Abstract group data - 1296.3279

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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': '6.2', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 5, 'aut_exponent': 72, 'aut_gen_orders': [6, 4, 12, 12, 8], 'aut_gens': [[1, 6, 18, 108], [1165, 1128, 1062, 1188], [1091, 66, 144, 450], [1133, 276, 162, 738], [239, 930, 522, 594], [547, 768, 612, 90]], 'aut_group': None, 'aut_hash': 1710745556252048373, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 373248, 'aut_permdeg': 110, 'aut_perms': [11983483041097972885228217656174511053811364205551883255082935766304135643144805752792146427063604711124225492204941617989518380662329604544030910591692310940668506835530526238663, 6820888082831124302515290922848287263718225836642248823736028546834202486477766759645926687815974250317850777375942855755406902356648304718886961976690223239253681067136612333391, 3478080868059531457312673769302436128420112798613380644076256038853179430837447646691865721602084880626971811620321508598138146019699916119665023315955237809492030183461520486939, 10485276609523550825386495568509502908330354555137276366342815353553203358768448789481713581610520573403918996937201292694933816784093647142392093853053700551496511462769299256654, 14660400109796150161226297859409351160790967264677785137481720404291411920504440507325087734357115106760900954657997312616390753173358729241469516447310599967929888219415226557525], 'aut_phi_ratio': 864.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 1], [3, 2, 4, 1], [3, 2, 8, 1], [3, 8, 9, 1], [3, 8, 18, 1], [4, 6, 1, 1], [4, 108, 1, 1], [6, 1, 2, 1], [6, 2, 4, 1], [6, 2, 8, 1], [6, 8, 9, 1], [6, 8, 18, 1], [8, 54, 2, 1], [12, 6, 2, 1], [12, 12, 4, 1], [12, 12, 8, 1], [12, 108, 2, 1], [24, 54, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_3^4.Q_8.C_2^2.D_6^2', 'autcent_abelian': True, 'autcent_cyclic': False, 'autcent_exponent': 2, 'autcent_group': '4.2', 'autcent_hash': 2, 'autcent_nilpotent': True, 'autcent_order': 4, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 72, 'autcentquo_group': '93312.jr', 'autcentquo_hash': 7211166090879777373, 'autcentquo_nilpotent': False, 'autcentquo_order': 93312, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_3^4:(S_4\\times \\GL(2,3))', 'cc_stats': [[1, 1, 1], [2, 1, 1], [3, 1, 2], [3, 2, 12], [3, 8, 27], [4, 6, 1], [4, 108, 1], [6, 1, 2], [6, 2, 12], [6, 8, 27], [8, 54, 2], [12, 6, 2], [12, 12, 12], [12, 108, 2], [24, 54, 4]], 'center_label': '6.2', 'center_order': 6, 'central_product': True, 'central_quotient': '216.165', 'commutator_count': 1, 'commutator_label': '216.134', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '3.1', '3.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 3279, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': [['3.1', 1], ['432.619', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [3, 1, 2, 1], [3, 2, 1, 4], [3, 2, 2, 4], [3, 8, 1, 9], [3, 8, 2, 9], [4, 6, 1, 1], [4, 108, 1, 1], [6, 1, 2, 1], [6, 2, 1, 4], [6, 2, 2, 4], [6, 8, 1, 9], [6, 8, 2, 9], [8, 54, 2, 1], [12, 6, 2, 1], [12, 12, 1, 4], [12, 12, 2, 4], [12, 108, 2, 1], [24, 54, 4, 1]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 3931200, 'exponent': 24, 'exponents_of_order': [4, 4], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '648.737', 'hash': 3279, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [2, 3, 6, 6], 'inner_gens': [[1, 12, 738, 1242], [13, 6, 342, 1134], [37, 978, 18, 756], [271, 1032, 666, 108]], 'inner_hash': 165, 'inner_nilpotent': False, 'inner_order': 216, 'inner_split': True, 'inner_tex': 'C_3^2:S_4', 'inner_used': [1, 2, 3, 4], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 6], [2, 45], [3, 6], [4, 39], [6, 12]], 'label': '1296.3279', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': None, 'name': '(C3^2*C6).S4', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 20, 'number_characteristic_subgroups': 16, 'number_conjugacy_classes': 108, 'number_divisions': 70, 'number_normal_subgroups': 82, 'number_subgroup_autclasses': 101, 'number_subgroup_classes': 558, 'number_subgroups': 3664, 'old_label': None, 'order': 1296, 'order_factorization_type': 33, 'order_stats': [[1, 1], [2, 1], [3, 242], [4, 114], [6, 242], [8, 108], [12, 372], [24, 216]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 24, 'outer_gen_orders': [4, 3, 6, 3, 2, 6, 2, 4, 2], 'outer_gen_pows': [0, 0, 0, 0, 0, 0, 0, 0, 0], 'outer_gens': [[1, 870, 1134, 360], [1, 258, 18, 108], [1, 210, 666, 1278], [1, 690, 18, 108], [5, 6, 18, 108], [5, 78, 954, 1044], [1, 210, 666, 162], [1, 1122, 450, 612], [1, 12, 666, 810]], 'outer_group': '1728.47845', 'outer_hash': 47845, 'outer_nilpotent': False, 'outer_order': 1728, 'outer_permdeg': 13, 'outer_perms': [302320080, 3924226080, 2886876743, 1597212000, 16, 1208764816, 207340567, 3532077360, 491502240], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_6^2:\\GL(2,3)', 'pc_rank': 4, 'perfect': False, 'permutation_degree': 25, 'pgroup': 0, 'primary_abelian_invariants': [2, 3], 'quasisimple': False, 'rank': 4, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 2], [2, 15], [3, 2], [4, 27], [6, 6], [8, 14], [12, 4]], 'representations': {'PC': {'code': 1341434799761487331946272597451810356849304363893409151849, 'gens': [1, 3, 4, 6], 'pres': [8, 2, 3, 3, 2, 3, 2, 2, 3, 16, 5193, 290, 23619, 1843, 91, 28804, 756, 59621, 9093, 2045, 141, 60486, 166, 55303]}, 'GLZN': {'d': 2, 'p': 42, 'gens': [74377, 1223371, 1863823, 1429129, 2763563, 74677, 963157, 2741293]}, 'Perm': {'d': 25, 'gens': [25854449642503782392133, 6758061133824000, 646353942316314890674971, 646300418472124416000000, 53523844179886080000, 2987351515484, 4404319792351, 5808408640626]}}, 'schur_multiplier': [3, 3, 3], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [6], 'solvability_type': 12, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': '(C_3^2\\times C_6).S_4', 'transitive_degree': 144, '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: 114762311
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 3279, 'group_order': 1296, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 114762331
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 3279, 'group_order': 1296, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 648, 'size': 1}
  • id: 114762342
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 3279, 'group_order': 1296, 'label': '3A1', 'order': 3, 'powers': [4, 1], 'representative': 650, 'size': 1}
  • id: 114762353
    {'aut_label': '3A1', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 3279, 'group_order': 1296, 'label': '3A-1', 'order': 3, 'powers': [3, 1], 'representative': 4, 'size': 1}
  • id: 114762364
    {'aut_label': '3B', 'centralizer': '2.a1', 'counter': 5, 'group_counter': 3279, 'group_order': 1296, 'label': '3B', 'order': 3, 'powers': [5, 1], 'representative': 432, 'size': 2}
  • id: 114762375
    {'aut_label': '3B', 'centralizer': '2.a1', 'counter': 6, 'group_counter': 3279, 'group_order': 1296, 'label': '3C', 'order': 3, 'powers': [6, 1], 'representative': 72, 'size': 2}
  • id: 114762386
    {'aut_label': '3B', 'centralizer': '2.a1', 'counter': 7, 'group_counter': 3279, 'group_order': 1296, 'label': '3D', 'order': 3, 'powers': [7, 1], 'representative': 1116, 'size': 2}
  • id: 114762397
    {'aut_label': '3B', 'centralizer': '2.a1', 'counter': 8, 'group_counter': 3279, 'group_order': 1296, 'label': '3E', 'order': 3, 'powers': [8, 1], 'representative': 504, 'size': 2}
  • id: 114762408
    {'aut_label': '3F1', 'centralizer': '2.a1', 'counter': 9, 'group_counter': 3279, 'group_order': 1296, 'label': '3F1', 'order': 3, 'powers': [10, 1], 'representative': 1082, 'size': 2}
  • id: 114762312
    {'aut_label': '3F1', 'centralizer': '2.a1', 'counter': 10, 'group_counter': 3279, 'group_order': 1296, 'label': '3F-1', 'order': 3, 'powers': [9, 1], 'representative': 868, 'size': 2}
  • id: 114762322
    {'aut_label': '3F1', 'centralizer': '2.a1', 'counter': 11, 'group_counter': 3279, 'group_order': 1296, 'label': '3G1', 'order': 3, 'powers': [12, 1], 'representative': 722, 'size': 2}
  • id: 114762323
    {'aut_label': '3F1', 'centralizer': '2.a1', 'counter': 12, 'group_counter': 3279, 'group_order': 1296, 'label': '3G-1', 'order': 3, 'powers': [11, 1], 'representative': 688, 'size': 2}
  • id: 114762324
    {'aut_label': '3F1', 'centralizer': '2.a1', 'counter': 13, 'group_counter': 3279, 'group_order': 1296, 'label': '3H1', 'order': 3, 'powers': [14, 1], 'representative': 470, 'size': 2}
  • id: 114762325
    {'aut_label': '3F1', 'centralizer': '2.a1', 'counter': 14, 'group_counter': 3279, 'group_order': 1296, 'label': '3H-1', 'order': 3, 'powers': [13, 1], 'representative': 940, 'size': 2}
  • id: 114762326
    {'aut_label': '3F1', 'centralizer': '2.a1', 'counter': 15, 'group_counter': 3279, 'group_order': 1296, 'label': '3I1', 'order': 3, 'powers': [16, 1], 'representative': 1154, 'size': 2}
  • id: 114762327
    {'aut_label': '3F1', 'centralizer': '2.a1', 'counter': 16, 'group_counter': 3279, 'group_order': 1296, 'label': '3I-1', 'order': 3, 'powers': [15, 1], 'representative': 256, 'size': 2}
  • id: 114762328
    {'aut_label': '3J', 'centralizer': '8.a1', 'counter': 17, 'group_counter': 3279, 'group_order': 1296, 'label': '3J', 'order': 3, 'powers': [17, 1], 'representative': 444, 'size': 8}
  • id: 114762329
    {'aut_label': '3J', 'centralizer': '8.a1', 'counter': 18, 'group_counter': 3279, 'group_order': 1296, 'label': '3K', 'order': 3, 'powers': [18, 1], 'representative': 84, 'size': 8}
  • id: 114762330
    {'aut_label': '3J', 'centralizer': '8.a1', 'counter': 19, 'group_counter': 3279, 'group_order': 1296, 'label': '3L', 'order': 3, 'powers': [19, 1], 'representative': 438, 'size': 8}
  • id: 114762332
    {'aut_label': '3J', 'centralizer': '8.a1', 'counter': 20, 'group_counter': 3279, 'group_order': 1296, 'label': '3M', 'order': 3, 'powers': [20, 1], 'representative': 78, 'size': 8}
  • id: 114762333
    {'aut_label': '3J', 'centralizer': '8.a1', 'counter': 21, 'group_counter': 3279, 'group_order': 1296, 'label': '3N', 'order': 3, 'powers': [21, 1], 'representative': 12, 'size': 8}
  • id: 114762334
    {'aut_label': '3J', 'centralizer': '8.a1', 'counter': 22, 'group_counter': 3279, 'group_order': 1296, 'label': '3O', 'order': 3, 'powers': [22, 1], 'representative': 948, 'size': 8}
  • id: 114762335
    {'aut_label': '3J', 'centralizer': '8.a1', 'counter': 23, 'group_counter': 3279, 'group_order': 1296, 'label': '3P', 'order': 3, 'powers': [23, 1], 'representative': 156, 'size': 8}
  • id: 114762336
    {'aut_label': '3J', 'centralizer': '8.a1', 'counter': 24, 'group_counter': 3279, 'group_order': 1296, 'label': '3Q', 'order': 3, 'powers': [24, 1], 'representative': 318, 'size': 8}
  • id: 114762337
    {'aut_label': '3J', 'centralizer': '8.a1', 'counter': 25, 'group_counter': 3279, 'group_order': 1296, 'label': '3R', 'order': 3, 'powers': [25, 1], 'representative': 516, 'size': 8}
  • id: 114762338
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 26, 'group_counter': 3279, 'group_order': 1296, 'label': '3S1', 'order': 3, 'powers': [27, 1], 'representative': 16, 'size': 8}
  • id: 114762339
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 27, 'group_counter': 3279, 'group_order': 1296, 'label': '3S-1', 'order': 3, 'powers': [26, 1], 'representative': 656, 'size': 8}
  • id: 114762340
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 28, 'group_counter': 3279, 'group_order': 1296, 'label': '3T1', 'order': 3, 'powers': [29, 1], 'representative': 880, 'size': 8}
  • id: 114762341
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 29, 'group_counter': 3279, 'group_order': 1296, 'label': '3T-1', 'order': 3, 'powers': [28, 1], 'representative': 1088, 'size': 8}
  • id: 114762343
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 30, 'group_counter': 3279, 'group_order': 1296, 'label': '3U1', 'order': 3, 'powers': [31, 1], 'representative': 1024, 'size': 8}
  • id: 114762344
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 31, 'group_counter': 3279, 'group_order': 1296, 'label': '3U-1', 'order': 3, 'powers': [30, 1], 'representative': 674, 'size': 8}
  • id: 114762345
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 32, 'group_counter': 3279, 'group_order': 1296, 'label': '3V1', 'order': 3, 'powers': [33, 1], 'representative': 448, 'size': 8}
  • id: 114762346
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 33, 'group_counter': 3279, 'group_order': 1296, 'label': '3V-1', 'order': 3, 'powers': [32, 1], 'representative': 224, 'size': 8}
  • id: 114762347
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 34, 'group_counter': 3279, 'group_order': 1296, 'label': '3W1', 'order': 3, 'powers': [35, 1], 'representative': 734, 'size': 8}
  • id: 114762348
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 35, 'group_counter': 3279, 'group_order': 1296, 'label': '3W-1', 'order': 3, 'powers': [34, 1], 'representative': 694, 'size': 8}
  • id: 114762349
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 36, 'group_counter': 3279, 'group_order': 1296, 'label': '3X1', 'order': 3, 'powers': [37, 1], 'representative': 520, 'size': 8}
  • id: 114762350
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 37, 'group_counter': 3279, 'group_order': 1296, 'label': '3X-1', 'order': 3, 'powers': [36, 1], 'representative': 908, 'size': 8}
  • id: 114762351
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 38, 'group_counter': 3279, 'group_order': 1296, 'label': '3Y1', 'order': 3, 'powers': [39, 1], 'representative': 592, 'size': 8}
  • id: 114762352
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 39, 'group_counter': 3279, 'group_order': 1296, 'label': '3Y-1', 'order': 3, 'powers': [38, 1], 'representative': 1106, 'size': 8}
  • id: 114762354
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 40, 'group_counter': 3279, 'group_order': 1296, 'label': '3Z1', 'order': 3, 'powers': [41, 1], 'representative': 160, 'size': 8}
  • id: 114762355
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 41, 'group_counter': 3279, 'group_order': 1296, 'label': '3Z-1', 'order': 3, 'powers': [40, 1], 'representative': 242, 'size': 8}
  • id: 114762356
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 42, 'group_counter': 3279, 'group_order': 1296, 'label': '3AA1', 'order': 3, 'powers': [43, 1], 'representative': 856, 'size': 8}
  • id: 114762357
    {'aut_label': '3S1', 'centralizer': '8.a1', 'counter': 43, 'group_counter': 3279, 'group_order': 1296, 'label': '3AA-1', 'order': 3, 'powers': [42, 1], 'representative': 896, 'size': 8}
  • id: 114762358
    {'aut_label': '4A', 'centralizer': '6.e1', 'counter': 44, 'group_counter': 3279, 'group_order': 1296, 'label': '4A', 'order': 4, 'powers': [2, 44], 'representative': 324, 'size': 6}
  • id: 114762359
    {'aut_label': '4B', 'centralizer': '108.b1', 'counter': 45, 'group_counter': 3279, 'group_order': 1296, 'label': '4B', 'order': 4, 'powers': [2, 45], 'representative': 1095, 'size': 108}
  • id: 114762360
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 46, 'group_counter': 3279, 'group_order': 1296, 'label': '6A1', 'order': 6, 'powers': [3, 2], 'representative': 652, 'size': 1}
  • id: 114762361
    {'aut_label': '6A1', 'centralizer': '1.a1', 'counter': 47, 'group_counter': 3279, 'group_order': 1296, 'label': '6A-1', 'order': 6, 'powers': [4, 2], 'representative': 2, 'size': 1}
  • id: 114762362
    {'aut_label': '6B', 'centralizer': '2.a1', 'counter': 48, 'group_counter': 3279, 'group_order': 1296, 'label': '6B', 'order': 6, 'powers': [5, 2], 'representative': 216, 'size': 2}
  • id: 114762363
    {'aut_label': '6B', 'centralizer': '2.a1', 'counter': 49, 'group_counter': 3279, 'group_order': 1296, 'label': '6C', 'order': 6, 'powers': [6, 2], 'representative': 36, 'size': 2}
  • id: 114762365
    {'aut_label': '6B', 'centralizer': '2.a1', 'counter': 50, 'group_counter': 3279, 'group_order': 1296, 'label': '6D', 'order': 6, 'powers': [7, 2], 'representative': 288, 'size': 2}
  • id: 114762366
    {'aut_label': '6B', 'centralizer': '2.a1', 'counter': 51, 'group_counter': 3279, 'group_order': 1296, 'label': '6E', 'order': 6, 'powers': [8, 2], 'representative': 900, 'size': 2}
  • id: 114762367
    {'aut_label': '6F1', 'centralizer': '2.a1', 'counter': 52, 'group_counter': 3279, 'group_order': 1296, 'label': '6F1', 'order': 6, 'powers': [9, 2], 'representative': 220, 'size': 2}
  • id: 114762368
    {'aut_label': '6F1', 'centralizer': '2.a1', 'counter': 53, 'group_counter': 3279, 'group_order': 1296, 'label': '6F-1', 'order': 6, 'powers': [10, 2], 'representative': 434, 'size': 2}
  • id: 114762369
    {'aut_label': '6F1', 'centralizer': '2.a1', 'counter': 54, 'group_counter': 3279, 'group_order': 1296, 'label': '6G1', 'order': 6, 'powers': [11, 2], 'representative': 40, 'size': 2}
  • id: 114762370
    {'aut_label': '6F1', 'centralizer': '2.a1', 'counter': 55, 'group_counter': 3279, 'group_order': 1296, 'label': '6G-1', 'order': 6, 'powers': [12, 2], 'representative': 74, 'size': 2}
  • id: 114762371
    {'aut_label': '6F1', 'centralizer': '2.a1', 'counter': 56, 'group_counter': 3279, 'group_order': 1296, 'label': '6H1', 'order': 6, 'powers': [13, 2], 'representative': 292, 'size': 2}
  • id: 114762372
    {'aut_label': '6F1', 'centralizer': '2.a1', 'counter': 57, 'group_counter': 3279, 'group_order': 1296, 'label': '6H-1', 'order': 6, 'powers': [14, 2], 'representative': 1118, 'size': 2}
  • id: 114762373
    {'aut_label': '6F1', 'centralizer': '2.a1', 'counter': 58, 'group_counter': 3279, 'group_order': 1296, 'label': '6I1', 'order': 6, 'powers': [15, 2], 'representative': 904, 'size': 2}
  • id: 114762374
    {'aut_label': '6F1', 'centralizer': '2.a1', 'counter': 59, 'group_counter': 3279, 'group_order': 1296, 'label': '6I-1', 'order': 6, 'powers': [16, 2], 'representative': 506, 'size': 2}
  • id: 114762376
    {'aut_label': '6J', 'centralizer': '8.a1', 'counter': 60, 'group_counter': 3279, 'group_order': 1296, 'label': '6J', 'order': 6, 'powers': [17, 2], 'representative': 222, 'size': 8}
  • id: 114762377
    {'aut_label': '6J', 'centralizer': '8.a1', 'counter': 61, 'group_counter': 3279, 'group_order': 1296, 'label': '6K', 'order': 6, 'powers': [18, 2], 'representative': 42, 'size': 8}
  • id: 114762378
    {'aut_label': '6J', 'centralizer': '8.a1', 'counter': 62, 'group_counter': 3279, 'group_order': 1296, 'label': '6L', 'order': 6, 'powers': [19, 2], 'representative': 228, 'size': 8}
  • id: 114762379
    {'aut_label': '6J', 'centralizer': '8.a1', 'counter': 63, 'group_counter': 3279, 'group_order': 1296, 'label': '6M', 'order': 6, 'powers': [20, 2], 'representative': 48, 'size': 8}
  • id: 114762380
    {'aut_label': '6J', 'centralizer': '8.a1', 'counter': 64, 'group_counter': 3279, 'group_order': 1296, 'label': '6N', 'order': 6, 'powers': [21, 2], 'representative': 654, 'size': 8}
  • id: 114762381
    {'aut_label': '6J', 'centralizer': '8.a1', 'counter': 65, 'group_counter': 3279, 'group_order': 1296, 'label': '6O', 'order': 6, 'powers': [22, 2], 'representative': 474, 'size': 8}
  • id: 114762382
    {'aut_label': '6J', 'centralizer': '8.a1', 'counter': 66, 'group_counter': 3279, 'group_order': 1296, 'label': '6P', 'order': 6, 'powers': [23, 2], 'representative': 240, 'size': 8}
  • id: 114762383
    {'aut_label': '6J', 'centralizer': '8.a1', 'counter': 67, 'group_counter': 3279, 'group_order': 1296, 'label': '6Q', 'order': 6, 'powers': [24, 2], 'representative': 132, 'size': 8}
  • id: 114762384
    {'aut_label': '6J', 'centralizer': '8.a1', 'counter': 68, 'group_counter': 3279, 'group_order': 1296, 'label': '6R', 'order': 6, 'powers': [25, 2], 'representative': 906, 'size': 8}
  • id: 114762385
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 69, 'group_counter': 3279, 'group_order': 1296, 'label': '6S1', 'order': 6, 'powers': [26, 2], 'representative': 8, 'size': 8}
  • id: 114762387
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 70, 'group_counter': 3279, 'group_order': 1296, 'label': '6S-1', 'order': 6, 'powers': [27, 2], 'representative': 658, 'size': 8}
  • id: 114762388
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 71, 'group_counter': 3279, 'group_order': 1296, 'label': '6T1', 'order': 6, 'powers': [28, 2], 'representative': 440, 'size': 8}
  • id: 114762389
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 72, 'group_counter': 3279, 'group_order': 1296, 'label': '6T-1', 'order': 6, 'powers': [29, 2], 'representative': 232, 'size': 8}
  • id: 114762390
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 73, 'group_counter': 3279, 'group_order': 1296, 'label': '6U1', 'order': 6, 'powers': [30, 2], 'representative': 26, 'size': 8}
  • id: 114762391
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 74, 'group_counter': 3279, 'group_order': 1296, 'label': '6U-1', 'order': 6, 'powers': [31, 2], 'representative': 52, 'size': 8}
  • id: 114762392
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 75, 'group_counter': 3279, 'group_order': 1296, 'label': '6V1', 'order': 6, 'powers': [32, 2], 'representative': 872, 'size': 8}
  • id: 114762393
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 76, 'group_counter': 3279, 'group_order': 1296, 'label': '6V-1', 'order': 6, 'powers': [33, 2], 'representative': 226, 'size': 8}
  • id: 114762394
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 77, 'group_counter': 3279, 'group_order': 1296, 'label': '6W1', 'order': 6, 'powers': [34, 2], 'representative': 46, 'size': 8}
  • id: 114762395
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 78, 'group_counter': 3279, 'group_order': 1296, 'label': '6W-1', 'order': 6, 'powers': [35, 2], 'representative': 86, 'size': 8}
  • id: 114762396
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 79, 'group_counter': 3279, 'group_order': 1296, 'label': '6X1', 'order': 6, 'powers': [36, 2], 'representative': 260, 'size': 8}
  • id: 114762398
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 80, 'group_counter': 3279, 'group_order': 1296, 'label': '6X-1', 'order': 6, 'powers': [37, 2], 'representative': 910, 'size': 8}
  • id: 114762399
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 81, 'group_counter': 3279, 'group_order': 1296, 'label': '6Y1', 'order': 6, 'powers': [38, 2], 'representative': 458, 'size': 8}
  • id: 114762400
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 82, 'group_counter': 3279, 'group_order': 1296, 'label': '6Y-1', 'order': 6, 'powers': [39, 2], 'representative': 136, 'size': 8}
  • id: 114762401
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 83, 'group_counter': 3279, 'group_order': 1296, 'label': '6Z1', 'order': 6, 'powers': [40, 2], 'representative': 890, 'size': 8}
  • id: 114762402
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 84, 'group_counter': 3279, 'group_order': 1296, 'label': '6Z-1', 'order': 6, 'powers': [41, 2], 'representative': 244, 'size': 8}
  • id: 114762403
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 85, 'group_counter': 3279, 'group_order': 1296, 'label': '6AA1', 'order': 6, 'powers': [42, 2], 'representative': 248, 'size': 8}
  • id: 114762404
    {'aut_label': '6S1', 'centralizer': '8.a1', 'counter': 86, 'group_counter': 3279, 'group_order': 1296, 'label': '6AA-1', 'order': 6, 'powers': [43, 2], 'representative': 478, 'size': 8}
  • id: 114762405
    {'aut_label': '8A1', 'centralizer': '54.e1', 'counter': 87, 'group_counter': 3279, 'group_order': 1296, 'label': '8A1', 'order': 8, 'powers': [44, 88], 'representative': 1245, 'size': 54}
  • id: 114762406
    {'aut_label': '8A1', 'centralizer': '54.e1', 'counter': 88, 'group_counter': 3279, 'group_order': 1296, 'label': '8A3', 'order': 8, 'powers': [44, 87], 'representative': 1191, 'size': 54}
  • id: 114762407
    {'aut_label': '12A1', 'centralizer': '6.e1', 'counter': 89, 'group_counter': 3279, 'group_order': 1296, 'label': '12A1', 'order': 12, 'powers': [47, 44], 'representative': 706, 'size': 6}
  • id: 114762409
    {'aut_label': '12A1', 'centralizer': '6.e1', 'counter': 90, 'group_counter': 3279, 'group_order': 1296, 'label': '12A-1', 'order': 12, 'powers': [46, 44], 'representative': 704, 'size': 6}
  • id: 114762410
    {'aut_label': '12B', 'centralizer': '12.b1', 'counter': 91, 'group_counter': 3279, 'group_order': 1296, 'label': '12B', 'order': 12, 'powers': [48, 44], 'representative': 108, 'size': 12}
  • id: 114762411
    {'aut_label': '12B', 'centralizer': '12.b1', 'counter': 92, 'group_counter': 3279, 'group_order': 1296, 'label': '12C', 'order': 12, 'powers': [49, 44], 'representative': 18, 'size': 12}
  • id: 114762412
    {'aut_label': '12B', 'centralizer': '12.b1', 'counter': 93, 'group_counter': 3279, 'group_order': 1296, 'label': '12D', 'order': 12, 'powers': [50, 44], 'representative': 144, 'size': 12}
  • id: 114762413
    {'aut_label': '12B', 'centralizer': '12.b1', 'counter': 94, 'group_counter': 3279, 'group_order': 1296, 'label': '12E', 'order': 12, 'powers': [51, 44], 'representative': 450, 'size': 12}
  • id: 114762414
    {'aut_label': '12F1', 'centralizer': '12.b1', 'counter': 95, 'group_counter': 3279, 'group_order': 1296, 'label': '12F1', 'order': 12, 'powers': [52, 44], 'representative': 110, 'size': 12}
  • id: 114762415
    {'aut_label': '12F1', 'centralizer': '12.b1', 'counter': 96, 'group_counter': 3279, 'group_order': 1296, 'label': '12F-1', 'order': 12, 'powers': [53, 44], 'representative': 112, 'size': 12}
  • id: 114762416
    {'aut_label': '12F1', 'centralizer': '12.b1', 'counter': 97, 'group_counter': 3279, 'group_order': 1296, 'label': '12G1', 'order': 12, 'powers': [54, 44], 'representative': 20, 'size': 12}
  • id: 114762417
    {'aut_label': '12F1', 'centralizer': '12.b1', 'counter': 98, 'group_counter': 3279, 'group_order': 1296, 'label': '12G-1', 'order': 12, 'powers': [55, 44], 'representative': 22, 'size': 12}
  • id: 114762418
    {'aut_label': '12F1', 'centralizer': '12.b1', 'counter': 99, 'group_counter': 3279, 'group_order': 1296, 'label': '12H1', 'order': 12, 'powers': [56, 44], 'representative': 146, 'size': 12}
  • id: 114762313
    {'aut_label': '12F1', 'centralizer': '12.b1', 'counter': 100, 'group_counter': 3279, 'group_order': 1296, 'label': '12H-1', 'order': 12, 'powers': [57, 44], 'representative': 148, 'size': 12}
  • id: 114762314
    {'aut_label': '12F1', 'centralizer': '12.b1', 'counter': 101, 'group_counter': 3279, 'group_order': 1296, 'label': '12I1', 'order': 12, 'powers': [58, 44], 'representative': 452, 'size': 12}
  • id: 114762315
    {'aut_label': '12F1', 'centralizer': '12.b1', 'counter': 102, 'group_counter': 3279, 'group_order': 1296, 'label': '12I-1', 'order': 12, 'powers': [59, 44], 'representative': 454, 'size': 12}
  • id: 114762316
    {'aut_label': '12J1', 'centralizer': '108.b1', 'counter': 103, 'group_counter': 3279, 'group_order': 1296, 'label': '12J1', 'order': 12, 'powers': [46, 45], 'representative': 1097, 'size': 108}
  • id: 114762317
    {'aut_label': '12J1', 'centralizer': '108.b1', 'counter': 104, 'group_counter': 3279, 'group_order': 1296, 'label': '12J-1', 'order': 12, 'powers': [47, 45], 'representative': 445, 'size': 108}
  • id: 114762318
    {'aut_label': '24A1', 'centralizer': '54.e1', 'counter': 105, 'group_counter': 3279, 'group_order': 1296, 'label': '24A1', 'order': 24, 'powers': [89, 87], 'representative': 545, 'size': 54}
  • id: 114762319
    {'aut_label': '24A1', 'centralizer': '54.e1', 'counter': 106, 'group_counter': 3279, 'group_order': 1296, 'label': '24A-1', 'order': 24, 'powers': [90, 87], 'representative': 1243, 'size': 54}
  • id: 114762320
    {'aut_label': '24A1', 'centralizer': '54.e1', 'counter': 107, 'group_counter': 3279, 'group_order': 1296, 'label': '24A5', 'order': 24, 'powers': [90, 88], 'representative': 1189, 'size': 54}
  • id: 114762321
    {'aut_label': '24A1', 'centralizer': '54.e1', 'counter': 108, 'group_counter': 3279, 'group_order': 1296, 'label': '24A-5', 'order': 24, 'powers': [89, 88], 'representative': 599, 'size': 54}
• 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: 5466845
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.1a', '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], 'schur_index': 1}
  • id: 5466856
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.1b', '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], 'schur_index': 1}
  • id: 5466867
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.1c', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5466878
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.1d', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, 2, -2, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -2, -2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, 2, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5466889
    {'cdim': 2, 'counter': 5, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, 2, 0, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, 0, 0, 2, 2, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466900
    {'cdim': 2, 'counter': 6, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2b', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, 0, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, 2, 2, -1, 0, 0, 2, 2, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466911
    {'cdim': 2, 'counter': 7, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2c', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -1, -1, 2, 2, -1, -1, 2, -1, -1, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, 0, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, 2, -1, 2, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, -1, 0, 0, 2, 2, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466913
    {'cdim': 2, 'counter': 8, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2d', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, 2, -1, -1, 2, -1, 2, -1, 2, 2, 0, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 0, 0, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466914
    {'cdim': 2, 'counter': 9, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2e', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, 0, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, 2, 2, -1, -1, 2, -1, -1, -1, -1, 0, 0, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466846
    {'cdim': 2, 'counter': 10, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2f', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, -1, -1, 2, 0, 2, 2, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, 2, 0, 0, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466847
    {'cdim': 2, 'counter': 11, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2g', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, 0, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, -1, 2, -1, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466848
    {'cdim': 2, 'counter': 12, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2h', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, 2, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, 0, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, -1, 2, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466849
    {'cdim': 2, 'counter': 13, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2i', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, 2, 2, 2, 0, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, 2, -1, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 0, 0, 2, 2, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466850
    {'cdim': 2, 'counter': 14, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2j', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, 2, 2, 2, -1, 2, 0, 2, 2, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, -1, 2, 0, 0, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466851
    {'cdim': 2, 'counter': 15, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2k', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, 2, 2, -1, -1, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 2, 0, 2, 2, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, 0, 0, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466852
    {'cdim': 2, 'counter': 16, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2l', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, -1, -1, 2, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, 0, 2, 2, -1, -1, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, 0, 0, 2, 2, 2, -1, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466853
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2m', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [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, -1, -1, -1, 2, 0, 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, -1, -1, -1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466871
    {'cdim': 3, 'counter': 33, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.3a', 'multiplicity': 1, 'nt': [4, 5], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, -1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, -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: 5466872
    {'cdim': 3, 'counter': 34, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.3b', 'multiplicity': 1, 'nt': [6, 8], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, -1, -1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 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: 5466854
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2n', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, -2, -2, -2, -2, 4, 4, -2, 4, -2, -2, 4, -2, -2, -2, -2, 1, 1, -2, 1, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, 1, -2, 1, 1, -2, -2, 1, -2, 1, 1, 1, 1, 4, 0, -2, -2, 4, -2, -2, -2, -2, -2, -2, 4, 4, 4, -2, -2, 1, 1, -2, -2, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, -2, 1, 1, -2, 1, 1, 0, 0, -2, -2, -2, -2, 4, -2, -2, 4, -2, -2, 4, -2, -2, 4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466855
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2o', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, -2, -2, -2, 1, -2, -2, 1, 4, 1, 1, -2, 1, -2, 1, -2, -2, -2, -2, 1, -2, 4, -2, 1, -2, 1, -2, -2, 1, 1, 1, 4, 1, 1, -2, -2, 1, 4, 1, 1, 1, -2, 4, 0, -2, -2, -2, 1, -2, 1, -2, 1, 1, 4, -2, -2, 1, 1, 1, -2, 4, 4, 1, -2, 1, -2, -2, 1, 1, 4, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, 1, 1, -2, -2, 1, 0, 0, -2, -2, -2, 1, -2, 1, 1, -2, 1, -2, 4, 1, 1, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466857
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2p', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, -2, -2, -2, 1, -2, -2, 1, 4, 1, 1, -2, 1, -2, 1, -2, 1, 1, -2, 1, 1, -2, -2, 1, 1, -2, 1, 4, 1, 1, -2, -2, 1, 1, 4, 4, -2, -2, -2, -2, -2, 1, 4, 0, -2, -2, -2, 1, -2, 1, -2, 1, 1, 4, -2, -2, 1, 1, -2, 1, -2, -2, 1, 4, 1, -2, 1, -2, 1, -2, 1, 1, -2, 1, 1, 4, -2, 1, 1, 4, -2, -2, -2, 1, -2, 0, 0, -2, -2, -2, 1, -2, 1, 1, -2, 1, -2, 4, 1, 1, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466858
    {'cdim': 2, 'counter': 21, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2q', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, -2, -2, -2, 1, -2, -2, 1, 4, 1, 1, -2, 1, -2, 1, 4, 1, 1, 4, -2, 1, -2, 4, -2, 1, 1, 1, -2, -2, -2, 1, -2, -2, -2, -2, -2, 1, -2, 1, 1, 1, 1, 4, 0, -2, -2, -2, 1, -2, 1, -2, 1, 1, 4, -2, -2, 1, 1, 1, 1, -2, -2, -2, -2, -2, 4, 1, 1, -2, -2, -2, -2, 1, -2, 1, -2, 4, 1, 1, -2, 1, 1, 4, 1, 1, 0, 0, -2, -2, -2, 1, -2, 1, 1, -2, 1, -2, 4, 1, 1, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466859
    {'cdim': 2, 'counter': 22, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2r', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, -2, -2, 1, -2, -2, -2, 1, -2, 1, 1, 4, 1, 1, -2, -2, -2, -2, 4, 1, 1, -2, -2, 1, 1, 1, 1, 4, 1, -2, 1, 4, -2, 1, -2, -2, -2, -2, -2, 1, 1, 1, 4, 0, -2, -2, 4, 1, 1, 1, 1, -2, 1, -2, -2, -2, -2, 1, 1, -2, -2, 4, -2, 4, 1, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, -2, -2, 1, -2, 1, -2, 4, 1, -2, 0, 0, -2, -2, 1, 1, -2, 1, 1, -2, -2, 1, -2, -2, 1, 4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466860
    {'cdim': 2, 'counter': 23, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2s', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, -2, -2, 1, -2, -2, -2, 1, -2, 1, 1, 4, 1, 1, -2, -2, 1, 1, -2, 1, -2, 4, 4, -2, -2, 1, 1, -2, -2, 1, -2, -2, 1, 1, 4, -2, 1, -2, 1, -2, 1, 1, 4, 0, -2, -2, 4, 1, 1, 1, 1, -2, 1, -2, -2, -2, -2, 1, 1, 1, -2, -2, 1, -2, 1, -2, 1, -2, 1, 4, -2, 1, -2, -2, 1, -2, 4, 1, -2, 4, 1, 1, -2, -2, 1, 0, 0, -2, -2, 1, 1, -2, 1, 1, -2, -2, 1, -2, -2, 1, 4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466861
    {'cdim': 2, 'counter': 24, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2t', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, -2, -2, 1, -2, -2, -2, 1, -2, 1, 1, 4, 1, 1, -2, 4, 1, 1, -2, -2, 1, -2, -2, 1, 1, -2, -2, -2, 1, 1, 1, -2, 1, -2, -2, 4, 1, 4, 1, 1, -2, -2, 4, 0, -2, -2, 4, 1, 1, 1, 1, -2, 1, -2, -2, -2, -2, 1, -2, 1, 4, -2, 1, -2, -2, 4, -2, 1, -2, -2, 1, 1, 1, 1, -2, 4, -2, 1, 1, -2, -2, 1, -2, 1, 1, 0, 0, -2, -2, 1, 1, -2, 1, 1, -2, -2, 1, -2, -2, 1, 4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466862
    {'cdim': 2, 'counter': 25, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2u', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, -2, -2, 1, 1, -2, 4, -2, -2, 1, -2, -2, 1, 1, 1, -2, 1, 1, -2, 1, 1, -2, 4, -2, 1, 1, -2, 4, -2, 1, 1, -2, 1, 1, -2, -2, -2, 4, -2, 1, 1, -2, 4, 0, -2, -2, -2, 1, 1, 1, 1, 1, -2, -2, -2, 4, 1, -2, 1, 1, 4, -2, 1, 4, 1, -2, -2, 1, 1, -2, -2, 1, 1, -2, -2, -2, 4, 1, 1, -2, 1, -2, -2, 1, -2, 0, 0, -2, -2, 1, -2, 4, 1, -2, -2, 1, 1, -2, 1, 1, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466863
    {'cdim': 2, 'counter': 26, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2v', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, -2, -2, 1, 1, -2, 4, -2, -2, 1, -2, -2, 1, 1, 1, -2, 1, 1, 4, 1, -2, 4, -2, 1, -2, -2, 1, -2, 1, -2, 1, -2, -2, 1, -2, 4, 1, -2, 1, 1, -2, 1, 4, 0, -2, -2, -2, 1, 1, 1, 1, 1, -2, -2, -2, 4, 1, -2, -2, 1, -2, -2, -2, -2, 1, -2, 1, 1, 1, 4, 1, -2, 1, 1, 1, 4, -2, 1, -2, -2, -2, 1, 4, -2, 1, 0, 0, -2, -2, 1, -2, 4, 1, -2, -2, 1, 1, -2, 1, 1, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466864
    {'cdim': 2, 'counter': 27, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2w', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, -2, -2, 1, 1, -2, 4, -2, -2, 1, -2, -2, 1, 1, 1, 4, -2, -2, -2, -2, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, 4, 1, -2, 4, -2, 1, -2, 1, -2, 1, 1, 4, 0, -2, -2, -2, 1, 1, 1, 1, 1, -2, -2, -2, 4, 1, -2, 1, -2, -2, 4, 1, -2, -2, 4, 1, -2, -2, -2, 1, 1, -2, 1, 1, -2, -2, -2, 1, 4, 1, 1, -2, 1, 1, 0, 0, -2, -2, 1, -2, 4, 1, -2, -2, 1, 1, -2, 1, 1, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466865
    {'cdim': 2, 'counter': 28, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2x', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, -2, -2, 1, 1, 4, -2, 1, -2, -2, 1, -2, -2, 1, 1, -2, -2, -2, -2, 1, 1, -2, 4, -2, 1, -2, 1, -2, -2, 1, 1, 4, 1, 1, -2, 4, 1, -2, 1, 1, -2, 1, 4, 0, -2, -2, -2, -2, 1, -2, 1, 1, 1, -2, 4, -2, 1, 1, -2, -2, -2, 4, 1, -2, 1, -2, 1, 1, 1, -2, -2, 1, 1, -2, 1, 4, 4, -2, 1, -2, -2, 1, -2, 1, 1, 0, 0, -2, -2, 1, 1, -2, -2, 1, 4, 1, 1, -2, 1, -2, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466866
    {'cdim': 2, 'counter': 29, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2y', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, -2, -2, 1, 1, 4, -2, 1, -2, -2, 1, -2, -2, 1, 1, -2, 1, 1, 4, 1, 1, -2, -2, 1, 1, 1, -2, -2, 1, -2, -2, -2, -2, 1, 4, -2, 1, 4, 1, -2, 1, -2, 4, 0, -2, -2, -2, -2, 1, -2, 1, 1, 1, -2, 4, -2, 1, 1, 1, 1, 4, -2, -2, -2, 1, -2, -2, -2, 1, -2, 1, -2, -2, 1, -2, -2, -2, 1, 1, 4, 1, 1, 4, 1, 1, 0, 0, -2, -2, 1, 1, -2, -2, 1, 4, 1, 1, -2, 1, -2, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466868
    {'cdim': 2, 'counter': 30, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2z', 'multiplicity': 2, 'nt': [6, 5], 'qdim': 4, 'qvalues': [4, 4, -2, -2, 1, 1, 4, -2, 1, -2, -2, 1, -2, -2, 1, 1, 4, 1, 1, -2, -2, -2, 4, -2, 1, -2, 1, 1, 4, 1, 1, 1, -2, 1, -2, -2, -2, -2, -2, -2, 1, 1, 1, 4, 0, -2, -2, -2, -2, 1, -2, 1, 1, 1, -2, 4, -2, 1, 1, 1, 1, -2, -2, 1, 4, -2, 4, 1, 1, -2, 4, 1, 1, 1, 1, 1, -2, -2, 1, -2, -2, 1, -2, -2, -2, -2, 0, 0, -2, -2, 1, 1, -2, -2, 1, 4, 1, 1, -2, 1, -2, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466869
    {'cdim': 2, 'counter': 31, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2aa', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 4, 'qvalues': [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, -2, -2, -2, 0, 0, -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, 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], 'schur_index': 2}
  • id: 5466875
    {'cdim': 4, 'counter': 37, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4a', 'multiplicity': 1, 'nt': [16, 65], 'qdim': 4, 'qvalues': [4, -4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 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, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -1, -1, -1, -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], 'schur_index': 2}
  • id: 5466876
    {'cdim': 4, 'counter': 38, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4b', 'multiplicity': 1, 'nt': [48, 0], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -2, -2, -2, 4, 4, -2, -2, 4, -2, -2, -2, -2, -2, -2, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, -2, -2, 1, 1, 1, 1, -2, 1, 1, 0, 0, -4, -4, 2, 2, 2, 2, 2, 2, -4, 2, 2, -4, 2, -4, -1, 2, -1, 2, -1, -1, 2, 2, -1, 2, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, 2, -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], 'schur_index': 2}
  • id: 5466877
    {'cdim': 4, 'counter': 39, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4c', 'multiplicity': 1, 'nt': [48, 0], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -2, -2, -2, 4, 4, -2, -2, 4, -2, -2, -2, -2, 1, 1, 1, -2, 1, -2, -2, 1, 1, -2, -2, 1, 1, 1, -2, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, -2, 1, 0, 0, -4, -4, 2, 2, 2, 2, 2, 2, -4, 2, 2, -4, 2, -4, 2, -1, -1, -1, 2, -1, -1, -1, -1, -1, -1, 2, -1, 2, -1, -1, -1, 2, -1, -1, 2, -1, 2, -1, 2, 2, -1, 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: 5466879
    {'cdim': 4, 'counter': 40, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4d', 'multiplicity': 1, 'nt': [48, 0], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -2, -2, -2, 4, 4, -2, -2, 4, -2, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, -2, -2, -2, 1, 1, -2, 0, 0, -4, -4, 2, 2, 2, 2, 2, 2, -4, 2, 2, -4, 2, -4, -1, -1, 2, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, 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: 5466880
    {'cdim': 4, 'counter': 41, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4e', 'multiplicity': 1, 'nt': [48, 0], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -2, -2, 4, -2, -2, -2, 4, -2, -2, 4, -2, -2, -2, 1, 1, 1, -2, -2, -2, 1, 1, -2, 1, 1, -2, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, -2, 1, 1, 1, 0, 0, -4, -4, 2, -4, 2, -4, 2, 2, 2, 2, -4, 2, 2, 2, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, 2, 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: 5466881
    {'cdim': 4, 'counter': 42, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4f', 'multiplicity': 1, 'nt': [48, 0], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -2, -2, 4, -2, -2, -2, 4, -2, -2, 4, -2, -2, 1, -2, -2, 1, 1, 1, 1, -2, -2, 1, -2, 1, 1, -2, 1, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, 0, 0, -4, -4, 2, -4, 2, -4, 2, 2, 2, 2, -4, 2, 2, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, 2, -1, 2, 2, 2, -1, -1, 2, -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], 'schur_index': 2}
  • id: 5466882
    {'cdim': 4, 'counter': 43, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4g', 'multiplicity': 1, 'nt': [48, 0], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -2, -2, 4, -2, -2, -2, 4, -2, -2, 4, -2, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, -2, 1, -2, 1, -2, 1, 1, -2, 1, -2, 1, -2, 0, 0, -4, -4, 2, -4, 2, -4, 2, 2, 2, 2, -4, 2, 2, 2, -1, -1, 2, -1, 2, -1, -1, -1, 2, 2, -1, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, 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: 5466883
    {'cdim': 4, 'counter': 44, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4h', 'multiplicity': 1, 'nt': [48, 0], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -2, 4, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, -2, 1, -2, 1, -2, 1, 1, -2, -2, 0, 0, -4, -4, -4, 2, 2, 2, 2, -4, 2, 2, 2, 2, -4, 2, 2, -1, 2, -1, -1, -1, 2, 2, 2, -1, 2, -1, -1, -1, -1, -1, 2, 2, -1, -1, -1, -1, 2, -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], 'schur_index': 2}
  • id: 5466884
    {'cdim': 4, 'counter': 45, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4i', 'multiplicity': 1, 'nt': [48, 0], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -2, 4, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, 1, -2, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, 1, -2, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, 0, 0, -4, -4, -4, 2, 2, 2, 2, -4, 2, 2, 2, 2, -4, 2, -1, 2, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, -1, 2, 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], 'schur_index': 2}
  • id: 5466885
    {'cdim': 4, 'counter': 46, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4j', 'multiplicity': 1, 'nt': [48, 0], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -2, 4, -2, -2, -2, -2, -2, -2, 4, -2, -2, 4, 1, 1, 1, 1, 1, -2, -2, -2, -2, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, -2, 1, 1, 0, 0, -4, -4, -4, 2, 2, 2, 2, -4, 2, 2, 2, 2, -4, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 2, -1, 2, 2, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, -1, -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], 'schur_index': 2}
  • id: 5466886
    {'cdim': 4, 'counter': 47, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4k', 'multiplicity': 1, 'nt': [48, 0], 'qdim': 4, 'qvalues': [4, -4, 4, 4, 4, -2, -2, -2, -2, 4, -2, -2, -2, -2, 4, -2, -2, 1, 1, -2, -2, 1, 1, -2, -2, 1, 1, 1, 1, -2, -2, 1, 1, -2, -2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, -4, -4, 2, 2, -4, 2, -4, 2, 2, -4, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, 2, 2, -1, -1, 2, -1, 2, 2, -1, 2, -1, -1, 2, -1, -1, -1, -1, -1, 2, -1, -1, 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: 5466887
    {'cdim': 4, 'counter': 48, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4l', 'multiplicity': 1, 'nt': [48, 0], 'qdim': 4, 'qvalues': [4, -4, 4, 4, 4, -2, -2, -2, -2, 4, -2, -2, -2, -2, 4, -2, 1, -2, -2, 1, 1, -2, -2, 1, 1, -2, 1, -2, 1, 1, 1, 1, -2, 1, 1, 1, 1, 1, -2, 1, 1, 1, -2, 0, 0, -4, -4, 2, 2, -4, 2, -4, 2, 2, -4, 2, 2, 2, 2, -1, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -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], 'schur_index': 2}
  • id: 5466888
    {'cdim': 4, 'counter': 49, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4m', 'multiplicity': 1, 'nt': [48, 0], 'qdim': 4, 'qvalues': [4, -4, 4, 4, 4, -2, -2, -2, -2, 4, -2, -2, -2, -2, 4, -2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -2, 1, -2, 1, 1, -2, 1, 1, 1, -2, -2, -2, 1, -2, -2, -2, 1, 0, 0, -4, -4, 2, 2, -4, 2, -4, 2, 2, -4, 2, 2, 2, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, -1, -1, 2, -1, -1, 2, -1, -1, -1, 2, 2, 2, -1, -1, 2, 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: 5466873
    {'cdim': 3, 'counter': 35, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.3c', 'multiplicity': 2, 'nt': [12, 45], 'qdim': 6, 'qvalues': [6, 6, -3, -3, -3, -3, 6, 6, -3, 6, -3, -3, 6, -3, -3, -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, -2, 2, -3, -3, 6, -3, -3, -3, -3, -3, -3, 6, 6, 6, -3, -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, -2, -2, 1, 1, 1, 1, -2, 1, 1, -2, 1, 1, -2, 1, 1, -2, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5466874
    {'cdim': 3, 'counter': 36, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.3d', 'multiplicity': 2, 'nt': [18, 30], 'qdim': 6, 'qvalues': [6, 6, -3, -3, -3, -3, 6, 6, -3, 6, -3, -3, 6, -3, -3, -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, -2, -2, -3, -3, 6, -3, -3, -3, -3, -3, -3, 6, 6, 6, -3, -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, 2, 2, 1, 1, 1, 1, -2, 1, 1, -2, 1, 1, -2, 1, 1, -2, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5466904
    {'cdim': 6, 'counter': 63, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.6a', 'multiplicity': 1, 'nt': [12, 44], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, -3, -3, 6, 6, -3, -3, 6, -3, -3, -3, -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, -2, 0, 6, 6, -3, -3, -3, -3, -3, -3, 6, -3, -3, 6, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 1, -2, -2, 1, -2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466905
    {'cdim': 6, 'counter': 64, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.6b', 'multiplicity': 1, 'nt': [12, 44], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, -3, 6, -3, -3, -3, 6, -3, -3, 6, -3, -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, -2, 0, 6, 6, -3, 6, -3, 6, -3, -3, -3, -3, 6, -3, -3, -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, -2, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, 1, -2, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466906
    {'cdim': 6, 'counter': 65, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.6c', 'multiplicity': 1, 'nt': [12, 44], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -3, 6, -3, -3, -3, -3, -3, -3, 6, -3, -3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 6, 6, 6, -3, -3, -3, -3, 6, -3, -3, -3, -3, 6, -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, -2, -2, 1, 1, 1, 1, 1, 1, -2, 1, 1, -2, 1, -2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466907
    {'cdim': 6, 'counter': 66, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.6d', 'multiplicity': 1, 'nt': [12, 44], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, -3, -3, -3, -3, 6, -3, -3, -3, -3, 6, -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, -2, 0, 6, 6, -3, -3, 6, -3, 6, -3, -3, 6, -3, -3, -3, -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, -2, -2, -2, 1, 1, 1, 1, 1, 1, -2, -2, 1, 1, 1, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466870
    {'cdim': 2, 'counter': 32, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.2ab', 'multiplicity': 4, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, -4, -4, -4, -4, 8, 8, -4, 8, -4, -4, 8, -4, -4, -4, -4, 2, 2, -4, 2, 2, -4, -4, 2, 2, 2, 2, -4, 2, 2, 2, -4, 2, 2, -4, -4, 2, -4, 2, 2, 2, 2, 0, 0, 4, 4, -8, 4, 4, 4, 4, 4, 4, -8, -8, -8, 4, 4, -2, -2, 4, 4, -2, 4, -2, 4, -2, -2, -2, 4, -2, -2, -2, -2, -2, 4, 4, -2, -2, 4, -2, -2, 4, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466890
    {'cdim': 4, 'counter': 50, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4n', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, -4, -4, -4, -4, 8, 8, -4, 8, -4, -4, 8, -4, -4, -4, 2, -1, -1, 2, -1, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, -1, 2, -1, -1, 2, 2, -1, 2, -1, -1, -1, -1, 0, 0, 4, 4, -8, 4, 4, 4, 4, 4, 4, -8, -8, -8, 4, 4, 1, 1, -2, -2, 1, -2, 1, -2, 1, 1, 1, -2, 1, 1, 1, 1, 1, -2, -2, 1, 1, -2, 1, 1, -2, 1, 1, 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: 5466891
    {'cdim': 4, 'counter': 51, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4o', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, -4, -4, -4, 2, -4, -4, 2, 8, 2, 2, -4, 2, -4, 2, -4, -1, -1, -4, 2, -1, 2, -4, 2, -1, -1, -1, 2, 2, 2, -1, 2, 2, 2, 2, 2, -1, 2, -1, -1, -1, -1, 0, 0, 4, 4, 4, -2, 4, -2, 4, -2, -2, -8, 4, 4, -2, -2, 1, 1, -2, -2, -2, -2, -2, 4, 1, 1, -2, -2, -2, -2, 1, -2, 1, -2, 4, 1, 1, -2, 1, 1, 4, 1, 1, 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: 5466892
    {'cdim': 4, 'counter': 52, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4p', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, -4, -4, -4, 2, -4, -4, 2, 8, 2, 2, -4, 2, -4, 2, 2, -1, -1, 2, -1, -1, 2, 2, -1, -1, 2, -1, -4, -1, -1, 2, 2, -1, -1, -4, -4, 2, 2, 2, 2, 2, -1, 0, 0, 4, 4, 4, -2, 4, -2, 4, -2, -2, -8, 4, 4, -2, -2, -2, 1, -2, -2, 1, 4, 1, -2, 1, -2, 1, -2, 1, 1, -2, 1, 1, 4, -2, 1, 1, 4, -2, -2, -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], 'schur_index': 1}
  • id: 5466893
    {'cdim': 4, 'counter': 53, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4q', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, -4, -4, -4, 2, -4, -4, 2, 8, 2, 2, -4, 2, -4, 2, 2, 2, 2, 2, -1, 2, -4, 2, -1, 2, -1, 2, 2, -1, -1, -1, -4, -1, -1, 2, 2, -1, -4, -1, -1, -1, 2, 0, 0, 4, 4, 4, -2, 4, -2, 4, -2, -2, -8, 4, 4, -2, -2, 1, -2, 4, 4, 1, -2, 1, -2, -2, 1, 1, 4, 1, 1, 1, 1, -2, -2, -2, -2, -2, -2, 1, 1, -2, -2, 1, 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: 5466894
    {'cdim': 4, 'counter': 54, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4r', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, -4, -4, 2, -4, -4, -4, 2, -4, 2, 2, 8, 2, 2, -4, -4, -1, -1, 2, 2, -1, 2, 2, -1, -1, 2, 2, 2, -1, -1, -1, 2, -1, 2, 2, -4, -1, -4, -1, -1, 2, 2, 0, 0, 4, 4, -8, -2, -2, -2, -2, 4, -2, 4, 4, 4, 4, -2, -2, 1, 4, -2, 1, -2, -2, 4, -2, 1, -2, -2, 1, 1, 1, 1, -2, 4, -2, 1, 1, -2, -2, 1, -2, 1, 1, 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: 5466895
    {'cdim': 4, 'counter': 55, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4s', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, -4, -4, 2, -4, -4, -4, 2, -4, 2, 2, 8, 2, 2, -4, 2, -1, -1, 2, -1, 2, -4, -4, 2, 2, -1, -1, 2, 2, -1, 2, 2, -1, -1, -4, 2, -1, 2, -1, 2, -1, -1, 0, 0, 4, 4, -8, -2, -2, -2, -2, 4, -2, 4, 4, 4, 4, -2, 1, 1, -2, -2, 1, -2, 1, -2, 1, -2, 1, 4, -2, 1, -2, -2, 1, -2, 4, 1, -2, 4, 1, 1, -2, -2, 1, 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: 5466896
    {'cdim': 4, 'counter': 56, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4t', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, -4, -4, 2, -4, -4, -4, 2, -4, 2, 2, 8, 2, 2, -4, 2, 2, 2, -4, -1, -1, 2, 2, -1, -1, -1, -1, -4, -1, 2, -1, -4, 2, -1, 2, 2, 2, 2, 2, -1, -1, -1, 0, 0, 4, 4, -8, -2, -2, -2, -2, 4, -2, 4, 4, 4, 4, -2, 1, -2, -2, 4, -2, 4, 1, -2, 1, 1, 1, -2, 1, -2, 1, 1, 1, -2, -2, -2, 1, -2, 1, -2, 4, 1, -2, 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: 5466897
    {'cdim': 4, 'counter': 57, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4u', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, -4, -4, 2, 2, -4, 8, -4, -4, 2, -4, -4, 2, 2, 2, -4, 2, 2, 2, 2, -1, 2, 2, -1, -1, -1, -1, 2, -1, -1, 2, -4, -1, 2, -4, 2, -1, 2, -1, 2, -1, -1, 0, 0, 4, 4, 4, -2, -2, -2, -2, -2, 4, 4, 4, -8, -2, 4, 1, -2, -2, 4, 1, -2, -2, 4, 1, -2, -2, -2, 1, 1, -2, 1, 1, -2, -2, -2, 1, 4, 1, 1, -2, 1, 1, 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: 5466898
    {'cdim': 4, 'counter': 58, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4v', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, -4, -4, 2, 2, -4, 8, -4, -4, 2, -4, -4, 2, 2, 2, 2, -1, -1, -4, -1, 2, -4, 2, -1, 2, 2, -1, 2, -1, 2, -1, 2, 2, -1, 2, -4, -1, 2, -1, -1, 2, -1, 0, 0, 4, 4, 4, -2, -2, -2, -2, -2, 4, 4, 4, -8, -2, 4, -2, 1, -2, -2, -2, -2, 1, -2, 1, 1, 1, 4, 1, -2, 1, 1, 1, 4, -2, 1, -2, -2, -2, 1, 4, -2, 1, 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: 5466899
    {'cdim': 4, 'counter': 59, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4w', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, -4, -4, 2, 2, -4, 8, -4, -4, 2, -4, -4, 2, 2, 2, 2, -1, -1, 2, -1, -1, 2, -4, 2, -1, -1, 2, -4, 2, -1, -1, 2, -1, -1, 2, 2, 2, -4, 2, -1, -1, 2, 0, 0, 4, 4, 4, -2, -2, -2, -2, -2, 4, 4, 4, -8, -2, 4, 1, 1, 4, -2, 1, 4, 1, -2, -2, 1, 1, -2, -2, 1, 1, -2, -2, -2, 4, 1, 1, -2, 1, -2, -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], 'schur_index': 1}
  • id: 5466901
    {'cdim': 4, 'counter': 60, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4x', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, -4, -4, 2, 2, 8, -4, 2, -4, -4, 2, -4, -4, 2, 2, -4, -1, -1, 2, 2, 2, -4, 2, -1, 2, -1, -1, -4, -1, -1, -1, 2, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, 0, 0, 4, 4, 4, 4, -2, 4, -2, -2, -2, 4, -8, 4, -2, -2, 1, 1, -2, -2, 1, 4, -2, 4, 1, 1, -2, 4, 1, 1, 1, 1, 1, -2, -2, 1, -2, -2, 1, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466902
    {'cdim': 4, 'counter': 61, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4y', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, -4, -4, 2, 2, 8, -4, 2, -4, -4, 2, -4, -4, 2, 2, 2, -1, -1, -4, -1, -1, 2, 2, -1, -1, -1, 2, 2, -1, 2, 2, 2, 2, -1, -4, 2, -1, -4, -1, 2, -1, 2, 0, 0, 4, 4, 4, 4, -2, 4, -2, -2, -2, 4, -8, 4, -2, -2, 1, 1, 4, -2, -2, -2, 1, -2, -2, -2, 1, -2, 1, -2, -2, 1, -2, -2, -2, 1, 1, 4, 1, 1, 4, 1, 1, 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: 5466903
    {'cdim': 4, 'counter': 62, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.4z', 'multiplicity': 2, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, -4, -4, 2, 2, 8, -4, 2, -4, -4, 2, -4, -4, 2, 2, 2, 2, 2, 2, -1, -1, 2, -4, 2, -1, 2, -1, 2, 2, -1, -1, -4, -1, -1, 2, -4, -1, 2, -1, -1, 2, -1, 0, 0, 4, 4, 4, 4, -2, 4, -2, -2, -2, 4, -8, 4, -2, -2, -2, -2, -2, 4, 1, -2, 1, -2, 1, 1, 1, -2, -2, 1, 1, -2, 1, 4, 4, -2, 1, -2, -2, 1, -2, 1, 1, 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: 5466908
    {'cdim': 6, 'counter': 67, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.6e', 'multiplicity': 2, 'nt': [24, 564], 'qdim': 12, 'qvalues': [12, 12, -6, -6, -6, 3, -6, -6, 3, 12, 3, 3, -6, 3, -6, 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, -4, 0, -6, -6, -6, 3, -6, 3, -6, 3, 3, 12, -6, -6, 3, 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, 2, 2, 2, -1, 2, -1, -1, 2, -1, 2, -4, -1, -1, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466909
    {'cdim': 6, 'counter': 68, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.6f', 'multiplicity': 2, 'nt': [24, 564], 'qdim': 12, 'qvalues': [12, 12, -6, -6, 3, -6, -6, -6, 3, -6, 3, 3, 12, 3, 3, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, -6, -6, 12, 3, 3, 3, 3, -6, 3, -6, -6, -6, -6, 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, 2, 2, -1, -1, 2, -1, -1, 2, 2, -1, 2, 2, -1, -4, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466910
    {'cdim': 6, 'counter': 69, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.6g', 'multiplicity': 2, 'nt': [24, 564], 'qdim': 12, 'qvalues': [12, 12, -6, -6, 3, 3, -6, 12, -6, -6, 3, -6, -6, 3, 3, 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, -4, 0, -6, -6, -6, 3, 3, 3, 3, 3, -6, -6, -6, 12, 3, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -1, 2, -4, -1, 2, 2, -1, -1, 2, -1, -1, 2, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5466912
    {'cdim': 6, 'counter': 70, 'faithful': False, 'group': '1296.3279', 'group_order': 1296, 'image': None, 'label': '1296.3279.6h', 'multiplicity': 2, 'nt': [24, 564], 'qdim': 12, 'qvalues': [12, 12, -6, -6, 3, 3, 12, -6, 3, -6, -6, 3, -6, -6, 3, 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, -4, 0, -6, -6, -6, -6, 3, -6, 3, 3, 3, -6, 12, -6, 3, 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, 2, 2, -1, -1, 2, 2, -1, -4, -1, -1, 2, -1, 2, 2, 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: 10655942
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 1296, 'label': '1296.3279.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 10655962
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 648, 'label': '1296.3279.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 10655973
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 3, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 432, 'label': '1296.3279.1c1', 'nt': [3, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]]]}
  • id: 10655984
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 4, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 432, 'label': '1296.3279.1c2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]]]}
  • id: 10655995
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 5, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 216, 'label': '1296.3279.1d1', 'nt': [6, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[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, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]]]}
  • id: 10656006
    {'center': '1.a1', 'center_index': 1, 'center_order': 1296, 'counter': 6, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 216, 'label': '1296.3279.1d2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[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, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]]]}
  • id: 10656017
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 7, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3279.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 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]]]}
  • id: 10655991
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 46, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '48.28', 'image_order': 48, 'indicator': -1, 'kernel': '48.a1', 'kernel_order': 27, 'label': '1296.3279.2aa1', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 10655992
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 47, 'cyclotomic_n': 8, 'dim': 2, 'faithful': False, 'field': [-2, 0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '48.28', 'image_order': 48, 'indicator': -1, 'kernel': '48.a1', 'kernel_order': 27, 'label': '1296.3279.2aa2', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 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]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 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]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 10655993
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 48, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.121', 'image_order': 144, 'indicator': 0, 'kernel': '144.b1', 'kernel_order': 9, 'label': '1296.3279.2ab1', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 4]], [[2, 8]], [[2, 8]], [[-2, 4]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 0]], [[2, 8]], [[2, 8]], [[2, 0]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[-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, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]], [[-1, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]]]}
  • id: 10655994
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 49, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.121', 'image_order': 144, 'indicator': 0, 'kernel': '144.b1', 'kernel_order': 9, 'label': '1296.3279.2ab2', 'nt': [48, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[2, 0]], [[2, 0]], [[2, 8]], [[2, 0]], [[-2, 4]], [[-2, 4]], [[2, 0]], [[2, 8]], [[2, 8]], [[-2, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-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, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]]]}
  • id: 10655996
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 50, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.121', 'image_order': 144, 'indicator': 0, 'kernel': '144.b1', 'kernel_order': 9, 'label': '1296.3279.2ab3', 'nt': [48, 0], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 4]], [[2, 8]], [[2, 8]], [[-2, 4]], [[2, 0]], [[2, 0]], [[-2, 4]], [[2, 0]], [[2, 8]], [[2, 8]], [[2, 0]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[0, 0]], [[0, 0]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 8]], [[2, 4]], [[1, 8]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[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, 3], [1, 5], [1, 7]], [[-1, 1], [-1, 7]], [[1, 1], [1, 7]], [[1, 3], [-1, 5], [-1, 7]]]}
  • id: 10655997
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 51, 'cyclotomic_n': 24, 'dim': 2, 'faithful': False, 'field': [4, 0, 2, 0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.121', 'image_order': 144, 'indicator': 0, 'kernel': '144.b1', 'kernel_order': 9, 'label': '1296.3279.2ab4', 'nt': [48, 4], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 8]], [[-2, 4]], [[-2, 4]], [[2, 8]], [[2, 0]], [[2, 0]], [[2, 8]], [[2, 0]], [[-2, 4]], [[-2, 4]], [[2, 0]], [[2, 8]], [[2, 8]], [[-2, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 8]], [[-1, 0]], [[1, 4]], [[-1, 8]], [[-1, 0]], [[-1, 0]], [[1, 4]], [[-1, 0]], [[-1, 8]], [[1, 4]], [[-1, 8]], [[1, 4]], [[0, 0]], [[0, 0]], [[2, 4]], [[-2, 8]], [[-2, 0]], [[2, 4]], [[2, 4]], [[-2, 8]], [[-2, 8]], [[-2, 8]], [[2, 4]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 4]], [[-2, 8]], [[-1, 4]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[-1, 4]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 0]], [[-1, 4]], [[-1, 4]], [[1, 0]], [[1, 8]], [[1, 8]], [[1, 0]], [[1, 8]], [[-1, 4]], [[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, 1], [-1, 7]], [[-1, 3], [1, 5], [1, 7]], [[1, 3], [-1, 5], [-1, 7]], [[1, 1], [1, 7]]]}
  • id: 10656028
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 8, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3279.2b', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 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]]]}
  • id: 10656039
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 9, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3279.2c', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 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]]]}
  • id: 10655943
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 10, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3279.2d', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655953
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 11, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3279.2e', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655954
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 12, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3279.2f', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655955
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  • id: 10655956
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 14, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3279.2h', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655957
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 15, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3279.2i', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655958
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 16, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3279.2j', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655959
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 17, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3279.2k', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655960
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 18, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 216, 'label': '1296.3279.2l', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655961
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 19, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.b1', 'kernel_order': 216, 'label': '1296.3279.2m', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 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]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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]], [[2, 0]], [[2, 0]], [[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]]]}
  • id: 10655963
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 20, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.d1', 'kernel_order': 72, 'label': '1296.3279.2n1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[0, 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, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-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, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655964
    {'center': '6.b1', 'center_index': 6, 'center_order': 216, 'counter': 21, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.d1', 'kernel_order': 72, 'label': '1296.3279.2n2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[0, 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, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-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, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655965
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 22, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2o1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655966
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 23, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2o2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655967
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 24, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2p1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[2, 0]], [[2, 1]], [[-1, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655968
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 25, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2p2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[2, 0]], [[2, -1]], [[-1, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655969
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 26, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2q1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 0]], [[2, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655970
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 27, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2q2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, 0]], [[2, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655971
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 28, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2r1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[2, 0]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[2, 0]], [[2, 1]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[2, 0]], [[-1, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655972
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 29, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2r2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[2, 0]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[2, 0]], [[2, -1]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[2, 0]], [[-1, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655974
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 30, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2s1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[2, 0]], [[2, 1]], [[-1, -1]], [[2, -1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[2, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655975
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 31, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2s2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, -1]], [[2, 0]], [[2, -1]], [[-1, 1]], [[2, 1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[2, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655976
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 32, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2t1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[2, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655977
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 33, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2t2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[2, -1]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655978
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 34, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2u1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[2, 0]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[2, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[2, -1]], [[2, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655979
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 35, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2u2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[2, 0]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[2, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[2, 1]], [[2, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655980
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 36, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2v1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[2, 0]], [[2, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[2, -1]], [[2, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655981
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 37, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2v2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[2, 0]], [[2, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[2, 1]], [[2, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655982
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 38, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2w1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[2, 0]], [[-1, 1]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[2, 0]], [[-1, 1]], [[2, 1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[2, -1]], [[2, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655983
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 39, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2w2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[2, 0]], [[-1, -1]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[2, 0]], [[-1, -1]], [[2, -1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[2, 1]], [[2, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655985
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 40, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2x1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[2, -1]], [[-1, 1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[-1, -1]], [[2, 0]], [[2, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655986
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 41, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2x2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[2, 1]], [[-1, -1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[2, 0]], [[2, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655987
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 42, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2y1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[2, -1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[2, 1]], [[-1, -1]], [[2, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[2, -1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655988
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 43, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2y2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[2, 1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[2, -1]], [[-1, 1]], [[2, -1]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[2, 1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655989
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 44, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2z1', 'nt': [6, 5], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655990
    {'center': '6.a1', 'center_index': 6, 'center_order': 216, 'counter': 45, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '18.3', 'image_order': 18, 'indicator': 0, 'kernel': '18.c1', 'kernel_order': 72, 'label': '1296.3279.2z2', 'nt': [6, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655998
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 52, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '24.12', 'image_order': 24, 'indicator': 1, 'kernel': '24.a1', 'kernel_order': 54, 'label': '1296.3279.3a', 'nt': [4, 5], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 10655999
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 53, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '24.12', 'image_order': 24, 'indicator': 1, 'kernel': '24.a1', 'kernel_order': 54, 'label': '1296.3279.3b', 'nt': [6, 8], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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: 10656000
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 54, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 18, 'label': '1296.3279.3c1', 'nt': [12, 45], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 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]], [[-1, 0]], [[1, 0]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -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]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]]]}
  • id: 10656001
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 55, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 18, 'label': '1296.3279.3c2', 'nt': [12, 2], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -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]], [[-1, 0]], [[1, 0]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 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]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]]]}
  • id: 10656002
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 56, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 18, 'label': '1296.3279.3d1', 'nt': [18, 30], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 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]], [[-1, 0]], [[-1, 0]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, -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]], [[1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]]]}
  • id: 10656003
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 57, 'cyclotomic_n': 3, 'dim': 3, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '72.42', 'image_order': 72, 'indicator': 0, 'kernel': '72.b1', 'kernel_order': 18, 'label': '1296.3279.3d2', 'nt': [18, 2], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 1]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, 0]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 0]], [[3, 1]], [[3, 1]], [[3, -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]], [[-1, 0]], [[-1, 0]], [[3, -1]], [[3, 1]], [[3, 0]], [[3, -1]], [[3, -1]], [[3, 1]], [[3, 1]], [[3, 1]], [[3, -1]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, -1]], [[3, 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]], [[1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]]]}
  • id: 10656004
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 58, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '48.28', 'image_order': 48, 'indicator': -1, 'kernel': '48.a1', 'kernel_order': 27, 'label': '1296.3279.4a', 'nt': [16, 65], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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]]]}
  • id: 10656005
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 59, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.124', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3279.4b', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-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]]]}
  • id: 10656007
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 60, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.124', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3279.4c', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 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]]]}
  • id: 10656008
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 61, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.124', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3279.4d', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 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]], [[1, 0]], [[1, 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]], [[1, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]]]}
  • id: 10656009
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 62, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.124', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3279.4e', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656010
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 63, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.124', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3279.4f', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 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]]]}
  • id: 10656011
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 64, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.124', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3279.4g', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 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]]]}
  • id: 10656012
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 65, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.124', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3279.4h', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 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]]]}
  • id: 10656013
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 66, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.124', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3279.4i', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[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]]]}
  • id: 10656014
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 67, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.124', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3279.4j', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 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]]]}
  • id: 10656015
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 68, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.124', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3279.4k', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 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]]]}
  • id: 10656016
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 69, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.124', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3279.4l', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 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]]]}
  • id: 10656018
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 70, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.124', 'image_order': 144, 'indicator': -1, 'kernel': '144.a1', 'kernel_order': 9, 'label': '1296.3279.4m', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-1, 0]], [[-1, 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]]]}
  • id: 10656019
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 71, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.121', 'image_order': 144, 'indicator': 0, 'kernel': '144.b1', 'kernel_order': 9, 'label': '1296.3279.4n1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, -1]], [[4, 1]], [[4, 1]], [[4, -1]], [[4, 0]], [[4, 0]], [[4, -1]], [[4, 0]], [[4, 1]], [[4, 1]], [[4, 0]], [[4, -1]], [[4, -1]], [[4, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[-4, 0]], [[-4, 1]], [[-4, 1]], [[-4, -1]], [[-4, -1]], [[-4, -1]], [[-4, 1]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 1]], [[-4, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-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, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656020
    {'center': '24.a1', 'center_index': 24, 'center_order': 54, 'counter': 72, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '144.121', 'image_order': 144, 'indicator': 0, 'kernel': '144.b1', 'kernel_order': 9, 'label': '1296.3279.4n2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 1]], [[4, -1]], [[4, -1]], [[4, 1]], [[4, 0]], [[4, 0]], [[4, 1]], [[4, 0]], [[4, -1]], [[4, -1]], [[4, 0]], [[4, 1]], [[4, 1]], [[4, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[-4, 0]], [[-4, -1]], [[-4, -1]], [[-4, 1]], [[-4, 1]], [[-4, 1]], [[-4, -1]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, -1]], [[-4, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-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, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656021
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 73, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4o1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, -1]], [[4, 1]], [[4, 1]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[4, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[4, -1]], [[-2, 1]], [[-2, 0]], [[1, -1]], [[1, 1]], [[-2, 0]], [[-2, 1]], [[1, -1]], [[1, 0]], [[-2, 0]], [[-2, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-2, 1]], [[-2, -1]], [[1, -1]], [[1, 0]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[2, 0]], [[2, 1]], [[-4, 1]], [[2, -1]], [[-4, -1]], [[2, -1]], [[2, 1]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 0]], [[2, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[2, 1]], [[2, -1]], [[-1, -1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656022
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 74, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4o2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 1]], [[4, -1]], [[4, -1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[4, 0]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[4, 1]], [[-2, -1]], [[-2, 0]], [[1, 1]], [[1, -1]], [[-2, 0]], [[-2, -1]], [[1, 1]], [[1, 0]], [[-2, 0]], [[-2, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-2, -1]], [[-2, 1]], [[1, 1]], [[1, 0]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[2, 0]], [[2, -1]], [[-4, -1]], [[2, 1]], [[-4, 1]], [[2, 1]], [[2, -1]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, 0]], [[2, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[2, -1]], [[2, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656023
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 75, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4p1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, -1]], [[4, 1]], [[4, 1]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[4, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[4, -1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-2, 1]], [[1, -1]], [[-2, 0]], [[1, 1]], [[1, -1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[1, 0]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[2, 0]], [[2, 1]], [[-4, 1]], [[2, -1]], [[-4, -1]], [[2, -1]], [[2, 1]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656024
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 76, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4p2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 1]], [[4, -1]], [[4, -1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[4, 0]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[4, 1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-2, -1]], [[1, 1]], [[-2, 0]], [[1, -1]], [[1, 1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[1, 0]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[2, 0]], [[2, -1]], [[-4, -1]], [[2, 1]], [[-4, 1]], [[2, 1]], [[2, -1]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656025
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 77, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4q1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, -1]], [[4, 1]], [[4, 1]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[4, 0]], [[-2, 1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[4, -1]], [[-2, 1]], [[1, 0]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[1, 1]], [[-2, -1]], [[-2, 0]], [[1, 0]], [[1, -1]], [[-2, 1]], [[1, 1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[-2, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 1]], [[-2, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[2, 0]], [[2, 1]], [[-4, 1]], [[2, -1]], [[-4, -1]], [[2, -1]], [[2, 1]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656026
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 78, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4q2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 1]], [[4, -1]], [[4, -1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[4, 0]], [[-2, -1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[4, 1]], [[-2, -1]], [[1, 0]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[1, -1]], [[-2, 1]], [[-2, 0]], [[1, 0]], [[1, 1]], [[-2, -1]], [[1, -1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[-2, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, -1]], [[-2, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[2, 0]], [[2, -1]], [[-4, -1]], [[2, 1]], [[-4, 1]], [[2, 1]], [[2, -1]], [[-4, 0]], [[2, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656027
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 79, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4r1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, -1]], [[4, 1]], [[-2, 1]], [[4, -1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[4, 0]], [[-2, -1]], [[-2, -1]], [[4, 1]], [[-2, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-2, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[-2, -1]], [[1, 0]], [[-2, 0]], [[1, 1]], [[-2, 0]], [[1, -1]], [[1, 1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[-4, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-4, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 1]], [[2, -1]], [[2, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[2, 0]], [[2, 1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656029
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 80, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4r2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 1]], [[4, -1]], [[-2, -1]], [[4, 1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[4, 0]], [[-2, 1]], [[-2, 1]], [[4, -1]], [[-2, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-2, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[-2, 1]], [[1, 0]], [[-2, 0]], [[1, -1]], [[-2, 0]], [[1, 1]], [[1, -1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[-4, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[-4, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, -1]], [[2, 1]], [[2, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[2, 0]], [[2, -1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656030
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 81, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4s1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, -1]], [[4, 1]], [[-2, 1]], [[4, -1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[4, 0]], [[-2, -1]], [[-2, -1]], [[4, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[-2, -1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-2, 1]], [[1, -1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-2, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[-2, 1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[-4, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-4, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[2, 0]], [[2, 1]], [[-1, -1]], [[2, -1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[2, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656031
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 82, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4s2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 1]], [[4, -1]], [[-2, -1]], [[4, 1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[4, 0]], [[-2, 1]], [[-2, 1]], [[4, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[-2, 1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-2, -1]], [[1, 1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-2, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[-2, -1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[-4, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[-4, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, -1]], [[2, 0]], [[2, -1]], [[-1, 1]], [[2, 1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[2, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656032
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 83, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4t1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, -1]], [[4, 1]], [[-2, 1]], [[4, -1]], [[-2, 0]], [[-2, 0]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[4, 0]], [[-2, -1]], [[-2, -1]], [[4, 1]], [[1, 0]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-2, 0]], [[1, 1]], [[-2, -1]], [[1, -1]], [[-2, 0]], [[-2, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-2, 1]], [[1, 0]], [[-2, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[-4, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[-4, -1]], [[2, 1]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, 1]], [[2, -1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[2, 0]], [[2, 1]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[2, 0]], [[-1, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656033
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 84, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4t2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 1]], [[4, -1]], [[-2, -1]], [[4, 1]], [[-2, 0]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[4, 0]], [[-2, 1]], [[-2, 1]], [[4, -1]], [[1, 0]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-2, 0]], [[1, -1]], [[-2, 1]], [[1, 1]], [[-2, 0]], [[-2, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-2, -1]], [[1, 0]], [[-2, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[-4, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[-4, 1]], [[2, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[-4, -1]], [[2, 1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[2, 0]], [[2, -1]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[2, 0]], [[-1, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656034
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 85, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4u1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, -1]], [[4, 1]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[4, 0]], [[4, -1]], [[-2, 0]], [[-2, 1]], [[4, 1]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[-2, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-2, -1]], [[-2, 0]], [[1, 1]], [[-2, -1]], [[-2, 0]], [[1, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[-2, 1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[-4, 1]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 1]], [[-4, -1]], [[-1, 1]], [[2, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[2, 0]], [[-1, 1]], [[2, 1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656035
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 86, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4u2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 1]], [[4, -1]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[4, 0]], [[4, 1]], [[-2, 0]], [[-2, -1]], [[4, -1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[-2, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-2, 1]], [[-2, 0]], [[1, -1]], [[-2, 1]], [[-2, 0]], [[1, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[-2, -1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-4, -1]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, -1]], [[-4, 1]], [[-1, -1]], [[2, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[2, 0]], [[-1, -1]], [[2, -1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656036
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 87, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4v1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, -1]], [[4, 1]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[4, 0]], [[4, -1]], [[-2, 0]], [[-2, 1]], [[4, 1]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-2, 0]], [[1, 1]], [[-2, -1]], [[-2, 0]], [[1, 0]], [[1, -1]], [[-2, 1]], [[-2, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[-2, -1]], [[1, -1]], [[1, 0]], [[-2, 1]], [[1, -1]], [[1, 0]], [[-2, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-2, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[-4, 1]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 1]], [[-4, -1]], [[2, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[2, 0]], [[2, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656037
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 88, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4v2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 1]], [[4, -1]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[4, 0]], [[4, 1]], [[-2, 0]], [[-2, -1]], [[4, -1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-2, 0]], [[1, -1]], [[-2, 1]], [[-2, 0]], [[1, 0]], [[1, 1]], [[-2, -1]], [[-2, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[-2, 1]], [[1, 1]], [[1, 0]], [[-2, -1]], [[1, 1]], [[1, 0]], [[-2, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-2, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-4, -1]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, -1]], [[-4, 1]], [[2, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[2, 0]], [[2, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656038
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 89, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4w1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, -1]], [[4, 1]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[4, 0]], [[4, -1]], [[-2, 0]], [[-2, 1]], [[4, 1]], [[-2, 0]], [[-2, -1]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-2, 0]], [[-2, -1]], [[1, 1]], [[1, 1]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[1, 1]], [[1, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[2, 0]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, -1]], [[2, -1]], [[-4, 1]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, 1]], [[-4, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[2, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656040
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 90, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4w2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 1]], [[4, -1]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[4, 0]], [[4, 1]], [[-2, 0]], [[-2, -1]], [[4, -1]], [[-2, 0]], [[-2, 1]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-2, 0]], [[-2, 1]], [[1, -1]], [[1, -1]], [[-2, 1]], [[-2, 0]], [[-2, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-2, -1]], [[-2, 0]], [[-2, 1]], [[1, -1]], [[1, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[2, 0]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 1]], [[2, 1]], [[-4, -1]], [[2, 0]], [[2, 0]], [[-4, 0]], [[2, -1]], [[-4, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[2, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656041
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 91, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4x1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, -1]], [[4, 1]], [[-2, 1]], [[-2, -1]], [[4, 0]], [[-2, 0]], [[-2, -1]], [[-2, 0]], [[4, 1]], [[-2, 1]], [[-2, 0]], [[4, -1]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[1, 0]], [[1, -1]], [[-2, 1]], [[1, 1]], [[1, -1]], [[-2, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[-2, -1]], [[1, 0]], [[1, 0]], [[-2, 1]], [[1, 0]], [[-2, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[2, 0]], [[-4, 1]], [[2, 1]], [[-4, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[2, 0]], [[2, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656042
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 92, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4x2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 1]], [[4, -1]], [[-2, -1]], [[-2, 1]], [[4, 0]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[4, -1]], [[-2, -1]], [[-2, 0]], [[4, 1]], [[-2, 1]], [[-2, -1]], [[-2, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-2, -1]], [[-2, 1]], [[-2, 0]], [[1, 0]], [[1, 1]], [[-2, -1]], [[1, -1]], [[1, 1]], [[-2, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[-2, 1]], [[1, 0]], [[1, 0]], [[-2, -1]], [[1, 0]], [[-2, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[2, 0]], [[-4, -1]], [[2, -1]], [[-4, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[2, 0]], [[2, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656043
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 93, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4y1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, -1]], [[4, 1]], [[-2, 1]], [[-2, -1]], [[4, 0]], [[-2, 0]], [[-2, -1]], [[-2, 0]], [[4, 1]], [[-2, 1]], [[-2, 0]], [[4, -1]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-2, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[-2, -1]], [[-2, -1]], [[1, 0]], [[-2, 1]], [[1, -1]], [[-2, 0]], [[1, 0]], [[1, 1]], [[-2, 0]], [[1, -1]], [[-2, 1]], [[1, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[2, 0]], [[-4, 1]], [[2, 1]], [[-4, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[-1, 1]], [[-1, -1]], [[2, 0]], [[-1, 0]], [[2, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[2, -1]], [[2, -1]], [[-1, -1]], [[2, -1]], [[-1, 0]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656044
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 94, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4y2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 1]], [[4, -1]], [[-2, -1]], [[-2, 1]], [[4, 0]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[4, -1]], [[-2, -1]], [[-2, 0]], [[4, 1]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-2, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, -1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[-2, 1]], [[-2, 1]], [[1, 0]], [[-2, -1]], [[1, 1]], [[-2, 0]], [[1, 0]], [[1, -1]], [[-2, 0]], [[1, 1]], [[-2, -1]], [[1, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[2, 0]], [[-4, -1]], [[2, -1]], [[-4, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[-1, -1]], [[-1, 1]], [[2, 0]], [[-1, 0]], [[2, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[2, 1]], [[2, 1]], [[-1, 1]], [[2, 1]], [[-1, 0]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[2, 0]], [[-1, 1]], [[-1, 1]], [[2, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656045
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 95, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4z1', 'nt': [48, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, -1]], [[4, 1]], [[-2, 1]], [[-2, -1]], [[4, 0]], [[-2, 0]], [[-2, -1]], [[-2, 0]], [[4, 1]], [[-2, 1]], [[-2, 0]], [[4, -1]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[-2, -1]], [[-2, 1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-2, 0]], [[-2, -1]], [[1, 1]], [[-2, 1]], [[1, -1]], [[1, 0]], [[-2, 1]], [[1, -1]], [[1, -1]], [[-2, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-2, 0]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[-2, -1]], [[1, 1]], [[0, 0]], [[0, 0]], [[-4, 1]], [[-4, -1]], [[2, 0]], [[-4, 1]], [[2, 1]], [[-4, -1]], [[2, -1]], [[2, -1]], [[2, 1]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, 1]], [[2, -1]], [[2, 1]], [[2, -1]], [[-1, 0]], [[2, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 1]], [[-1, 1]], [[-1, 0]], [[2, 1]], [[-1, -1]], [[-1, -1]], [[2, -1]], [[-1, -1]], [[2, 0]], [[2, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656046
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 96, 'cyclotomic_n': 3, 'dim': 4, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '432.616', 'image_order': 432, 'indicator': 0, 'kernel': '432.b1', 'kernel_order': 3, 'label': '1296.3279.4z2', 'nt': [48, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 1]], [[4, -1]], [[-2, -1]], [[-2, 1]], [[4, 0]], [[-2, 0]], [[-2, 1]], [[-2, 0]], [[4, -1]], [[-2, -1]], [[-2, 0]], [[4, 1]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[-2, 1]], [[-2, -1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-2, 0]], [[-2, 1]], [[1, -1]], [[-2, -1]], [[1, 1]], [[1, 0]], [[-2, -1]], [[1, 1]], [[1, 1]], [[-2, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[-2, 0]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[-2, 1]], [[1, -1]], [[0, 0]], [[0, 0]], [[-4, -1]], [[-4, 1]], [[2, 0]], [[-4, -1]], [[2, -1]], [[-4, 1]], [[2, 1]], [[2, 1]], [[2, -1]], [[2, 0]], [[-4, 0]], [[2, 0]], [[2, -1]], [[2, 1]], [[2, -1]], [[2, 1]], [[-1, 0]], [[2, 0]], [[-1, -1]], [[-1, 0]], [[-1, 1]], [[-1, 0]], [[-1, -1]], [[-1, -1]], [[-1, -1]], [[-1, 0]], [[2, -1]], [[-1, 1]], [[-1, 1]], [[2, 1]], [[-1, 1]], [[2, 0]], [[2, 0]], [[2, -1]], [[-1, -1]], [[-1, 0]], [[2, 1]], [[-1, 1]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656047
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 97, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '72.43', 'image_order': 72, 'indicator': 1, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3279.6a', 'nt': [12, 44], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[-2, 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]]]}
  • id: 10656048
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 98, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '72.43', 'image_order': 72, 'indicator': 1, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3279.6b', 'nt': [12, 44], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10656049
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 99, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '72.43', 'image_order': 72, 'indicator': 1, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3279.6c', 'nt': [12, 44], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[1, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655944
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 100, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '72.43', 'image_order': 72, 'indicator': 1, 'kernel': '72.a1', 'kernel_order': 18, 'label': '1296.3279.6d', 'nt': [12, 44], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[6, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-2, 0]], [[-2, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655945
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 101, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '216.164', 'image_order': 216, 'indicator': 0, 'kernel': '216.b1', 'kernel_order': 6, 'label': '1296.3279.6e1', 'nt': [24, 564], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, -1]], [[6, 1]], [[6, 1]], [[-3, -1]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[6, 0]], [[-3, 1]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[6, -1]], [[-3, 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]], [[-2, 0]], [[0, 0]], [[6, 1]], [[6, -1]], [[-3, 0]], [[-3, 1]], [[6, 1]], [[-3, -1]], [[6, -1]], [[-3, -1]], [[-3, 1]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, -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]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[-2, -1]], [[-2, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655946
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 102, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '216.164', 'image_order': 216, 'indicator': 0, 'kernel': '216.b1', 'kernel_order': 6, 'label': '1296.3279.6e2', 'nt': [24, 2], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, 1]], [[6, -1]], [[6, -1]], [[-3, 1]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[6, 0]], [[-3, -1]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[6, 1]], [[-3, -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]], [[-2, 0]], [[0, 0]], [[6, -1]], [[6, 1]], [[-3, 0]], [[-3, -1]], [[6, -1]], [[-3, 1]], [[6, 1]], [[-3, 1]], [[-3, -1]], [[6, 0]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 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]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[-2, 1]], [[-2, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655947
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 103, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '216.164', 'image_order': 216, 'indicator': 0, 'kernel': '216.b1', 'kernel_order': 6, 'label': '1296.3279.6f1', 'nt': [24, 564], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, -1]], [[6, 1]], [[-3, 1]], [[6, -1]], [[-3, 0]], [[-3, 0]], [[-3, -1]], [[-3, 0]], [[-3, 1]], [[-3, 1]], [[6, 0]], [[-3, -1]], [[-3, -1]], [[6, 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]], [[-2, 0]], [[0, 0]], [[6, 1]], [[6, -1]], [[6, 0]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[6, -1]], [[-3, 1]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, 1]], [[-3, -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]], [[-2, 1]], [[-2, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[-2, -1]], [[1, -1]], [[1, 0]], [[-2, 1]], [[1, -1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655948
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 104, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '216.164', 'image_order': 216, 'indicator': 0, 'kernel': '216.b1', 'kernel_order': 6, 'label': '1296.3279.6f2', 'nt': [24, 2], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, 1]], [[6, -1]], [[-3, -1]], [[6, 1]], [[-3, 0]], [[-3, 0]], [[-3, 1]], [[-3, 0]], [[-3, -1]], [[-3, -1]], [[6, 0]], [[-3, 1]], [[-3, 1]], [[6, -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]], [[-2, 0]], [[0, 0]], [[6, -1]], [[6, 1]], [[6, 0]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[6, 1]], [[-3, -1]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[6, -1]], [[-3, 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]], [[-2, -1]], [[-2, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[-2, 1]], [[1, 1]], [[1, 0]], [[-2, -1]], [[1, 1]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655949
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 105, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '216.164', 'image_order': 216, 'indicator': 0, 'kernel': '216.b1', 'kernel_order': 6, 'label': '1296.3279.6g1', 'nt': [24, 564], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, -1]], [[6, 1]], [[-3, 1]], [[-3, -1]], [[-3, 0]], [[6, 0]], [[6, -1]], [[-3, 0]], [[-3, 1]], [[6, 1]], [[-3, 0]], [[-3, -1]], [[-3, -1]], [[-3, 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]], [[-2, 0]], [[0, 0]], [[6, 1]], [[6, -1]], [[-3, 0]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-3, -1]], [[-3, -1]], [[6, 1]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, 1]], [[6, -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]], [[-2, 1]], [[-2, -1]], [[1, 1]], [[-2, -1]], [[-2, 0]], [[1, 1]], [[-2, 1]], [[1, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655950
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 106, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '216.164', 'image_order': 216, 'indicator': 0, 'kernel': '216.b1', 'kernel_order': 6, 'label': '1296.3279.6g2', 'nt': [24, 2], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, 1]], [[6, -1]], [[-3, -1]], [[-3, 1]], [[-3, 0]], [[6, 0]], [[6, 1]], [[-3, 0]], [[-3, -1]], [[6, -1]], [[-3, 0]], [[-3, 1]], [[-3, 1]], [[-3, -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]], [[-2, 0]], [[0, 0]], [[6, -1]], [[6, 1]], [[-3, 0]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[-3, 1]], [[-3, 1]], [[6, -1]], [[-3, 0]], [[-3, 0]], [[6, 0]], [[-3, -1]], [[6, 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]], [[-2, -1]], [[-2, 1]], [[1, -1]], [[-2, 1]], [[-2, 0]], [[1, -1]], [[-2, -1]], [[1, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655951
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 107, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '216.164', 'image_order': 216, 'indicator': 0, 'kernel': '216.b1', 'kernel_order': 6, 'label': '1296.3279.6h1', 'nt': [24, 564], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, -1]], [[6, 1]], [[-3, 1]], [[-3, -1]], [[6, 0]], [[-3, 0]], [[-3, -1]], [[-3, 0]], [[6, 1]], [[-3, 1]], [[-3, 0]], [[6, -1]], [[-3, -1]], [[-3, 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]], [[-2, 0]], [[0, 0]], [[6, 1]], [[6, -1]], [[-3, 0]], [[6, 1]], [[-3, 1]], [[6, -1]], [[-3, -1]], [[-3, -1]], [[-3, 1]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, 1]], [[-3, -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]], [[-2, 1]], [[-2, -1]], [[1, 1]], [[1, -1]], [[1, 0]], [[-2, 1]], [[1, 1]], [[-2, 0]], [[1, -1]], [[1, -1]], [[1, 0]], [[1, 1]], [[-2, -1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 10655952
    {'center': '72.a1', 'center_index': 72, 'center_order': 18, 'counter': 108, 'cyclotomic_n': 3, 'dim': 6, 'faithful': False, 'field': [1, -1, 1], 'group': '1296.3279', 'group_counter': 3279, 'group_order': 1296, 'image': None, 'image_isoclass': '216.164', 'image_order': 216, 'indicator': 0, 'kernel': '216.b1', 'kernel_order': 6, 'label': '1296.3279.6h2', 'nt': [24, 2], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, 1]], [[6, -1]], [[-3, -1]], [[-3, 1]], [[6, 0]], [[-3, 0]], [[-3, 1]], [[-3, 0]], [[6, -1]], [[-3, -1]], [[-3, 0]], [[6, 1]], [[-3, 1]], [[-3, -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]], [[-2, 0]], [[0, 0]], [[6, -1]], [[6, 1]], [[-3, 0]], [[6, -1]], [[-3, -1]], [[6, 1]], [[-3, 1]], [[-3, 1]], [[-3, -1]], [[-3, 0]], [[6, 0]], [[-3, 0]], [[-3, -1]], [[-3, 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]], [[-2, -1]], [[-2, 1]], [[1, -1]], [[1, 1]], [[1, 0]], [[-2, -1]], [[1, -1]], [[-2, 0]], [[1, 1]], [[1, 1]], [[1, 0]], [[1, -1]], [[-2, 1]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• 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: 71088547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': True, 'core_order': 1296, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '1296.3279.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1296.3279', 'subgroup_hash': 3279, 'subgroup_order': 1296, 'subgroup_tex': '(C_3^2\\times C_6).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71088560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': True, 'core_order': 648, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '648.678', 'subgroup_hash': 678, 'subgroup_order': 648, 'subgroup_tex': 'C_3^3\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 71088571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': True, 'centralizer_order': 6, 'characteristic': True, 'core_order': 432, 'counter': 3, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '1296.3279.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '432.619', 'subgroup_hash': 619, 'subgroup_order': 432, 'subgroup_tex': '(C_3\\times C_6).S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71088582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 216, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.3.b1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '432.616', 'subgroup_hash': 616, 'subgroup_order': 432, 'subgroup_tex': 'C_3\\times C_6.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71088593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 216, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.3.c1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '432.494', 'subgroup_hash': 494, 'subgroup_order': 432, 'subgroup_tex': 'C_3^3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71088604
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 54, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.4.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '324.157', 'subgroup_hash': 157, 'subgroup_order': 324, 'subgroup_tex': 'C_3^3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71088615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 216, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '216.134', 'subgroup_hash': 134, 'subgroup_order': 216, 'subgroup_tex': 'C_3^2\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 71088626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': True, 'core_order': 216, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '216.152', 'subgroup_hash': 152, 'subgroup_order': 216, 'subgroup_tex': 'Q_8\\times C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 71088637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': True, 'core_order': 216, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '216.134', 'subgroup_hash': 134, 'subgroup_order': 216, 'subgroup_tex': 'C_3^2\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 71088548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 54, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '216.140', 'subgroup_hash': 140, 'subgroup_order': 216, 'subgroup_tex': 'C_3^3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71088551
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 54, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.6.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '216.83', 'subgroup_hash': 83, 'subgroup_order': 216, 'subgroup_tex': 'C_3^2:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 71088552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 72, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.6.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '216.134', 'subgroup_hash': 134, 'subgroup_order': 216, 'subgroup_tex': 'C_3^2\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 71088553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 72, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.6.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '216.134', 'subgroup_hash': 134, 'subgroup_order': 216, 'subgroup_tex': 'C_3^2\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 71088554
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 54, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '162.55', 'subgroup_hash': 55, 'subgroup_order': 162, 'subgroup_tex': 'C_3^3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71088555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 72, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.9.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.83', 'subgroup_hash': 83, 'subgroup_order': 144, 'subgroup_tex': 'C_3^2:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71088556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 72, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.9.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.121', 'subgroup_hash': 121, 'subgroup_order': 144, 'subgroup_tex': 'C_6.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71088557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 72, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.9.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.124', 'subgroup_hash': 124, 'subgroup_order': 144, 'subgroup_tex': 'C_6.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71088558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 72, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.9.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '144.99', 'subgroup_hash': 99, 'subgroup_order': 144, 'subgroup_tex': 'C_3^2:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71088559
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 18, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '108.33', 'subgroup_hash': 33, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71088561
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 54, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '108.35', 'subgroup_hash': 35, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71088562
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 54, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '108.33', 'subgroup_hash': 33, 'subgroup_order': 108, 'subgroup_tex': 'C_3^2:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71088563
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 18, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '108.34', 'subgroup_hash': 34, 'subgroup_order': 108, 'subgroup_tex': 'C_3^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71088564
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 27, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '1296.3279.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '81.15', 'subgroup_hash': 15, 'subgroup_order': 81, 'subgroup_tex': 'C_3^4', 'supersolvable': True, 'sylow': 3}
  • id: 71088565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 72, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.18.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.38', 'subgroup_hash': 38, 'subgroup_order': 72, 'subgroup_tex': 'Q_8\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71088566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 72, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.18.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.25', 'subgroup_hash': 25, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 71088567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 72, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.18.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.25', 'subgroup_hash': 25, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 71088568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': True, 'core_order': 72, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.18.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '18.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '18.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '72.38', 'subgroup_hash': 38, 'subgroup_order': 72, 'subgroup_tex': 'Q_8\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71088569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 18, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.18.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.26', 'subgroup_hash': 26, 'subgroup_order': 72, 'subgroup_tex': 'C_3^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71088570
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 18, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.18.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.12', 'subgroup_hash': 12, 'subgroup_order': 72, 'subgroup_tex': 'C_3:C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 71088572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 24, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.18.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '18.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.38', 'subgroup_hash': 38, 'subgroup_order': 72, 'subgroup_tex': 'Q_8\\times C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71088573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 24, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.18.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.25', 'subgroup_hash': 25, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 71088574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 18, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.18.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.31', 'subgroup_hash': 31, 'subgroup_order': 72, 'subgroup_tex': 'C_3^2:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71088575
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 18, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.18.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.13', 'subgroup_hash': 13, 'subgroup_order': 72, 'subgroup_tex': 'C_3^2:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71088576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 24, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.18.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '72.25', 'subgroup_hash': 25, 'subgroup_order': 72, 'subgroup_tex': 'C_3\\times \\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 71088577
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': True, 'core_order': 54, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.12', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'S_4', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '54.15', 'subgroup_hash': 15, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71088578
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 18, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '54.15', 'subgroup_hash': 15, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71088579
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 6, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '54.15', 'subgroup_hash': 15, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71088580
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 18, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '54.15', 'subgroup_hash': 15, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71088581
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 18, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '54.15', 'subgroup_hash': 15, 'subgroup_order': 54, 'subgroup_tex': 'C_3^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71088583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 24, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.27.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '27.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.27', 'subgroup_hash': 27, 'subgroup_order': 48, 'subgroup_tex': 'C_3\\times Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71088584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 24, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.27.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.18', 'subgroup_hash': 18, 'subgroup_order': 48, 'subgroup_tex': 'C_3:Q_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 71088585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 24, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.27.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.28', 'subgroup_hash': 28, 'subgroup_order': 48, 'subgroup_tex': 'C_2.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 71088586
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 18, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.36.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71088587
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 18, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.36.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.6', 'subgroup_hash': 6, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71088588
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 6, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.36.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.6', 'subgroup_hash': 6, 'subgroup_order': 36, 'subgroup_tex': 'C_3:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71088589
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 6, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.36.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71088590
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 6, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.36.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.7', 'subgroup_hash': 7, 'subgroup_order': 36, 'subgroup_tex': 'C_3^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71088591
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 18, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.36.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '36.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.8', 'subgroup_hash': 8, 'subgroup_order': 36, 'subgroup_tex': 'C_3\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71088592
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 18, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.36.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '36.7', 'subgroup_hash': 7, 'subgroup_order': 36, 'subgroup_tex': 'C_3^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71088594
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': True, 'core_order': 27, 'counter': 50, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.28', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 28, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2.S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 71088595
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 9, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 71088596
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 3, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 71088597
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 9, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.48.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 71088598
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 9, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '27.5', 'subgroup_hash': 5, 'subgroup_order': 27, 'subgroup_tex': 'C_3^3', 'supersolvable': True, 'sylow': 0}
  • id: 71088599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': True, 'core_order': 24, 'counter': 55, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.54.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '54.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '54.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2:S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71088600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 24, 'counter': 56, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.54.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '54.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '54.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2:C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71088601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 24, 'counter': 57, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.54.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '54.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '54.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 54, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^2:C_6', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.3', 'subgroup_hash': 3, 'subgroup_order': 24, 'subgroup_tex': '\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 71088602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 6, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.54.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71088603
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 6, 'counter': 59, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3279.54.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.2', 'subgroup_hash': 2, 'subgroup_order': 24, 'subgroup_tex': 'C_{24}', 'supersolvable': True, 'sylow': 0}
  • id: 71088605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 6, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.54.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71088606
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 6, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.54.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.1', 'subgroup_hash': 1, 'subgroup_order': 24, 'subgroup_tex': 'C_3:C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71088607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 8, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.54.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '54.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71088608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': False, 'core_order': 8, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.54.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 54, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.3', 'subgroup_hash': 3, 'subgroup_order': 24, 'subgroup_tex': '\\SL(2,3)', 'supersolvable': False, 'sylow': 0}
  • id: 71088609
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': False, 'core_order': 18, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.72.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.43', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 43, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71088610
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': True, 'core_order': 18, 'counter': 65, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.72.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '72.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '72.42', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3\\times S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71088611
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 6, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.72.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71088612
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': False, 'core_order': 6, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.72.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71088613
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 6, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.72.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71088614
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 6, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.72.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71088616
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 2, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.72.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '72.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18.5', 'subgroup_hash': 5, 'subgroup_order': 18, 'subgroup_tex': 'C_3\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71088617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 8, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1296.3279.81.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '81.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 81, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.9', 'subgroup_hash': 9, 'subgroup_order': 16, 'subgroup_tex': 'Q_{16}', 'supersolvable': True, 'sylow': 2}
  • id: 71088618
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 6, 'counter': 72, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3279.108.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': 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: 71088619
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 6, 'counter': 73, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3279.108.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': 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: 71088620
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 6, 'counter': 74, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3279.108.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': 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: 71088621
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 6, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.108.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71088622
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 108, 'characteristic': False, 'core_order': 2, 'counter': 76, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3279.108.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '108.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': 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: 71088623
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 2, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.108.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 108, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71088624
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': False, 'core_order': 9, 'counter': 78, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.144.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.124', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 124, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6.S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71088625
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': True, 'core_order': 9, 'counter': 79, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.144.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '144.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '144.121', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 121, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 144, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_6.S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71088627
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 3, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.144.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71088628
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': False, 'core_order': 3, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.144.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71088629
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 3, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.144.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71088630
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 3, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.144.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71088631
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.144.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '144.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9.2', 'subgroup_hash': 2, 'subgroup_order': 9, 'subgroup_tex': 'C_3^2', 'supersolvable': True, 'sylow': 0}
  • id: 71088632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 54, 'characteristic': True, 'core_order': 8, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1296.3279.162.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '162.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '162.53', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 53, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 162, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3^3:C_6', 'simple': False, 'solvable': True, 'special_labels': ['D2', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71088633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 2, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1296.3279.162.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71088634
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 87, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3279.162.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '162.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 162, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 71088635
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': True, 'central_factor': False, 'centralizer_order': 1296, 'characteristic': True, 'core_order': 6, 'counter': 88, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1296.3279.216.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '216.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '216.165', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 165, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 216, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^2:S_4', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U0'], '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: 71088636
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': False, 'core_order': 6, 'counter': 89, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1296.3279.216.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '216.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '216.164', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 164, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 216, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^2:S_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71088638
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': False, 'core_order': 2, 'counter': 90, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3279.216.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': 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: 71088639
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 2, 'counter': 91, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3279.216.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': 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: 71088640
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 2, 'counter': 92, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3279.216.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '216.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 216, 'quotient_simple': 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: 71088641
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 216, 'characteristic': False, 'core_order': 2, 'counter': 93, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3279.324.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '324.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 324, 'quotient_simple': 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: 71088642
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 2, 'counter': 94, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3279.324.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '324.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 324, 'quotient_simple': 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: 71088643
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': True, 'central_factor': False, 'centralizer_order': 1296, 'characteristic': True, 'core_order': 3, 'counter': 95, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '1296.3279.432.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '432.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '432.619', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 619, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 432, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_3\\times C_6).S_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 71088644
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': False, 'core_order': 3, 'counter': 96, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1296.3279.432.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '432.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '432.616', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 616, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 432, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3\\times C_6.S_4', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 71088645
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 648, 'characteristic': False, 'core_order': 1, 'counter': 97, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3279.432.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '432.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 432, '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': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 71088646
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 98, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3279.432.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '432.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 432, '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': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 71088647
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': False, 'central_factor': False, 'centralizer_order': 162, 'characteristic': False, 'core_order': 1, 'counter': 99, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1296.3279.432.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '432.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 432, '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': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 0}
  • id: 71088549
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': True, 'central_factor': False, 'centralizer_order': 1296, 'characteristic': True, 'core_order': 2, 'counter': 100, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1296.3279.648.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '648.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '648.737', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 737, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 648, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_3^3:S_4', 'simple': True, 'solvable': True, 'special_labels': ['Phi', 'D3', 'C6'], '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: 71088550
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1296.3279', 'ambient_counter': 3279, 'ambient_order': 1296, 'ambient_tex': '(C_3^2\\times C_6).S_4', 'central': True, 'central_factor': False, 'centralizer_order': 1296, 'characteristic': True, 'core_order': 1, 'counter': 101, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1296.3279.1296.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1296.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '1296.3279', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3279, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1296, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': '(C_3^2\\times C_6).S_4', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U1', 'D4', 'C7'], '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: 71088574
    {'ambient': '1296.3279', 'aut_centralizer_order': 36, 'aut_label': '18.i1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '3456.in', 'aut_weyl_index': 108, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.d1', '9.d1'], 'contains': ['36.f1', '36.g1', '54.f1'], 'core': '72.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8009, -1, 1989, -1], 'generators': [3, 432, 702, 648, 684], 'label': '1296.3279.18.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '18.i1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.i1', 'subgroup_fusion': None, 'weyl_group': '72.35'}
  • id: 71088575
    {'ambient': '1296.3279', 'aut_centralizer_order': 72, 'aut_label': '18.j1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '1728.47845', 'aut_weyl_index': 216, 'centralizer': '108.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1', '9.d1'], 'contains': ['36.f1', '54.g1'], 'core': '72.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8855, -1, 4040, -1], 'generators': [381, 432, 54, 648, 684], 'label': '1296.3279.18.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '18.j1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.j1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 71088598
    {'ambient': '1296.3279', 'aut_centralizer_order': 54, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '864.4661', 'aut_weyl_index': 432, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '24.e1'], 'contains': ['144.b1', '144.f1'], 'core': '144.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [121, -1, 681, -1], 'generators': [656, 684, 432], 'label': '1296.3279.48.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '48.e1', 'projective_image': '1296.3279', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088619
    {'ambient': '1296.3279', 'aut_centralizer_order': 1728, 'aut_label': '108.b1', 'aut_quo_index': None, 'aut_stab_index': 54, 'aut_weyl_group': '4.2', 'aut_weyl_index': 93312, 'centralizer': '108.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.b1', '36.c1', '54.d1'], 'contains': ['216.a1', '324.b1'], 'core': '216.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [5426, -1, 6488, -1], 'generators': [3, 650, 648], 'label': '1296.3279.108.b1', 'mobius_quo': None, 'mobius_sub': 54, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.d1', 'old_label': '108.b1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088640
    {'ambient': '1296.3279', 'aut_centralizer_order': 2592, 'aut_label': '216.e1', 'aut_quo_index': None, 'aut_stab_index': 72, 'aut_weyl_group': '2.1', 'aut_weyl_index': 186624, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 9, 'contained_in': ['54.i1', '72.c1', '72.f1', '72.g1'], 'contains': ['432.e1', '648.a1'], 'core': '648.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [3396, -1, 4256, -1], 'generators': [648, 656], 'label': '1296.3279.216.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '216.e1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088641
    {'ambient': '1296.3279', 'aut_centralizer_order': 62208, 'aut_label': '324.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 186624, 'centralizer': '6.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.a1', '108.c1', '108.e1', '162.a1', '162.b1', '162.c1'], 'contains': ['648.a1'], 'core': '648.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7619, -1, 7042, -1], 'generators': [378], 'label': '1296.3279.324.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '162.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '324.a1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088642
    {'ambient': '1296.3279', 'aut_centralizer_order': 3456, 'aut_label': '324.b1', 'aut_quo_index': None, 'aut_stab_index': 54, 'aut_weyl_group': '2.1', 'aut_weyl_index': 186624, 'centralizer': '108.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['108.b1', '108.d1', '108.f1', '162.b1'], 'contains': ['648.a1'], 'core': '648.a1', 'coset_action_label': None, 'count': 54, 'diagramx': [5072, -1, 6218, -1], 'generators': [3], 'label': '1296.3279.324.b1', 'mobius_quo': None, 'mobius_sub': -54, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '54.d1', 'old_label': '324.b1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '324.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088547
    {'ambient': '1296.3279', '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': '216.a1', 'complements': ['1296.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '3.a1', '3.b1', '3.c1', '4.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5556, 1896, 3461, 4975], 'generators': [3, 432, 54, 650, 684, 648, 324, 6], 'label': '1296.3279.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': '216.165'}
  • id: 71088548
    {'ambient': '1296.3279', 'aut_centralizer_order': 18, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '6912.ht', 'aut_weyl_index': 54, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.c1'], 'contains': ['12.b1', '12.c1', '18.e1', '18.i1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8242, -1, 3029, -1], 'generators': [3, 432, 684, 702, 650, 648], 'label': '1296.3279.6.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '6.d1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.d1', 'subgroup_fusion': None, 'weyl_group': '72.35'}
  • id: 71088549
    {'ambient': '1296.3279', 'aut_centralizer_order': 373248, 'aut_label': '648.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 373248, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['216.a1', '216.b1', '216.c1', '216.d1', '216.e1', '324.a1', '324.b1'], 'contains': ['1296.a1'], 'core': '648.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [3936, 8561, 4364, 9422], 'generators': [648], 'label': '1296.3279.648.a1', 'mobius_quo': -1, 'mobius_sub': 2916, 'normal_closure': '648.a1', 'normal_contained_in': ['162.a1', '216.a1', '216.b1'], 'normal_contains': ['1296.a1'], 'normalizer': '1.a1', 'old_label': '648.a1', 'projective_image': '648.737', 'quotient_action_image': '1.1', 'quotient_action_kernel': '648.737', 'quotient_action_kernel_order': 648, 'quotient_fusion': None, 'short_label': '648.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088550
    {'ambient': '1296.3279', 'aut_centralizer_order': None, 'aut_label': '1296.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['432.a1', '432.b1', '432.c1', '432.d1', '432.e1', '648.a1'], 'contains': [], 'core': '1296.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1579, 8002, 2735, 8771], 'generators': [], 'label': '1296.3279.1296.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1296.a1', 'normal_contained_in': ['432.a1', '432.b1', '648.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1296.a1', 'projective_image': '1296.3279', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1296.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088551
    {'ambient': '1296.3279', 'aut_centralizer_order': 36, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '3456.ks', 'aut_weyl_index': 108, 'centralizer': '108.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.c1'], 'contains': ['12.b1', '18.f1', '18.j1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9062, -1, 4610, -1], 'generators': [381, 432, 684, 650, 54, 648], 'label': '1296.3279.6.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '6.e1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.e1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 71088552
    {'ambient': '1296.3279', 'aut_centralizer_order': 18, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '864.4673', 'aut_weyl_index': 432, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['2.a1'], 'contains': ['18.c1', '18.g1', '18.h1', '18.k1', '24.c1'], 'core': '18.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [3656, -1, 5237, -1], 'generators': [722, 648, 324, 690, 432, 54], 'label': '1296.3279.6.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '6.f1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.f1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 71088553
    {'ambient': '1296.3279', 'aut_centralizer_order': 18, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '10368.qn', 'aut_weyl_index': 36, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['18.d1', '18.h1', '24.e1'], 'core': '18.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [2575, -1, 1590, -1], 'generators': [656, 648, 324, 684, 432, 54], 'label': '1296.3279.6.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '6.g1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.g1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 71088554
    {'ambient': '1296.3279', 'aut_centralizer_order': 54, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1728.47845', 'aut_weyl_index': 216, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '4.a1'], 'contains': ['16.a1', '24.a1', '24.b1', '24.c1', '24.d1', '24.e1'], 'core': '24.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1958, -1, 441, -1], 'generators': [648, 432, 650, 6, 684], 'label': '1296.3279.8.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '8.a1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088555
    {'ambient': '1296.3279', 'aut_centralizer_order': 54, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '192.1514', 'aut_weyl_index': 1944, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['3.b1', '3.c1'], 'contains': ['18.a1', '18.e1', '18.f1', '27.a1', '27.b1'], 'core': '18.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [9466, -1, 6911, -1], 'generators': [3, 684, 648, 324, 650, 702], 'label': '1296.3279.9.a1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '9.a1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.a1', 'subgroup_fusion': None, 'weyl_group': '24.8'}
  • id: 71088556
    {'ambient': '1296.3279', 'aut_centralizer_order': 48, 'aut_label': '9.b1', 'aut_quo_index': None, 'aut_stab_index': 81, 'aut_weyl_group': '96.226', 'aut_weyl_index': 3888, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 9, 'contained_in': ['3.b1'], 'contains': ['18.b1', '27.a1', '27.c1', '36.c1'], 'core': '18.b1', 'coset_action_label': None, 'count': 81, 'diagramx': [6214, -1, 8947, -1], 'generators': [3, 648, 324, 650, 690, 54], 'label': '1296.3279.9.b1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '9.b1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.b1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71088557
    {'ambient': '1296.3279', 'aut_centralizer_order': 12, 'aut_label': '9.c1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '864.4000', 'aut_weyl_index': 432, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['3.a1', '3.b1'], 'contains': ['18.c1', '27.b1', '27.c1', '36.e1'], 'core': '18.c1', 'coset_action_label': None, 'count': 36, 'diagramx': [6709, -1, 6446, -1], 'generators': [3, 648, 324, 690, 432, 54], 'label': '1296.3279.9.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '9.c1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.c1', 'subgroup_fusion': None, 'weyl_group': '72.43'}
  • id: 71088558
    {'ambient': '1296.3279', 'aut_centralizer_order': 18, 'aut_label': '9.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '6912.ht', 'aut_weyl_index': 54, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '3.c1'], 'contains': ['18.d1', '18.i1', '18.j1', '27.b1'], 'core': '18.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [8050, -1, 3530, -1], 'generators': [3, 432, 684, 324, 702, 648], 'label': '1296.3279.9.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '9.d1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.d1', 'subgroup_fusion': None, 'weyl_group': '72.35'}
  • id: 71088559
    {'ambient': '1296.3279', 'aut_centralizer_order': 6, 'aut_label': '12.a1', 'aut_quo_index': None, 'aut_stab_index': 144, 'aut_weyl_group': '432.545', 'aut_weyl_index': 864, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['3.b1', '4.a1'], 'contains': ['24.b1', '36.b1', '36.c1', '36.e1'], 'core': '72.a1', 'coset_action_label': None, 'count': 144, 'diagramx': [4112, -1, 2561, -1], 'generators': [3, 432, 650, 648, 690], 'label': '1296.3279.12.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1', 'old_label': '12.a1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
  • id: 71088560
    {'ambient': '1296.3279', 'aut_centralizer_order': 18, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '20736.mt', 'aut_weyl_index': 18, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '6.c1', '6.f1', '6.g1', '8.a1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4292, 2586, 2810, 3990], 'generators': [650, 324, 54, 6, 648, 684, 432], 'label': '1296.3279.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1', '6.c1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71088561
    {'ambient': '1296.3279', 'aut_centralizer_order': 648, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '192.1475', 'aut_weyl_index': 1944, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1', '6.d1', '6.e1'], 'contains': ['24.a1', '36.a1', '36.d1', '36.f1'], 'core': '24.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8548, -1, 3593, -1], 'generators': [378, 648, 650, 684, 432], 'label': '1296.3279.12.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '12.b1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71088562
    {'ambient': '1296.3279', 'aut_centralizer_order': 36, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1728.47845', 'aut_weyl_index': 216, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '6.d1'], 'contains': ['24.a1', '36.b1', '36.g1'], 'core': '24.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3488, -1, 1416, -1], 'generators': [3, 432, 650, 648, 684], 'label': '1296.3279.12.c1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '12.c1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 71088563
    {'ambient': '1296.3279', 'aut_centralizer_order': 2, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '4.a1'], 'contains': ['24.d1', '36.e1', '36.g1'], 'core': '72.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [2964, -1, 963, -1], 'generators': [3, 432, 648, 6, 684], 'label': '1296.3279.12.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '12.d1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '54.14'}
  • id: 71088564
    {'ambient': '1296.3279', 'aut_centralizer_order': 54, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '1728.47845', 'aut_weyl_index': 216, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.a1'], 'contains': ['48.a1', '48.b1', '48.c1', '48.d1', '48.e1'], 'core': '48.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [669, -1, 96, -1], 'generators': [650, 6, 684, 432], 'label': '1296.3279.16.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '16.a1', 'projective_image': '432.619', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088565
    {'ambient': '1296.3279', 'aut_centralizer_order': 972, 'aut_label': '18.a1', 'aut_quo_index': 4, 'aut_stab_index': 4, 'aut_weyl_group': '96.226', 'aut_weyl_index': 3888, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['6.a1', '6.b1', '9.a1'], 'contains': ['36.a1', '54.a1', '54.b1', '54.h1'], 'core': '18.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7627, 4807, 7150, 2526], 'generators': [378, 648, 324, 650, 684], 'label': '1296.3279.18.a1', 'mobius_quo': 0, 'mobius_sub': -27, 'normal_closure': '18.a1', 'normal_contained_in': ['6.a1', '6.b1'], 'normal_contains': ['54.a1', '54.b1', '72.a1'], 'normalizer': '1.a1', 'old_label': '18.a1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71088566
    {'ambient': '1296.3279', 'aut_centralizer_order': 864, 'aut_label': '18.b1', 'aut_quo_index': 1, 'aut_stab_index': 9, 'aut_weyl_group': '48.48', 'aut_weyl_index': 7776, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 9, 'contained_in': ['6.a1', '9.b1'], 'contains': ['54.a1', '54.c1', '54.i1', '72.c1'], 'core': '18.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [5824, 6674, 8947, 863], 'generators': [650, 648, 690, 54, 324], 'label': '1296.3279.18.b1', 'mobius_quo': 0, 'mobius_sub': -27, 'normal_closure': '18.b1', 'normal_contained_in': ['6.a1'], 'normal_contains': ['54.a1', '54.c1'], 'normalizer': '1.a1', 'old_label': '18.b1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.b1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71088567
    {'ambient': '1296.3279', 'aut_centralizer_order': 216, 'aut_label': '18.c1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '144.183', 'aut_weyl_index': 2592, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['6.a1', '6.c1', '6.f1', '9.c1'], 'contains': ['54.b1', '54.c1', '72.e1'], 'core': '18.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [5033, 2941, 5741, 4189], 'generators': [690, 648, 432, 54, 324], 'label': '1296.3279.18.c1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.c1', 'normal_contained_in': ['6.a1', '6.c1'], 'normal_contains': ['54.b1', '54.c1'], 'normalizer': '1.a1', 'old_label': '18.c1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.c1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71088568
    {'ambient': '1296.3279', 'aut_centralizer_order': 324, 'aut_label': '18.d1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '1152.157461', 'aut_weyl_index': 324, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['6.b1', '6.c1', '6.g1', '9.d1'], 'contains': ['36.f1', '54.b1'], 'core': '18.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6980, 1075, 3080, 5852], 'generators': [378, 648, 324, 684, 432], 'label': '1296.3279.18.d1', 'mobius_quo': 0, 'mobius_sub': -3, 'normal_closure': '18.d1', 'normal_contained_in': ['6.b1', '6.c1'], 'normal_contains': ['54.b1', '72.b1'], 'normalizer': '1.a1', 'old_label': '18.d1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.d1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71088569
    {'ambient': '1296.3279', 'aut_centralizer_order': 108, 'aut_label': '18.e1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '96.209', 'aut_weyl_index': 3888, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.d1', '9.a1'], 'contains': ['36.a1', '36.b1', '54.d1', '54.f1'], 'core': '72.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [9347, -1, 6305, -1], 'generators': [3, 684, 702, 650, 648], 'label': '1296.3279.18.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '18.e1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.e1', 'subgroup_fusion': None, 'weyl_group': '24.8'}
  • id: 71088570
    {'ambient': '1296.3279', 'aut_centralizer_order': 216, 'aut_label': '18.f1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '48.51', 'aut_weyl_index': 7776, 'centralizer': '108.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.e1', '9.a1'], 'contains': ['36.a1', '54.e1', '54.g1'], 'core': '72.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [9911, -1, 7639, -1], 'generators': [381, 684, 650, 54, 648], 'label': '1296.3279.18.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '18.f1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.f1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71088571
    {'ambient': '1296.3279', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '216.a1', 'complements': ['432.a1', '432.e1', '432.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.c1', '9.c1', '9.d1', '12.d1'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5556, 1146, 3461, 5951], 'generators': [3, 324, 54, 6, 648, 684, 432], 'label': '1296.3279.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.c1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': '648.737', 'quotient_action_image': '1.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '216.165'}
  • id: 71088572
    {'ambient': '1296.3279', 'aut_centralizer_order': 162, 'aut_label': '18.g1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '288.1028', 'aut_weyl_index': 1296, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.b1', '6.f1'], 'contains': ['36.d1', '54.b1', '54.h1'], 'core': '54.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [6333, -1, 5189, -1], 'generators': [378, 648, 324, 1082, 684], 'label': '1296.3279.18.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '18.g1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.g1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 71088573
    {'ambient': '1296.3279', 'aut_centralizer_order': 108, 'aut_label': '18.h1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '144.183', 'aut_weyl_index': 2592, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['6.a1', '6.f1', '6.g1'], 'contains': ['54.b1', '54.i1', '72.f1'], 'core': '54.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [2676, -1, 4523, -1], 'generators': [656, 648, 684, 54, 324], 'label': '1296.3279.18.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '18.h1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.h1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 71088576
    {'ambient': '1296.3279', 'aut_centralizer_order': 108, 'aut_label': '18.k1', 'aut_quo_index': None, 'aut_stab_index': 72, 'aut_weyl_group': '48.48', 'aut_weyl_index': 7776, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 36, 'contained_in': ['6.a1', '6.f1'], 'contains': ['54.c1', '54.h1', '54.i1', '72.g1'], 'core': '54.c1', 'coset_action_label': None, 'count': 72, 'diagramx': [4455, -1, 8203, -1], 'generators': [1082, 648, 690, 54, 324], 'label': '1296.3279.18.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '18.k1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18.k1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 71088577
    {'ambient': '1296.3279', 'aut_centralizer_order': 3888, 'aut_label': '24.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.189', 'aut_weyl_index': 3888, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '12.b1', '12.c1'], 'contains': ['48.a1', '72.a1', '72.b1', '72.d1'], 'core': '24.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2666, 6968, 1398, 8238], 'generators': [648, 650, 684, 432], 'label': '1296.3279.24.a1', 'mobius_quo': 3, 'mobius_sub': -12, 'normal_closure': '24.a1', 'normal_contained_in': ['6.b1'], 'normal_contains': ['48.a1', '72.a1', '72.b1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '216.165', 'quotient_action_image': '2.1', 'quotient_action_kernel': '12.3', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088578
    {'ambient': '1296.3279', 'aut_centralizer_order': 324, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '24.14', 'aut_weyl_index': 15552, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['6.a1', '8.a1', '12.a1'], 'contains': ['48.b1', '72.a1', '72.c1', '72.e1', '72.f1', '72.g1'], 'core': '72.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3567, -1, 2678, -1], 'generators': [648, 650, 690, 432], 'label': '1296.3279.24.b1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '24.b1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088579
    {'ambient': '1296.3279', 'aut_centralizer_order': 54, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '72.46', 'aut_weyl_index': 5184, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['6.f1', '8.a1'], 'contains': ['48.c1', '72.d1', '72.e1', '72.f1', '72.g1'], 'core': '216.b1', 'coset_action_label': None, 'count': 96, 'diagramx': [1689, -1, 1869, -1], 'generators': [648, 722, 690, 432], 'label': '1296.3279.24.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '24.c1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088580
    {'ambient': '1296.3279', 'aut_centralizer_order': 108, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '864.4661', 'aut_weyl_index': 432, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1', '8.a1', '12.d1'], 'contains': ['48.d1', '72.b1', '72.e1'], 'core': '72.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [2124, -1, 927, -1], 'generators': [648, 6, 684, 432], 'label': '1296.3279.24.d1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '24.d1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088581
    {'ambient': '1296.3279', 'aut_centralizer_order': 54, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '864.4661', 'aut_weyl_index': 432, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.g1', '8.a1'], 'contains': ['48.e1', '72.b1', '72.f1'], 'core': '72.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [1256, -1, 456, -1], 'generators': [648, 656, 684, 432], 'label': '1296.3279.24.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '24.e1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088582
    {'ambient': '1296.3279', 'aut_centralizer_order': 6, 'aut_label': '3.b1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '1728.46116', 'aut_weyl_index': 216, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['1.a1'], 'contains': ['6.a1', '9.a1', '9.b1', '9.c1', '12.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [6239, -1, 6185, -1], 'generators': [3, 324, 54, 650, 648, 690, 432], 'label': '1296.3279.3.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.b1', 'old_label': '3.b1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.b1', 'subgroup_fusion': None, 'weyl_group': '72.43'}
  • id: 71088583
    {'ambient': '1296.3279', 'aut_centralizer_order': 432, 'aut_label': '27.a1', 'aut_quo_index': None, 'aut_stab_index': 27, 'aut_weyl_group': '32.46', 'aut_weyl_index': 11664, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['9.a1', '9.b1'], 'contains': ['54.a1', '54.d1', '54.e1', '81.a1'], 'core': '54.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [9449, -1, 9781, -1], 'generators': [3, 648, 324, 650, 702], 'label': '1296.3279.27.a1', 'mobius_quo': None, 'mobius_sub': -27, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1', 'old_label': '27.a1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71088584
    {'ambient': '1296.3279', 'aut_centralizer_order': 108, 'aut_label': '27.b1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '96.209', 'aut_weyl_index': 3888, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['9.a1', '9.c1', '9.d1'], 'contains': ['54.b1', '54.f1', '54.g1', '81.a1'], 'core': '54.b1', 'coset_action_label': None, 'count': 36, 'diagramx': [8321, -1, 6734, -1], 'generators': [3, 684, 324, 702, 648], 'label': '1296.3279.27.b1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '27.b1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.b1', 'subgroup_fusion': None, 'weyl_group': '24.8'}
  • id: 71088585
    {'ambient': '1296.3279', 'aut_centralizer_order': 96, 'aut_label': '27.c1', 'aut_quo_index': None, 'aut_stab_index': 81, 'aut_weyl_group': '48.48', 'aut_weyl_index': 7776, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 9, 'contained_in': ['9.b1', '9.c1'], 'contains': ['54.c1', '81.a1', '108.f1'], 'core': '54.c1', 'coset_action_label': None, 'count': 81, 'diagramx': [6767, -1, 9397, -1], 'generators': [3, 648, 690, 54, 324], 'label': '1296.3279.27.c1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.b1', 'old_label': '27.c1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27.c1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71088586
    {'ambient': '1296.3279', 'aut_centralizer_order': 3888, 'aut_label': '36.a1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '8.5', 'aut_weyl_index': 46656, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.b1', '18.a1', '18.e1', '18.f1'], 'contains': ['72.a1', '108.a1', '108.c1', '108.e1'], 'core': '72.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9140, -1, 5897, -1], 'generators': [378, 650, 684, 648], 'label': '1296.3279.36.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '36.a1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71088587
    {'ambient': '1296.3279', 'aut_centralizer_order': 216, 'aut_label': '36.b1', 'aut_quo_index': None, 'aut_stab_index': 72, 'aut_weyl_group': '24.14', 'aut_weyl_index': 15552, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.a1', '12.c1', '18.e1'], 'contains': ['72.a1', '108.b1', '108.d1'], 'core': '72.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [4586, -1, 4109, -1], 'generators': [3, 650, 648, 684], 'label': '1296.3279.36.b1', 'mobius_quo': None, 'mobius_sub': -6, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.e1', 'old_label': '36.b1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71088588
    {'ambient': '1296.3279', 'aut_centralizer_order': 48, 'aut_label': '36.c1', 'aut_quo_index': None, 'aut_stab_index': 324, 'aut_weyl_group': '24.14', 'aut_weyl_index': 15552, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 9, 'contained_in': ['9.b1', '12.a1'], 'contains': ['72.c1', '108.b1', '108.f1'], 'core': '216.a1', 'coset_action_label': None, 'count': 324, 'diagramx': [5150, -1, 6782, -1], 'generators': [3, 650, 648, 690], 'label': '1296.3279.36.c1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.c1', 'old_label': '36.c1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.c1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71088589
    {'ambient': '1296.3279', 'aut_centralizer_order': 648, 'aut_label': '36.d1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '24.14', 'aut_weyl_index': 15552, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.b1', '18.g1'], 'contains': ['72.d1', '108.c1', '108.e1'], 'core': '216.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [7077, -1, 4604, -1], 'generators': [378, 1082, 684, 648], 'label': '1296.3279.36.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '36.d1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088590
    {'ambient': '1296.3279', 'aut_centralizer_order': 12, 'aut_label': '36.e1', 'aut_quo_index': None, 'aut_stab_index': 144, 'aut_weyl_group': '216.102', 'aut_weyl_index': 1728, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['9.c1', '12.a1', '12.d1'], 'contains': ['72.e1', '108.d1', '108.f1'], 'core': '216.b1', 'coset_action_label': None, 'count': 144, 'diagramx': [4198, -1, 3689, -1], 'generators': [3, 648, 690, 432], 'label': '1296.3279.36.e1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1', 'old_label': '36.e1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.e1', 'subgroup_fusion': None, 'weyl_group': '18.4'}
  • id: 71088591
    {'ambient': '1296.3279', 'aut_centralizer_order': 1296, 'aut_label': '36.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '96.189', 'aut_weyl_index': 3888, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1', '18.d1', '18.i1', '18.j1'], 'contains': ['72.b1', '108.c1'], 'core': '72.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8055, -1, 3158, -1], 'generators': [378, 684, 432, 648], 'label': '1296.3279.36.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '36.f1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71088592
    {'ambient': '1296.3279', 'aut_centralizer_order': 72, 'aut_label': '36.g1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '864.4661', 'aut_weyl_index': 432, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.c1', '12.d1', '18.i1'], 'contains': ['72.b1', '108.d1'], 'core': '72.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [3252, -1, 2274, -1], 'generators': [3, 648, 684, 432], 'label': '1296.3279.36.g1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.d1', 'old_label': '36.g1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36.g1', 'subgroup_fusion': None, 'weyl_group': '36.13'}
  • id: 71088593
    {'ambient': '1296.3279', 'aut_centralizer_order': 9, 'aut_label': '3.c1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 27, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.b1', '6.d1', '6.e1', '9.a1', '9.d1'], 'core': '6.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8667, -1, 4091, -1], 'generators': [3, 684, 648, 324, 432, 650, 702], 'label': '1296.3279.3.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '3.c1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.c1', 'subgroup_fusion': None, 'weyl_group': '72.35'}
  • id: 71088594
    {'ambient': '1296.3279', 'aut_centralizer_order': 3888, 'aut_label': '48.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '96.189', 'aut_weyl_index': 3888, 'centralizer': '2.a1', 'complements': ['27.c1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '24.a1'], 'contains': ['144.a1', '144.b1', '144.d1'], 'core': '48.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [940, 6968, 1398, 7253], 'generators': [650, 684, 432], 'label': '1296.3279.48.a1', 'mobius_quo': -3, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': ['24.a1'], 'normal_contains': ['144.a1', '144.b1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '432.619', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.3', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088595
    {'ambient': '1296.3279', 'aut_centralizer_order': 324, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '24.14', 'aut_weyl_index': 15552, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.a1', '24.b1'], 'contains': ['144.a1', '144.c1', '144.e1', '144.f1', '144.g1'], 'core': '144.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1361, -1, 1890, -1], 'generators': [650, 690, 432], 'label': '1296.3279.48.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '48.b1', 'projective_image': '432.619', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088596
    {'ambient': '1296.3279', 'aut_centralizer_order': 54, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '72.46', 'aut_weyl_index': 5184, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.a1', '24.c1'], 'contains': ['144.d1', '144.e1', '144.f1', '144.g1'], 'core': '432.b1', 'coset_action_label': None, 'count': 96, 'diagramx': [445, -1, 1644, -1], 'generators': [722, 690, 432], 'label': '1296.3279.48.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '48.c1', 'projective_image': '1296.3279', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088597
    {'ambient': '1296.3279', 'aut_centralizer_order': 108, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '864.4661', 'aut_weyl_index': 432, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '24.d1'], 'contains': ['144.b1', '144.e1'], 'core': '144.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [697, -1, 1038, -1], 'generators': [6, 684, 432], 'label': '1296.3279.48.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '48.d1', 'projective_image': '1296.3279', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088599
    {'ambient': '1296.3279', 'aut_centralizer_order': 7776, 'aut_label': '54.a1', 'aut_quo_index': 13, 'aut_stab_index': 1, 'aut_weyl_group': '48.48', 'aut_weyl_index': 7776, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['18.a1', '18.b1', '27.a1'], 'contains': ['108.a1', '162.a1'], 'core': '54.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7705, 5213, 9073, 2164], 'generators': [378, 324, 650, 648], 'label': '1296.3279.54.a1', 'mobius_quo': 0, 'mobius_sub': 729, 'normal_closure': '54.a1', 'normal_contained_in': ['18.a1', '18.b1'], 'normal_contains': ['162.a1', '216.a1'], 'normalizer': '1.a1', 'old_label': '54.a1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71088600
    {'ambient': '1296.3279', 'aut_centralizer_order': 1944, 'aut_label': '54.b1', 'aut_quo_index': 4, 'aut_stab_index': 4, 'aut_weyl_group': '48.48', 'aut_weyl_index': 7776, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['18.a1', '18.c1', '18.d1', '18.g1', '18.h1', '27.b1'], 'contains': ['108.c1', '162.a1'], 'core': '54.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [6649, 2941, 5447, 4189], 'generators': [378, 324, 684, 648], 'label': '1296.3279.54.b1', 'mobius_quo': 0, 'mobius_sub': 27, 'normal_closure': '54.b1', 'normal_contained_in': ['18.a1', '18.c1', '18.d1'], 'normal_contains': ['162.a1', '216.b1'], 'normalizer': '1.a1', 'old_label': '54.b1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.b1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71088601
    {'ambient': '1296.3279', 'aut_centralizer_order': 1728, 'aut_label': '54.c1', 'aut_quo_index': 1, 'aut_stab_index': 9, 'aut_weyl_group': '24.12', 'aut_weyl_index': 15552, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 9, 'contained_in': ['18.b1', '18.c1', '18.k1', '27.c1'], 'contains': ['162.a1', '216.d1'], 'core': '54.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [6167, 4077, 7945, 3177], 'generators': [690, 54, 324, 648], 'label': '1296.3279.54.c1', 'mobius_quo': 0, 'mobius_sub': 27, 'normal_closure': '54.c1', 'normal_contained_in': ['18.b1', '18.c1'], 'normal_contains': ['162.a1'], 'normalizer': '1.a1', 'old_label': '54.c1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.c1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71088602
    {'ambient': '1296.3279', 'aut_centralizer_order': 864, 'aut_label': '54.d1', 'aut_quo_index': None, 'aut_stab_index': 27, 'aut_weyl_group': '16.11', 'aut_weyl_index': 23328, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.e1', '27.a1'], 'contains': ['108.a1', '108.b1', '162.b1'], 'core': '216.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [9264, -1, 8395, -1], 'generators': [3, 702, 650, 648], 'label': '1296.3279.54.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1', 'old_label': '54.d1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.d1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71088603
    {'ambient': '1296.3279', 'aut_centralizer_order': 1728, 'aut_label': '54.e1', 'aut_quo_index': None, 'aut_stab_index': 27, 'aut_weyl_group': '8.5', 'aut_weyl_index': 46656, 'centralizer': '54.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['18.f1', '27.a1'], 'contains': ['108.a1', '162.c1'], 'core': '216.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [9823, -1, 9412, -1], 'generators': [381, 650, 54, 648], 'label': '1296.3279.54.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1', 'old_label': '54.e1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088604
    {'ambient': '1296.3279', 'aut_centralizer_order': 1, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['8.a1', '12.a1', '12.c1', '12.d1'], 'core': '24.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3180, -1, 963, -1], 'generators': [3, 432, 684, 650, 648, 6], 'label': '1296.3279.4.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '4.a1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '54.14'}
  • id: 71088605
    {'ambient': '1296.3279', 'aut_centralizer_order': 216, 'aut_label': '54.f1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '48.38', 'aut_weyl_index': 7776, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.e1', '18.i1', '27.b1'], 'contains': ['108.c1', '108.d1', '162.b1'], 'core': '216.b1', 'coset_action_label': None, 'count': 36, 'diagramx': [8127, -1, 5102, -1], 'generators': [3, 702, 648, 684], 'label': '1296.3279.54.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '54.f1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.f1', 'subgroup_fusion': None, 'weyl_group': '24.8'}
  • id: 71088606
    {'ambient': '1296.3279', 'aut_centralizer_order': 432, 'aut_label': '54.g1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '24.14', 'aut_weyl_index': 15552, 'centralizer': '108.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.f1', '18.j1', '27.b1'], 'contains': ['108.c1', '162.c1'], 'core': '216.b1', 'coset_action_label': None, 'count': 36, 'diagramx': [8736, -1, 6281, -1], 'generators': [381, 54, 648, 684], 'label': '1296.3279.54.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '9.a1', 'old_label': '54.g1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.g1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71088607
    {'ambient': '1296.3279', 'aut_centralizer_order': 972, 'aut_label': '54.h1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '48.48', 'aut_weyl_index': 7776, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['18.a1', '18.g1', '18.k1'], 'contains': ['108.e1', '162.a1'], 'core': '162.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [5857, -1, 7238, -1], 'generators': [378, 324, 38, 648], 'label': '1296.3279.54.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '54.h1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.h1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 71088608
    {'ambient': '1296.3279', 'aut_centralizer_order': 864, 'aut_label': '54.i1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '24.12', 'aut_weyl_index': 15552, 'centralizer': '24.a1', 'complements': None, 'conjugacy_class_count': 9, 'contained_in': ['18.b1', '18.h1', '18.k1'], 'contains': ['162.a1', '216.e1'], 'core': '162.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [4721, -1, 7573, -1], 'generators': [656, 54, 324, 648], 'label': '1296.3279.54.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '54.i1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54.i1', 'subgroup_fusion': None, 'weyl_group': '12.3'}
  • id: 71088609
    {'ambient': '1296.3279', 'aut_centralizer_order': 23328, 'aut_label': '72.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 93312, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['24.a1', '24.b1', '36.a1', '36.b1'], 'contains': ['144.a1', '216.a1', '216.b1', '216.c1'], 'core': '72.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3705, 8084, 3848, 9467], 'generators': [648, 650, 684], 'label': '1296.3279.72.a1', 'mobius_quo': -1, 'mobius_sub': 108, 'normal_closure': '72.a1', 'normal_contained_in': ['18.a1', '24.a1'], 'normal_contains': ['144.a1', '216.a1', '216.b1'], 'normalizer': '1.a1', 'old_label': '72.a1', 'projective_image': '216.165', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.11', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088610
    {'ambient': '1296.3279', 'aut_centralizer_order': 7776, 'aut_label': '72.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.29', 'aut_weyl_index': 7776, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.a1', '24.d1', '24.e1', '36.f1', '36.g1'], 'contains': ['144.b1', '216.b1'], 'core': '72.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [2577, 5933, 2217, 8238], 'generators': [648, 684, 432], 'label': '1296.3279.72.b1', 'mobius_quo': -3, 'mobius_sub': 12, 'normal_closure': '72.b1', 'normal_contained_in': ['18.d1', '24.a1'], 'normal_contains': ['144.b1', '216.b1'], 'normalizer': '1.a1', 'old_label': '72.b1', 'projective_image': '648.737', 'quotient_action_image': '2.1', 'quotient_action_kernel': '36.11', 'quotient_action_kernel_order': 36, 'quotient_fusion': None, 'short_label': '72.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088611
    {'ambient': '1296.3279', 'aut_centralizer_order': 2592, 'aut_label': '72.c1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '4.2', 'aut_weyl_index': 93312, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 9, 'contained_in': ['18.b1', '24.b1', '36.c1'], 'contains': ['144.c1', '216.a1', '216.d1', '216.e1'], 'core': '216.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [4607, -1, 5204, -1], 'generators': [648, 650, 690], 'label': '1296.3279.72.c1', 'mobius_quo': None, 'mobius_sub': 27, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '72.c1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088612
    {'ambient': '1296.3279', 'aut_centralizer_order': 3888, 'aut_label': '72.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 31104, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.a1', '24.c1', '36.d1'], 'contains': ['144.d1', '216.b1', '216.c1'], 'core': '216.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [2201, -1, 2624, -1], 'generators': [648, 1082, 684], 'label': '1296.3279.72.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '72.d1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088613
    {'ambient': '1296.3279', 'aut_centralizer_order': 648, 'aut_label': '72.e1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '12.4', 'aut_weyl_index': 31104, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['18.c1', '24.b1', '24.c1', '24.d1', '36.e1'], 'contains': ['144.e1', '216.b1', '216.d1'], 'core': '216.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [2954, -1, 3440, -1], 'generators': [648, 690, 432], 'label': '1296.3279.72.e1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '18.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '72.e1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088614
    {'ambient': '1296.3279', 'aut_centralizer_order': 324, 'aut_label': '72.f1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '12.4', 'aut_weyl_index': 31104, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['18.h1', '24.b1', '24.c1', '24.e1'], 'contains': ['144.f1', '216.b1', '216.e1'], 'core': '216.b1', 'coset_action_label': None, 'count': 96, 'diagramx': [1825, -1, 3032, -1], 'generators': [648, 656, 684], 'label': '1296.3279.72.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '72.f1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088615
    {'ambient': '1296.3279', 'aut_centralizer_order': 108, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 12, 'aut_weyl_group': '288.1028', 'aut_weyl_index': 1296, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['2.a1', '3.b1'], 'contains': ['18.a1', '18.b1', '18.c1', '18.h1', '18.k1', '24.b1'], 'core': '6.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5241, 5010, 5927, 2345], 'generators': [650, 648, 324, 690, 432, 54], 'label': '1296.3279.6.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['18.a1', '18.b1', '18.c1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71088616
    {'ambient': '1296.3279', 'aut_centralizer_order': 324, 'aut_label': '72.g1', 'aut_quo_index': None, 'aut_stab_index': 288, 'aut_weyl_group': '4.2', 'aut_weyl_index': 93312, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 36, 'contained_in': ['18.k1', '24.b1', '24.c1'], 'contains': ['144.g1', '216.c1', '216.d1', '216.e1'], 'core': '648.a1', 'coset_action_label': None, 'count': 288, 'diagramx': [3329, -1, 4256, -1], 'generators': [648, 1082, 690], 'label': '1296.3279.72.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '72.g1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088617
    {'ambient': '1296.3279', 'aut_centralizer_order': 864, 'aut_label': '81.a1', 'aut_quo_index': None, 'aut_stab_index': 27, 'aut_weyl_group': '16.11', 'aut_weyl_index': 23328, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['27.a1', '27.b1', '27.c1'], 'contains': ['162.a1', '162.b1', '162.c1'], 'core': '162.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [8722, -1, 8734, -1], 'generators': [3, 324], 'label': '1296.3279.81.a1', 'mobius_quo': None, 'mobius_sub': 27, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1', 'old_label': '81.a1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '81.a1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71088618
    {'ambient': '1296.3279', 'aut_centralizer_order': 31104, 'aut_label': '108.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 93312, 'centralizer': '6.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['36.a1', '54.a1', '54.d1', '54.e1'], 'contains': ['216.a1', '324.a1'], 'core': '216.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9508, -1, 8104, -1], 'generators': [378, 650, 648], 'label': '1296.3279.108.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '108.a1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088620
    {'ambient': '1296.3279', 'aut_centralizer_order': 7776, 'aut_label': '108.c1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '4.2', 'aut_weyl_index': 93312, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.a1', '36.d1', '36.f1', '54.b1', '54.f1', '54.g1'], 'contains': ['216.b1', '324.a1'], 'core': '216.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7506, -1, 4868, -1], 'generators': [378, 684, 648], 'label': '1296.3279.108.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.c1', 'old_label': '108.c1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71088621
    {'ambient': '1296.3279', 'aut_centralizer_order': 432, 'aut_label': '108.d1', 'aut_quo_index': None, 'aut_stab_index': 72, 'aut_weyl_group': '12.4', 'aut_weyl_index': 31104, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.b1', '36.e1', '36.g1', '54.f1'], 'contains': ['216.b1', '324.b1'], 'core': '216.b1', 'coset_action_label': None, 'count': 72, 'diagramx': [4292, -1, 4598, -1], 'generators': [3, 648, 684], 'label': '1296.3279.108.d1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '18.e1', 'old_label': '108.d1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71088622
    {'ambient': '1296.3279', 'aut_centralizer_order': 3888, 'aut_label': '108.e1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '4.2', 'aut_weyl_index': 93312, 'centralizer': '12.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['36.a1', '36.d1', '54.h1'], 'contains': ['216.c1', '324.a1'], 'core': '648.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7146, -1, 5720, -1], 'generators': [378, 38, 648], 'label': '1296.3279.108.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '108.e1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088623
    {'ambient': '1296.3279', 'aut_centralizer_order': 96, 'aut_label': '108.f1', 'aut_quo_index': None, 'aut_stab_index': 324, 'aut_weyl_group': '12.4', 'aut_weyl_index': 31104, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 9, 'contained_in': ['27.c1', '36.c1', '36.e1'], 'contains': ['216.d1', '324.b1'], 'core': '648.a1', 'coset_action_label': None, 'count': 324, 'diagramx': [5072, -1, 6218, -1], 'generators': [3, 648, 690], 'label': '1296.3279.108.f1', 'mobius_quo': None, 'mobius_sub': 3, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '36.c1', 'old_label': '108.f1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108.f1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71088624
    {'ambient': '1296.3279', 'aut_centralizer_order': 23328, 'aut_label': '144.a1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '4.2', 'aut_weyl_index': 93312, 'centralizer': '2.a1', 'complements': ['9.c1'], 'conjugacy_class_count': 4, 'contained_in': ['48.a1', '48.b1', '72.a1'], 'contains': ['432.a1', '432.b1', '432.c1'], 'core': '144.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [1662, 7373, 2382, 8120], 'generators': [650, 684], 'label': '1296.3279.144.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '144.a1', 'normal_contained_in': ['48.a1', '72.a1'], 'normal_contains': ['432.a1', '432.b1'], 'normalizer': '1.a1', 'old_label': '144.a1', 'projective_image': '432.619', 'quotient_action_image': '2.1', 'quotient_action_kernel': '72.25', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '144.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088625
    {'ambient': '1296.3279', 'aut_centralizer_order': 7776, 'aut_label': '144.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.29', 'aut_weyl_index': 7776, 'centralizer': '2.a1', 'complements': ['9.b1'], 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '48.d1', '48.e1', '72.b1'], 'contains': ['432.b1'], 'core': '144.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [677, 6542, 1398, 7379], 'generators': [684, 432], 'label': '1296.3279.144.b1', 'mobius_quo': 3, 'mobius_sub': 0, 'normal_closure': '144.b1', 'normal_contained_in': ['48.a1', '72.b1'], 'normal_contains': ['432.b1'], 'normalizer': '1.a1', 'old_label': '144.b1', 'projective_image': '1296.3279', 'quotient_action_image': '2.1', 'quotient_action_kernel': '72.25', 'quotient_action_kernel_order': 72, 'quotient_fusion': None, 'short_label': '144.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088626
    {'ambient': '1296.3279', 'aut_centralizer_order': 162, 'aut_label': '6.b1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2304.d', 'aut_weyl_index': 162, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.c1'], 'contains': ['12.b1', '18.a1', '18.d1', '18.g1'], 'core': '6.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7641, 3043, 4091, 4099], 'generators': [378, 648, 432, 324, 650, 684], 'label': '1296.3279.6.b1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.b1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['18.a1', '18.d1', '24.a1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': '216.165', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.b1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71088627
    {'ambient': '1296.3279', 'aut_centralizer_order': 2592, 'aut_label': '144.c1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '4.2', 'aut_weyl_index': 93312, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 9, 'contained_in': ['48.b1', '72.c1'], 'contains': ['432.a1', '432.d1', '432.e1'], 'core': '432.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [1905, -1, 2873, -1], 'generators': [650, 690], 'label': '1296.3279.144.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '144.c1', 'projective_image': '432.619', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088628
    {'ambient': '1296.3279', 'aut_centralizer_order': 3888, 'aut_label': '144.d1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '12.4', 'aut_weyl_index': 31104, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.a1', '48.c1', '72.d1'], 'contains': ['432.b1', '432.c1'], 'core': '432.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [362, -1, 1644, -1], 'generators': [1082, 684], 'label': '1296.3279.144.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '144.d1', 'projective_image': '1296.3279', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088629
    {'ambient': '1296.3279', 'aut_centralizer_order': 648, 'aut_label': '144.e1', 'aut_quo_index': None, 'aut_stab_index': 48, 'aut_weyl_group': '12.4', 'aut_weyl_index': 31104, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['48.b1', '48.c1', '48.d1', '72.e1'], 'contains': ['432.b1', '432.d1'], 'core': '432.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [923, -1, 2136, -1], 'generators': [690, 432], 'label': '1296.3279.144.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '144.e1', 'projective_image': '1296.3279', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088630
    {'ambient': '1296.3279', 'aut_centralizer_order': 324, 'aut_label': '144.f1', 'aut_quo_index': None, 'aut_stab_index': 96, 'aut_weyl_group': '12.4', 'aut_weyl_index': 31104, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['48.b1', '48.c1', '48.e1', '72.f1'], 'contains': ['432.b1', '432.e1'], 'core': '432.b1', 'coset_action_label': None, 'count': 96, 'diagramx': [89, -1, 1890, -1], 'generators': [656, 684], 'label': '1296.3279.144.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '144.f1', 'projective_image': '1296.3279', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088631
    {'ambient': '1296.3279', 'aut_centralizer_order': 324, 'aut_label': '144.g1', 'aut_quo_index': None, 'aut_stab_index': 288, 'aut_weyl_group': '4.2', 'aut_weyl_index': 93312, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 36, 'contained_in': ['48.b1', '48.c1', '72.g1'], 'contains': ['432.c1', '432.d1', '432.e1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 288, 'diagramx': [1416, -1, 2628, -1], 'generators': [1082, 690], 'label': '1296.3279.144.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '144.g1', 'projective_image': '1296.3279', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144.g1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088632
    {'ambient': '1296.3279', 'aut_centralizer_order': 15552, 'aut_label': '162.a1', 'aut_quo_index': 13, 'aut_stab_index': 1, 'aut_weyl_group': '24.12', 'aut_weyl_index': 15552, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['54.a1', '54.b1', '54.c1', '54.h1', '54.i1', '81.a1'], 'contains': ['324.a1'], 'core': '162.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6620, 4077, 7573, 3177], 'generators': [378, 324], 'label': '1296.3279.162.a1', 'mobius_quo': 0, 'mobius_sub': -729, 'normal_closure': '162.a1', 'normal_contained_in': ['54.a1', '54.b1', '54.c1'], 'normal_contains': ['648.a1'], 'normalizer': '1.a1', 'old_label': '162.a1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.a1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71088633
    {'ambient': '1296.3279', 'aut_centralizer_order': 1728, 'aut_label': '162.b1', 'aut_quo_index': None, 'aut_stab_index': 27, 'aut_weyl_group': '8.3', 'aut_weyl_index': 46656, 'centralizer': '216.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.d1', '54.f1', '81.a1'], 'contains': ['324.a1', '324.b1'], 'core': '648.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [7771, -1, 7042, -1], 'generators': [3, 702], 'label': '1296.3279.162.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1', 'old_label': '162.b1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.b1', 'subgroup_fusion': None, 'weyl_group': '8.3'}
  • id: 71088634
    {'ambient': '1296.3279', 'aut_centralizer_order': 3456, 'aut_label': '162.c1', 'aut_quo_index': None, 'aut_stab_index': 27, 'aut_weyl_group': '4.2', 'aut_weyl_index': 93312, 'centralizer': '54.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['54.e1', '54.g1', '81.a1'], 'contains': ['324.a1'], 'core': '648.a1', 'coset_action_label': None, 'count': 27, 'diagramx': [9054, -1, 8539, -1], 'generators': [381], 'label': '1296.3279.162.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '27.a1', 'old_label': '162.c1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088635
    {'ambient': '1296.3279', 'aut_centralizer_order': 186624, 'aut_label': '216.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 186624, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['72.a1', '72.c1', '108.a1', '108.b1'], 'contains': ['432.a1', '648.a1'], 'core': '216.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4480, 8925, 4946, 9467], 'generators': [648, 650], 'label': '1296.3279.216.a1', 'mobius_quo': 1, 'mobius_sub': -2916, 'normal_closure': '216.a1', 'normal_contained_in': ['54.a1', '72.a1'], 'normal_contains': ['432.a1', '648.a1'], 'normalizer': '1.a1', 'old_label': '216.a1', 'projective_image': '216.165', 'quotient_action_image': '1.1', 'quotient_action_kernel': '216.165', 'quotient_action_kernel_order': 216, 'quotient_fusion': None, 'short_label': '216.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088636
    {'ambient': '1296.3279', 'aut_centralizer_order': 46656, 'aut_label': '216.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 186624, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['72.a1', '72.b1', '72.d1', '72.e1', '72.f1', '108.c1', '108.d1'], 'contains': ['432.b1', '648.a1'], 'core': '216.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [2851, 7810, 3440, 8816], 'generators': [648, 684], 'label': '1296.3279.216.b1', 'mobius_quo': 1, 'mobius_sub': -108, 'normal_closure': '216.b1', 'normal_contained_in': ['54.b1', '72.a1', '72.b1'], 'normal_contains': ['432.b1', '648.a1'], 'normalizer': '1.a1', 'old_label': '216.b1', 'projective_image': '648.737', 'quotient_action_image': '2.1', 'quotient_action_kernel': '108.41', 'quotient_action_kernel_order': 108, 'quotient_fusion': None, 'short_label': '216.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088637
    {'ambient': '1296.3279', 'aut_centralizer_order': 36, 'aut_label': '6.c1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '10368.qn', 'aut_weyl_index': 36, 'centralizer': '24.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['18.c1', '18.d1', '24.d1'], 'core': '6.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [4292, 1075, 2280, 5852], 'generators': [6, 648, 324, 684, 432, 54], 'label': '1296.3279.6.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['18.c1', '18.d1'], 'normalizer': '1.a1', 'old_label': '6.c1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.c1', 'subgroup_fusion': None, 'weyl_group': '24.12'}
  • id: 71088638
    {'ambient': '1296.3279', 'aut_centralizer_order': 23328, 'aut_label': '216.c1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 186624, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['72.a1', '72.d1', '72.g1', '108.e1'], 'contains': ['432.c1', '648.a1'], 'core': '648.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [3156, -1, 3944, -1], 'generators': [648, 38], 'label': '1296.3279.216.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '72.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '216.c1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088639
    {'ambient': '1296.3279', 'aut_centralizer_order': 5184, 'aut_label': '216.d1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '2.1', 'aut_weyl_index': 186624, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 9, 'contained_in': ['54.c1', '72.c1', '72.e1', '72.g1', '108.f1'], 'contains': ['432.d1', '648.a1'], 'core': '648.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [4007, -1, 4472, -1], 'generators': [648, 690], 'label': '1296.3279.216.d1', 'mobius_quo': None, 'mobius_sub': -27, 'normal_closure': '54.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '216.d1', 'projective_image': '648.737', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '216.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088643
    {'ambient': '1296.3279', 'aut_centralizer_order': 186624, 'aut_label': '432.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 186624, 'centralizer': '1.a1', 'complements': ['3.a1'], 'conjugacy_class_count': 1, 'contained_in': ['144.a1', '144.c1', '216.a1'], 'contains': ['1296.a1'], 'core': '432.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [1958, 8367, 3059, 8771], 'generators': [650], 'label': '1296.3279.432.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '432.a1', 'normal_contained_in': ['144.a1', '216.a1'], 'normal_contains': ['1296.a1'], 'normalizer': '1.a1', 'old_label': '432.a1', 'projective_image': '432.619', 'quotient_action_image': '1.1', 'quotient_action_kernel': '432.619', 'quotient_action_kernel_order': 432, 'quotient_fusion': None, 'short_label': '432.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088644
    {'ambient': '1296.3279', 'aut_centralizer_order': 46656, 'aut_label': '432.b1', 'aut_quo_index': 1, 'aut_stab_index': 4, 'aut_weyl_group': '2.1', 'aut_weyl_index': 186624, 'centralizer': '2.a1', 'complements': ['3.b1'], 'conjugacy_class_count': 4, 'contained_in': ['144.a1', '144.b1', '144.d1', '144.e1', '144.f1', '216.b1'], 'contains': ['1296.a1'], 'core': '432.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [645, 7252, 2136, 8120], 'generators': [684], 'label': '1296.3279.432.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '432.b1', 'normal_contained_in': ['144.a1', '144.b1', '216.b1'], 'normal_contains': ['1296.a1'], 'normalizer': '1.a1', 'old_label': '432.b1', 'projective_image': '1296.3279', 'quotient_action_image': '2.1', 'quotient_action_kernel': '216.134', 'quotient_action_kernel_order': 216, 'quotient_fusion': None, 'short_label': '432.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088645
    {'ambient': '1296.3279', 'aut_centralizer_order': 23328, 'aut_label': '432.c1', 'aut_quo_index': None, 'aut_stab_index': 8, 'aut_weyl_group': '2.1', 'aut_weyl_index': 186624, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['144.a1', '144.d1', '144.g1', '216.c1'], 'contains': ['1296.a1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [1170, -1, 2412, -1], 'generators': [38], 'label': '1296.3279.432.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '144.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '432.c1', 'projective_image': '1296.3279', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71088646
    {'ambient': '1296.3279', 'aut_centralizer_order': 5184, 'aut_label': '432.d1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '2.1', 'aut_weyl_index': 186624, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 9, 'contained_in': ['144.c1', '144.e1', '144.g1', '216.d1'], 'contains': ['1296.a1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [1502, -1, 2843, -1], 'generators': [690], 'label': '1296.3279.432.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '54.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.a1', 'old_label': '432.d1', 'projective_image': '1296.3279', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71088647
    {'ambient': '1296.3279', 'aut_centralizer_order': 2592, 'aut_label': '432.e1', 'aut_quo_index': None, 'aut_stab_index': 72, 'aut_weyl_group': '2.1', 'aut_weyl_index': 186624, 'centralizer': '8.a1', 'complements': None, 'conjugacy_class_count': 9, 'contained_in': ['144.c1', '144.f1', '144.g1', '216.e1'], 'contains': ['1296.a1'], 'core': '1296.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [1701, -1, 2628, -1], 'generators': [656], 'label': '1296.3279.432.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '18.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.a1', 'old_label': '432.e1', 'projective_image': '1296.3279', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '432.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}