '384.a1.b1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '384.78', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 78, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{48}.C_8', '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: 59852436
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 2, 'counter': 207, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.56452.384.b1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '384.b1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '384.230', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 230, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': '(C_2\\times C_{24}):C_8', '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: 59852437
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 208, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.384.c1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.c1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, '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: 59852438
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 209, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.56452.384.d1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.d1.a1', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 384, '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: 59852440
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.56452', 'ambient_counter': 56452, 'ambient_order': 768, 'ambient_tex': 'C_{24}.(C_4\\times C_8)', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 1, 'counter': 210, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '768.56452.768.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.a1.a1', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '768.56452', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 56452, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{24}.(C_4\\times C_8)', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U4', 'D2', 'C9'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 59852316
    {'ambient': '768.56452', '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': '48.b1.a1', 'complements': ['768.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1', '3.a1.a1'], 'core': '1.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4150, 5346, 6264, 4869, 5273, 6283, 5430, 5458], 'generators': [1, 128, 384, 4, 24, 528, 192, 96, 2], 'label': '768.56452.1.a1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'normalizer': '1.a1.a1', 'old_label': '1.a1.a1', 'projective_image': '48.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': '48.7'}
  • id: 59852317
    {'ambient': '768.56452', 'aut_centralizer_order': 8, 'aut_label': '4.d1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '768.1083369', 'aut_weyl_index': 32, 'centralizer': '48.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1'], 'contains': ['8.f1.a1', '8.l1.d1', '12.e1.b1'], 'core': '4.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2235, 2418, 6003, 6074, 3098, 4799, 2244, 6358], 'generators': [393, 192, 4, 528, 128, 578, 96], 'label': '768.56452.4.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.d1.b1', 'normal_contained_in': ['2.b1.b1'], 'normal_contains': ['8.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.b1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.b1', 'subgroup_fusion': None, 'weyl_group': '48.7'}
  • id: 59852318
    {'ambient': '768.56452', 'aut_centralizer_order': 32, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.48', 'aut_weyl_index': 768, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.a1', '12.d1.a1', '12.e1.c1', '12.g1.a1'], 'contains': ['48.j1.a1', '48.o1.a1'], 'core': '48.j1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1629, -1, 3710, -1, 1599, -1, 6079, -1], 'generators': [1, 96], 'label': '768.56452.24.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.l1.a1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 59852319
    {'ambient': '768.56452', 'aut_centralizer_order': 32, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.48', 'aut_weyl_index': 768, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.b1', '12.d1.a1', '12.e1.d1', '12.g1.a1'], 'contains': ['48.j1.a1', '48.o1.b1'], 'core': '48.j1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1629, -1, 3572, -1, 1599, -1, 5710, -1], 'generators': [385, 96], 'label': '768.56452.24.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '24.l1.b1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 59852320
    {'ambient': '768.56452', 'aut_centralizer_order': 32, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.48', 'aut_weyl_index': 768, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.c1', '12.d1.b1', '12.e1.a1', '12.g1.b1'], 'contains': ['48.j1.b1', '48.o1.c1'], 'core': '48.j1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [1629, -1, 5974, -1, 1599, -1, 1782, -1], 'generators': [9, 96], 'label': '768.56452.24.l1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.b1', 'old_label': '24.l1.c1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.c1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 59852321
    {'ambient': '768.56452', 'aut_centralizer_order': 32, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.48', 'aut_weyl_index': 768, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1.d1', '12.d1.b1', '12.e1.b1', '12.g1.b1'], 'contains': ['48.j1.b1', '48.o1.d1'], 'core': '48.j1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [1629, -1, 6300, -1, 1599, -1, 1642, -1], 'generators': [393, 96], 'label': '768.56452.24.l1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.b1', 'old_label': '24.l1.d1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1.d1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 59852322
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '32.48', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.m1.a1', '12.b1.a1', '12.f1.a1', '12.f1.b1'], 'contains': ['48.l1.a1', '48.p1.a1', '48.p1.b1'], 'core': '48.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8791, -1, 8957, -1, 8962, -1, 8513, -1], 'generators': [4, 24], 'label': '768.56452.24.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.m1.a1', 'projective_image': '192.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852323
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '32.48', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.n1.a1', '12.c1.a1', '12.f1.a1', '12.f1.b1'], 'contains': ['48.l1.a1', '48.q1.a1', '48.q1.b1'], 'core': '48.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9567, -1, 8624, -1, 8615, -1, 8968, -1], 'generators': [30, 240], 'label': '768.56452.24.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.n1.a1', 'projective_image': '192.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852324
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '32.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.m1.a1'], 'contains': ['64.a1.a1', '64.b1.a1', '64.c1.a1', '64.h1.a1', '64.h1.b1', '96.a1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4384, 5156, 1450, 5411, 2938, 3297, 1681, 6390], 'generators': [292, 192, 384, 128], 'label': '768.56452.32.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.a1.a1', '64.c1.a1', '64.b1.a1', '96.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.a1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852325
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '32.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1'], 'contains': ['64.a1.a1', '64.d1.a1', '64.e1.a1', '96.b1.a1'], 'core': '32.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2541, 2769, 3264, 9502, 1611, 1939, 3035, 7765], 'generators': [4, 384, 128, 192], 'label': '768.56452.32.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.b1.a1', 'normal_contained_in': ['16.a1.a1', '16.b1.a1', '16.c1.a1'], 'normal_contains': ['64.a1.a1', '64.e1.a1', '64.d1.a1', '96.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.b1.a1', 'projective_image': '96.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852326
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '32.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.d1.a1', '16.e1.a1'], 'contains': ['64.a1.a1', '64.f1.a1', '64.g1.a1', '96.c1.a1'], 'core': '32.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6011, 6162, 6275, 3741, 5690, 5920, 5770, 4151], 'generators': [96, 384, 128, 192], 'label': '768.56452.32.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.c1.a1', 'normal_contained_in': ['16.a1.a1', '16.e1.a1', '16.d1.a1'], 'normal_contains': ['64.a1.a1', '64.f1.a1', '64.g1.a1', '96.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.c1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.2', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852327
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '32.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.f1.a1', '16.g1.a1'], 'contains': ['64.b1.a1', '64.d1.a1', '64.g1.a1', '96.d1.a1'], 'core': '32.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5665, 5655, 6500, 3109, 5343, 5439, 5543, 4527], 'generators': [388, 96, 128, 192], 'label': '768.56452.32.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.d1.a1', 'normal_contained_in': ['16.a1.a1', '16.g1.a1', '16.f1.a1'], 'normal_contains': ['64.b1.a1', '64.d1.a1', '64.g1.a1', '96.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.d1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.2', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852328
    {'ambient': '768.56452', 'aut_centralizer_order': 8, 'aut_label': '4.d1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '768.1083369', 'aut_weyl_index': 32, 'centralizer': '48.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.f1.b1', '8.l1.a1', '12.e1.c1'], 'core': '4.d1.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [2235, 2418, 4173, 4869, 3098, 4799, 5317, 5733], 'generators': [1, 192, 4, 528, 128, 2, 96], 'label': '768.56452.4.d1.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.d1.c1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['8.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.c1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.c1', 'subgroup_fusion': None, 'weyl_group': '48.7'}
  • id: 59852329
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '32.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.h1.a1', '16.h1.b1'], 'contains': ['64.b1.a1', '64.e1.a1', '64.f1.a1', '96.e1.a1'], 'core': '32.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2194, 4029, 2654, 8132, 2598, 2420, 2616, 7389], 'generators': [4, 480, 128, 192], 'label': '768.56452.32.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.e1.a1', 'normal_contained_in': ['16.a1.a1', '16.h1.a1', '16.h1.b1'], 'normal_contains': ['64.b1.a1', '64.e1.a1', '64.f1.a1', '96.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.e1.a1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852330
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '32.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.n1.a1'], 'contains': ['64.c1.a1', '64.d1.a1', '64.f1.a1', '96.f1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4044, 4658, 1901, 5010, 3961, 3769, 2389, 6021], 'generators': [388, 672, 128, 192], 'label': '768.56452.32.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.f1.a1', 'normal_contained_in': ['16.a1.a1'], 'normal_contains': ['64.c1.a1', '64.d1.a1', '64.f1.a1', '96.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.f1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852331
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '32.g1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '16.i1.a1', '16.i1.b1', '16.j1.a1', '16.j1.b1', '16.k1.a1', '16.l1.a1'], 'contains': ['64.c1.a1', '64.e1.a1', '64.g1.a1', '96.g1.a1'], 'core': '32.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3615, 3399, 3038, 6387, 4485, 4250, 4308, 5645], 'generators': [4, 96, 128, 192], 'label': '768.56452.32.g1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.g1.a1', 'normal_contained_in': ['16.a1.a1', '16.i1.b1', '16.i1.a1', '16.j1.a1', '16.j1.b1', '16.k1.a1', '16.l1.a1'], 'normal_contains': ['64.c1.a1', '64.e1.a1', '64.g1.a1', '96.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.g1.a1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852332
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '32.h1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.h1.a1', '16.j1.a1', '16.o1.a1', '16.o1.b1'], 'contains': ['64.e1.a1', '96.h1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [771, 1786, 1726, 9818, 286, 103, 4703, 9919], 'generators': [2, 128, 4, 192], 'label': '768.56452.32.h1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.h1.a1', 'normal_contained_in': ['16.b1.a1', '16.j1.a1', '16.h1.a1'], 'normal_contains': ['64.e1.a1', '96.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.h1.a1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852333
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '32.h1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '16.h1.b1', '16.j1.b1', '16.o1.c1', '16.o1.d1'], 'contains': ['64.e1.a1', '96.h1.b1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [771, 1786, 4942, 8870, 286, 103, 2213, 9200], 'generators': [386, 128, 4, 192], 'label': '768.56452.32.h1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.h1.b1', 'normal_contained_in': ['16.b1.a1', '16.j1.b1', '16.h1.b1'], 'normal_contains': ['64.e1.a1', '96.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '32.h1.b1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.h1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852334
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '32.i1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.h1.b1', '16.j1.a1'], 'contains': ['64.e1.a1', '96.i1.a1'], 'core': '32.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1684, 1016, 3491, 8649, 1053, 363, 3401, 8683], 'generators': [102, 128, 4, 192], 'label': '768.56452.32.i1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.i1.a1', 'normal_contained_in': ['16.c1.a1', '16.j1.a1', '16.h1.b1'], 'normal_contains': ['64.e1.a1', '96.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.i1.a1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852335
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '32.i1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '16.h1.a1', '16.j1.b1'], 'contains': ['64.e1.a1', '96.i1.b1'], 'core': '32.i1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1684, 1016, 3614, 9090, 1053, 363, 3523, 9403], 'generators': [486, 128, 4, 192], 'label': '768.56452.32.i1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.i1.b1', 'normal_contained_in': ['16.c1.a1', '16.j1.b1', '16.h1.a1'], 'normal_contains': ['64.e1.a1', '96.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '32.i1.b1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.5', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.i1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852336
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '32.j1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.f1.a1', '16.k1.a1'], 'contains': ['64.g1.a1', '96.j1.a1'], 'core': '32.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6547, 7696, 6796, 2793, 6248, 8015, 6432, 2310], 'generators': [528, 128, 288, 192], 'label': '768.56452.32.j1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.j1.a1', 'normal_contained_in': ['16.d1.a1', '16.k1.a1', '16.f1.a1'], 'normal_contains': ['64.g1.a1', '96.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.j1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.2', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.j1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852337
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '32.k1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '16.g1.a1', '16.k1.a1'], 'contains': ['64.g1.a1', '96.k1.a1'], 'core': '32.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6360, 6910, 6675, 2382, 6436, 6693, 6213, 3233], 'generators': [724, 128, 96, 192], 'label': '768.56452.32.k1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.k1.a1', 'normal_contained_in': ['16.e1.a1', '16.k1.a1', '16.g1.a1'], 'normal_contains': ['64.g1.a1', '96.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.k1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.2', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852338
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '32.l1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '16.g1.a1', '16.l1.a1', '16.p1.a1', '16.p1.b1'], 'contains': ['64.g1.a1', '96.l1.a1'], 'core': '32.l1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6814, 7303, 8484, 3425, 7969, 6953, 6604, 3030], 'generators': [144, 128, 288, 192], 'label': '768.56452.32.l1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.l1.a1', 'normal_contained_in': ['16.d1.a1', '16.l1.a1', '16.g1.a1'], 'normal_contains': ['64.g1.a1', '96.l1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.l1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.l1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852339
    {'ambient': '768.56452', 'aut_centralizer_order': 8, 'aut_label': '4.d1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '768.1083369', 'aut_weyl_index': 32, 'centralizer': '48.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.f1.b1', '8.l1.b1', '12.e1.d1'], 'core': '4.d1.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [2235, 2418, 3868, 4571, 3098, 4799, 5151, 5458], 'generators': [385, 192, 4, 528, 128, 2, 96], 'label': '768.56452.4.d1.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.d1.d1', 'normal_contained_in': ['2.b1.a1'], 'normal_contains': ['8.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.d1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.d1', 'subgroup_fusion': None, 'weyl_group': '48.7'}
  • id: 59852340
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '32.m1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '16.f1.a1', '16.l1.a1', '16.q1.a1', '16.q1.b1'], 'contains': ['64.g1.a1', '96.m1.a1'], 'core': '32.m1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7808, 7970, 7024, 2066, 6623, 8275, 8093, 2513], 'generators': [340, 128, 96, 192], 'label': '768.56452.32.m1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.m1.a1', 'normal_contained_in': ['16.e1.a1', '16.l1.a1', '16.f1.a1'], 'normal_contains': ['64.g1.a1', '96.m1.a1'], 'normalizer': '1.a1.a1', 'old_label': '32.m1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '16.10', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '32.m1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852341
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '32.n1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.m1.a1'], 'contains': ['64.h1.a1', '64.i1.a1', '64.i1.b1', '96.n1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5236, -1, 100, -1, 2250, -1, 784, -1], 'generators': [726, 384, 128, 100], 'label': '768.56452.32.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.n1.a1', 'projective_image': '384.78', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.n1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852342
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '32.n1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.m1.a1'], 'contains': ['64.h1.a1', '64.i1.c1', '64.i1.d1', '96.n1.b1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5236, -1, 1228, -1, 2250, -1, 329, -1], 'generators': [534, 384, 128, 100], 'label': '768.56452.32.n1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.n1.b1', 'projective_image': '384.78', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.n1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852343
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '32.n1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.m1.a1'], 'contains': ['64.h1.b1', '64.i1.a1', '64.i1.d1', '96.n1.c1'], 'core': '128.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5236, -1, 552, -1, 2250, -1, 101, -1], 'generators': [534, 576, 128, 100], 'label': '768.56452.32.n1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.n1.c1', 'projective_image': '384.78', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.n1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852344
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '32.n1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.m1.a1'], 'contains': ['64.h1.b1', '64.i1.b1', '64.i1.c1', '96.n1.d1'], 'core': '128.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5236, -1, 1004, -1, 2250, -1, 556, -1], 'generators': [150, 576, 128, 100], 'label': '768.56452.32.n1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.n1.d1', 'projective_image': '384.78', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.n1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852345
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '32.o1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '16.m1.a1', '16.n1.a1'], 'contains': ['64.c1.a1', '64.i1.a1', '64.i1.c1', '96.o1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4806, -1, 778, -1, 3279, -1, 1011, -1], 'generators': [150, 192, 128, 100], 'label': '768.56452.32.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.o1.a1', 'projective_image': '384.230', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.o1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852346
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '32.o1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1.b1', '16.m1.a1', '16.n1.a1'], 'contains': ['64.c1.a1', '64.i1.b1', '64.i1.d1', '96.o1.b1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4806, -1, 326, -1, 3279, -1, 1458, -1], 'generators': [534, 192, 128, 100], 'label': '768.56452.32.o1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '32.o1.b1', 'projective_image': '384.230', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.o1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852347
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '48.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.c1.a1'], 'contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '96.d1.a1', '96.e1.a1', '96.f1.a1', '96.g1.a1'], 'core': '48.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3159, 3246, 4736, 6011, 4825, 4722, 4531, 5276], 'generators': [4, 96, 384], 'label': '768.56452.48.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.a1.a1', 'normal_contained_in': ['16.a1.a1', '24.a1.a1', '24.b1.a1', '24.c1.a1'], 'normal_contains': ['96.a1.a1', '96.b1.a1', '96.c1.a1', '96.g1.a1', '96.f1.a1', '96.e1.a1', '96.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.a1.a1', 'projective_image': '96.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852348
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '48.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1536, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1.a1', '24.b1.a1', '24.h1.a1', '24.h1.b1'], 'contains': ['96.b1.a1', '96.h1.a1', '96.h1.b1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1066, 1704, 3876, 8958, 525, 694, 3984, 8941], 'generators': [2, 384], 'label': '768.56452.48.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.b1.a1', 'normal_contained_in': ['16.b1.a1', '24.b1.a1'], 'normal_contains': ['96.b1.a1', '96.h1.a1', '96.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.b1.a1', 'projective_image': '48.7', 'quotient_action_image': '1.1', 'quotient_action_kernel': '48.7', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '48.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852349
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '48.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1.a1', '24.b1.a1'], 'contains': ['96.b1.a1', '96.i1.a1', '96.i1.b1'], 'core': '48.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1436, 183, 4306, 8085, 1292, 1496, 3680, 8425], 'generators': [102, 384], 'label': '768.56452.48.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.c1.a1', 'normal_contained_in': ['16.c1.a1', '24.b1.a1'], 'normal_contains': ['96.b1.a1', '96.i1.a1', '96.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.c1.a1', 'projective_image': '96.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852350
    {'ambient': '768.56452', 'aut_centralizer_order': 8, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '768.1083459', 'aut_weyl_index': 32, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.b1.a1', '8.h1.a1', '8.k1.a1', '8.l1.a1', '8.l1.b1', '12.d1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1348, -1, 2679, -1, 1707, -1, 4891, -1], 'generators': [1, 192, 4, 96, 128, 384, 2], 'label': '768.56452.4.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.e1.a1', 'projective_image': '48.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.a1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 59852351
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '48.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.d1.a1', '24.c1.a1', '24.d1.a1', '24.d1.b1'], 'contains': ['96.c1.a1', '96.j1.a1', '96.l1.a1'], 'core': '48.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7604, 8951, 8546, 2371, 7731, 9007, 7140, 1738], 'generators': [528, 384], 'label': '768.56452.48.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.d1.a1', 'normal_contained_in': ['16.d1.a1', '24.c1.a1', '24.d1.a1', '24.d1.b1'], 'normal_contains': ['96.c1.a1', '96.l1.a1', '96.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.d1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852352
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '48.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.e1.a1', '24.c1.a1', '24.i1.a1'], 'contains': ['96.c1.a1', '96.k1.a1', '96.m1.a1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7027, 7984, 7275, 1499, 7151, 8606, 7346, 2052], 'generators': [724, 384], 'label': '768.56452.48.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.e1.a1', 'normal_contained_in': ['16.e1.a1', '24.c1.a1'], 'normal_contains': ['96.c1.a1', '96.k1.a1', '96.m1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.e1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852353
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '48.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.f1.a1', '24.c1.a1', '24.e1.a1', '24.e1.b1'], 'contains': ['96.d1.a1', '96.j1.a1', '96.m1.a1'], 'core': '48.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8182, 9493, 7463, 1090, 6862, 9408, 8249, 1424], 'generators': [388, 528], 'label': '768.56452.48.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.f1.a1', 'normal_contained_in': ['16.f1.a1', '24.c1.a1', '24.e1.b1', '24.e1.a1'], 'normal_contains': ['96.d1.a1', '96.j1.a1', '96.m1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.f1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852354
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '48.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.g1.a1', '24.c1.a1', '24.j1.a1'], 'contains': ['96.d1.a1', '96.k1.a1', '96.l1.a1'], 'core': '48.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7315, 7442, 7653, 1935, 8208, 7284, 6760, 2771], 'generators': [388, 144], 'label': '768.56452.48.g1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.g1.a1', 'normal_contained_in': ['16.g1.a1', '24.c1.a1'], 'normal_contains': ['96.d1.a1', '96.k1.a1', '96.l1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.g1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852355
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '48.h1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.h1.a1', '24.b1.a1', '24.k1.a1'], 'contains': ['96.e1.a1', '96.h1.a1', '96.i1.b1'], 'core': '48.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [777, 1162, 2807, 8426, 815, 1095, 4859, 9661], 'generators': [2, 480], 'label': '768.56452.48.h1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.h1.a1', 'normal_contained_in': ['16.h1.a1', '24.b1.a1'], 'normal_contains': ['96.e1.a1', '96.h1.a1', '96.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.h1.a1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852356
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '48.h1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.h1.b1', '24.b1.a1', '24.k1.b1'], 'contains': ['96.e1.a1', '96.h1.b1', '96.i1.a1'], 'core': '48.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [777, 1162, 4940, 7117, 815, 1095, 2826, 8111], 'generators': [386, 480], 'label': '768.56452.48.h1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.h1.b1', 'normal_contained_in': ['16.h1.b1', '24.b1.a1'], 'normal_contains': ['96.e1.a1', '96.h1.b1', '96.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.h1.b1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.2', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.h1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852357
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '48.i1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.i1.a1', '24.a1.a1', '24.f1.a1', '24.g1.a1'], 'contains': ['96.g1.a1', '96.o1.a1'], 'core': '48.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2823, 2280, 4457, 6312, 5081, 5076, 3832, 4999], 'generators': [150, 96], 'label': '768.56452.48.i1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.i1.a1', 'normal_contained_in': ['16.i1.a1', '24.a1.a1', '24.f1.a1', '24.g1.a1'], 'normal_contains': ['96.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.i1.a1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852358
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '48.i1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.i1.b1', '24.a1.a1', '24.f1.b1', '24.g1.b1'], 'contains': ['96.g1.a1', '96.o1.b1'], 'core': '48.i1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2823, 2280, 4570, 4661, 5081, 5076, 4136, 4810], 'generators': [534, 96], 'label': '768.56452.48.i1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.i1.b1', 'normal_contained_in': ['16.i1.b1', '24.a1.a1', '24.f1.b1', '24.g1.b1'], 'normal_contains': ['96.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.i1.b1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.i1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852359
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '48.j1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.j1.a1', '24.b1.a1', '24.f1.b1', '24.g1.a1', '24.l1.a1', '24.l1.b1'], 'contains': ['96.g1.a1', '96.h1.a1', '96.i1.a1'], 'core': '48.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1725, 739, 4064, 6584, 1931, 2863, 5334, 6729], 'generators': [2, 96], 'label': '768.56452.48.j1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.j1.a1', 'normal_contained_in': ['16.j1.a1', '24.b1.a1', '24.f1.b1', '24.g1.a1'], 'normal_contains': ['96.g1.a1', '96.h1.a1', '96.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.j1.a1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.j1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852360
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '48.j1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.j1.b1', '24.b1.a1', '24.f1.a1', '24.g1.b1', '24.l1.c1', '24.l1.d1'], 'contains': ['96.g1.a1', '96.h1.b1', '96.i1.b1'], 'core': '48.j1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1725, 739, 5749, 7458, 1931, 2863, 3244, 7043], 'generators': [386, 96], 'label': '768.56452.48.j1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.j1.b1', 'normal_contained_in': ['16.j1.b1', '24.b1.a1', '24.f1.a1', '24.g1.b1'], 'normal_contains': ['96.g1.a1', '96.h1.b1', '96.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '48.j1.b1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.j1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852361
    {'ambient': '768.56452', 'aut_centralizer_order': 8, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '768.1083459', 'aut_weyl_index': 32, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1'], 'contains': ['8.b1.a1', '8.h1.b1', '8.k1.b1', '8.l1.c1', '8.l1.d1', '12.d1.b1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1348, -1, 5746, -1, 1707, -1, 1906, -1], 'generators': [393, 192, 4, 96, 128, 384, 578], 'label': '768.56452.4.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.b1', 'old_label': '4.e1.b1', 'projective_image': '48.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1.b1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 59852362
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '48.k1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.k1.a1', '24.c1.a1', '24.f1.a1', '24.f1.b1'], 'contains': ['96.g1.a1', '96.j1.a1', '96.k1.a1'], 'core': '48.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5765, 6901, 6147, 3760, 6010, 6363, 5980, 3805], 'generators': [4, 528], 'label': '768.56452.48.k1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.k1.a1', 'normal_contained_in': ['16.k1.a1', '24.c1.a1', '24.f1.b1', '24.f1.a1'], 'normal_contains': ['96.g1.a1', '96.k1.a1', '96.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.k1.a1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.9', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852363
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '48.l1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '8.5', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.l1.a1', '24.c1.a1', '24.g1.a1', '24.g1.b1', '24.m1.a1', '24.n1.a1'], 'contains': ['96.g1.a1', '96.l1.a1', '96.m1.a1'], 'core': '48.l1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7893, 8408, 7087, 4198, 7441, 7685, 6950, 3491], 'generators': [4, 144], 'label': '768.56452.48.l1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.l1.a1', 'normal_contained_in': ['16.l1.a1', '24.c1.a1', '24.g1.b1', '24.g1.a1'], 'normal_contains': ['96.g1.a1', '96.l1.a1', '96.m1.a1'], 'normalizer': '1.a1.a1', 'old_label': '48.l1.a1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.15', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.l1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852364
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '48.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.m1.a1', '24.a1.a1'], 'contains': ['96.a1.a1', '96.n1.a1', '96.n1.b1', '96.n1.c1', '96.n1.d1', '96.o1.a1', '96.o1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5021, -1, 2437, -1, 3620, -1, 1234, -1], 'generators': [534, 192, 384], 'label': '768.56452.48.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.m1.a1', 'projective_image': '192.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.m1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852365
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '48.n1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '16.11', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.n1.a1', '24.a1.a1'], 'contains': ['96.f1.a1', '96.o1.a1', '96.o1.b1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [3495, -1, 2604, -1, 4223, -1, 2094, -1], 'generators': [534, 480], 'label': '768.56452.48.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.n1.a1', 'projective_image': '192.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.n1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852366
    {'ambient': '768.56452', 'aut_centralizer_order': 64, 'aut_label': '48.o1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3072, 'centralizer': '24.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.a1', '24.h1.a1', '24.k1.a1', '24.l1.a1'], 'contains': ['96.h1.a1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [340, -1, 2215, -1, 99, -1, 5177, -1], 'generators': [1], 'label': '768.56452.48.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.o1.a1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.o1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852367
    {'ambient': '768.56452', 'aut_centralizer_order': 64, 'aut_label': '48.o1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3072, 'centralizer': '24.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.b1', '24.h1.a1', '24.k1.a1', '24.l1.b1'], 'contains': ['96.h1.a1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [340, -1, 2093, -1, 99, -1, 5054, -1], 'generators': [385], 'label': '768.56452.48.o1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '48.o1.b1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.o1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852368
    {'ambient': '768.56452', 'aut_centralizer_order': 64, 'aut_label': '48.o1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3072, 'centralizer': '24.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.c1', '24.h1.b1', '24.k1.b1', '24.l1.c1'], 'contains': ['96.h1.b1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [340, -1, 5346, -1, 99, -1, 1976, -1], 'generators': [9], 'label': '768.56452.48.o1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.b1', 'old_label': '48.o1.c1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.o1.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852369
    {'ambient': '768.56452', 'aut_centralizer_order': 64, 'aut_label': '48.o1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3072, 'centralizer': '24.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.o1.d1', '24.h1.b1', '24.k1.b1', '24.l1.d1'], 'contains': ['96.h1.b1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [340, -1, 5593, -1, 99, -1, 1853, -1], 'generators': [393], 'label': '768.56452.48.o1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.b1', 'old_label': '48.o1.d1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.o1.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852370
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '48.p1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.p1.a1', '24.d1.a1', '24.j1.a1', '24.m1.a1'], 'contains': ['96.l1.a1'], 'core': '96.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8588, -1, 9254, -1, 9309, -1, 7970, -1], 'generators': [24], 'label': '768.56452.48.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.p1.a1', 'projective_image': '384.230', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.p1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852371
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '48.p1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.p1.b1', '24.d1.b1', '24.j1.a1', '24.m1.a1'], 'contains': ['96.l1.a1'], 'core': '96.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8588, -1, 9674, -1, 9309, -1, 7706, -1], 'generators': [220], 'label': '768.56452.48.p1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.p1.b1', 'projective_image': '384.230', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.p1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852372
    {'ambient': '768.56452', 'aut_centralizer_order': 48, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '128.2322', 'aut_weyl_index': 192, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.g1.a1', '8.m1.a1', '8.n1.a1', '12.f1.a1'], 'core': '8.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8040, -1, 8540, -1, 7490, -1, 8396, -1], 'generators': [2, 96, 48, 24, 192, 128, 4], 'label': '768.56452.4.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.f1.a1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852373
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '48.q1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.q1.a1', '24.e1.a1', '24.i1.a1', '24.n1.a1'], 'contains': ['96.m1.a1'], 'core': '96.m1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9567, -1, 7953, -1, 8446, -1, 9144, -1], 'generators': [30], 'label': '768.56452.48.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.q1.a1', 'projective_image': '384.230', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.q1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852374
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '48.q1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '8.2', 'aut_weyl_index': 3072, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.q1.b1', '24.e1.b1', '24.i1.a1', '24.n1.a1'], 'contains': ['96.m1.a1'], 'core': '96.m1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9567, -1, 8110, -1, 8446, -1, 9547, -1], 'generators': [414], 'label': '768.56452.48.q1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '48.q1.b1', 'projective_image': '384.230', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.q1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852375
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '64.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'contains': ['128.a1.a1', '128.a1.b1', '128.b1.a1', '192.a1.a1'], 'core': '64.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3742, 5988, 2927, 5838, 2793, 2376, 2708, 6812], 'generators': [192, 384, 128], 'label': '768.56452.64.a1.a1', 'mobius_quo': -2, 'mobius_sub': 0, 'normal_closure': '64.a1.a1', 'normal_contained_in': ['32.a1.a1', '32.b1.a1', '32.c1.a1'], 'normal_contains': ['128.a1.b1', '128.a1.a1', '128.b1.a1', '192.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.a1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.3', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852376
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '64.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.d1.a1', '32.e1.a1'], 'contains': ['128.b1.a1', '128.c1.a1', '192.b1.a1'], 'core': '64.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4031, 5564, 2616, 5401, 3373, 3438, 2518, 6499], 'generators': [676, 192, 128], 'label': '768.56452.64.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.b1.a1', 'normal_contained_in': ['32.a1.a1', '32.e1.a1', '32.d1.a1'], 'normal_contains': ['128.b1.a1', '192.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.b1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.3', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852377
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '64.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.f1.a1', '32.g1.a1', '32.o1.a1', '32.o1.b1'], 'contains': ['128.b1.a1', '128.d1.a1', '192.c1.a1'], 'core': '64.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4724, 4356, 1586, 4869, 3662, 4099, 2214, 5779], 'generators': [292, 192, 128], 'label': '768.56452.64.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.c1.a1', 'normal_contained_in': ['32.a1.a1', '32.g1.a1', '32.f1.a1'], 'normal_contains': ['128.b1.a1', '192.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.c1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.36', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852378
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '64.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '32.d1.a1', '32.f1.a1'], 'contains': ['128.b1.a1', '192.d1.a1'], 'core': '64.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3505, 4822, 3081, 3986, 4365, 3108, 3278, 6240], 'generators': [388, 128, 192], 'label': '768.56452.64.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.d1.a1', 'normal_contained_in': ['32.b1.a1', '32.f1.a1', '32.d1.a1'], 'normal_contains': ['128.b1.a1', '192.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.d1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.3', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852379
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '64.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '32.e1.a1', '32.g1.a1', '32.h1.a1', '32.h1.b1', '32.i1.a1', '32.i1.b1'], 'contains': ['128.b1.a1', '192.e1.a1'], 'core': '64.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2264, 2598, 3413, 9366, 1498, 1644, 3401, 8326], 'generators': [4, 128, 192], 'label': '768.56452.64.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.e1.a1', 'normal_contained_in': ['32.b1.a1', '32.g1.a1', '32.e1.a1', '32.h1.a1', '32.h1.b1', '32.i1.a1', '32.i1.b1'], 'normal_contains': ['128.b1.a1', '192.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.e1.a1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.36', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852380
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '64.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '32.e1.a1', '32.f1.a1'], 'contains': ['128.b1.a1', '192.f1.a1'], 'core': '64.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3318, 5096, 2772, 4302, 4553, 3769, 3155, 6037], 'generators': [480, 128, 192], 'label': '768.56452.64.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.f1.a1', 'normal_contained_in': ['32.c1.a1', '32.f1.a1', '32.e1.a1'], 'normal_contains': ['128.b1.a1', '192.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.f1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.3', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852381
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '64.g1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '32.d1.a1', '32.g1.a1', '32.j1.a1', '32.k1.a1', '32.l1.a1', '32.m1.a1'], 'contains': ['128.b1.a1', '192.g1.a1'], 'core': '64.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6407, 6455, 6565, 3289, 5420, 5563, 5618, 4340], 'generators': [96, 128, 192], 'label': '768.56452.64.g1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.g1.a1', 'normal_contained_in': ['32.c1.a1', '32.g1.a1', '32.d1.a1', '32.k1.a1', '32.l1.a1', '32.j1.a1', '32.m1.a1'], 'normal_contains': ['128.b1.a1', '192.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '64.g1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '32.21', 'quotient_action_kernel_order': 32, 'quotient_fusion': None, 'short_label': '64.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852382
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '64.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.n1.a1', '32.n1.b1'], 'contains': ['128.a1.a1', '128.c1.a1', '128.d1.a1', '192.h1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5416, -1, 1293, -1, 2027, -1, 1645, -1], 'generators': [292, 384, 128], 'label': '768.56452.64.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '64.h1.a1', 'projective_image': '384.78', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.h1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852383
    {'ambient': '768.56452', 'aut_centralizer_order': 48, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '128.2322', 'aut_weyl_index': 192, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.g1.b1', '8.m1.a1', '8.n1.a1', '12.f1.b1'], 'core': '8.g1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8040, -1, 8207, -1, 7490, -1, 7835, -1], 'generators': [386, 96, 48, 24, 192, 128, 4], 'label': '768.56452.4.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '4.f1.b1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852384
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '64.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '32.n1.c1', '32.n1.d1'], 'contains': ['128.a1.b1', '128.c1.a1', '128.d1.a1', '192.h1.b1'], 'core': '128.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5416, -1, 1104, -1, 2027, -1, 1455, -1], 'generators': [292, 576, 128], 'label': '768.56452.64.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '64.h1.b1', 'projective_image': '384.78', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.h1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852385
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '64.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.n1.a1', '32.n1.c1', '32.o1.a1'], 'contains': ['128.d1.a1', '192.i1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5736, -1, 356, -1, 2265, -1, 417, -1], 'generators': [342, 128, 100], 'label': '768.56452.64.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '64.i1.a1', 'projective_image': '768.56452', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852386
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '64.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.n1.a1', '32.n1.d1', '32.o1.b1'], 'contains': ['128.d1.a1', '192.i1.b1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5736, -1, 233, -1, 2265, -1, 919, -1], 'generators': [726, 128, 100], 'label': '768.56452.64.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '64.i1.b1', 'projective_image': '768.56452', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.i1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852387
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '64.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.n1.b1', '32.n1.d1', '32.o1.a1'], 'contains': ['128.d1.a1', '192.i1.c1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5736, -1, 949, -1, 2265, -1, 294, -1], 'generators': [150, 128, 100], 'label': '768.56452.64.i1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '64.i1.c1', 'projective_image': '768.56452', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.i1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852388
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '64.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.n1.b1', '32.n1.c1', '32.o1.b1'], 'contains': ['128.d1.a1', '192.i1.d1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5736, -1, 529, -1, 2265, -1, 171, -1], 'generators': [534, 128, 100], 'label': '768.56452.64.i1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '64.i1.d1', 'projective_image': '768.56452', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.i1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852389
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '96.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1.a1', '48.a1.a1', '48.m1.a1'], 'contains': ['192.a1.a1', '192.b1.a1', '192.c1.a1', '192.h1.a1', '192.h1.b1'], 'core': '96.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4586, 4174, 2738, 6424, 3895, 4421, 2366, 5528], 'generators': [292, 192, 384], 'label': '768.56452.96.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': ['32.a1.a1', '48.a1.a1'], 'normal_contains': ['192.a1.a1', '192.c1.a1', '192.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.a1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852390
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '96.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.b1.a1', '48.a1.a1', '48.b1.a1', '48.c1.a1'], 'contains': ['192.a1.a1', '192.d1.a1', '192.e1.a1'], 'core': '96.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2237, 2327, 3842, 8481, 1737, 1974, 3847, 7735], 'generators': [4, 384], 'label': '768.56452.96.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.b1.a1', 'normal_contained_in': ['32.b1.a1', '48.a1.a1', '48.b1.a1', '48.c1.a1'], 'normal_contains': ['192.a1.a1', '192.e1.a1', '192.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.b1.a1', 'projective_image': '96.25', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.25', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852391
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '96.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1.a1', '48.a1.a1', '48.d1.a1', '48.e1.a1'], 'contains': ['192.a1.a1', '192.f1.a1', '192.g1.a1'], 'core': '96.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5960, 6259, 6247, 3448, 5948, 6295, 5964, 3768], 'generators': [96, 384], 'label': '768.56452.96.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.c1.a1', 'normal_contained_in': ['32.c1.a1', '48.a1.a1', '48.e1.a1', '48.d1.a1'], 'normal_contains': ['192.a1.a1', '192.f1.a1', '192.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.c1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.20', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852392
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '96.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.d1.a1', '48.a1.a1', '48.f1.a1', '48.g1.a1'], 'contains': ['192.b1.a1', '192.d1.a1', '192.g1.a1'], 'core': '96.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6483, 4888, 6435, 2788, 5658, 5894, 5775, 4081], 'generators': [388, 96], 'label': '768.56452.96.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.d1.a1', 'normal_contained_in': ['32.d1.a1', '48.a1.a1', '48.g1.a1', '48.f1.a1'], 'normal_contains': ['192.b1.a1', '192.d1.a1', '192.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.d1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.20', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852393
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '96.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.e1.a1', '48.a1.a1', '48.h1.a1', '48.h1.b1'], 'contains': ['192.b1.a1', '192.e1.a1', '192.f1.a1'], 'core': '96.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2526, 3717, 3584, 7117, 3083, 2777, 3557, 7389], 'generators': [4, 480], 'label': '768.56452.96.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.e1.a1', 'normal_contained_in': ['32.e1.a1', '48.a1.a1', '48.h1.a1', '48.h1.b1'], 'normal_contains': ['192.b1.a1', '192.e1.a1', '192.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.e1.a1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852394
    {'ambient': '768.56452', 'aut_centralizer_order': 8, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '768.1083369', 'aut_weyl_index': 32, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1'], 'contains': ['8.g1.a1', '8.l1.a1', '8.l1.b1', '12.g1.a1'], 'core': '8.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [2661, -1, 2421, -1, 3351, -1, 5796, -1], 'generators': [1, 192, 4, 144, 128, 2, 96], 'label': '768.56452.4.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '4.g1.a1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.a1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 59852395
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '96.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.f1.a1', '48.a1.a1', '48.n1.a1'], 'contains': ['192.c1.a1', '192.d1.a1', '192.f1.a1'], 'core': '96.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3184, 3293, 2941, 5108, 4791, 4742, 2999, 5276], 'generators': [388, 672], 'label': '768.56452.96.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.f1.a1', 'normal_contained_in': ['32.f1.a1', '48.a1.a1'], 'normal_contains': ['192.c1.a1', '192.d1.a1', '192.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.f1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852396
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '96.g1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.g1.a1', '48.a1.a1', '48.i1.a1', '48.i1.b1', '48.j1.a1', '48.j1.b1', '48.k1.a1', '48.l1.a1'], 'contains': ['192.c1.a1', '192.e1.a1', '192.g1.a1'], 'core': '96.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2895, 2869, 4606, 6151, 5081, 5144, 4308, 4963], 'generators': [4, 96], 'label': '768.56452.96.g1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.g1.a1', 'normal_contained_in': ['32.g1.a1', '48.a1.a1', '48.i1.b1', '48.i1.a1', '48.j1.a1', '48.j1.b1', '48.k1.a1', '48.l1.a1'], 'normal_contains': ['192.c1.a1', '192.e1.a1', '192.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.g1.a1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.44', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852397
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '96.h1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.h1.a1', '48.b1.a1', '48.h1.a1', '48.j1.a1', '48.o1.a1', '48.o1.b1'], 'contains': ['192.e1.a1'], 'core': '96.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [938, 1433, 2285, 8863, 670, 1095, 4859, 8941], 'generators': [2], 'label': '768.56452.96.h1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.h1.a1', 'normal_contained_in': ['32.h1.a1', '48.b1.a1', '48.j1.a1', '48.h1.a1'], 'normal_contains': ['192.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.h1.a1', 'projective_image': '96.28', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.28', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.h1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852415
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '128.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.b1.a1', '64.h1.a1', '64.h1.b1'], 'contains': ['256.a1.a1', '384.c1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4779, -1, 1317, -1, 2921, -1, 1677, -1], 'generators': [676, 128], 'label': '768.56452.128.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '128.c1.a1', 'projective_image': '768.56452', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852398
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '96.h1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.h1.b1', '48.b1.a1', '48.h1.b1', '48.j1.b1', '48.o1.c1', '48.o1.d1'], 'contains': ['192.e1.a1'], 'core': '96.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [938, 1433, 5060, 8040, 670, 1095, 2853, 8141], 'generators': [386], 'label': '768.56452.96.h1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.h1.b1', 'normal_contained_in': ['32.h1.b1', '48.b1.a1', '48.j1.b1', '48.h1.b1'], 'normal_contains': ['192.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.h1.b1', 'projective_image': '96.28', 'quotient_action_image': '1.1', 'quotient_action_kernel': '96.28', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '96.h1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852399
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '96.i1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.i1.a1', '48.c1.a1', '48.h1.b1', '48.j1.a1'], 'contains': ['192.e1.a1'], 'core': '96.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1725, 739, 4133, 7859, 1292, 1408, 3702, 7975], 'generators': [102], 'label': '768.56452.96.i1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.i1.a1', 'normal_contained_in': ['32.i1.a1', '48.c1.a1', '48.j1.a1', '48.h1.b1'], 'normal_contains': ['192.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.i1.a1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852400
    {'ambient': '768.56452', 'aut_centralizer_order': 3072, 'aut_label': '96.i1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.i1.b1', '48.c1.a1', '48.h1.a1', '48.j1.b1'], 'contains': ['192.e1.a1'], 'core': '96.i1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1725, 739, 3986, 8220, 1292, 1408, 3992, 8510], 'generators': [486], 'label': '768.56452.96.i1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.i1.b1', 'normal_contained_in': ['32.i1.b1', '48.c1.a1', '48.j1.b1', '48.h1.a1'], 'normal_contains': ['192.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.i1.b1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.23', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.i1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852401
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '96.j1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.j1.a1', '48.d1.a1', '48.f1.a1', '48.k1.a1'], 'contains': ['192.g1.a1'], 'core': '96.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6863, 8393, 6810, 2527, 6248, 8015, 6432, 2310], 'generators': [528], 'label': '768.56452.96.j1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.j1.a1', 'normal_contained_in': ['32.j1.a1', '48.d1.a1', '48.k1.a1', '48.f1.a1'], 'normal_contains': ['192.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.j1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.20', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.j1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852402
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '96.k1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.k1.a1', '48.e1.a1', '48.g1.a1', '48.k1.a1'], 'contains': ['192.g1.a1'], 'core': '96.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6262, 7156, 6653, 2154, 6436, 6693, 6213, 3233], 'generators': [724], 'label': '768.56452.96.k1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.k1.a1', 'normal_contained_in': ['32.k1.a1', '48.e1.a1', '48.k1.a1', '48.g1.a1'], 'normal_contains': ['192.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.k1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.20', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852403
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '96.l1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.l1.a1', '48.d1.a1', '48.g1.a1', '48.l1.a1', '48.p1.a1', '48.p1.b1'], 'contains': ['192.g1.a1'], 'core': '96.l1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7441, 7984, 8425, 3049, 7850, 7284, 6950, 3030], 'generators': [144], 'label': '768.56452.96.l1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.l1.a1', 'normal_contained_in': ['32.l1.a1', '48.d1.a1', '48.l1.a1', '48.g1.a1'], 'normal_contains': ['192.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.l1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.44', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.l1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852404
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '96.m1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.m1.a1', '48.e1.a1', '48.f1.a1', '48.l1.a1', '48.q1.a1', '48.q1.b1'], 'contains': ['192.g1.a1'], 'core': '96.m1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8030, 8867, 7275, 1717, 7007, 8275, 8093, 2513], 'generators': [340], 'label': '768.56452.96.m1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.m1.a1', 'normal_contained_in': ['32.m1.a1', '48.e1.a1', '48.l1.a1', '48.f1.a1'], 'normal_contains': ['192.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '96.m1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.44', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.m1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852405
    {'ambient': '768.56452', 'aut_centralizer_order': 8, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '768.1083369', 'aut_weyl_index': 32, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1'], 'contains': ['8.g1.b1', '8.l1.c1', '8.l1.d1', '12.g1.b1'], 'core': '8.g1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [2661, -1, 6168, -1, 3351, -1, 2410, -1], 'generators': [393, 192, 4, 144, 128, 578, 96], 'label': '768.56452.4.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.b1', 'old_label': '4.g1.b1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1.b1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 59852406
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '96.n1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.n1.a1', '48.m1.a1'], 'contains': ['192.h1.a1', '192.i1.a1', '192.i1.b1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5591, -1, 911, -1, 2504, -1, 1265, -1], 'generators': [726, 384], 'label': '768.56452.96.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.n1.a1', 'projective_image': '384.78', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.n1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852407
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '96.n1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.n1.b1', '48.m1.a1'], 'contains': ['192.h1.a1', '192.i1.c1', '192.i1.d1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5591, -1, 1742, -1, 2504, -1, 763, -1], 'generators': [534, 384], 'label': '768.56452.96.n1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.n1.b1', 'projective_image': '384.78', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.n1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852408
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '96.n1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.n1.c1', '48.m1.a1'], 'contains': ['192.h1.b1', '192.i1.a1', '192.i1.d1'], 'core': '384.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5591, -1, 1366, -1, 2504, -1, 573, -1], 'generators': [534, 576], 'label': '768.56452.96.n1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.n1.c1', 'projective_image': '384.78', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.n1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852409
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '96.n1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.n1.d1', '48.m1.a1'], 'contains': ['192.h1.b1', '192.i1.b1', '192.i1.c1'], 'core': '384.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5591, -1, 1554, -1, 2504, -1, 1075, -1], 'generators': [150, 576], 'label': '768.56452.96.n1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.n1.d1', 'projective_image': '384.78', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.n1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852410
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '96.o1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.o1.a1', '48.i1.a1', '48.m1.a1', '48.n1.a1'], 'contains': ['192.c1.a1', '192.i1.a1', '192.i1.c1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4818, -1, 2482, -1, 4127, -1, 1835, -1], 'generators': [150, 192], 'label': '768.56452.96.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.o1.a1', 'projective_image': '384.230', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.o1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852411
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '96.o1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 6144, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.o1.b1', '48.i1.b1', '48.m1.a1', '48.n1.a1'], 'contains': ['192.c1.a1', '192.i1.b1', '192.i1.d1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4818, -1, 2089, -1, 4127, -1, 2024, -1], 'generators': [534, 192], 'label': '768.56452.96.o1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '96.o1.b1', 'projective_image': '384.230', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.o1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852412
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '128.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.h1.a1'], 'contains': ['256.a1.a1', '384.a1.a1'], 'core': '128.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4125, 7143, 1944, 5714, 2768, 3149, 1878, 6614], 'generators': [384, 128], 'label': '768.56452.128.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '128.a1.a1', 'normal_contained_in': ['64.a1.a1'], 'normal_contains': ['256.a1.a1', '384.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.a1.a1', 'projective_image': '384.78', 'quotient_action_image': '2.1', 'quotient_action_kernel': '64.26', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '128.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852413
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '128.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.h1.b1'], 'contains': ['256.a1.a1', '384.a1.b1'], 'core': '128.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4125, 7143, 2043, 5437, 2768, 3149, 1777, 6780], 'generators': [576, 128], 'label': '768.56452.128.a1.b1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '128.a1.b1', 'normal_contained_in': ['64.a1.a1'], 'normal_contains': ['256.a1.a1', '384.a1.b1'], 'normalizer': '1.a1.a1', 'old_label': '128.a1.b1', 'projective_image': '384.78', 'quotient_action_image': '2.1', 'quotient_action_kernel': '64.26', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '128.a1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852414
    {'ambient': '768.56452', 'aut_centralizer_order': 12288, 'aut_label': '128.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '64.b1.a1', '64.c1.a1', '64.d1.a1', '64.e1.a1', '64.f1.a1', '64.g1.a1'], 'contains': ['256.a1.a1', '384.b1.a1'], 'core': '128.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3809, 5514, 3191, 4699, 3556, 3361, 2708, 6448], 'generators': [192, 128], 'label': '768.56452.128.b1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '128.b1.a1', 'normal_contained_in': ['64.a1.a1', '64.c1.a1', '64.b1.a1', '64.e1.a1', '64.d1.a1', '64.f1.a1', '64.g1.a1'], 'normal_contains': ['256.a1.a1', '384.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '128.b1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '64.83', 'quotient_action_kernel_order': 64, 'quotient_fusion': None, 'short_label': '128.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852416
    {'ambient': '768.56452', 'aut_centralizer_order': 96, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '256.55647', 'aut_weyl_index': 96, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1', '12.f1.a1', '12.f1.b1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8332, 8443, 8556, 1654, 7918, 8069, 8115, 1819], 'generators': [2, 24, 384], 'label': '768.56452.6.a1.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '6.a1.a1', 'projective_image': '48.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852417
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '128.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.c1.a1', '64.h1.a1', '64.h1.b1', '64.i1.a1', '64.i1.b1', '64.i1.c1', '64.i1.d1'], 'contains': ['256.a1.a1', '384.d1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5117, -1, 685, -1, 3075, -1, 1147, -1], 'generators': [292, 128], 'label': '768.56452.128.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '128.d1.a1', 'projective_image': '768.56452', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852418
    {'ambient': '768.56452', 'aut_centralizer_order': 12288, 'aut_label': '192.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1'], 'contains': ['384.a1.a1', '384.a1.b1', '384.b1.a1'], 'core': '192.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3936, 5944, 3249, 5818, 3720, 3589, 2930, 6270], 'generators': [192, 384], 'label': '768.56452.192.a1.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '192.a1.a1', 'normal_contained_in': ['64.a1.a1', '96.a1.a1', '96.b1.a1', '96.c1.a1'], 'normal_contains': ['384.a1.b1', '384.a1.a1', '384.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.a1.a1', 'projective_image': '192.17', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.17', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852419
    {'ambient': '768.56452', 'aut_centralizer_order': 12288, 'aut_label': '192.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.b1.a1', '96.a1.a1', '96.d1.a1', '96.e1.a1'], 'contains': ['384.b1.a1', '384.c1.a1'], 'core': '192.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4539, 5041, 3019, 6344, 3895, 4043, 2816, 6081], 'generators': [676, 192], 'label': '768.56452.192.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.b1.a1', 'normal_contained_in': ['64.b1.a1', '96.a1.a1', '96.e1.a1', '96.d1.a1'], 'normal_contains': ['384.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.b1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '96.46', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '192.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852420
    {'ambient': '768.56452', 'aut_centralizer_order': 12288, 'aut_label': '192.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.c1.a1', '96.a1.a1', '96.f1.a1', '96.g1.a1', '96.o1.a1', '96.o1.b1'], 'contains': ['384.b1.a1', '384.d1.a1'], 'core': '192.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4365, 3620, 2569, 6139, 4069, 4498, 2290, 5528], 'generators': [292, 192], 'label': '768.56452.192.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.c1.a1', 'normal_contained_in': ['64.c1.a1', '96.a1.a1', '96.g1.a1', '96.f1.a1'], 'normal_contains': ['384.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.c1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '96.176', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '192.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852421
    {'ambient': '768.56452', 'aut_centralizer_order': 12288, 'aut_label': '192.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.d1.a1', '96.b1.a1', '96.d1.a1', '96.f1.a1'], 'contains': ['384.b1.a1'], 'core': '192.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3530, 4212, 3455, 4832, 4365, 3816, 3278, 5904], 'generators': [388], 'label': '768.56452.192.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.d1.a1', 'normal_contained_in': ['64.d1.a1', '96.b1.a1', '96.f1.a1', '96.d1.a1'], 'normal_contains': ['384.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.d1.a1', 'projective_image': '192.17', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.17', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852422
    {'ambient': '768.56452', 'aut_centralizer_order': 12288, 'aut_label': '192.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.e1.a1', '96.b1.a1', '96.e1.a1', '96.g1.a1', '96.h1.a1', '96.h1.b1', '96.i1.a1', '96.i1.b1'], 'contains': ['384.b1.a1'], 'core': '192.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2237, 2598, 3862, 8040, 1737, 1974, 3702, 7975], 'generators': [4], 'label': '768.56452.192.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.e1.a1', 'normal_contained_in': ['64.e1.a1', '96.b1.a1', '96.g1.a1', '96.e1.a1', '96.h1.a1', '96.h1.b1', '96.i1.a1', '96.i1.b1'], 'normal_contains': ['384.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.e1.a1', 'projective_image': '192.110', 'quotient_action_image': '1.1', 'quotient_action_kernel': '192.110', 'quotient_action_kernel_order': 192, 'quotient_fusion': None, 'short_label': '192.e1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852423
    {'ambient': '768.56452', 'aut_centralizer_order': 12288, 'aut_label': '192.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.f1.a1', '96.c1.a1', '96.e1.a1', '96.f1.a1'], 'contains': ['384.b1.a1'], 'core': '192.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3289, 4801, 3356, 5012, 4553, 4270, 3155, 5738], 'generators': [480], 'label': '768.56452.192.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.f1.a1', 'normal_contained_in': ['64.f1.a1', '96.c1.a1', '96.f1.a1', '96.e1.a1'], 'normal_contains': ['384.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.f1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '96.46', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '192.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852424
    {'ambient': '768.56452', 'aut_centralizer_order': 12288, 'aut_label': '192.g1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.g1.a1', '96.c1.a1', '96.d1.a1', '96.g1.a1', '96.j1.a1', '96.k1.a1', '96.l1.a1', '96.m1.a1'], 'contains': ['384.b1.a1'], 'core': '192.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6262, 6328, 6565, 3049, 5948, 6295, 5964, 3768], 'generators': [96], 'label': '768.56452.192.g1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.g1.a1', 'normal_contained_in': ['64.g1.a1', '96.c1.a1', '96.g1.a1', '96.d1.a1', '96.k1.a1', '96.l1.a1', '96.j1.a1', '96.m1.a1'], 'normal_contains': ['384.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '192.g1.a1', 'projective_image': '384.230', 'quotient_action_image': '2.1', 'quotient_action_kernel': '96.161', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '192.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852425
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '192.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 24576, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.h1.a1', '96.a1.a1', '96.n1.a1', '96.n1.b1'], 'contains': ['384.a1.a1', '384.c1.a1', '384.d1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4990, -1, 1402, -1, 3239, -1, 1569, -1], 'generators': [292, 384], 'label': '768.56452.192.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '192.h1.a1', 'projective_image': '384.78', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.h1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852426
    {'ambient': '768.56452', 'aut_centralizer_order': 6144, 'aut_label': '192.h1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1.1', 'aut_weyl_index': 24576, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.h1.b1', '96.a1.a1', '96.n1.c1', '96.n1.d1'], 'contains': ['384.a1.b1', '384.c1.a1', '384.d1.a1'], 'core': '384.a1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [4990, -1, 1516, -1, 3239, -1, 1455, -1], 'generators': [292, 576], 'label': '768.56452.192.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '192.h1.b1', 'projective_image': '384.78', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.h1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852427
    {'ambient': '768.56452', 'aut_centralizer_order': 48, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '512.10493086', 'aut_weyl_index': 48, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '4.f1.a1', '4.f1.b1', '6.a1.a1'], 'core': '2.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7706, 7580, 8207, 2482, 7305, 7446, 7835, 2368], 'generators': [2, 4, 48, 24, 128, 192, 96, 384], 'label': '768.56452.2.a1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.b1.a1', '4.c1.a1', '6.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '2.a1.a1', 'projective_image': '48.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852428
    {'ambient': '768.56452', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.10494191', 'aut_weyl_index': 48, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.a1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.d1.a1', '12.e1.c1', '12.e1.d1', '12.g1.a1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2428, -1, 4577, -1, 3656, -1, 5596, -1], 'generators': [1, 528, 384], 'label': '768.56452.6.b1.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.a1', 'projective_image': '48.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.a1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
  • id: 59852429
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '192.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.i1.a1', '96.n1.a1', '96.n1.c1', '96.o1.a1'], 'contains': ['384.d1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5550, -1, 978, -1, 3403, -1, 1247, -1], 'generators': [342], 'label': '768.56452.192.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '192.i1.a1', 'projective_image': '768.56452', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852430
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '192.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.i1.b1', '96.n1.a1', '96.n1.d1', '96.o1.b1'], 'contains': ['384.d1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5550, -1, 1083, -1, 3403, -1, 1348, -1], 'generators': [726], 'label': '768.56452.192.i1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '192.i1.b1', 'projective_image': '768.56452', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.i1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852431
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '192.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.i1.c1', '96.n1.b1', '96.n1.d1', '96.o1.a1'], 'contains': ['384.d1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5550, -1, 1774, -1, 3403, -1, 1046, -1], 'generators': [150], 'label': '768.56452.192.i1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.i1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '192.i1.c1', 'projective_image': '768.56452', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.i1.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852432
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '192.i1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.i1.d1', '96.n1.b1', '96.n1.c1', '96.o1.b1'], 'contains': ['384.d1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5550, -1, 1675, -1, 3403, -1, 763, -1], 'generators': [534], 'label': '768.56452.192.i1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.i1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '192.i1.d1', 'projective_image': '768.56452', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.i1.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852433
    {'ambient': '768.56452', 'aut_centralizer_order': 12288, 'aut_label': '256.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 12288, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.a1.a1', '128.a1.b1', '128.b1.a1', '128.c1.a1', '128.d1.a1'], 'contains': ['768.a1.a1'], 'core': '256.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4341, 6670, 1851, 5203, 2943, 3361, 1677, 6609], 'generators': [128], 'label': '768.56452.256.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '256.a1.a1', 'normal_contained_in': ['128.a1.b1', '128.a1.a1', '128.b1.a1'], 'normal_contains': ['768.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '256.a1.a1', 'projective_image': '768.56452', 'quotient_action_image': '2.1', 'quotient_action_kernel': '128.837', 'quotient_action_kernel_order': 128, 'quotient_fusion': None, 'short_label': '256.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852434
    {'ambient': '768.56452', 'aut_centralizer_order': 12288, 'aut_label': '384.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 24576, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.a1.a1', '192.a1.a1', '192.h1.a1'], 'contains': ['768.a1.a1'], 'core': '384.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4184, 6159, 1938, 5913, 3096, 3583, 1878, 6273], 'generators': [384], 'label': '768.56452.384.a1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '384.a1.a1', 'normal_contained_in': ['128.a1.a1', '192.a1.a1'], 'normal_contains': ['768.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '384.a1.a1', 'projective_image': '384.78', 'quotient_action_image': '1.1', 'quotient_action_kernel': '384.78', 'quotient_action_kernel_order': 384, 'quotient_fusion': None, 'short_label': '384.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852435
    {'ambient': '768.56452', 'aut_centralizer_order': 12288, 'aut_label': '384.a1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 24576, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.a1.b1', '192.a1.a1', '192.h1.b1'], 'contains': ['768.a1.a1'], 'core': '384.a1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [4184, 6159, 2038, 5527, 3096, 3583, 1777, 6439], 'generators': [576], 'label': '768.56452.384.a1.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '384.a1.b1', 'normal_contained_in': ['128.a1.b1', '192.a1.a1'], 'normal_contains': ['768.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '384.a1.b1', 'projective_image': '384.78', 'quotient_action_image': '1.1', 'quotient_action_kernel': '384.78', 'quotient_action_kernel_order': 384, 'quotient_fusion': None, 'short_label': '384.a1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852436
    {'ambient': '768.56452', 'aut_centralizer_order': 24576, 'aut_label': '384.b1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 24576, 'centralizer': '1.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.b1.a1', '192.a1.a1', '192.b1.a1', '192.c1.a1', '192.d1.a1', '192.e1.a1', '192.f1.a1', '192.g1.a1'], 'contains': ['768.a1.a1'], 'core': '384.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3902, 5041, 3271, 5250, 3895, 3816, 2930, 6081], 'generators': [192], 'label': '768.56452.384.b1.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '384.b1.a1', 'normal_contained_in': ['128.b1.a1', '192.a1.a1', '192.c1.a1', '192.b1.a1', '192.e1.a1', '192.d1.a1', '192.f1.a1', '192.g1.a1'], 'normal_contains': ['768.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '384.b1.a1', 'projective_image': '384.230', 'quotient_action_image': '1.1', 'quotient_action_kernel': '384.230', 'quotient_action_kernel_order': 384, 'quotient_fusion': None, 'short_label': '384.b1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852437
    {'ambient': '768.56452', 'aut_centralizer_order': 12288, 'aut_label': '384.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 24576, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.c1.a1', '192.b1.a1', '192.h1.a1', '192.h1.b1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4660, -1, 1516, -1, 3249, -1, 1576, -1], 'generators': [676], 'label': '768.56452.384.c1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '192.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '384.c1.a1', 'projective_image': '768.56452', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.c1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852438
    {'ambient': '768.56452', 'aut_centralizer_order': 12288, 'aut_label': '384.d1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '1.1', 'aut_weyl_index': 24576, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.d1.a1', '192.c1.a1', '192.h1.a1', '192.h1.b1', '192.i1.a1', '192.i1.b1', '192.i1.c1', '192.i1.d1'], 'contains': ['768.a1.a1'], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4990, -1, 1281, -1, 3403, -1, 1348, -1], 'generators': [292], 'label': '768.56452.384.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '192.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '384.d1.a1', 'projective_image': '768.56452', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.d1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852439
    {'ambient': '768.56452', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '512.10494191', 'aut_weyl_index': 48, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1', '3.a1.a1'], 'contains': ['12.a1.a1', '12.d1.b1', '12.e1.a1', '12.e1.b1', '12.g1.b1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2428, -1, 6522, -1, 3656, -1, 2609, -1], 'generators': [393, 528, 384], 'label': '768.56452.6.b1.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '6.b1.b1', 'projective_image': '48.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1.b1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
  • id: 59852440
    {'ambient': '768.56452', 'aut_centralizer_order': None, 'aut_label': '768.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1.a1', 'complements': ['1.a1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['256.a1.a1', '384.a1.a1', '384.a1.b1', '384.b1.a1', '384.c1.a1', '384.d1.a1'], 'contains': [], 'core': '768.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4341, 6159, 1891, 5458, 3249, 3583, 1727, 6356], 'generators': [], 'label': '768.56452.768.a1.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '768.a1.a1', 'normal_contained_in': ['256.a1.a1', '384.a1.b1', '384.a1.a1', '384.b1.a1'], 'normal_contains': [], 'normalizer': '1.a1.a1', 'old_label': '768.a1.a1', 'projective_image': '768.56452', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.a1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852441
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '8.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '64.261', 'aut_weyl_index': 384, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1'], 'contains': ['16.a1.a1', '16.i1.a1', '16.i1.b1', '16.m1.a1', '16.n1.a1', '24.a1.a1'], 'core': '8.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3897, 3816, 2648, 5772, 3679, 4206, 3089, 5908], 'generators': [534, 192, 100, 96, 384, 128], 'label': '768.56452.8.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '16.i1.b1', '16.i1.a1', '24.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.a1.a1', 'projective_image': '96.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852442
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '8.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.261', 'aut_weyl_index': 384, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.e1.a1', '4.e1.b1'], 'contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.h1.a1', '16.h1.b1', '16.j1.a1', '16.j1.b1', '24.b1.a1'], 'core': '8.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1929, 1717, 3973, 7756, 2352, 2390, 3543, 7827], 'generators': [2, 192, 4, 96, 384, 128], 'label': '768.56452.8.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.a1.a1', '16.b1.a1', '16.c1.a1', '16.j1.a1', '16.j1.b1', '16.h1.a1', '16.h1.b1', '24.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.b1.a1', 'projective_image': '48.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852443
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '8.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '32.51', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'contains': ['16.a1.a1', '16.d1.a1', '16.e1.a1', '16.f1.a1', '16.g1.a1', '16.k1.a1', '16.l1.a1', '24.c1.a1'], 'core': '8.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6739, 7037, 7189, 2700, 6355, 7121, 6908, 2831], 'generators': [4, 192, 288, 528, 384, 128], 'label': '768.56452.8.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.c1.a1', 'normal_contained_in': ['4.a1.a1', '4.b1.a1', '4.c1.a1'], 'normal_contains': ['16.a1.a1', '16.e1.a1', '16.d1.a1', '16.k1.a1', '16.l1.a1', '16.g1.a1', '16.f1.a1', '24.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.c1.a1', 'projective_image': '96.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852444
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '8.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.d1.a1', '16.p1.a1', '24.d1.a1'], 'core': '8.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7483, 7580, 9166, 2264, 9320, 7635, 7607, 2430], 'generators': [24, 192, 96, 384, 128, 48], 'label': '768.56452.8.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.d1.a1', '24.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852445
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '8.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.d1.a1', '16.p1.b1', '24.d1.b1'], 'core': '8.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7483, 7580, 9724, 3137, 9320, 7635, 7152, 2054], 'generators': [220, 192, 96, 384, 128, 240], 'label': '768.56452.8.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': ['4.b1.a1'], 'normal_contains': ['16.d1.a1', '24.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.d1.b1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852446
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '8.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1'], 'contains': ['16.f1.a1', '16.q1.a1', '24.e1.a1'], 'core': '8.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9773, 9187, 7430, 1195, 6795, 9205, 9007, 407], 'generators': [30, 192, 288, 432, 128, 244], 'label': '768.56452.8.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': ['4.c1.a1'], 'normal_contains': ['16.f1.a1', '24.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852447
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '8.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '32.45', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1'], 'contains': ['16.f1.a1', '16.q1.b1', '24.e1.b1'], 'core': '8.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9773, 9187, 7880, 594, 6795, 9205, 9722, 1210], 'generators': [414, 192, 288, 432, 128, 244], 'label': '768.56452.8.e1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': ['4.c1.a1'], 'normal_contains': ['16.f1.a1', '24.e1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.e1.b1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852499
    {'ambient': '768.56452', 'aut_centralizer_order': 32, 'aut_label': '16.o1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '48.35', 'aut_weyl_index': 512, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.k1.a1', '8.l1.a1'], 'contains': ['32.h1.a1', '48.o1.a1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [200, -1, 1222, -1, 108, -1, 4772, -1], 'generators': [1, 128, 2, 4, 192], 'label': '768.56452.16.o1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '16.o1.a1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.o1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 59852448
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '8.f1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.51', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.a1', '4.d1.b1'], 'contains': ['16.i1.a1', '16.j1.b1', '16.k1.a1', '24.f1.a1'], 'core': '8.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2940, 2268, 4744, 6685, 4108, 4799, 2809, 6372], 'generators': [386, 192, 288, 528, 128, 4], 'label': '768.56452.8.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1.a1', 'normal_contained_in': ['4.a1.a1', '4.d1.a1', '4.d1.b1'], 'normal_contains': ['16.i1.a1', '16.j1.b1', '16.k1.a1', '24.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.f1.a1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852449
    {'ambient': '768.56452', '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': '48.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.c1', '4.d1.d1', '4.e1.a1', '4.g1.a1', '6.b1.a1'], 'core': '2.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2488, 3122, 4173, 4869, 3505, 5327, 5265, 5458], 'generators': [1, 96, 4, 528, 2, 128, 192, 384], 'label': '768.56452.2.b1.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.a1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.d1.d1', '4.d1.c1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.a1', 'projective_image': '48.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.a1', 'subgroup_fusion': None, 'weyl_group': '48.7'}
  • id: 59852450
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '8.f1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.51', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.d1.c1', '4.d1.d1'], 'contains': ['16.i1.b1', '16.j1.a1', '16.k1.a1', '24.f1.b1'], 'core': '8.f1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2940, 2268, 3506, 4761, 4108, 4799, 4830, 5445], 'generators': [2, 192, 288, 528, 128, 4], 'label': '768.56452.8.f1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.f1.b1', 'normal_contained_in': ['4.a1.a1', '4.d1.d1', '4.d1.c1'], 'normal_contains': ['16.i1.b1', '16.j1.a1', '16.k1.a1', '24.f1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.f1.b1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.1', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.f1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852451
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '8.g1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.51', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.f1.a1', '4.g1.a1'], 'contains': ['16.i1.a1', '16.j1.a1', '16.l1.a1', '24.g1.a1'], 'core': '8.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3369, 2775, 3732, 6277, 4455, 5280, 6250, 4693], 'generators': [2, 192, 288, 144, 128, 4], 'label': '768.56452.8.g1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.g1.a1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.i1.a1', '16.j1.a1', '16.l1.a1', '24.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '8.g1.a1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852452
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '8.g1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '32.51', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '4.f1.b1', '4.g1.b1'], 'contains': ['16.i1.b1', '16.j1.b1', '16.l1.a1', '24.g1.b1'], 'core': '8.g1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3369, 2775, 6190, 5269, 4455, 5280, 3786, 5069], 'generators': [386, 192, 288, 144, 128, 4], 'label': '768.56452.8.g1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.g1.b1', 'normal_contained_in': ['4.a1.a1'], 'normal_contains': ['16.i1.b1', '16.j1.b1', '16.l1.a1', '24.g1.b1'], 'normalizer': '1.a1.a1', 'old_label': '8.g1.b1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '8.g1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852453
    {'ambient': '768.56452', 'aut_centralizer_order': 16, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '192.1520', 'aut_weyl_index': 128, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1'], 'contains': ['16.b1.a1', '16.o1.a1', '16.o1.b1', '24.h1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [720, -1, 2102, -1, 614, -1, 4036, -1], 'generators': [1, 128, 192, 384, 2, 4], 'label': '768.56452.8.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '8.h1.a1', 'projective_image': '48.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 59852454
    {'ambient': '768.56452', 'aut_centralizer_order': 16, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '192.1520', 'aut_weyl_index': 128, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.b1'], 'contains': ['16.b1.a1', '16.o1.c1', '16.o1.d1', '24.h1.b1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [720, -1, 5485, -1, 614, -1, 1367, -1], 'generators': [393, 128, 192, 384, 578, 4], 'label': '768.56452.8.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.b1', 'old_label': '8.h1.b1', 'projective_image': '48.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 59852455
    {'ambient': '768.56452', 'aut_centralizer_order': 192, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '64.263', 'aut_weyl_index': 384, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1'], 'contains': ['16.e1.a1', '16.q1.a1', '16.q1.b1', '24.i1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8987, -1, 7655, -1, 7143, -1, 9493, -1], 'generators': [30, 192, 288, 384, 128, 244], 'label': '768.56452.8.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.i1.a1', 'projective_image': '192.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852456
    {'ambient': '768.56452', 'aut_centralizer_order': 192, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '64.263', 'aut_weyl_index': 384, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1'], 'contains': ['16.g1.a1', '16.p1.a1', '16.p1.b1', '24.j1.a1'], 'core': '16.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7137, -1, 9498, -1, 9667, -1, 7380, -1], 'generators': [388, 192, 96, 24, 128, 48], 'label': '768.56452.8.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.j1.a1', 'projective_image': '192.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852457
    {'ambient': '768.56452', 'aut_centralizer_order': 16, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '192.1520', 'aut_weyl_index': 128, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1'], 'contains': ['16.h1.a1', '16.o1.a1', '16.o1.b1', '24.k1.a1'], 'core': '16.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [206, -1, 2360, -1, 1064, -1, 4591, -1], 'generators': [1, 128, 192, 480, 2, 4], 'label': '768.56452.8.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '8.k1.a1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1.a1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 59852458
    {'ambient': '768.56452', 'aut_centralizer_order': 16, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '192.1520', 'aut_weyl_index': 128, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.b1'], 'contains': ['16.h1.b1', '16.o1.c1', '16.o1.d1', '24.k1.b1'], 'core': '16.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [206, -1, 5227, -1, 1064, -1, 1034, -1], 'generators': [393, 128, 192, 480, 578, 4], 'label': '768.56452.8.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.b1', 'old_label': '8.k1.b1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 59852459
    {'ambient': '768.56452', 'aut_centralizer_order': 16, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '192.1520', 'aut_weyl_index': 128, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.c1', '4.e1.a1', '4.g1.a1'], 'contains': ['16.j1.a1', '16.o1.a1', '24.l1.a1'], 'core': '16.j1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1464, -1, 1598, -1, 1494, -1, 5317, -1], 'generators': [1, 128, 192, 96, 2, 4], 'label': '768.56452.8.l1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.l1.a1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.a1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 59852460
    {'ambient': '768.56452', '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': '48.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['4.a1.a1', '4.d1.a1', '4.d1.b1', '4.e1.b1', '4.g1.b1', '6.b1.b1'], 'core': '2.b1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2488, 3122, 6003, 5855, 3505, 5327, 2609, 5957], 'generators': [393, 96, 4, 528, 578, 128, 192, 384], 'label': '768.56452.2.b1.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1.b1', 'normal_contained_in': ['1.a1.a1'], 'normal_contains': ['4.a1.a1', '4.d1.a1', '4.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '2.b1.b1', 'projective_image': '48.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1.b1', 'subgroup_fusion': None, 'weyl_group': '48.7'}
  • id: 59852461
    {'ambient': '768.56452', 'aut_centralizer_order': 16, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '192.1520', 'aut_weyl_index': 128, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.d1', '4.e1.a1', '4.g1.a1'], 'contains': ['16.j1.a1', '16.o1.b1', '24.l1.b1'], 'core': '16.j1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [1464, -1, 1845, -1, 1494, -1, 5068, -1], 'generators': [385, 128, 192, 96, 2, 4], 'label': '768.56452.8.l1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.a1', 'old_label': '8.l1.b1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.b1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 59852462
    {'ambient': '768.56452', 'aut_centralizer_order': 16, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '192.1520', 'aut_weyl_index': 128, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '4.e1.b1', '4.g1.b1'], 'contains': ['16.j1.b1', '16.o1.c1', '24.l1.c1'], 'core': '16.j1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1464, -1, 4981, -1, 1494, -1, 2185, -1], 'generators': [9, 128, 192, 96, 578, 4], 'label': '768.56452.8.l1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.b1', 'old_label': '8.l1.c1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.c1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 59852463
    {'ambient': '768.56452', 'aut_centralizer_order': 16, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '192.1520', 'aut_weyl_index': 128, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '4.e1.b1', '4.g1.b1'], 'contains': ['16.j1.b1', '16.o1.d1', '24.l1.d1'], 'core': '16.j1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1464, -1, 5953, -1, 1494, -1, 1627, -1], 'generators': [393, 128, 192, 96, 578, 4], 'label': '768.56452.8.l1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1.b1', 'old_label': '8.l1.d1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1.d1', 'subgroup_fusion': None, 'weyl_group': '24.6'}
  • id: 59852464
    {'ambient': '768.56452', 'aut_centralizer_order': 192, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '64.263', 'aut_weyl_index': 384, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '4.f1.a1', '4.f1.b1'], 'contains': ['16.l1.a1', '16.p1.a1', '16.p1.b1', '24.m1.a1'], 'core': '16.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7830, -1, 8940, -1, 8578, -1, 7835, -1], 'generators': [4, 192, 96, 24, 128, 48], 'label': '768.56452.8.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.m1.a1', 'projective_image': '192.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852465
    {'ambient': '768.56452', 'aut_centralizer_order': 192, 'aut_label': '8.n1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '64.263', 'aut_weyl_index': 384, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '4.f1.a1', '4.f1.b1'], 'contains': ['16.l1.a1', '16.q1.a1', '16.q1.b1', '24.n1.a1'], 'core': '16.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9416, -1, 8106, -1, 7490, -1, 8779, -1], 'generators': [30, 192, 288, 48, 128, 244], 'label': '768.56452.8.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '8.n1.a1', 'projective_image': '192.110', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.n1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852466
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '12.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.261', 'aut_weyl_index': 384, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1.a1', '6.a1.a1', '6.b1.a1', '6.b1.b1'], 'contains': ['24.a1.a1', '24.b1.a1', '24.c1.a1', '24.f1.a1', '24.f1.b1', '24.g1.a1', '24.g1.b1'], 'core': '12.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2993, 3122, 6097, 4501, 4853, 5831, 4319, 4261], 'generators': [2, 528, 384], 'label': '768.56452.12.a1.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.a1.a1', 'normal_contained_in': ['4.a1.a1', '6.a1.a1'], 'normal_contains': ['24.a1.a1', '24.b1.a1', '24.c1.a1', '24.f1.b1', '24.f1.a1', '24.g1.b1', '24.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.a1.a1', 'projective_image': '48.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852467
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '12.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.263', 'aut_weyl_index': 384, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.b1.a1', '6.a1.a1'], 'contains': ['24.c1.a1', '24.d1.a1', '24.d1.b1', '24.j1.a1', '24.m1.a1'], 'core': '12.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8322, 8976, 9463, 1473, 8949, 8148, 8077, 1653], 'generators': [4, 24, 384], 'label': '768.56452.12.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': ['4.b1.a1', '6.a1.a1'], 'normal_contains': ['24.c1.a1', '24.d1.a1', '24.d1.b1'], 'normalizer': '1.a1.a1', 'old_label': '12.b1.a1', 'projective_image': '96.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852468
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '12.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '64.263', 'aut_weyl_index': 384, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1.a1', '6.a1.a1'], 'contains': ['24.c1.a1', '24.e1.a1', '24.e1.b1', '24.i1.a1', '24.n1.a1'], 'core': '12.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9303, 9549, 8282, 719, 7861, 8691, 9250, 808], 'generators': [30, 144, 384], 'label': '768.56452.12.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': ['4.c1.a1', '6.a1.a1'], 'normal_contains': ['24.c1.a1', '24.e1.b1', '24.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '12.c1.a1', 'projective_image': '96.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '6.2', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '12.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852469
    {'ambient': '768.56452', 'aut_centralizer_order': 16, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2325', 'aut_weyl_index': 192, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.a1', '6.b1.a1'], 'contains': ['24.b1.a1', '24.h1.a1', '24.k1.a1', '24.l1.a1', '24.l1.b1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1109, -1, 3684, -1, 1920, -1, 5596, -1], 'generators': [1, 96, 384], 'label': '768.56452.12.d1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.d1.a1', 'projective_image': '48.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 59852470
    {'ambient': '768.56452', 'aut_centralizer_order': 16, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2325', 'aut_weyl_index': 192, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.e1.b1', '6.b1.b1'], 'contains': ['24.b1.a1', '24.h1.b1', '24.k1.b1', '24.l1.c1', '24.l1.d1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1109, -1, 5797, -1, 1920, -1, 1906, -1], 'generators': [393, 96, 384], 'label': '768.56452.12.d1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.b1', 'old_label': '12.d1.b1', 'projective_image': '48.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 59852471
    {'ambient': '768.56452', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1.a1'], 'contains': ['6.a1.a1', '6.b1.a1', '6.b1.b1'], 'core': '6.a1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [4150, -1, 6507, -1, 5273, -1, 5596, -1], 'generators': [1, 24], 'label': '768.56452.3.a1.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '3.a1.a1', 'projective_image': '48.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1.a1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
  • id: 59852472
    {'ambient': '768.56452', 'aut_centralizer_order': 16, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2312', 'aut_weyl_index': 192, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.a1', '6.b1.b1'], 'contains': ['24.f1.a1', '24.l1.c1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2222, -1, 6308, -1, 3126, -1, 2630, -1], 'generators': [9, 528], 'label': '768.56452.12.e1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.e1.a1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.a1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
  • id: 59852473
    {'ambient': '768.56452', 'aut_centralizer_order': 16, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2312', 'aut_weyl_index': 192, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.b1', '6.b1.b1'], 'contains': ['24.f1.a1', '24.l1.d1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2222, -1, 6773, -1, 3126, -1, 2373, -1], 'generators': [393, 528], 'label': '768.56452.12.e1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.e1.b1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.b1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
  • id: 59852474
    {'ambient': '768.56452', 'aut_centralizer_order': 16, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2312', 'aut_weyl_index': 192, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.c1', '6.b1.a1'], 'contains': ['24.f1.b1', '24.l1.a1'], 'core': '24.f1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [2222, -1, 4577, -1, 3126, -1, 5943, -1], 'generators': [1, 528], 'label': '768.56452.12.e1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.e1.c1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.c1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
  • id: 59852475
    {'ambient': '768.56452', 'aut_centralizer_order': 16, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2312', 'aut_weyl_index': 192, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.d1.d1', '6.b1.a1'], 'contains': ['24.f1.b1', '24.l1.b1'], 'core': '24.f1.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [2222, -1, 4450, -1, 3126, -1, 5815, -1], 'generators': [385, 528], 'label': '768.56452.12.e1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1.a1', 'old_label': '12.e1.d1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1.d1', 'subgroup_fusion': None, 'weyl_group': '16.7'}
  • id: 59852476
    {'ambient': '768.56452', 'aut_centralizer_order': 96, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '64.263', 'aut_weyl_index': 384, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.a1', '6.a1.a1'], 'contains': ['24.g1.a1', '24.m1.a1', '24.n1.a1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8772, -1, 8801, -1, 8231, -1, 8548, -1], 'generators': [2, 24], 'label': '768.56452.12.f1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '12.f1.a1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852477
    {'ambient': '768.56452', 'aut_centralizer_order': 96, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '64.263', 'aut_weyl_index': 384, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.f1.b1', '6.a1.a1'], 'contains': ['24.g1.b1', '24.m1.a1', '24.n1.a1'], 'core': '24.g1.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8772, -1, 8575, -1, 8231, -1, 8320, -1], 'generators': [386, 24], 'label': '768.56452.12.f1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '12.f1.b1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852478
    {'ambient': '768.56452', 'aut_centralizer_order': 16, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2312', 'aut_weyl_index': 192, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.a1', '6.b1.a1'], 'contains': ['24.g1.a1', '24.l1.a1', '24.l1.b1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [2428, -1, 4006, -1, 3328, -1, 6072, -1], 'generators': [1, 144], 'label': '768.56452.12.g1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.a1', 'old_label': '12.g1.a1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 59852479
    {'ambient': '768.56452', 'aut_centralizer_order': 16, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '128.2312', 'aut_weyl_index': 192, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1.b1', '6.b1.b1'], 'contains': ['24.g1.b1', '24.l1.c1', '24.l1.d1'], 'core': '24.g1.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [2428, -1, 6541, -1, 3328, -1, 2502, -1], 'generators': [393, 144], 'label': '768.56452.12.g1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1.b1', 'old_label': '12.g1.b1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 59852480
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '16.a1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.d1.a1', '32.e1.a1', '32.f1.a1', '32.g1.a1', '48.a1.a1'], 'core': '16.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3917, 4240, 2991, 6249, 3679, 3692, 3756, 6688], 'generators': [4, 192, 96, 384, 128], 'label': '768.56452.16.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1.a1', 'normal_contained_in': ['8.a1.a1', '8.b1.a1', '8.c1.a1'], 'normal_contains': ['32.a1.a1', '32.b1.a1', '32.c1.a1', '32.g1.a1', '32.f1.a1', '32.e1.a1', '32.d1.a1', '48.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.a1.a1', 'projective_image': '96.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852481
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '16.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.46', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.h1.a1', '8.h1.b1'], 'contains': ['32.b1.a1', '32.h1.a1', '32.h1.b1', '48.b1.a1'], 'core': '16.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1089, 3227, 3285, 9502, 970, 694, 3286, 8955], 'generators': [2, 192, 384, 128, 4], 'label': '768.56452.16.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1.a1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.b1.a1', '32.h1.a1', '32.h1.b1', '48.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.b1.a1', 'projective_image': '48.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852482
    {'ambient': '768.56452', 'aut_centralizer_order': 192, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '128.2320', 'aut_weyl_index': 192, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.f1.a1', '8.f1.b1', '8.g1.a1', '8.g1.b1', '12.a1.a1'], 'core': '4.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3228, 3122, 4744, 5319, 4112, 5327, 4319, 5046], 'generators': [2, 288, 4, 528, 192, 384, 128], 'label': '768.56452.4.a1.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1.a1', 'normal_contained_in': ['2.a1.a1', '2.b1.a1', '2.b1.b1'], 'normal_contains': ['8.a1.a1', '8.b1.a1', '8.c1.a1', '8.f1.b1', '8.f1.a1', '8.g1.b1', '8.g1.a1', '12.a1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.a1.a1', 'projective_image': '48.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852483
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '16.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.46', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1'], 'contains': ['32.b1.a1', '32.i1.a1', '32.i1.b1', '48.c1.a1'], 'core': '16.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2351, 579, 3510, 9090, 1880, 1783, 2421, 8579], 'generators': [102, 192, 384, 128, 4], 'label': '768.56452.16.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.c1.a1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.b1.a1', '32.i1.a1', '32.i1.b1', '48.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.c1.a1', 'projective_image': '96.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852484
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '16.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.d1.a1', '8.d1.b1'], 'contains': ['32.c1.a1', '32.j1.a1', '32.l1.a1', '48.d1.a1'], 'core': '16.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6311, 7571, 9042, 3302, 7036, 7880, 6680, 2409], 'generators': [528, 192, 384, 128, 288], 'label': '768.56452.16.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.d1.a1', 'normal_contained_in': ['8.c1.a1', '8.d1.a1', '8.d1.b1'], 'normal_contains': ['32.c1.a1', '32.l1.a1', '32.j1.a1', '48.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.d1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852485
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '16.e1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.i1.a1'], 'contains': ['32.c1.a1', '32.k1.a1', '32.m1.a1', '48.e1.a1'], 'core': '16.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6739, 6555, 7026, 2292, 6008, 7399, 7355, 2785], 'generators': [724, 192, 384, 128, 96], 'label': '768.56452.16.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.e1.a1', 'normal_contained_in': ['8.c1.a1'], 'normal_contains': ['32.c1.a1', '32.k1.a1', '32.m1.a1', '48.e1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.e1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852486
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '16.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.e1.a1', '8.e1.b1'], 'contains': ['32.d1.a1', '32.j1.a1', '32.m1.a1', '48.f1.a1'], 'core': '16.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7946, 8078, 7252, 1346, 5660, 8824, 8740, 919], 'generators': [388, 192, 528, 128, 288], 'label': '768.56452.16.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.f1.a1', 'normal_contained_in': ['8.c1.a1', '8.e1.b1', '8.e1.a1'], 'normal_contains': ['32.d1.a1', '32.j1.a1', '32.m1.a1', '48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.f1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852487
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '16.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.j1.a1'], 'contains': ['32.d1.a1', '32.k1.a1', '32.l1.a1', '48.g1.a1'], 'core': '16.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5964, 6046, 7532, 2700, 7383, 6437, 6453, 3161], 'generators': [388, 192, 144, 128, 288], 'label': '768.56452.16.g1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.g1.a1', 'normal_contained_in': ['8.c1.a1'], 'normal_contains': ['32.d1.a1', '32.k1.a1', '32.l1.a1', '48.g1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.g1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852488
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '16.h1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.k1.a1'], 'contains': ['32.e1.a1', '32.h1.a1', '32.i1.b1', '48.h1.a1'], 'core': '16.h1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [744, 1717, 2194, 8574, 1317, 1175, 3999, 9403], 'generators': [2, 192, 480, 128, 4], 'label': '768.56452.16.h1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.h1.a1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.e1.a1', '32.h1.a1', '32.i1.b1', '48.h1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.h1.a1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852489
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '16.h1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.k1.b1'], 'contains': ['32.e1.a1', '32.h1.b1', '32.i1.a1', '48.h1.b1'], 'core': '16.h1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [744, 1717, 4317, 7756, 1317, 1175, 1966, 8203], 'generators': [386, 192, 480, 128, 4], 'label': '768.56452.16.h1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.h1.b1', 'normal_contained_in': ['8.b1.a1'], 'normal_contains': ['32.e1.a1', '32.h1.b1', '32.i1.a1', '48.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.h1.b1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.1', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.h1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852490
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '16.i1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.f1.a1', '8.g1.a1'], 'contains': ['32.g1.a1', '32.o1.a1', '48.i1.a1'], 'core': '16.i1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3467, 2720, 2646, 6685, 4050, 4206, 2839, 6286], 'generators': [150, 192, 96, 128, 100], 'label': '768.56452.16.i1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.i1.a1', 'normal_contained_in': ['8.a1.a1', '8.f1.a1', '8.g1.a1'], 'normal_contains': ['32.g1.a1', '48.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.i1.a1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.i1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852491
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '16.i1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '8.f1.b1', '8.g1.b1'], 'contains': ['32.g1.a1', '32.o1.b1', '48.i1.b1'], 'core': '16.i1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [3467, 2720, 2420, 5594, 4050, 4206, 3514, 5910], 'generators': [534, 192, 96, 128, 100], 'label': '768.56452.16.i1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.i1.b1', 'normal_contained_in': ['8.a1.a1', '8.f1.b1', '8.g1.b1'], 'normal_contains': ['32.g1.a1', '48.i1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.i1.b1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.i1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852492
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '16.j1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.f1.b1', '8.g1.a1', '8.l1.a1', '8.l1.b1'], 'contains': ['32.g1.a1', '32.h1.a1', '32.i1.a1', '48.j1.a1'], 'core': '16.j1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1923, 1088, 1862, 7250, 2227, 2390, 4969, 7451], 'generators': [2, 192, 96, 128, 4], 'label': '768.56452.16.j1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.j1.a1', 'normal_contained_in': ['8.b1.a1', '8.f1.b1', '8.g1.a1'], 'normal_contains': ['32.g1.a1', '32.h1.a1', '32.i1.a1', '48.j1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.j1.a1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.j1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852493
    {'ambient': '768.56452', 'aut_centralizer_order': 192, 'aut_label': '4.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.2322', 'aut_weyl_index': 192, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.d1.a1', '8.d1.b1', '8.j1.a1', '8.m1.a1', '12.b1.a1'], 'core': '4.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7485, 7580, 9166, 2482, 8764, 7446, 7592, 2368], 'generators': [4, 96, 48, 24, 192, 384, 128], 'label': '768.56452.4.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.b1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.c1.a1', '8.d1.a1', '8.d1.b1', '12.b1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.b1.a1', 'projective_image': '96.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852494
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '16.j1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '8.f1.a1', '8.g1.b1', '8.l1.c1', '8.l1.d1'], 'contains': ['32.g1.a1', '32.h1.b1', '32.i1.b1', '48.j1.b1'], 'core': '16.j1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1923, 1088, 4927, 8165, 2227, 2390, 2193, 7827], 'generators': [386, 192, 96, 128, 4], 'label': '768.56452.16.j1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.j1.b1', 'normal_contained_in': ['8.b1.a1', '8.f1.a1', '8.g1.b1'], 'normal_contains': ['32.g1.a1', '32.h1.b1', '32.i1.b1', '48.j1.b1'], 'normalizer': '1.a1.a1', 'old_label': '16.j1.b1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.j1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852495
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '16.k1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.f1.a1', '8.f1.b1'], 'contains': ['32.g1.a1', '32.j1.a1', '32.k1.a1', '48.k1.a1'], 'core': '16.k1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5536, 5539, 4543, 3873, 5313, 5956, 5895, 3913], 'generators': [4, 192, 528, 128, 288], 'label': '768.56452.16.k1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.k1.a1', 'normal_contained_in': ['8.c1.a1', '8.f1.b1', '8.f1.a1'], 'normal_contains': ['32.g1.a1', '32.k1.a1', '32.j1.a1', '48.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.k1.a1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.2', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.k1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852496
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '16.l1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '8.g1.a1', '8.g1.b1', '8.m1.a1', '8.n1.a1'], 'contains': ['32.g1.a1', '32.l1.a1', '32.m1.a1', '48.l1.a1'], 'core': '16.l1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7169, 7062, 6800, 4992, 6355, 6918, 6908, 3537], 'generators': [4, 192, 144, 128, 288], 'label': '768.56452.16.l1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.l1.a1', 'normal_contained_in': ['8.c1.a1', '8.g1.b1', '8.g1.a1'], 'normal_contains': ['32.g1.a1', '32.l1.a1', '32.m1.a1', '48.l1.a1'], 'normalizer': '1.a1.a1', 'old_label': '16.l1.a1', 'projective_image': '192.110', 'quotient_action_image': '2.1', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '16.l1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852497
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '16.m1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '32.46', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.a1.a1', '32.n1.a1', '32.n1.b1', '32.n1.c1', '32.n1.d1', '32.o1.a1', '32.o1.b1', '48.m1.a1'], 'core': '32.a1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4806, -1, 1004, -1, 2938, -1, 514, -1], 'generators': [534, 100, 192, 384, 128], 'label': '768.56452.16.m1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.m1.a1', 'projective_image': '192.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.m1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852498
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '16.n1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '32.46', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1'], 'contains': ['32.f1.a1', '32.o1.a1', '32.o1.b1', '48.n1.a1'], 'core': '32.f1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [4286, -1, 1636, -1, 3309, -1, 1230, -1], 'generators': [534, 192, 480, 128, 100], 'label': '768.56452.16.n1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.n1.a1', 'projective_image': '192.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.n1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852500
    {'ambient': '768.56452', 'aut_centralizer_order': 32, 'aut_label': '16.o1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '48.35', 'aut_weyl_index': 512, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '8.k1.a1', '8.l1.b1'], 'contains': ['32.h1.a1', '48.o1.b1'], 'core': '32.h1.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [200, -1, 1441, -1, 108, -1, 4606, -1], 'generators': [385, 128, 2, 4, 192], 'label': '768.56452.16.o1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.a1', 'old_label': '16.o1.b1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.o1.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 59852501
    {'ambient': '768.56452', 'aut_centralizer_order': 32, 'aut_label': '16.o1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '48.35', 'aut_weyl_index': 512, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.b1', '8.k1.b1', '8.l1.c1'], 'contains': ['32.h1.b1', '48.o1.c1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [200, -1, 5229, -1, 108, -1, 1034, -1], 'generators': [9, 128, 578, 4, 192], 'label': '768.56452.16.o1.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.b1', 'old_label': '16.o1.c1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.o1.c1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 59852502
    {'ambient': '768.56452', 'aut_centralizer_order': 32, 'aut_label': '16.o1', 'aut_quo_index': None, 'aut_stab_index': 16, 'aut_weyl_group': '48.35', 'aut_weyl_index': 512, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.b1', '8.k1.b1', '8.l1.d1'], 'contains': ['32.h1.b1', '48.o1.d1'], 'core': '32.h1.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [200, -1, 5394, -1, 108, -1, 726, -1], 'generators': [393, 128, 578, 4, 192], 'label': '768.56452.16.o1.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.e1.b1', 'old_label': '16.o1.d1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.o1.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 59852503
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '16.p1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '8.j1.a1', '8.m1.a1'], 'contains': ['32.l1.a1', '48.p1.a1'], 'core': '32.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7518, -1, 9217, -1, 9577, -1, 7882, -1], 'generators': [24, 192, 128, 48, 96], 'label': '768.56452.16.p1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.p1.a1', 'projective_image': '384.230', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.p1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852504
    {'ambient': '768.56452', 'aut_centralizer_order': 192, 'aut_label': '4.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '128.2322', 'aut_weyl_index': 192, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1.a1'], 'contains': ['8.c1.a1', '8.e1.a1', '8.e1.b1', '8.i1.a1', '8.n1.a1', '12.c1.a1'], 'core': '4.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9106, 8701, 7880, 1195, 7119, 8691, 9007, 1210], 'generators': [30, 288, 244, 528, 192, 384, 128], 'label': '768.56452.4.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.c1.a1', 'normal_contained_in': ['2.a1.a1'], 'normal_contains': ['8.c1.a1', '8.e1.b1', '8.e1.a1', '12.c1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.c1.a1', 'projective_image': '96.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852505
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '16.p1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '8.j1.a1', '8.m1.a1'], 'contains': ['32.l1.a1', '48.p1.b1'], 'core': '32.l1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [7518, -1, 9670, -1, 9577, -1, 7530, -1], 'generators': [220, 192, 128, 240, 96], 'label': '768.56452.16.p1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.p1.b1', 'projective_image': '384.230', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.p1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852506
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '16.q1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '8.i1.a1', '8.n1.a1'], 'contains': ['32.m1.a1', '48.q1.a1'], 'core': '32.m1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9567, -1, 7707, -1, 7652, -1, 9144, -1], 'generators': [30, 192, 128, 244, 288], 'label': '768.56452.16.q1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.q1.a1', 'projective_image': '384.230', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.q1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852507
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '16.q1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '8.i1.a1', '8.n1.a1'], 'contains': ['32.m1.a1', '48.q1.b1'], 'core': '32.m1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9567, -1, 7880, -1, 7652, -1, 9723, -1], 'generators': [414, 192, 128, 244, 288], 'label': '768.56452.16.q1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '16.q1.b1', 'projective_image': '384.230', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.q1.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852508
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.46', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1.a1', '12.a1.a1'], 'contains': ['48.a1.a1', '48.i1.a1', '48.i1.b1', '48.m1.a1', '48.n1.a1'], 'core': '24.a1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3324, 3461, 4204, 5278, 4391, 4678, 3063, 5225], 'generators': [534, 96, 384], 'label': '768.56452.24.a1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1.a1', 'normal_contained_in': ['8.a1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '48.i1.b1', '48.i1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.a1.a1', 'projective_image': '96.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852509
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '24.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '32.46', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1.a1', '12.a1.a1', '12.d1.a1', '12.d1.b1'], 'contains': ['48.a1.a1', '48.b1.a1', '48.c1.a1', '48.h1.a1', '48.h1.b1', '48.j1.a1', '48.j1.b1'], 'core': '24.b1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1356, 465, 4422, 7500, 2568, 2863, 4223, 7082], 'generators': [2, 96, 384], 'label': '768.56452.24.b1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.b1.a1', 'normal_contained_in': ['8.b1.a1', '12.a1.a1'], 'normal_contains': ['48.a1.a1', '48.b1.a1', '48.c1.a1', '48.j1.a1', '48.j1.b1', '48.h1.a1', '48.h1.b1'], 'normalizer': '1.a1.a1', 'old_label': '24.b1.a1', 'projective_image': '48.7', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.b1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852510
    {'ambient': '768.56452', 'aut_centralizer_order': 1536, 'aut_label': '24.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'contains': ['48.a1.a1', '48.d1.a1', '48.e1.a1', '48.f1.a1', '48.g1.a1', '48.k1.a1', '48.l1.a1'], 'core': '24.c1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7271, 8521, 7457, 1090, 6695, 8352, 7131, 2040], 'generators': [4, 528, 384], 'label': '768.56452.24.c1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.c1.a1', 'normal_contained_in': ['8.c1.a1', '12.a1.a1', '12.b1.a1', '12.c1.a1'], 'normal_contains': ['48.a1.a1', '48.e1.a1', '48.d1.a1', '48.k1.a1', '48.l1.a1', '48.g1.a1', '48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.c1.a1', 'projective_image': '96.25', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.c1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852511
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '24.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.a1', '12.b1.a1'], 'contains': ['48.d1.a1', '48.p1.a1'], 'core': '24.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [8446, 9308, 9394, 1780, 9309, 9305, 8285, 1671], 'generators': [24, 384], 'label': '768.56452.24.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1.a1', 'normal_contained_in': ['8.d1.a1', '12.b1.a1'], 'normal_contains': ['48.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.d1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.d1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852512
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '24.d1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.d1.b1', '12.b1.a1'], 'contains': ['48.d1.a1', '48.p1.b1'], 'core': '24.d1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8446, 9308, 9900, 2953, 9309, 9305, 7706, 1295], 'generators': [220, 384], 'label': '768.56452.24.d1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.d1.b1', 'normal_contained_in': ['8.d1.b1', '12.b1.a1'], 'normal_contains': ['48.d1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.d1.b1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.d1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852513
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '24.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.a1', '12.c1.a1'], 'contains': ['48.f1.a1', '48.q1.a1'], 'core': '24.e1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9913, 9817, 7785, 590, 7920, 9786, 9320, 167], 'generators': [30, 624], 'label': '768.56452.24.e1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.e1.a1', 'normal_contained_in': ['8.e1.a1', '12.c1.a1'], 'normal_contains': ['48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.e1.a1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.e1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852514
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '24.e1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.10', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.e1.b1', '12.c1.a1'], 'contains': ['48.f1.a1', '48.q1.b1'], 'core': '24.e1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [9913, 9817, 8344, 182, 7920, 9786, 9899, 543], 'generators': [414, 624], 'label': '768.56452.24.e1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.e1.b1', 'normal_contained_in': ['8.e1.b1', '12.c1.a1'], 'normal_contains': ['48.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.e1.b1', 'projective_image': '192.17', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.e1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852515
    {'ambient': '768.56452', 'aut_centralizer_order': 8, 'aut_label': '4.d1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '768.1083369', 'aut_weyl_index': 32, 'centralizer': '48.b1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.b1.b1'], 'contains': ['8.f1.a1', '8.l1.c1', '12.e1.a1'], 'core': '4.d1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2235, 2418, 5488, 6376, 3098, 4799, 2809, 6058], 'generators': [9, 192, 4, 528, 128, 578, 96], 'label': '768.56452.4.d1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '4.d1.a1', 'normal_contained_in': ['2.b1.b1'], 'normal_contains': ['8.f1.a1'], 'normalizer': '1.a1.a1', 'old_label': '4.d1.a1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1.a1', 'subgroup_fusion': None, 'weyl_group': '48.7'}
  • id: 59852516
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '24.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.a1', '12.a1.a1', '12.e1.a1', '12.e1.b1'], 'contains': ['48.i1.a1', '48.j1.b1', '48.k1.a1'], 'core': '24.f1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2481, 1988, 6137, 7036, 4704, 5112, 2630, 5565], 'generators': [386, 528], 'label': '768.56452.24.f1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.f1.a1', 'normal_contained_in': ['8.f1.a1', '12.a1.a1'], 'normal_contains': ['48.i1.a1', '48.j1.b1', '48.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.f1.a1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.f1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852517
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '24.f1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1.b1', '12.a1.a1', '12.e1.c1', '12.e1.d1'], 'contains': ['48.i1.b1', '48.j1.a1', '48.k1.a1'], 'core': '24.f1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2481, 1988, 5288, 4378, 4704, 5112, 5546, 4886], 'generators': [2, 528], 'label': '768.56452.24.f1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.f1.b1', 'normal_contained_in': ['8.f1.b1', '12.a1.a1'], 'normal_contains': ['48.i1.b1', '48.j1.a1', '48.k1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.f1.b1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.2', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.f1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852518
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '24.g1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.g1.a1', '12.a1.a1', '12.f1.a1', '12.g1.a1'], 'contains': ['48.i1.a1', '48.j1.a1', '48.l1.a1'], 'core': '24.g1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2769, 2412, 4679, 5647, 4994, 5513, 6244, 4259], 'generators': [2, 144], 'label': '768.56452.24.g1.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.g1.a1', 'normal_contained_in': ['8.g1.a1', '12.a1.a1'], 'normal_contains': ['48.i1.a1', '48.j1.a1', '48.l1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.g1.a1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.g1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852519
    {'ambient': '768.56452', 'aut_centralizer_order': 768, 'aut_label': '24.g1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': '16.14', 'aut_weyl_index': 1536, 'centralizer': '2.a1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.g1.b1', '12.a1.a1', '12.f1.b1', '12.g1.b1'], 'contains': ['48.i1.b1', '48.j1.b1', '48.l1.a1'], 'core': '24.g1.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2769, 2412, 6517, 4719, 4994, 5513, 4428, 4573], 'generators': [386, 144], 'label': '768.56452.24.g1.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.g1.b1', 'normal_contained_in': ['8.g1.b1', '12.a1.a1'], 'normal_contains': ['48.i1.b1', '48.j1.b1', '48.l1.a1'], 'normalizer': '1.a1.a1', 'old_label': '24.g1.b1', 'projective_image': '96.28', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.5', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.g1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852520
    {'ambient': '768.56452', 'aut_centralizer_order': 32, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.48', 'aut_weyl_index': 768, 'centralizer': '24.h1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.a1', '12.d1.a1'], 'contains': ['48.b1.a1', '48.o1.a1', '48.o1.b1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [367, -1, 2250, -1, 408, -1, 5197, -1], 'generators': [1, 384], 'label': '768.56452.24.h1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '24.h1.a1', 'projective_image': '48.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852521
    {'ambient': '768.56452', 'aut_centralizer_order': 32, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.48', 'aut_weyl_index': 768, 'centralizer': '24.h1.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.h1.b1', '12.d1.b1'], 'contains': ['48.b1.a1', '48.o1.c1', '48.o1.d1'], 'core': '48.b1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [367, -1, 5738, -1, 408, -1, 1458, -1], 'generators': [393, 384], 'label': '768.56452.24.h1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.b1', 'old_label': '24.h1.b1', 'projective_image': '48.7', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 59852522
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '32.48', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.i1.a1', '12.c1.a1'], 'contains': ['48.e1.a1', '48.q1.a1', '48.q1.b1'], 'core': '48.e1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9221, -1, 8065, -1, 8267, -1, 9547, -1], 'generators': [30, 384], 'label': '768.56452.24.i1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.i1.a1', 'projective_image': '192.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852523
    {'ambient': '768.56452', 'aut_centralizer_order': 384, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '32.48', 'aut_weyl_index': 768, 'centralizer': '2.a1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1.a1', '12.b1.a1'], 'contains': ['48.g1.a1', '48.p1.a1', '48.p1.b1'], 'core': '48.g1.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8016, -1, 9674, -1, 9846, -1, 8058, -1], 'generators': [388, 24], 'label': '768.56452.24.j1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1.a1', 'old_label': '24.j1.a1', 'projective_image': '192.17', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 59852524
    {'ambient': '768.56452', 'aut_centralizer_order': 32, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.48', 'aut_weyl_index': 768, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.a1', '12.d1.a1'], 'contains': ['48.h1.a1', '48.o1.a1', '48.o1.b1'], 'core': '48.h1.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [87, -1, 2433, -1, 689, -1, 5381, -1], 'generators': [1, 480], 'label': '768.56452.24.k1.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.a1', 'old_label': '24.k1.a1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 59852525
    {'ambient': '768.56452', 'aut_centralizer_order': 32, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '32.48', 'aut_weyl_index': 768, 'centralizer': '48.b1.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1.b1', '12.d1.b1'], 'contains': ['48.h1.b1', '48.o1.c1', '48.o1.d1'], 'core': '48.h1.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [87, -1, 5555, -1, 689, -1, 880, -1], 'generators': [393, 480], 'label': '768.56452.24.k1.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.d1.b1', 'old_label': '24.k1.b1', 'projective_image': '96.28', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}