Abstract group data - 1344.11566

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• gps_groups •

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

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '32.51', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[1, 2, 4, 8, 32], [1, 2, 4, 8, 34], [17, 2, 4, 8, 32], [1, 2, 28, 8, 32], [1, 2, 4, 24, 1312], [1, 2, 4, 8, 1312], [897, 2, 900, 8, 928], [1, 2, 4, 8, 1184], [1, 2, 20, 8, 32], [683, 696, 686, 8, 34], [897, 2, 900, 8, 32], [1, 2, 388, 8, 32], [17, 18, 20, 8, 32], [1, 2, 4, 8, 48]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 96768, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 3, 1], [2, 6, 1, 1], [2, 6, 3, 1], [2, 14, 2, 1], [2, 42, 6, 1], [3, 2, 1, 1], [4, 2, 1, 1], [4, 2, 3, 1], [4, 3, 2, 1], [4, 6, 3, 1], [4, 14, 6, 1], [4, 42, 2, 1], [6, 2, 1, 1], [6, 4, 3, 1], [6, 28, 2, 1], [7, 2, 3, 1], [12, 4, 1, 1], [12, 4, 3, 1], [12, 28, 6, 1], [14, 2, 3, 1], [14, 4, 9, 1], [14, 6, 6, 1], [14, 12, 9, 1], [21, 4, 3, 1], [28, 2, 6, 1], [28, 4, 9, 1], [28, 6, 6, 1], [28, 12, 9, 1], [42, 4, 3, 1], [42, 8, 9, 1], [84, 4, 6, 1], [84, 8, 9, 1]], 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 1, 1], [2, 2, 3], [2, 6, 4], [2, 14, 2], [2, 42, 6], [3, 2, 1], [4, 2, 4], [4, 3, 2], [4, 6, 3], [4, 14, 6], [4, 42, 2], [6, 2, 1], [6, 4, 3], [6, 28, 2], [7, 2, 3], [12, 4, 4], [12, 28, 6], [14, 2, 3], [14, 4, 9], [14, 6, 6], [14, 12, 9], [21, 4, 3], [28, 2, 6], [28, 4, 9], [28, 6, 6], [28, 12, 9], [42, 4, 3], [42, 8, 9], [84, 4, 6], [84, 8, 9]], 'center_label': '2.1', 'center_order': 2, 'central_product': True, 'central_quotient': '672.1271', 'commutator_count': 1, 'commutator_label': '42.6', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '7.1'], 'composition_length': 8, 'conjugacy_classes_known': True, 'counter': 11566, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [], 'direct_product': False, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 2, 1, 3], [2, 6, 1, 4], [2, 14, 1, 2], [2, 42, 1, 6], [3, 2, 1, 1], [4, 2, 1, 4], [4, 3, 2, 1], [4, 6, 1, 3], [4, 14, 1, 6], [4, 42, 1, 2], [6, 2, 1, 1], [6, 4, 1, 3], [6, 28, 1, 2], [7, 2, 3, 1], [12, 4, 1, 4], [12, 28, 1, 6], [14, 2, 3, 1], [14, 4, 3, 3], [14, 6, 6, 1], [14, 12, 3, 3], [21, 4, 3, 1], [28, 2, 6, 1], [28, 4, 3, 3], [28, 6, 6, 1], [28, 12, 3, 3], [42, 4, 3, 1], [42, 8, 3, 3], [84, 4, 6, 1], [84, 8, 3, 3]], 'element_repr_type': 'PC', 'elementary': 1, 'eulerian_function': 13332480000, 'exponent': 84, 'exponents_of_order': [6, 1, 1], 'factors_of_aut_order': [2, 3, 7], 'factors_of_order': [2, 3, 7], 'faithful_reps': [[8, 1, 6]], 'familial': False, 'frattini_label': '2.1', 'frattini_quotient': '672.1271', 'hash': 11566, 'hyperelementary': 2, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': None, 'inner_gens': None, 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': 672, 'inner_split': None, 'inner_tex': 'C_{21}:C_2^5', 'inner_used': None, 'irrC_degree': 8, 'irrQ_degree': 48, 'irrQ_dim': 96, 'irrR_degree': 8, 'irrep_stats': [[1, 32], [2, 64], [4, 38], [8, 7]], 'label': '1344.11566', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': True, 'metacyclic': False, 'monomial': True, 'name': 'C84.C2^4', 'ngens': 8, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 34, 'number_characteristic_subgroups': 40, 'number_conjugacy_classes': 141, 'number_divisions': 76, 'number_normal_subgroups': 528, 'number_subgroup_autclasses': 404, 'number_subgroup_classes': 1620, 'number_subgroups': 11652, 'old_label': None, 'order': 1344, 'order_factorization_type': 311, 'order_stats': [[1, 1], [2, 311], [3, 2], [4, 200], [6, 70], [7, 6], [12, 184], [14, 186], [21, 12], [28, 192], [42, 84], [84, 96]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': True, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': '144.195', 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 144, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': 'C_6^2:C_2^2', 'pc_rank': 5, 'perfect': False, 'permutation_degree': 26, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 2, 2], 'quasisimple': False, 'rank': 5, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 32], [2, 16], [6, 16], [8, 2], [12, 8], [48, 2]], 'representations': {'PC': {'code': 5559847065097708954379003499261975844813588965899, 'gens': [1, 2, 3, 4, 6], 'pres': [8, -2, -2, -2, -2, -2, 2, -3, -7, 137, 211, 91, 45317, 1165, 15765, 141, 28678, 17942, 222, 18455]}, 'Perm': {'d': 26, 'gens': [621574835364366654960196, 358828940499169, 4579447041886, 5987254304875, 6767426431180, 8698611191114, 6758061133824000, 16754357281155028254720000]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2, 2], 'solvability_type': 7, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'C_{84}.C_2^4', 'transitive_degree': 336, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

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

  
  
  • id: 115591718
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 11566, 'group_order': 1344, 'label': '1A', 'order': 1, 'powers': [1, 1, 1], 'representative': 0, 'size': 1}
  • id: 115591771
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 11566, 'group_order': 1344, 'label': '2A', 'order': 2, 'powers': [1, 2, 2], 'representative': 16, 'size': 1}
  • id: 115591782
    {'aut_label': '2B', 'centralizer': '2.b1', 'counter': 3, 'group_counter': 11566, 'group_order': 1344, 'label': '2B', 'order': 2, 'powers': [1, 3, 3], 'representative': 672, 'size': 2}
  • id: 115591793
    {'aut_label': '2B', 'centralizer': '2.b1', 'counter': 4, 'group_counter': 11566, 'group_order': 1344, 'label': '2C', 'order': 2, 'powers': [1, 4, 4], 'representative': 674, 'size': 2}
  • id: 115591804
    {'aut_label': '2B', 'centralizer': '2.b1', 'counter': 5, 'group_counter': 11566, 'group_order': 1344, 'label': '2D', 'order': 2, 'powers': [1, 5, 5], 'representative': 10, 'size': 2}
  • id: 115591815
    {'aut_label': '2E', 'centralizer': '6.h1', 'counter': 6, 'group_counter': 11566, 'group_order': 1344, 'label': '2E', 'order': 2, 'powers': [1, 6, 6], 'representative': 11, 'size': 6}
  • id: 115591826
    {'aut_label': '2F', 'centralizer': '6.b1', 'counter': 7, 'group_counter': 11566, 'group_order': 1344, 'label': '2F', 'order': 2, 'powers': [1, 7, 7], 'representative': 1, 'size': 6}
  • id: 115591837
    {'aut_label': '2F', 'centralizer': '6.b1', 'counter': 8, 'group_counter': 11566, 'group_order': 1344, 'label': '2G', 'order': 2, 'powers': [1, 8, 8], 'representative': 233, 'size': 6}
  • id: 115591848
    {'aut_label': '2F', 'centralizer': '6.b1', 'counter': 9, 'group_counter': 11566, 'group_order': 1344, 'label': '2H', 'order': 2, 'powers': [1, 9, 9], 'representative': 235, 'size': 6}
  • id: 115591719
    {'aut_label': '2I', 'centralizer': '14.k1', 'counter': 10, 'group_counter': 11566, 'group_order': 1344, 'label': '2I', 'order': 2, 'powers': [1, 10, 10], 'representative': 965, 'size': 14}
  • id: 115591730
    {'aut_label': '2I', 'centralizer': '14.k1', 'counter': 11, 'group_counter': 11566, 'group_order': 1344, 'label': '2J', 'order': 2, 'powers': [1, 11, 11], 'representative': 973, 'size': 14}
  • id: 115591741
    {'aut_label': '2K', 'centralizer': '42.f1', 'counter': 12, 'group_counter': 11566, 'group_order': 1344, 'label': '2K', 'order': 2, 'powers': [1, 12, 12], 'representative': 1142, 'size': 42}
  • id: 115591752
    {'aut_label': '2K', 'centralizer': '42.f1', 'counter': 13, 'group_counter': 11566, 'group_order': 1344, 'label': '2L', 'order': 2, 'powers': [1, 13, 13], 'representative': 84, 'size': 42}
  • id: 115591763
    {'aut_label': '2K', 'centralizer': '42.f1', 'counter': 14, 'group_counter': 11566, 'group_order': 1344, 'label': '2M', 'order': 2, 'powers': [1, 14, 14], 'representative': 564, 'size': 42}
  • id: 115591766
    {'aut_label': '2K', 'centralizer': '42.f1', 'counter': 15, 'group_counter': 11566, 'group_order': 1344, 'label': '2N', 'order': 2, 'powers': [1, 15, 15], 'representative': 1164, 'size': 42}
  • id: 115591767
    {'aut_label': '2K', 'centralizer': '42.f1', 'counter': 16, 'group_counter': 11566, 'group_order': 1344, 'label': '2O', 'order': 2, 'powers': [1, 16, 16], 'representative': 940, 'size': 42}
  • id: 115591768
    {'aut_label': '2K', 'centralizer': '42.f1', 'counter': 17, 'group_counter': 11566, 'group_order': 1344, 'label': '2P', 'order': 2, 'powers': [1, 17, 17], 'representative': 1198, 'size': 42}
  • id: 115591769
    {'aut_label': '3A', 'centralizer': '2.h1', 'counter': 18, 'group_counter': 11566, 'group_order': 1344, 'label': '3A', 'order': 3, 'powers': [18, 1, 18], 'representative': 896, 'size': 2}
  • id: 115591770
    {'aut_label': '4A', 'centralizer': '2.g1', 'counter': 19, 'group_counter': 11566, 'group_order': 1344, 'label': '4A', 'order': 4, 'powers': [2, 19, 19], 'representative': 8, 'size': 2}
  • id: 115591772
    {'aut_label': '4B', 'centralizer': '2.a1', 'counter': 20, 'group_counter': 11566, 'group_order': 1344, 'label': '4B', 'order': 4, 'powers': [2, 20, 20], 'representative': 680, 'size': 2}
  • id: 115591773
    {'aut_label': '4B', 'centralizer': '2.a1', 'counter': 21, 'group_counter': 11566, 'group_order': 1344, 'label': '4C', 'order': 4, 'powers': [2, 21, 21], 'representative': 2, 'size': 2}
  • id: 115591774
    {'aut_label': '4B', 'centralizer': '2.a1', 'counter': 22, 'group_counter': 11566, 'group_order': 1344, 'label': '4D', 'order': 4, 'powers': [2, 22, 22], 'representative': 682, 'size': 2}
  • id: 115591775
    {'aut_label': '4E1', 'centralizer': '3.a1', 'counter': 23, 'group_counter': 11566, 'group_order': 1344, 'label': '4E1', 'order': 4, 'powers': [2, 24, 24], 'representative': 19, 'size': 3}
  • id: 115591776
    {'aut_label': '4E1', 'centralizer': '3.a1', 'counter': 24, 'group_counter': 11566, 'group_order': 1344, 'label': '4E-1', 'order': 4, 'powers': [2, 23, 23], 'representative': 3, 'size': 3}
  • id: 115591777
    {'aut_label': '4F', 'centralizer': '6.c1', 'counter': 25, 'group_counter': 11566, 'group_order': 1344, 'label': '4F', 'order': 4, 'powers': [2, 25, 25], 'representative': 241, 'size': 6}
  • id: 115591778
    {'aut_label': '4F', 'centralizer': '6.c1', 'counter': 26, 'group_counter': 11566, 'group_order': 1344, 'label': '4G', 'order': 4, 'powers': [2, 26, 26], 'representative': 25, 'size': 6}
  • id: 115591779
    {'aut_label': '4F', 'centralizer': '6.c1', 'counter': 27, 'group_counter': 11566, 'group_order': 1344, 'label': '4H', 'order': 4, 'powers': [2, 27, 27], 'representative': 243, 'size': 6}
  • id: 115591780
    {'aut_label': '4I', 'centralizer': '14.g1', 'counter': 28, 'group_counter': 11566, 'group_order': 1344, 'label': '4I', 'order': 4, 'powers': [2, 28, 28], 'representative': 501, 'size': 14}
  • id: 115591781
    {'aut_label': '4I', 'centralizer': '14.g1', 'counter': 29, 'group_counter': 11566, 'group_order': 1344, 'label': '4J', 'order': 4, 'powers': [2, 29, 29], 'representative': 509, 'size': 14}
  • id: 115591783
    {'aut_label': '4I', 'centralizer': '14.g1', 'counter': 30, 'group_counter': 11566, 'group_order': 1344, 'label': '4K', 'order': 4, 'powers': [2, 30, 30], 'representative': 983, 'size': 14}
  • id: 115591784
    {'aut_label': '4I', 'centralizer': '14.g1', 'counter': 31, 'group_counter': 11566, 'group_order': 1344, 'label': '4L', 'order': 4, 'powers': [2, 31, 31], 'representative': 503, 'size': 14}
  • id: 115591785
    {'aut_label': '4I', 'centralizer': '14.g1', 'counter': 32, 'group_counter': 11566, 'group_order': 1344, 'label': '4M', 'order': 4, 'powers': [2, 32, 32], 'representative': 991, 'size': 14}
  • id: 115591786
    {'aut_label': '4I', 'centralizer': '14.g1', 'counter': 33, 'group_counter': 11566, 'group_order': 1344, 'label': '4N', 'order': 4, 'powers': [2, 33, 33], 'representative': 511, 'size': 14}
  • id: 115591787
    {'aut_label': '4O', 'centralizer': '42.k1', 'counter': 34, 'group_counter': 11566, 'group_order': 1344, 'label': '4O', 'order': 4, 'powers': [2, 34, 34], 'representative': 990, 'size': 42}
  • id: 115591788
    {'aut_label': '4O', 'centralizer': '42.k1', 'counter': 35, 'group_counter': 11566, 'group_order': 1344, 'label': '4P', 'order': 4, 'powers': [2, 35, 35], 'representative': 1158, 'size': 42}
  • id: 115591789
    {'aut_label': '6A', 'centralizer': '2.h1', 'counter': 36, 'group_counter': 11566, 'group_order': 1344, 'label': '6A', 'order': 6, 'powers': [18, 2, 36], 'representative': 464, 'size': 2}
  • id: 115591790
    {'aut_label': '6B', 'centralizer': '4.l1', 'counter': 37, 'group_counter': 11566, 'group_order': 1344, 'label': '6B', 'order': 6, 'powers': [18, 3, 37], 'representative': 224, 'size': 4}
  • id: 115591791
    {'aut_label': '6B', 'centralizer': '4.l1', 'counter': 38, 'group_counter': 11566, 'group_order': 1344, 'label': '6C', 'order': 6, 'powers': [18, 4, 38], 'representative': 226, 'size': 4}
  • id: 115591792
    {'aut_label': '6B', 'centralizer': '4.l1', 'counter': 39, 'group_counter': 11566, 'group_order': 1344, 'label': '6D', 'order': 6, 'powers': [18, 5, 39], 'representative': 458, 'size': 4}
  • id: 115591794
    {'aut_label': '6E', 'centralizer': '28.bf1', 'counter': 40, 'group_counter': 11566, 'group_order': 1344, 'label': '6E', 'order': 6, 'powers': [18, 10, 40], 'representative': 69, 'size': 28}
  • id: 115591795
    {'aut_label': '6E', 'centralizer': '28.bf1', 'counter': 41, 'group_counter': 11566, 'group_order': 1344, 'label': '6F', 'order': 6, 'powers': [18, 11, 41], 'representative': 77, 'size': 28}
  • id: 115591796
    {'aut_label': '7A1', 'centralizer': '2.g1', 'counter': 42, 'group_counter': 11566, 'group_order': 1344, 'label': '7A1', 'order': 7, 'powers': [43, 44, 1], 'representative': 384, 'size': 2}
  • id: 115591797
    {'aut_label': '7A1', 'centralizer': '2.g1', 'counter': 43, 'group_counter': 11566, 'group_order': 1344, 'label': '7A2', 'order': 7, 'powers': [44, 42, 1], 'representative': 768, 'size': 2}
  • id: 115591798
    {'aut_label': '7A1', 'centralizer': '2.g1', 'counter': 44, 'group_counter': 11566, 'group_order': 1344, 'label': '7A3', 'order': 7, 'powers': [42, 43, 1], 'representative': 1152, 'size': 2}
  • id: 115591799
    {'aut_label': '12A', 'centralizer': '4.q1', 'counter': 45, 'group_counter': 11566, 'group_order': 1344, 'label': '12A', 'order': 12, 'powers': [36, 19, 45], 'representative': 472, 'size': 4}
  • id: 115591800
    {'aut_label': '12B', 'centralizer': '4.h1', 'counter': 46, 'group_counter': 11566, 'group_order': 1344, 'label': '12B', 'order': 12, 'powers': [36, 20, 46], 'representative': 248, 'size': 4}
  • id: 115591801
    {'aut_label': '12B', 'centralizer': '4.h1', 'counter': 47, 'group_counter': 11566, 'group_order': 1344, 'label': '12C', 'order': 12, 'powers': [36, 21, 47], 'representative': 466, 'size': 4}
  • id: 115591802
    {'aut_label': '12B', 'centralizer': '4.h1', 'counter': 48, 'group_counter': 11566, 'group_order': 1344, 'label': '12D', 'order': 12, 'powers': [36, 22, 48], 'representative': 250, 'size': 4}
  • id: 115591803
    {'aut_label': '12E', 'centralizer': '28.r1', 'counter': 49, 'group_counter': 11566, 'group_order': 1344, 'label': '12E', 'order': 12, 'powers': [36, 28, 49], 'representative': 37, 'size': 28}
  • id: 115591805
    {'aut_label': '12E', 'centralizer': '28.r1', 'counter': 50, 'group_counter': 11566, 'group_order': 1344, 'label': '12F', 'order': 12, 'powers': [36, 29, 50], 'representative': 45, 'size': 28}
  • id: 115591806
    {'aut_label': '12E', 'centralizer': '28.r1', 'counter': 51, 'group_counter': 11566, 'group_order': 1344, 'label': '12G', 'order': 12, 'powers': [36, 30, 51], 'representative': 71, 'size': 28}
  • id: 115591807
    {'aut_label': '12E', 'centralizer': '28.r1', 'counter': 52, 'group_counter': 11566, 'group_order': 1344, 'label': '12H', 'order': 12, 'powers': [36, 31, 52], 'representative': 39, 'size': 28}
  • id: 115591808
    {'aut_label': '12E', 'centralizer': '28.r1', 'counter': 53, 'group_counter': 11566, 'group_order': 1344, 'label': '12I', 'order': 12, 'powers': [36, 32, 53], 'representative': 79, 'size': 28}
  • id: 115591809
    {'aut_label': '12E', 'centralizer': '28.r1', 'counter': 54, 'group_counter': 11566, 'group_order': 1344, 'label': '12J', 'order': 12, 'powers': [36, 33, 54], 'representative': 47, 'size': 28}
  • id: 115591810
    {'aut_label': '14A1', 'centralizer': '2.g1', 'counter': 55, 'group_counter': 11566, 'group_order': 1344, 'label': '14A1', 'order': 14, 'powers': [43, 56, 2], 'representative': 400, 'size': 2}
  • id: 115591811
    {'aut_label': '14A1', 'centralizer': '2.g1', 'counter': 56, 'group_counter': 11566, 'group_order': 1344, 'label': '14A3', 'order': 14, 'powers': [42, 57, 2], 'representative': 1168, 'size': 2}
  • id: 115591812
    {'aut_label': '14A1', 'centralizer': '2.g1', 'counter': 57, 'group_counter': 11566, 'group_order': 1344, 'label': '14A5', 'order': 14, 'powers': [44, 55, 2], 'representative': 592, 'size': 2}
  • id: 115591813
    {'aut_label': '14B1', 'centralizer': '4.c1', 'counter': 58, 'group_counter': 11566, 'group_order': 1344, 'label': '14B1', 'order': 14, 'powers': [44, 59, 3], 'representative': 96, 'size': 4}
  • id: 115591814
    {'aut_label': '14B1', 'centralizer': '4.c1', 'counter': 59, 'group_counter': 11566, 'group_order': 1344, 'label': '14B3', 'order': 14, 'powers': [43, 60, 3], 'representative': 288, 'size': 4}
  • id: 115591816
    {'aut_label': '14B1', 'centralizer': '4.c1', 'counter': 60, 'group_counter': 11566, 'group_order': 1344, 'label': '14B5', 'order': 14, 'powers': [42, 58, 3], 'representative': 480, 'size': 4}
  • id: 115591817
    {'aut_label': '14B1', 'centralizer': '4.c1', 'counter': 61, 'group_counter': 11566, 'group_order': 1344, 'label': '14C1', 'order': 14, 'powers': [44, 62, 4], 'representative': 98, 'size': 4}
  • id: 115591818
    {'aut_label': '14B1', 'centralizer': '4.c1', 'counter': 62, 'group_counter': 11566, 'group_order': 1344, 'label': '14C3', 'order': 14, 'powers': [43, 63, 4], 'representative': 290, 'size': 4}
  • id: 115591819
    {'aut_label': '14B1', 'centralizer': '4.c1', 'counter': 63, 'group_counter': 11566, 'group_order': 1344, 'label': '14C5', 'order': 14, 'powers': [42, 61, 4], 'representative': 482, 'size': 4}
  • id: 115591820
    {'aut_label': '14B1', 'centralizer': '4.c1', 'counter': 64, 'group_counter': 11566, 'group_order': 1344, 'label': '14D1', 'order': 14, 'powers': [42, 65, 5], 'representative': 202, 'size': 4}
  • id: 115591821
    {'aut_label': '14B1', 'centralizer': '4.c1', 'counter': 65, 'group_counter': 11566, 'group_order': 1344, 'label': '14D3', 'order': 14, 'powers': [44, 66, 5], 'representative': 586, 'size': 4}
  • id: 115591822
    {'aut_label': '14B1', 'centralizer': '4.c1', 'counter': 66, 'group_counter': 11566, 'group_order': 1344, 'label': '14D5', 'order': 14, 'powers': [43, 64, 5], 'representative': 970, 'size': 4}
  • id: 115591823
    {'aut_label': '14E1', 'centralizer': '6.h1', 'counter': 67, 'group_counter': 11566, 'group_order': 1344, 'label': '14E1', 'order': 14, 'powers': [42, 69, 6], 'representative': 203, 'size': 6}
  • id: 115591824
    {'aut_label': '14E1', 'centralizer': '6.h1', 'counter': 68, 'group_counter': 11566, 'group_order': 1344, 'label': '14E-1', 'order': 14, 'powers': [42, 70, 6], 'representative': 1163, 'size': 6}
  • id: 115591825
    {'aut_label': '14E1', 'centralizer': '6.h1', 'counter': 69, 'group_counter': 11566, 'group_order': 1344, 'label': '14E3', 'order': 14, 'powers': [44, 72, 6], 'representative': 139, 'size': 6}
  • id: 115591827
    {'aut_label': '14E1', 'centralizer': '6.h1', 'counter': 70, 'group_counter': 11566, 'group_order': 1344, 'label': '14E-3', 'order': 14, 'powers': [44, 71, 6], 'representative': 779, 'size': 6}
  • id: 115591828
    {'aut_label': '14E1', 'centralizer': '6.h1', 'counter': 71, 'group_counter': 11566, 'group_order': 1344, 'label': '14E5', 'order': 14, 'powers': [43, 67, 6], 'representative': 75, 'size': 6}
  • id: 115591829
    {'aut_label': '14E1', 'centralizer': '6.h1', 'counter': 72, 'group_counter': 11566, 'group_order': 1344, 'label': '14E-5', 'order': 14, 'powers': [43, 68, 6], 'representative': 395, 'size': 6}
  • id: 115591830
    {'aut_label': '14F1', 'centralizer': '12.h1', 'counter': 73, 'group_counter': 11566, 'group_order': 1344, 'label': '14F1', 'order': 14, 'powers': [42, 74, 7], 'representative': 193, 'size': 12}
  • id: 115591831
    {'aut_label': '14F1', 'centralizer': '12.h1', 'counter': 74, 'group_counter': 11566, 'group_order': 1344, 'label': '14F3', 'order': 14, 'powers': [44, 75, 7], 'representative': 129, 'size': 12}
  • id: 115591832
    {'aut_label': '14F1', 'centralizer': '12.h1', 'counter': 75, 'group_counter': 11566, 'group_order': 1344, 'label': '14F5', 'order': 14, 'powers': [43, 73, 7], 'representative': 65, 'size': 12}
  • id: 115591833
    {'aut_label': '14F1', 'centralizer': '12.h1', 'counter': 76, 'group_counter': 11566, 'group_order': 1344, 'label': '14G1', 'order': 14, 'powers': [42, 77, 8], 'representative': 41, 'size': 12}
  • id: 115591834
    {'aut_label': '14F1', 'centralizer': '12.h1', 'counter': 77, 'group_counter': 11566, 'group_order': 1344, 'label': '14G3', 'order': 14, 'powers': [44, 78, 8], 'representative': 105, 'size': 12}
  • id: 115591835
    {'aut_label': '14F1', 'centralizer': '12.h1', 'counter': 78, 'group_counter': 11566, 'group_order': 1344, 'label': '14G5', 'order': 14, 'powers': [43, 76, 8], 'representative': 169, 'size': 12}
  • id: 115591836
    {'aut_label': '14F1', 'centralizer': '12.h1', 'counter': 79, 'group_counter': 11566, 'group_order': 1344, 'label': '14H1', 'order': 14, 'powers': [42, 80, 9], 'representative': 43, 'size': 12}
  • id: 115591838
    {'aut_label': '14F1', 'centralizer': '12.h1', 'counter': 80, 'group_counter': 11566, 'group_order': 1344, 'label': '14H3', 'order': 14, 'powers': [44, 81, 9], 'representative': 107, 'size': 12}
  • id: 115591839
    {'aut_label': '14F1', 'centralizer': '12.h1', 'counter': 81, 'group_counter': 11566, 'group_order': 1344, 'label': '14H5', 'order': 14, 'powers': [43, 79, 9], 'representative': 171, 'size': 12}
  • id: 115591840
    {'aut_label': '21A1', 'centralizer': '4.q1', 'counter': 82, 'group_counter': 11566, 'group_order': 1344, 'label': '21A1', 'order': 21, 'powers': [83, 44, 18], 'representative': 64, 'size': 4}
  • id: 115591841
    {'aut_label': '21A1', 'centralizer': '4.q1', 'counter': 83, 'group_counter': 11566, 'group_order': 1344, 'label': '21A2', 'order': 21, 'powers': [84, 42, 18], 'representative': 128, 'size': 4}
  • id: 115591842
    {'aut_label': '21A1', 'centralizer': '4.q1', 'counter': 84, 'group_counter': 11566, 'group_order': 1344, 'label': '21A4', 'order': 21, 'powers': [82, 43, 18], 'representative': 256, 'size': 4}
  • id: 115591843
    {'aut_label': '28A1', 'centralizer': '2.g1', 'counter': 85, 'group_counter': 11566, 'group_order': 1344, 'label': '28A1', 'order': 28, 'powers': [55, 86, 19], 'representative': 216, 'size': 2}
  • id: 115591844
    {'aut_label': '28A1', 'centralizer': '2.g1', 'counter': 86, 'group_counter': 11566, 'group_order': 1344, 'label': '28A3', 'order': 28, 'powers': [56, 88, 19], 'representative': 584, 'size': 2}
  • id: 115591845
    {'aut_label': '28A1', 'centralizer': '2.g1', 'counter': 87, 'group_counter': 11566, 'group_order': 1344, 'label': '28A5', 'order': 28, 'powers': [57, 90, 19], 'representative': 984, 'size': 2}
  • id: 115591846
    {'aut_label': '28A1', 'centralizer': '2.g1', 'counter': 88, 'group_counter': 11566, 'group_order': 1344, 'label': '28A9', 'order': 28, 'powers': [57, 85, 19], 'representative': 408, 'size': 2}
  • id: 115591847
    {'aut_label': '28A1', 'centralizer': '2.g1', 'counter': 89, 'group_counter': 11566, 'group_order': 1344, 'label': '28A11', 'order': 28, 'powers': [56, 87, 19], 'representative': 776, 'size': 2}
  • id: 115591849
    {'aut_label': '28A1', 'centralizer': '2.g1', 'counter': 90, 'group_counter': 11566, 'group_order': 1344, 'label': '28A13', 'order': 28, 'powers': [55, 89, 19], 'representative': 1176, 'size': 2}
  • id: 115591850
    {'aut_label': '28B1', 'centralizer': '4.c1', 'counter': 91, 'group_counter': 11566, 'group_order': 1344, 'label': '28B1', 'order': 28, 'powers': [56, 92, 20], 'representative': 120, 'size': 4}
  • id: 115591851
    {'aut_label': '28B1', 'centralizer': '4.c1', 'counter': 92, 'group_counter': 11566, 'group_order': 1344, 'label': '28B3', 'order': 28, 'powers': [57, 93, 20], 'representative': 296, 'size': 4}
  • id: 115591852
    {'aut_label': '28B1', 'centralizer': '4.c1', 'counter': 93, 'group_counter': 11566, 'group_order': 1344, 'label': '28B5', 'order': 28, 'powers': [55, 91, 20], 'representative': 504, 'size': 4}
  • id: 115591853
    {'aut_label': '28B1', 'centralizer': '4.c1', 'counter': 94, 'group_counter': 11566, 'group_order': 1344, 'label': '28C1', 'order': 28, 'powers': [55, 95, 21], 'representative': 210, 'size': 4}
  • id: 115591854
    {'aut_label': '28B1', 'centralizer': '4.c1', 'counter': 95, 'group_counter': 11566, 'group_order': 1344, 'label': '28C3', 'order': 28, 'powers': [56, 96, 21], 'representative': 578, 'size': 4}
  • id: 115591855
    {'aut_label': '28B1', 'centralizer': '4.c1', 'counter': 96, 'group_counter': 11566, 'group_order': 1344, 'label': '28C5', 'order': 28, 'powers': [57, 94, 21], 'representative': 978, 'size': 4}
  • id: 115591856
    {'aut_label': '28B1', 'centralizer': '4.c1', 'counter': 97, 'group_counter': 11566, 'group_order': 1344, 'label': '28D1', 'order': 28, 'powers': [56, 98, 22], 'representative': 122, 'size': 4}
  • id: 115591857
    {'aut_label': '28B1', 'centralizer': '4.c1', 'counter': 98, 'group_counter': 11566, 'group_order': 1344, 'label': '28D3', 'order': 28, 'powers': [57, 99, 22], 'representative': 298, 'size': 4}
  • id: 115591858
    {'aut_label': '28B1', 'centralizer': '4.c1', 'counter': 99, 'group_counter': 11566, 'group_order': 1344, 'label': '28D5', 'order': 28, 'powers': [55, 97, 22], 'representative': 506, 'size': 4}
  • id: 115591720
    {'aut_label': '28E1', 'centralizer': '6.h1', 'counter': 100, 'group_counter': 11566, 'group_order': 1344, 'label': '28E1', 'order': 28, 'powers': [55, 102, 23], 'representative': 195, 'size': 6}
  • id: 115591721
    {'aut_label': '28E1', 'centralizer': '6.h1', 'counter': 101, 'group_counter': 11566, 'group_order': 1344, 'label': '28E-1', 'order': 28, 'powers': [55, 103, 24], 'representative': 211, 'size': 6}
  • id: 115591722
    {'aut_label': '28E1', 'centralizer': '6.h1', 'counter': 102, 'group_counter': 11566, 'group_order': 1344, 'label': '28E3', 'order': 28, 'powers': [56, 104, 24], 'representative': 147, 'size': 6}
  • id: 115591723
    {'aut_label': '28E1', 'centralizer': '6.h1', 'counter': 103, 'group_counter': 11566, 'group_order': 1344, 'label': '28E-3', 'order': 28, 'powers': [56, 105, 23], 'representative': 131, 'size': 6}
  • id: 115591724
    {'aut_label': '28E1', 'centralizer': '6.h1', 'counter': 104, 'group_counter': 11566, 'group_order': 1344, 'label': '28E5', 'order': 28, 'powers': [57, 101, 23], 'representative': 67, 'size': 6}
  • id: 115591725
    {'aut_label': '28E1', 'centralizer': '6.h1', 'counter': 105, 'group_counter': 11566, 'group_order': 1344, 'label': '28E-5', 'order': 28, 'powers': [57, 100, 24], 'representative': 83, 'size': 6}
  • id: 115591726
    {'aut_label': '28F1', 'centralizer': '12.h1', 'counter': 106, 'group_counter': 11566, 'group_order': 1344, 'label': '28F1', 'order': 28, 'powers': [55, 107, 25], 'representative': 33, 'size': 12}
  • id: 115591727
    {'aut_label': '28F1', 'centralizer': '12.h1', 'counter': 107, 'group_counter': 11566, 'group_order': 1344, 'label': '28F3', 'order': 28, 'powers': [56, 108, 25], 'representative': 97, 'size': 12}
  • id: 115591728
    {'aut_label': '28F1', 'centralizer': '12.h1', 'counter': 108, 'group_counter': 11566, 'group_order': 1344, 'label': '28F5', 'order': 28, 'powers': [57, 106, 25], 'representative': 161, 'size': 12}
  • id: 115591729
    {'aut_label': '28F1', 'centralizer': '12.h1', 'counter': 109, 'group_counter': 11566, 'group_order': 1344, 'label': '28G1', 'order': 28, 'powers': [55, 110, 26], 'representative': 201, 'size': 12}
  • id: 115591731
    {'aut_label': '28F1', 'centralizer': '12.h1', 'counter': 110, 'group_counter': 11566, 'group_order': 1344, 'label': '28G3', 'order': 28, 'powers': [56, 111, 26], 'representative': 137, 'size': 12}
  • id: 115591732
    {'aut_label': '28F1', 'centralizer': '12.h1', 'counter': 111, 'group_counter': 11566, 'group_order': 1344, 'label': '28G5', 'order': 28, 'powers': [57, 109, 26], 'representative': 73, 'size': 12}
  • id: 115591733
    {'aut_label': '28F1', 'centralizer': '12.h1', 'counter': 112, 'group_counter': 11566, 'group_order': 1344, 'label': '28H1', 'order': 28, 'powers': [55, 113, 27], 'representative': 35, 'size': 12}
  • id: 115591734
    {'aut_label': '28F1', 'centralizer': '12.h1', 'counter': 113, 'group_counter': 11566, 'group_order': 1344, 'label': '28H3', 'order': 28, 'powers': [56, 114, 27], 'representative': 99, 'size': 12}
  • id: 115591735
    {'aut_label': '28F1', 'centralizer': '12.h1', 'counter': 114, 'group_counter': 11566, 'group_order': 1344, 'label': '28H5', 'order': 28, 'powers': [57, 112, 27], 'representative': 163, 'size': 12}
  • id: 115591736
    {'aut_label': '42A1', 'centralizer': '4.q1', 'counter': 115, 'group_counter': 11566, 'group_order': 1344, 'label': '42A1', 'order': 42, 'powers': [84, 55, 36], 'representative': 144, 'size': 4}
  • id: 115591737
    {'aut_label': '42A1', 'centralizer': '4.q1', 'counter': 116, 'group_counter': 11566, 'group_order': 1344, 'label': '42A5', 'order': 42, 'powers': [82, 57, 36], 'representative': 656, 'size': 4}
  • id: 115591738
    {'aut_label': '42A1', 'centralizer': '4.q1', 'counter': 117, 'group_counter': 11566, 'group_order': 1344, 'label': '42A11', 'order': 42, 'powers': [83, 56, 36], 'representative': 80, 'size': 4}
  • id: 115591739
    {'aut_label': '42B1', 'centralizer': '8.f1', 'counter': 118, 'group_counter': 11566, 'group_order': 1344, 'label': '42B1', 'order': 42, 'powers': [82, 58, 37], 'representative': 32, 'size': 8}
  • id: 115591740
    {'aut_label': '42B1', 'centralizer': '8.f1', 'counter': 119, 'group_counter': 11566, 'group_order': 1344, 'label': '42B5', 'order': 42, 'powers': [83, 60, 37], 'representative': 160, 'size': 8}
  • id: 115591742
    {'aut_label': '42B1', 'centralizer': '8.f1', 'counter': 120, 'group_counter': 11566, 'group_order': 1344, 'label': '42B11', 'order': 42, 'powers': [84, 59, 37], 'representative': 800, 'size': 8}
  • id: 115591743
    {'aut_label': '42B1', 'centralizer': '8.f1', 'counter': 121, 'group_counter': 11566, 'group_order': 1344, 'label': '42C1', 'order': 42, 'powers': [82, 61, 38], 'representative': 34, 'size': 8}
  • id: 115591744
    {'aut_label': '42B1', 'centralizer': '8.f1', 'counter': 122, 'group_counter': 11566, 'group_order': 1344, 'label': '42C5', 'order': 42, 'powers': [83, 63, 38], 'representative': 162, 'size': 8}
  • id: 115591745
    {'aut_label': '42B1', 'centralizer': '8.f1', 'counter': 123, 'group_counter': 11566, 'group_order': 1344, 'label': '42C11', 'order': 42, 'powers': [84, 62, 38], 'representative': 802, 'size': 8}
  • id: 115591746
    {'aut_label': '42B1', 'centralizer': '8.f1', 'counter': 124, 'group_counter': 11566, 'group_order': 1344, 'label': '42D1', 'order': 42, 'powers': [83, 64, 39], 'representative': 74, 'size': 8}
  • id: 115591747
    {'aut_label': '42B1', 'centralizer': '8.f1', 'counter': 125, 'group_counter': 11566, 'group_order': 1344, 'label': '42D5', 'order': 42, 'powers': [84, 66, 39], 'representative': 138, 'size': 8}
  • id: 115591748
    {'aut_label': '42B1', 'centralizer': '8.f1', 'counter': 126, 'group_counter': 11566, 'group_order': 1344, 'label': '42D11', 'order': 42, 'powers': [82, 65, 39], 'representative': 266, 'size': 8}
  • id: 115591749
    {'aut_label': '84A1', 'centralizer': '4.q1', 'counter': 127, 'group_counter': 11566, 'group_order': 1344, 'label': '84A1', 'order': 84, 'powers': [115, 85, 45], 'representative': 72, 'size': 4}
  • id: 115591750
    {'aut_label': '84A1', 'centralizer': '4.q1', 'counter': 128, 'group_counter': 11566, 'group_order': 1344, 'label': '84A5', 'order': 84, 'powers': [116, 87, 45], 'representative': 328, 'size': 4}
  • id: 115591751
    {'aut_label': '84A1', 'centralizer': '4.q1', 'counter': 129, 'group_counter': 11566, 'group_order': 1344, 'label': '84A11', 'order': 84, 'powers': [117, 89, 45], 'representative': 648, 'size': 4}
  • id: 115591753
    {'aut_label': '84A1', 'centralizer': '4.q1', 'counter': 130, 'group_counter': 11566, 'group_order': 1344, 'label': '84A13', 'order': 84, 'powers': [115, 90, 45], 'representative': 88, 'size': 4}
  • id: 115591754
    {'aut_label': '84A1', 'centralizer': '4.q1', 'counter': 131, 'group_counter': 11566, 'group_order': 1344, 'label': '84A19', 'order': 84, 'powers': [116, 88, 45], 'representative': 136, 'size': 4}
  • id: 115591755
    {'aut_label': '84A1', 'centralizer': '4.q1', 'counter': 132, 'group_counter': 11566, 'group_order': 1344, 'label': '84A25', 'order': 84, 'powers': [117, 86, 45], 'representative': 264, 'size': 4}
  • id: 115591756
    {'aut_label': '84B1', 'centralizer': '8.f1', 'counter': 133, 'group_counter': 11566, 'group_order': 1344, 'label': '84B1', 'order': 84, 'powers': [117, 91, 46], 'representative': 40, 'size': 8}
  • id: 115591757
    {'aut_label': '84B1', 'centralizer': '8.f1', 'counter': 134, 'group_counter': 11566, 'group_order': 1344, 'label': '84B5', 'order': 84, 'powers': [115, 93, 46], 'representative': 168, 'size': 8}
  • id: 115591758
    {'aut_label': '84B1', 'centralizer': '8.f1', 'counter': 135, 'group_counter': 11566, 'group_order': 1344, 'label': '84B11', 'order': 84, 'powers': [116, 92, 46], 'representative': 808, 'size': 8}
  • id: 115591759
    {'aut_label': '84B1', 'centralizer': '8.f1', 'counter': 136, 'group_counter': 11566, 'group_order': 1344, 'label': '84C1', 'order': 84, 'powers': [115, 94, 47], 'representative': 66, 'size': 8}
  • id: 115591760
    {'aut_label': '84B1', 'centralizer': '8.f1', 'counter': 137, 'group_counter': 11566, 'group_order': 1344, 'label': '84C5', 'order': 84, 'powers': [116, 96, 47], 'representative': 130, 'size': 8}
  • id: 115591761
    {'aut_label': '84B1', 'centralizer': '8.f1', 'counter': 138, 'group_counter': 11566, 'group_order': 1344, 'label': '84C11', 'order': 84, 'powers': [117, 95, 47], 'representative': 258, 'size': 8}
  • id: 115591762
    {'aut_label': '84B1', 'centralizer': '8.f1', 'counter': 139, 'group_counter': 11566, 'group_order': 1344, 'label': '84D1', 'order': 84, 'powers': [117, 97, 48], 'representative': 42, 'size': 8}
  • id: 115591764
    {'aut_label': '84B1', 'centralizer': '8.f1', 'counter': 140, 'group_counter': 11566, 'group_order': 1344, 'label': '84D5', 'order': 84, 'powers': [115, 99, 48], 'representative': 170, 'size': 8}
  • id: 115591765
    {'aut_label': '84B1', 'centralizer': '8.f1', 'counter': 141, 'group_counter': 11566, 'group_order': 1344, 'label': '84D11', 'order': 84, 'powers': [116, 98, 48], 'representative': 810, 'size': 8}
• 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: 5643118
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5643129
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5643140
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5643151
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5643162
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5643173
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5643184
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5643192
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5643193
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1i', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5643119
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1j', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 5643120
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1k', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 5643121
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1l', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 5643122
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1m', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 5643123
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1n', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 5643124
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1o', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 5643125
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1p', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 5643126
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1q', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 5643127
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1r', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 5643128
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1s', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 5643130
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1t', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 5643131
    {'cdim': 1, 'counter': 21, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1u', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 5643132
    {'cdim': 1, 'counter': 22, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1v', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 5643133
    {'cdim': 1, 'counter': 23, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1w', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 5643134
    {'cdim': 1, 'counter': 24, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1x', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 5643135
    {'cdim': 1, 'counter': 25, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1y', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 5643136
    {'cdim': 1, 'counter': 26, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1z', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5643137
    {'cdim': 1, 'counter': 27, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1aa', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5643138
    {'cdim': 1, 'counter': 28, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1ab', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5643139
    {'cdim': 1, 'counter': 29, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1ac', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5643141
    {'cdim': 1, 'counter': 30, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1ad', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5643142
    {'cdim': 1, 'counter': 31, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1ae', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5643143
    {'cdim': 1, 'counter': 32, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.1af', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5643144
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2a', 'multiplicity': 1, 'nt': [3, 2], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, -1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, -1, -1, -1, -1, -1, -1, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 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, -1, -1, -1, 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, -1, -1, -1, -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: 5643145
    {'cdim': 2, 'counter': 34, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2b', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -1, -2, 2, 2, 2, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, 0, 0, -1, 1, 1, 1, 1, -1, 2, 2, 2, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 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, -1, -1, -1, -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, -1, -1, -1, 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: 5643146
    {'cdim': 2, 'counter': 35, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2c', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -1, -2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, -2, 0, 0, -1, 1, 1, 1, -1, 1, 2, 2, 2, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 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, -1, -1, -1, -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, -1, -1, -1, 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: 5643147
    {'cdim': 2, 'counter': 36, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2d', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, -1, 2, -2, 2, -2, 0, 0, 0, 0, 0, 2, 2, -2, 2, -2, 2, 0, 0, -1, -1, 1, 1, 1, 1, 2, 2, 2, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, 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, -1, -1, -1, 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, -1, -1, -1, -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: 5643148
    {'cdim': 2, 'counter': 37, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2e', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, -1, 2, -2, 2, -2, 0, 0, 0, 0, 0, -2, -2, 2, -2, 2, -2, 0, 0, -1, -1, 1, 1, -1, -1, 2, 2, 2, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 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, -1, -1, -1, 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, -1, -1, -1, -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: 5643149
    {'cdim': 2, 'counter': 38, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2f', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, -1, 2, -2, -2, 2, 0, 0, 0, 0, 0, 2, -2, 2, -2, 2, 2, 0, 0, -1, 1, 1, -1, 1, 1, 2, 2, 2, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 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, -1, -1, -1, 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, -1, -1, -1, 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: 5643150
    {'cdim': 2, 'counter': 39, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2g', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 2, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, -1, 2, -2, -2, 2, 0, 0, 0, 0, 0, -2, 2, -2, 2, -2, -2, 0, 0, -1, 1, 1, -1, -1, -1, 2, 2, 2, -1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 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, -1, -1, -1, 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, -1, -1, -1, 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: 5643152
    {'cdim': 2, 'counter': 40, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2h', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 2, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -1, -2, 2, -2, -2, 0, 0, 0, 0, 0, -2, 2, 2, -2, -2, 2, 0, 0, -1, -1, 1, -1, 1, -1, 2, 2, 2, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 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, -1, -1, -1, -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, -1, -1, -1, -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: 5643153
    {'cdim': 2, 'counter': 41, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2i', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, -2, 2, 2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -1, -2, 2, -2, -2, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, -2, 0, 0, -1, -1, 1, -1, -1, 1, 2, 2, 2, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 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, -1, -1, -1, -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, -1, -1, -1, -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: 5643154
    {'cdim': 2, 'counter': 42, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2j', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, -1, 2, 2, -2, -2, 0, 0, 0, 0, 0, -2, 2, 2, 2, 2, -2, 0, 0, -1, 1, -1, 1, 1, 1, 2, 2, 2, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 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, -1, -1, -1, 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, -1, -1, -1, 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: 5643155
    {'cdim': 2, 'counter': 43, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2k', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, -2, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, -1, 2, 2, -2, -2, 0, 0, 0, 0, 0, 2, -2, -2, -2, -2, 2, 0, 0, -1, 1, -1, 1, -1, -1, 2, 2, 2, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, 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, -1, -1, -1, 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, -1, -1, -1, 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: 5643156
    {'cdim': 2, 'counter': 44, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2l', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -1, -2, -2, -2, 2, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, -2, 0, 0, -1, -1, -1, 1, 1, -1, 2, 2, 2, 1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 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, -1, -1, -1, -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, -1, -1, -1, -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: 5643157
    {'cdim': 2, 'counter': 45, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2m', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, -2, 2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -1, -2, -2, -2, 2, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, 2, 0, 0, -1, -1, -1, 1, -1, 1, 2, 2, 2, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 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, -1, -1, -1, -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, -1, -1, -1, -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: 5643158
    {'cdim': 2, 'counter': 46, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2n', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, 0, 0, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, -1, -2, -2, 2, -2, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, -2, 0, 0, -1, 1, -1, -1, 1, -1, 2, 2, 2, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 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, -1, -1, -1, -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, -1, -1, -1, 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: 5643159
    {'cdim': 2, 'counter': 47, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2o', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, 0, 0, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, -1, -2, -2, 2, -2, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, 2, 0, 0, -1, 1, -1, -1, -1, 1, 2, 2, 2, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 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, -1, -1, -1, -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, -1, -1, -1, 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: 5643160
    {'cdim': 2, 'counter': 48, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2p', 'multiplicity': 1, 'nt': [6, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, -1, 2, 2, 2, 2, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 0, 0, -1, -1, -1, -1, 1, 1, 2, 2, 2, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 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, -1, -1, -1, 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, -1, -1, -1, -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: 5643161
    {'cdim': 2, 'counter': 49, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2q', 'multiplicity': 3, 'nt': [7, 2], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, -1, -1, -1, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5643163
    {'cdim': 2, 'counter': 50, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2r', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, -6, -6, -6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, 6, 6, 6, -6, -6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, -6, -6, 0, 0, -1, -1, -1, -6, 6, 6, 6, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5643164
    {'cdim': 2, 'counter': 51, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2s', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, -6, -6, 6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, 6, 6, 6, 6, 6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, -6, -6, 0, 0, -1, -1, -1, -6, 6, 6, 6, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5643165
    {'cdim': 2, 'counter': 52, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2t', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, -6, 6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -6, 6, -6, -6, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -6, -6, 0, 0, -1, -1, -1, 6, -6, 6, -6, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5643166
    {'cdim': 2, 'counter': 53, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2u', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, -6, 6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -6, 6, -6, 6, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -6, -6, 0, 0, -1, -1, -1, 6, -6, 6, -6, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5643167
    {'cdim': 2, 'counter': 54, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2v', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, 6, -6, -6, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -6, -6, 6, 6, 6, -6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, -6, 6, 0, 0, -1, -1, -1, 6, -6, -6, 6, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 5643168
    {'cdim': 2, 'counter': 55, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2w', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, 6, -6, 6, -6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -6, -6, 6, -6, -6, 6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, -6, 6, 0, 0, -1, -1, -1, 6, -6, -6, 6, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 5643169
    {'cdim': 2, 'counter': 56, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2x', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, 6, 6, -6, -6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, 6, -6, -6, 6, 6, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -6, 6, 0, 0, -1, -1, -1, -6, 6, -6, -6, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 5643170
    {'cdim': 2, 'counter': 57, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2y', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, -6, 6, 6, 6, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, 6, -6, -6, -6, -6, -6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, -6, 6, 0, 0, -1, -1, -1, -6, 6, -6, -6, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 5643171
    {'cdim': 2, 'counter': 58, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2z', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, -6, -6, -6, 6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, -6, -6, 6, 6, -6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, 6, -6, 0, 0, -1, -1, -1, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 5643172
    {'cdim': 2, 'counter': 59, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2aa', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, -6, -6, 6, -6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, -6, -6, -6, -6, 6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, 6, -6, 0, 0, -1, -1, -1, 6, 6, -6, -6, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 5643174
    {'cdim': 2, 'counter': 60, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2ab', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, -6, 6, -6, -6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, -6, -6, 6, 6, 6, 6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, -6, 0, 0, -1, -1, -1, -6, -6, -6, 6, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 5643175
    {'cdim': 2, 'counter': 61, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2ac', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, -6, 6, 6, 6, 6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, -6, -6, 6, -6, -6, -6, -6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, -6, 0, 0, -1, -1, -1, -6, -6, -6, 6, 0, 0, 0, 0, 0, 0, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 5643176
    {'cdim': 2, 'counter': 62, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2ad', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -6, -6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, -6, 6, -6, -6, -6, 6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, 6, 6, 0, 0, -1, -1, -1, -6, -6, 6, -6, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5643177
    {'cdim': 2, 'counter': 63, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2ae', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -6, 6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, -6, 6, -6, 6, 6, -6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, -6, 6, 6, 0, 0, -1, -1, -1, -6, -6, 6, -6, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 5643178
    {'cdim': 2, 'counter': 64, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.2af', 'multiplicity': 3, 'nt': [14, 3], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, -6, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, -1, -1, -1, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 5643179
    {'cdim': 4, 'counter': 65, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.4a', 'multiplicity': 2, 'nt': [16, 67], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5643190
    {'cdim': 8, 'counter': 75, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.8a', 'multiplicity': 1, 'nt': [48, 0], 'qdim': 8, 'qvalues': [8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
  • id: 5643180
    {'cdim': 4, 'counter': 66, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.4b', 'multiplicity': 3, 'nt': [21, 8], 'qdim': 12, 'qvalues': [12, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, -6, 0, 0, -2, -2, -2, -6, -6, -6, -6, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -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, 1, 1, 1, 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: 5643181
    {'cdim': 4, 'counter': 67, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.4c', 'multiplicity': 3, 'nt': [42, 36], 'qdim': 12, 'qvalues': [12, 12, -12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -12, 12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 6, 6, 6, 0, 0, -2, -2, -2, 6, -6, -6, -6, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 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, 1, 1, 1, -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: 5643182
    {'cdim': 4, 'counter': 68, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.4d', 'multiplicity': 3, 'nt': [42, 36], 'qdim': 12, 'qvalues': [12, 12, -12, -12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 12, -12, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 6, 6, 0, 0, -2, -2, -2, -6, 6, -6, 6, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 2, -2, -2, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -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, 1, 1, 1, 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: 5643183
    {'cdim': 4, 'counter': 69, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.4e', 'multiplicity': 3, 'nt': [42, 36], 'qdim': 12, 'qvalues': [12, 12, -12, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 12, -12, -12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 6, 6, -6, 0, 0, -2, -2, -2, -6, 6, 6, -6, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -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, 1, 1, 1, -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: 5643185
    {'cdim': 4, 'counter': 70, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.4f', 'multiplicity': 3, 'nt': [42, 36], 'qdim': 12, 'qvalues': [12, 12, -12, 12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -12, 12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, 6, -6, 0, 0, -2, -2, -2, 6, -6, 6, 6, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, 2, 2, -2, -2, 2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 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, 1, 1, 1, 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: 5643186
    {'cdim': 4, 'counter': 71, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.4g', 'multiplicity': 3, 'nt': [42, 36], 'qdim': 12, 'qvalues': [12, 12, 12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 12, 12, -12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 6, -6, 6, 0, 0, -2, -2, -2, -6, -6, 6, 6, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, -2, -2, 2, 2, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, -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, 1, 1, 1, -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: 5643187
    {'cdim': 4, 'counter': 72, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.4h', 'multiplicity': 3, 'nt': [42, 36], 'qdim': 12, 'qvalues': [12, 12, 12, -12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -12, -12, -12, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -6, -6, 6, 0, 0, -2, -2, -2, 6, 6, 6, -6, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 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, 1, 1, 1, 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: 5643188
    {'cdim': 4, 'counter': 73, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.4i', 'multiplicity': 3, 'nt': [42, 36], 'qdim': 12, 'qvalues': [12, 12, 12, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, -12, -12, 12, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 6, -6, -6, 0, 0, -2, -2, -2, 6, 6, -6, 6, 0, 0, 0, 0, 0, 0, -2, -2, -2, -2, -2, -2, 2, 2, -2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 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, 1, 1, 1, -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: 5643189
    {'cdim': 4, 'counter': 74, 'faithful': False, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.4j', 'multiplicity': 12, 'nt': [112, 0], 'qdim': 48, 'qvalues': [48, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 5643191
    {'cdim': 8, 'counter': 76, 'faithful': True, 'group': '1344.11566', 'group_order': 1344, 'image': None, 'label': '1344.11566.8b', 'multiplicity': 6, 'nt': [336, 0], 'qdim': 48, 'qvalues': [48, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, -8, -8, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 2}
• 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: 11257204
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 1344, 'label': '1344.11566.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 11257265
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 27, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1', 'kernel_order': 672, 'label': '1344.11566.1aa', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 11257266
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 28, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 672, 'label': '1344.11566.1ab', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 11257267
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 29, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 672, 'label': '1344.11566.1ac', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 11257269
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 30, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.i1', 'kernel_order': 672, 'label': '1344.11566.1ad', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 11257270
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 31, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.h1', 'kernel_order': 672, 'label': '1344.11566.1ae', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 11257271
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 32, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.g1', 'kernel_order': 672, 'label': '1344.11566.1af', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 11257257
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.j1', 'kernel_order': 672, 'label': '1344.11566.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 11257268
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.j1', 'kernel_order': 672, 'label': '1344.11566.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 11257279
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.k1', 'kernel_order': 672, 'label': '1344.11566.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 11257290
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  • id: 11257301
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 672, 'label': '1344.11566.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 11257312
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 672, 'label': '1344.11566.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 11257323
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 672, 'label': '1344.11566.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 11257334
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 9, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 672, 'label': '1344.11566.1i', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 11257205
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 10, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 672, 'label': '1344.11566.1j', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 11257216
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 11, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 672, 'label': '1344.11566.1k', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 11257227
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  • id: 11257238
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 13, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 672, 'label': '1344.11566.1m', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 11257249
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 14, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 672, 'label': '1344.11566.1n', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 11257252
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 15, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 672, 'label': '1344.11566.1o', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 11257253
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 16, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1', 'kernel_order': 672, 'label': '1344.11566.1p', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 11257254
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 17, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1', 'kernel_order': 672, 'label': '1344.11566.1q', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 11257255
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  • id: 11257256
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  • id: 11257258
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 20, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 672, 'label': '1344.11566.1t', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 11257259
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 21, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 672, 'label': '1344.11566.1u', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 11257260
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 22, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 672, 'label': '1344.11566.1v', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 11257261
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 23, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 672, 'label': '1344.11566.1w', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 11257262
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 24, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1', 'kernel_order': 672, 'label': '1344.11566.1x', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 11257263
    {'center': '1.a1', 'center_index': 1, 'center_order': 1344, 'counter': 25, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1', 'kernel_order': 672, 'label': '1344.11566.1y', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 11257264
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  • id: 11257272
    {'center': '6.a1', 'center_index': 6, 'center_order': 224, 'counter': 33, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '6.1', 'image_order': 6, 'indicator': 1, 'kernel': '6.a1', 'kernel_order': 224, 'label': '1344.11566.2a', 'nt': [3, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 11257322
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 79, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 48, 'label': '1344.11566.2aa1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]]]}
  • id: 11257324
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 80, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 48, 'label': '1344.11566.2aa2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]]]}
  • id: 11257325
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 81, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 48, 'label': '1344.11566.2aa3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 11257326
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 82, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.d1', 'kernel_order': 48, 'label': '1344.11566.2ab1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 11257327
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 83, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.d1', 'kernel_order': 48, 'label': '1344.11566.2ab2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 11257328
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 84, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.d1', 'kernel_order': 48, 'label': '1344.11566.2ab3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 11257329
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 85, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.11566.2ac1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 11257330
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  • id: 11257331
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 87, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.11566.2ac3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 11257332
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 88, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.11566.2ad1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 11257333
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 89, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.11566.2ad2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 11257335
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  • id: 11257336
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  • id: 11257337
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  • id: 11257338
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  • id: 11257339
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  • id: 11257340
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 95, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.e1', 'kernel_order': 48, 'label': '1344.11566.2af2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 11257341
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  • id: 11257273
    {'center': '6.a1', 'center_index': 6, 'center_order': 224, 'counter': 34, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.e1', 'kernel_order': 112, 'label': '1344.11566.2b', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[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]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 11257274
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  • id: 11257275
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  • id: 11257276
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  • id: 11257277
    {'center': '6.a1', 'center_index': 6, 'center_order': 224, 'counter': 38, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1', 'kernel_order': 112, 'label': '1344.11566.2f', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 11257278
    {'center': '6.a1', 'center_index': 6, 'center_order': 224, 'counter': 39, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1', 'kernel_order': 112, 'label': '1344.11566.2g', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 11257280
    {'center': '6.a1', 'center_index': 6, 'center_order': 224, 'counter': 40, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1', 'kernel_order': 112, 'label': '1344.11566.2h', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 11257281
    {'center': '6.a1', 'center_index': 6, 'center_order': 224, 'counter': 41, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.c1', 'kernel_order': 112, 'label': '1344.11566.2i', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[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]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 11257282
    {'center': '6.a1', 'center_index': 6, 'center_order': 224, 'counter': 42, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '12.4', 'image_order': 12, 'indicator': 1, 'kernel': '12.b1', 'kernel_order': 112, 'label': '1344.11566.2j', 'nt': [6, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[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]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 11257283
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  • id: 11257284
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  • id: 11257285
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  • id: 11257286
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  • id: 11257287
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  • id: 11257288
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  • id: 11257289
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  • id: 11257291
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  • id: 11257292
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  • id: 11257293
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  • id: 11257294
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  • id: 11257295
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  • id: 11257296
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 55, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.g1', 'kernel_order': 48, 'label': '1344.11566.2s1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 11257297
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 56, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.g1', 'kernel_order': 48, 'label': '1344.11566.2s2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 11257298
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 57, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.g1', 'kernel_order': 48, 'label': '1344.11566.2s3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 11257299
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 58, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 48, 'label': '1344.11566.2t1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 11257300
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 59, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 48, 'label': '1344.11566.2t2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 11257302
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 60, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 48, 'label': '1344.11566.2t3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 11257303
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 61, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 48, 'label': '1344.11566.2u1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 11257304
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 62, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 48, 'label': '1344.11566.2u2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 11257305
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 63, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 48, 'label': '1344.11566.2u3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 11257306
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 64, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 48, 'label': '1344.11566.2v1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 11257307
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 65, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 48, 'label': '1344.11566.2v2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 11257308
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 66, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 48, 'label': '1344.11566.2v3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 11257309
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 67, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 48, 'label': '1344.11566.2w1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 11257310
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 68, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 48, 'label': '1344.11566.2w2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 11257311
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 69, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.b1', 'kernel_order': 48, 'label': '1344.11566.2w3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 11257313
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 70, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.d1', 'kernel_order': 48, 'label': '1344.11566.2x1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]]]}
  • id: 11257314
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 71, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.d1', 'kernel_order': 48, 'label': '1344.11566.2x2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]]]}
  • id: 11257315
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 72, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.d1', 'kernel_order': 48, 'label': '1344.11566.2x3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 11257316
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 73, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.11566.2y1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]]]}
  • id: 11257317
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 74, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.11566.2y2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]]]}
  • id: 11257318
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 75, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.c1', 'kernel_order': 48, 'label': '1344.11566.2y3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 11257319
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 76, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 48, 'label': '1344.11566.2z1', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]]]}
  • id: 11257320
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 77, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 48, 'label': '1344.11566.2z2', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]]]}
  • id: 11257321
    {'center': '14.a1', 'center_index': 14, 'center_order': 96, 'counter': 78, 'cyclotomic_n': 7, 'dim': 2, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '28.3', 'image_order': 28, 'indicator': 1, 'kernel': '28.a1', 'kernel_order': 48, 'label': '1344.11566.2z3', 'nt': [14, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 11257342
    {'center': '16.h1', 'center_index': 16, 'center_order': 84, 'counter': 97, 'cyclotomic_n': 4, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '64.266', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1', 'kernel_order': 21, 'label': '1344.11566.4a1', 'nt': [16, 67], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1]], [[-4, 1]], [[4, 1]], [[-4, 1]], [[4, 1]], [[4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 11257343
    {'center': '16.h1', 'center_index': 16, 'center_order': 84, 'counter': 98, 'cyclotomic_n': 4, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '64.266', 'image_order': 64, 'indicator': 0, 'kernel': '64.a1', 'kernel_order': 21, 'label': '1344.11566.4a2', 'nt': [16, 2], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 1]], [[-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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, 1]], [[4, 1]], [[-4, 1]], [[4, 1]], [[-4, 1]], [[-4, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 11257344
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 99, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '84.8', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1', 'kernel_order': 16, 'label': '1344.11566.4b1', 'nt': [21, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 11257206
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 100, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '84.8', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1', 'kernel_order': 16, 'label': '1344.11566.4b2', 'nt': [21, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 11257207
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 101, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '84.8', 'image_order': 84, 'indicator': 1, 'kernel': '84.a1', 'kernel_order': 16, 'label': '1344.11566.4b3', 'nt': [21, 8], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 11257208
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 102, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.c1', 'kernel_order': 8, 'label': '1344.11566.4c1', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]]]}
  • id: 11257209
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 103, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.c1', 'kernel_order': 8, 'label': '1344.11566.4c2', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]]]}
  • id: 11257210
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 104, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.c1', 'kernel_order': 8, 'label': '1344.11566.4c3', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]]]}
  • id: 11257211
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 105, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.a1', 'kernel_order': 8, 'label': '1344.11566.4d1', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 11257212
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 106, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.a1', 'kernel_order': 8, 'label': '1344.11566.4d2', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 11257213
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 107, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.a1', 'kernel_order': 8, 'label': '1344.11566.4d3', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 11257214
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 108, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.a1', 'kernel_order': 8, 'label': '1344.11566.4e1', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]]]}
  • id: 11257215
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 109, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.a1', 'kernel_order': 8, 'label': '1344.11566.4e2', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]]]}
  • id: 11257217
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 110, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.a1', 'kernel_order': 8, 'label': '1344.11566.4e3', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 11257218
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  • id: 11257219
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  • id: 11257220
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  • id: 11257221
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  • id: 11257222
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  • id: 11257223
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  • id: 11257224
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 117, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.b1', 'kernel_order': 8, 'label': '1344.11566.4h1', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]]]}
  • id: 11257225
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 118, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.b1', 'kernel_order': 8, 'label': '1344.11566.4h2', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]]]}
  • id: 11257226
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 119, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.b1', 'kernel_order': 8, 'label': '1344.11566.4h3', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]]]}
  • id: 11257228
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 120, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.b1', 'kernel_order': 8, 'label': '1344.11566.4i1', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 2], [2, -2]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]]]}
  • id: 11257229
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 121, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.b1', 'kernel_order': 8, 'label': '1344.11566.4i2', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 2], [-1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 1], [-1, -1]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 2], [1, -2]]]}
  • id: 11257230
    {'center': '84.a1', 'center_index': 84, 'center_order': 16, 'counter': 122, 'cyclotomic_n': 7, 'dim': 4, 'faithful': False, 'field': [1, -2, -1, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '168.50', 'image_order': 168, 'indicator': 1, 'kernel': '168.b1', 'kernel_order': 8, 'label': '1344.11566.4i3', 'nt': [42, 36], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[2, 2], [2, -2]], [[2, 3], [2, -3]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 2], [2, -2]], [[2, 2], [2, -2]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 1], [-1, -1]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[-2, 1], [-2, -1]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 2], [-2, -2]], [[-2, 1], [-2, -1]], [[2, 2], [2, -2]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[-1, 2], [-1, -2]], [[-1, 3], [-1, -3]], [[-1, 3], [-1, -3]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[-1, 1], [-1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 3], [1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[-1, 3], [-1, -3]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[-1, 2], [-1, -2]], [[-1, 1], [-1, -1]], [[1, 3], [1, -3]], [[1, 2], [1, -2]], [[1, 1], [1, -1]], [[1, 1], [1, -1]]]}
  • id: 11257231
    {'center': '112.f1', 'center_index': 112, 'center_order': 12, 'counter': 123, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '448.1378', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1', 'kernel_order': 3, 'label': '1344.11566.4j1', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0], [-4, 2], [2, 4], [-2, 6], [2, 8], [-2, 10]], [[2, 4], [2, 10]], [[-2, 4], [-2, 10]], [[2, 6], [2, 8]], [[-2, 6], [-2, 8]], [[-2, 0], [4, 2], [-2, 4], [2, 6], [-2, 8], [2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 1], [2, -1]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[-2, 5], [-2, 9]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11257241
    {'center': '112.f1', 'center_index': 112, 'center_order': 12, 'counter': 132, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '448.1378', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1', 'kernel_order': 3, 'label': '1344.11566.4j10', 'nt': [112, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, 10]], [[2, 6], [2, 8]], [[-2, 6], [-2, 8]], [[2, 0], [-4, 2], [2, 4], [-2, 6], [2, 8], [-2, 10]], [[-2, 0], [4, 2], [-2, 4], [2, 6], [-2, 8], [2, 10]], [[-2, 4], [-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, 9]], [[2, 3], [2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[-2, 3], [-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11257242
    {'center': '112.f1', 'center_index': 112, 'center_order': 12, 'counter': 133, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '448.1378', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1', 'kernel_order': 3, 'label': '1344.11566.4j11', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, 10]], [[2, 6], [2, 8]], [[-2, 6], [-2, 8]], [[2, 0], [-4, 2], [2, 4], [-2, 6], [2, 8], [-2, 10]], [[-2, 0], [4, 2], [-2, 4], [2, 6], [-2, 8], [2, 10]], [[-2, 4], [-2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 5], [-2, -5]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 9]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[2, 3], [2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11257243
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  • id: 11257232
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  • id: 11257233
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  • id: 11257234
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  • id: 11257235
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  • id: 11257236
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  • id: 11257237
    {'center': '112.f1', 'center_index': 112, 'center_order': 12, 'counter': 129, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '448.1378', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1', 'kernel_order': 3, 'label': '1344.11566.4j7', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, 8]], [[2, 0], [-4, 2], [2, 4], [-2, 6], [2, 8], [-2, 10]], [[-2, 0], [4, 2], [-2, 4], [2, 6], [-2, 8], [2, 10]], [[2, 4], [2, 10]], [[-2, 4], [-2, 10]], [[-2, 6], [-2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[2, 5], [2, 9]], [[2, 3], [2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11257239
    {'center': '112.f1', 'center_index': 112, 'center_order': 12, 'counter': 130, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '448.1378', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1', 'kernel_order': 3, 'label': '1344.11566.4j8', 'nt': [112, 12], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 7]], [[-4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, 8]], [[-2, 0], [4, 2], [-2, 4], [2, 6], [-2, 8], [2, 10]], [[2, 0], [-4, 2], [2, 4], [-2, 6], [2, 8], [-2, 10]], [[-2, 4], [-2, 10]], [[2, 4], [2, 10]], [[2, 6], [2, 8]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[2, 3], [2, -3]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 5], [2, 9]], [[-2, 5], [-2, 9]], [[-2, 3], [-2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11257240
    {'center': '112.f1', 'center_index': 112, 'center_order': 12, 'counter': 131, 'cyclotomic_n': 28, 'dim': 4, 'faithful': False, 'field': [1, 0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '448.1378', 'image_order': 448, 'indicator': 0, 'kernel': '448.a1', 'kernel_order': 3, 'label': '1344.11566.4j9', 'nt': [112, 0], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 7]], [[4, 7]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[-2, 4], [-2, -4]], [[2, 2], [2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, 10]], [[-2, 6], [-2, 8]], [[2, 6], [2, 8]], [[-2, 0], [4, 2], [-2, 4], [2, 6], [-2, 8], [2, 10]], [[2, 0], [-4, 2], [2, 4], [-2, 6], [2, 8], [-2, 10]], [[2, 4], [2, 10]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 5], [2, -5]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, 9]], [[-2, 3], [-2, 11]], [[-2, 3], [2, 5], [-2, 7], [2, 9], [-2, 11]], [[2, 3], [-2, 5], [2, 7], [-2, 9], [2, 11]], [[-2, 5], [-2, 9]], [[2, 3], [2, 11]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11257244
    {'center': '96.a1', 'center_index': 96, 'center_order': 14, 'counter': 135, 'cyclotomic_n': 1, 'dim': 8, 'faithful': False, 'field': [0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '192.1527', 'image_order': 192, 'indicator': 1, 'kernel': '192.a1', 'kernel_order': 7, 'label': '1344.11566.8a', 'nt': [48, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[8, 0]], [[8, 0]], [[8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-8, 0]], [[-8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[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: 11257245
    {'center': '672.a1', 'center_index': 672, 'center_order': 2, 'counter': 136, 'cyclotomic_n': 28, 'dim': 8, 'faithful': True, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '1344.11566', 'image_order': 1344, 'indicator': 1, 'kernel': '1344.a1', 'kernel_order': 1, 'label': '1344.11566.8b1', 'nt': [336, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 2], [-4, -2]], [[4, 4], [4, -4]], [[-4, 6], [-4, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4], [-4, -4]], [[4, 2], [4, -2]], [[4, 6], [4, -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]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[-4, 5], [-4, -5]], [[4, 1], [4, -1]], [[-4, 3], [-4, -3]], [[4, 3], [4, -3]], [[-4, 1], [-4, -1]], [[4, 5], [4, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[-2, 1], [-2, -1]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11257246
    {'center': '672.a1', 'center_index': 672, 'center_order': 2, 'counter': 137, 'cyclotomic_n': 28, 'dim': 8, 'faithful': True, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '1344.11566', 'image_order': 1344, 'indicator': 1, 'kernel': '1344.a1', 'kernel_order': 1, 'label': '1344.11566.8b2', 'nt': [336, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 2], [-4, -2]], [[4, 4], [4, -4]], [[-4, 6], [-4, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 4], [-4, -4]], [[4, 2], [4, -2]], [[4, 6], [4, -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]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[4, 5], [4, -5]], [[-4, 1], [-4, -1]], [[4, 3], [4, -3]], [[-4, 3], [-4, -3]], [[4, 1], [4, -1]], [[-4, 5], [-4, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 1], [2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11257247
    {'center': '672.a1', 'center_index': 672, 'center_order': 2, 'counter': 138, 'cyclotomic_n': 28, 'dim': 8, 'faithful': True, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '1344.11566', 'image_order': 1344, 'indicator': 1, 'kernel': '1344.a1', 'kernel_order': 1, 'label': '1344.11566.8b3', 'nt': [336, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 6], [-4, -6]], [[-4, 2], [-4, -2]], [[4, 4], [4, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 2], [4, -2]], [[4, 6], [4, -6]], [[-4, 4], [-4, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[-4, 1], [-4, -1]], [[-4, 3], [-4, -3]], [[-4, 5], [-4, -5]], [[4, 5], [4, -5]], [[4, 3], [4, -3]], [[4, 1], [4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[2, 3], [2, -3]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11257248
    {'center': '672.a1', 'center_index': 672, 'center_order': 2, 'counter': 139, 'cyclotomic_n': 28, 'dim': 8, 'faithful': True, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '1344.11566', 'image_order': 1344, 'indicator': 1, 'kernel': '1344.a1', 'kernel_order': 1, 'label': '1344.11566.8b4', 'nt': [336, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 6], [-4, -6]], [[-4, 2], [-4, -2]], [[4, 4], [4, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 2], [4, -2]], [[4, 6], [4, -6]], [[-4, 4], [-4, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-2, 4], [-2, -4]], [[4, 1], [4, -1]], [[4, 3], [4, -3]], [[4, 5], [4, -5]], [[-4, 5], [-4, -5]], [[-4, 3], [-4, -3]], [[-4, 1], [-4, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[-2, 6], [-2, -6]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 5], [-2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[-2, 3], [-2, -3]], [[2, 5], [2, -5]], [[2, 1], [2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11257250
    {'center': '672.a1', 'center_index': 672, 'center_order': 2, 'counter': 140, 'cyclotomic_n': 28, 'dim': 8, 'faithful': True, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '1344.11566', 'image_order': 1344, 'indicator': 1, 'kernel': '1344.a1', 'kernel_order': 1, 'label': '1344.11566.8b5', 'nt': [336, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 4], [4, -4]], [[-4, 6], [-4, -6]], [[-4, 2], [-4, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 6], [4, -6]], [[-4, 4], [-4, -4]], [[4, 2], [4, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[-4, 3], [-4, -3]], [[4, 5], [4, -5]], [[4, 1], [4, -1]], [[-4, 1], [-4, -1]], [[-4, 5], [-4, -5]], [[4, 3], [4, -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]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[2, 5], [2, -5]], [[-2, 5], [-2, -5]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 11257251
    {'center': '672.a1', 'center_index': 672, 'center_order': 2, 'counter': 141, 'cyclotomic_n': 28, 'dim': 8, 'faithful': True, 'field': [-7, 0, 14, 0, -7, 0, 1], 'group': '1344.11566', 'group_counter': 11566, 'group_order': 1344, 'image': None, 'image_isoclass': '1344.11566', 'image_order': 1344, 'indicator': 1, 'kernel': '1344.a1', 'kernel_order': 1, 'label': '1344.11566.8b6', 'nt': [336, 0], 'q_character': None, 'values': [[[8, 0]], [[-8, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 4], [4, -4]], [[-4, 6], [-4, -6]], [[-4, 2], [-4, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[4, 6], [4, -6]], [[-4, 4], [-4, -4]], [[4, 2], [4, -2]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 4], [-2, -4]], [[2, 6], [2, -6]], [[2, 2], [2, -2]], [[4, 3], [4, -3]], [[-4, 5], [-4, -5]], [[-4, 1], [-4, -1]], [[4, 1], [4, -1]], [[4, 5], [4, -5]], [[-4, 3], [-4, -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]], [[-2, 6], [-2, -6]], [[-2, 2], [-2, -2]], [[2, 4], [2, -4]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1], [2, -1]], [[-2, 3], [-2, -3]], [[-2, 5], [-2, -5]], [[2, 5], [2, -5]], [[-2, 1], [-2, -1]], [[2, 3], [2, -3]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• 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: 71761910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 1344, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 42, 'label': '1344.11566.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['R', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1344.11566', 'subgroup_hash': 11566, 'subgroup_order': 1344, 'subgroup_tex': 'C_{84}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 71762021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 672, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.1144', 'subgroup_hash': 1144, 'subgroup_order': 672, 'subgroup_tex': 'D_{28}:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 672, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.1134', 'subgroup_hash': 1134, 'subgroup_order': 672, 'subgroup_tex': 'D_{84}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 672, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.1148', 'subgroup_hash': 1148, 'subgroup_order': 672, 'subgroup_tex': 'D_{12}:D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 672, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.1133', 'subgroup_hash': 1133, 'subgroup_order': 672, 'subgroup_tex': 'D_{12}.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 672, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.2.e1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.1156', 'subgroup_hash': 1156, 'subgroup_order': 672, 'subgroup_tex': 'D_{12}:D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 672, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.2.f1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.1153', 'subgroup_hash': 1153, 'subgroup_order': 672, 'subgroup_tex': 'D_{84}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': True, 'core_order': 672, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.2.g1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.1228', 'subgroup_hash': 1228, 'subgroup_order': 672, 'subgroup_tex': 'C_{84}.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 71762303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': True, 'core_order': 672, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.2.h1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.1215', 'subgroup_hash': 1215, 'subgroup_order': 672, 'subgroup_tex': 'C_{84}.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 71761911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': True, 'core_order': 672, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.2.i1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.1244', 'subgroup_hash': 1244, 'subgroup_order': 672, 'subgroup_tex': 'D_4:D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 71761922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 672, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.2.j1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.1158', 'subgroup_hash': 1158, 'subgroup_order': 672, 'subgroup_tex': 'C_{84}.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 71761933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 672, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.2.k1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '672.1161', 'subgroup_hash': 1161, 'subgroup_order': 672, 'subgroup_tex': 'D_{12}:D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 224, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 14, 'label': '1344.11566.3.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '448.1378', 'subgroup_hash': 1378, 'subgroup_order': 448, 'subgroup_tex': 'C_{14}.C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 71761955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.162', 'subgroup_hash': 162, 'subgroup_order': 336, 'subgroup_tex': 'D_6:D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.159', 'subgroup_hash': 159, 'subgroup_order': 336, 'subgroup_tex': 'C_{14}:D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71761977
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 336, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.185', 'subgroup_hash': 185, 'subgroup_order': 336, 'subgroup_tex': 'D_6\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71761988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 336, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.163', 'subgroup_hash': 163, 'subgroup_order': 336, 'subgroup_tex': 'D_6:D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 336, 'counter': 18, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.155', 'subgroup_hash': 155, 'subgroup_order': 336, 'subgroup_tex': 'D_6.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 336, 'counter': 19, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.187', 'subgroup_hash': 187, 'subgroup_order': 336, 'subgroup_tex': 'D_{12}:C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 20, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.152', 'subgroup_hash': 152, 'subgroup_order': 336, 'subgroup_tex': 'D_{14}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 336, 'counter': 21, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.177', 'subgroup_hash': 177, 'subgroup_order': 336, 'subgroup_tex': 'D_{28}:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 22, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.197', 'subgroup_hash': 197, 'subgroup_order': 336, 'subgroup_tex': 'D_{84}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762055
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.156', 'subgroup_hash': 156, 'subgroup_order': 336, 'subgroup_tex': 'D_{42}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.196', 'subgroup_hash': 196, 'subgroup_order': 336, 'subgroup_tex': 'C_2\\times D_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 71762077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 336, 'counter': 25, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.174', 'subgroup_hash': 174, 'subgroup_order': 336, 'subgroup_tex': 'C_{42}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 336, 'counter': 26, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.188', 'subgroup_hash': 188, 'subgroup_order': 336, 'subgroup_tex': 'C_{28}:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 336, 'counter': 27, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.189', 'subgroup_hash': 189, 'subgroup_order': 336, 'subgroup_tex': 'C_{28}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 336, 'counter': 28, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.179', 'subgroup_hash': 179, 'subgroup_order': 336, 'subgroup_tex': 'C_{12}.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 336, 'counter': 29, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.198', 'subgroup_hash': 198, 'subgroup_order': 336, 'subgroup_tex': 'D_4\\times D_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 71762133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': True, 'core_order': 336, 'counter': 30, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.207', 'subgroup_hash': 207, 'subgroup_order': 336, 'subgroup_tex': 'D_4:C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 71762144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.144', 'subgroup_hash': 144, 'subgroup_order': 336, 'subgroup_tex': 'C_{12}.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': True, 'centralizer_order': 8, 'characteristic': True, 'core_order': 336, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.138', 'subgroup_hash': 138, 'subgroup_order': 336, 'subgroup_tex': 'D_{28}:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71762166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': True, 'centralizer_order': 8, 'characteristic': False, 'core_order': 336, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.142', 'subgroup_hash': 142, 'subgroup_order': 336, 'subgroup_tex': 'D_{84}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.142', 'subgroup_hash': 142, 'subgroup_order': 336, 'subgroup_tex': 'D_{84}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': True, 'core_order': 336, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.190', 'subgroup_hash': 190, 'subgroup_order': 336, 'subgroup_tex': 'C_{28}.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762199
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.147', 'subgroup_hash': 147, 'subgroup_order': 336, 'subgroup_tex': 'C_{12}:D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.149', 'subgroup_hash': 149, 'subgroup_order': 336, 'subgroup_tex': 'S_3\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71762221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.142', 'subgroup_hash': 142, 'subgroup_order': 336, 'subgroup_tex': 'D_{84}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.142', 'subgroup_hash': 142, 'subgroup_order': 336, 'subgroup_tex': 'D_{84}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 336, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.140', 'subgroup_hash': 140, 'subgroup_order': 336, 'subgroup_tex': 'C_{12}.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 336, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.148', 'subgroup_hash': 148, 'subgroup_order': 336, 'subgroup_tex': 'D_7\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 336, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.141', 'subgroup_hash': 141, 'subgroup_order': 336, 'subgroup_tex': 'D_{12}:D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71762252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': True, 'core_order': 336, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.191', 'subgroup_hash': 191, 'subgroup_order': 336, 'subgroup_tex': 'D_{12}:C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 336, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.146', 'subgroup_hash': 146, 'subgroup_order': 336, 'subgroup_tex': 'D_{84}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 336, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.180', 'subgroup_hash': 180, 'subgroup_order': 336, 'subgroup_tex': 'C_{12}.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 336, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.143', 'subgroup_hash': 143, 'subgroup_order': 336, 'subgroup_tex': 'D_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 336, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.4.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '336.201', 'subgroup_hash': 201, 'subgroup_order': 336, 'subgroup_tex': 'D_{84}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': True, 'centralizer_order': 12, 'characteristic': True, 'core_order': 224, 'counter': 48, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '224.186', 'subgroup_hash': 186, 'subgroup_order': 224, 'subgroup_tex': 'D_4.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 112, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.177', 'subgroup_hash': 177, 'subgroup_order': 224, 'subgroup_tex': 'D_{28}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 112, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.177', 'subgroup_hash': 177, 'subgroup_order': 224, 'subgroup_tex': 'D_{28}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.185', 'subgroup_hash': 185, 'subgroup_order': 224, 'subgroup_tex': 'D_4:D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.6.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.186', 'subgroup_hash': 186, 'subgroup_order': 224, 'subgroup_tex': 'D_4.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.6.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.180', 'subgroup_hash': 180, 'subgroup_order': 224, 'subgroup_tex': 'D_4:D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.6.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, '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': '224.184', 'subgroup_hash': 184, 'subgroup_order': 224, 'subgroup_tex': 'D_4:D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 112, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.6.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.192', 'subgroup_hash': 192, 'subgroup_order': 224, 'subgroup_tex': 'C_{14}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 71762266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.6.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.185', 'subgroup_hash': 185, 'subgroup_order': 224, 'subgroup_tex': 'D_4:D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.6.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.183', 'subgroup_hash': 183, 'subgroup_order': 224, 'subgroup_tex': 'Q_8.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 112, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.6.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.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': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '224.184', 'subgroup_hash': 184, 'subgroup_order': 224, 'subgroup_tex': 'D_4:D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 96, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '1344.11566.7.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1527', 'subgroup_hash': 1527, 'subgroup_order': 192, 'subgroup_tex': 'C_{12}.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 71762271
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 168, 'counter': 60, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.55', 'subgroup_hash': 55, 'subgroup_order': 168, 'subgroup_tex': 'D_6\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 168, 'counter': 61, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.33', 'subgroup_hash': 33, 'subgroup_order': 168, 'subgroup_tex': 'D_6:C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 168, 'counter': 62, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.28', 'subgroup_hash': 28, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 168, 'counter': 63, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.38', 'subgroup_hash': 38, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762275
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 168, 'counter': 64, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.56', 'subgroup_hash': 56, 'subgroup_order': 168, 'subgroup_tex': 'C_2\\times D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 71762276
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 168, 'counter': 65, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.39', 'subgroup_hash': 39, 'subgroup_order': 168, 'subgroup_tex': 'C_2\\times C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 71762277
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 168, 'counter': 66, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.32', 'subgroup_hash': 32, 'subgroup_order': 168, 'subgroup_tex': 'C_6:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71762278
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 168, 'counter': 67, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.27', 'subgroup_hash': 27, 'subgroup_order': 168, 'subgroup_tex': 'C_{14}:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': False, 'core_order': 168, 'counter': 68, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.40', 'subgroup_hash': 40, 'subgroup_order': 168, 'subgroup_tex': 'D_4\\times C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 71762280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 168, 'counter': 69, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.15', 'subgroup_hash': 15, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 168, 'counter': 70, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.17', 'subgroup_hash': 17, 'subgroup_order': 168, 'subgroup_tex': 'C_7:D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762283
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 168, 'counter': 71, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.30', 'subgroup_hash': 30, 'subgroup_order': 168, 'subgroup_tex': 'S_3\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71762284
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 168, 'counter': 72, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.30', 'subgroup_hash': 30, 'subgroup_order': 168, 'subgroup_tex': 'S_3\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71762285
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 168, 'counter': 73, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.50', 'subgroup_hash': 50, 'subgroup_order': 168, 'subgroup_tex': 'S_3\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 168, 'counter': 74, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.17', 'subgroup_hash': 17, 'subgroup_order': 168, 'subgroup_tex': 'C_7:D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762287
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 168, 'counter': 75, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.30', 'subgroup_hash': 30, 'subgroup_order': 168, 'subgroup_tex': 'S_3\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71762288
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 168, 'counter': 76, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.30', 'subgroup_hash': 30, 'subgroup_order': 168, 'subgroup_tex': 'S_3\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71762289
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 168, 'counter': 77, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.13', 'subgroup_hash': 13, 'subgroup_order': 168, 'subgroup_tex': 'C_6.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 168, 'counter': 78, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.31', 'subgroup_hash': 31, 'subgroup_order': 168, 'subgroup_tex': 'C_7\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 168, 'counter': 79, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.16', 'subgroup_hash': 16, 'subgroup_order': 168, 'subgroup_tex': 'C_3:D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71762293
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 168, 'counter': 80, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.25', 'subgroup_hash': 25, 'subgroup_order': 168, 'subgroup_tex': 'C_{12}\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71762294
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 168, 'counter': 81, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.12', 'subgroup_hash': 12, 'subgroup_order': 168, 'subgroup_tex': 'C_6.D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': True, 'core_order': 168, 'counter': 82, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.26', 'subgroup_hash': 26, 'subgroup_order': 168, 'subgroup_tex': 'C_3\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71762296
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 168, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.35', 'subgroup_hash': 35, 'subgroup_order': 168, 'subgroup_tex': 'C_4\\times D_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 71762297
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 168, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.14', 'subgroup_hash': 14, 'subgroup_order': 168, 'subgroup_tex': 'D_{21}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762298
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 168, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.14', 'subgroup_hash': 14, 'subgroup_order': 168, 'subgroup_tex': 'D_{21}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 168, 'counter': 86, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.36', 'subgroup_hash': 36, 'subgroup_order': 168, 'subgroup_tex': 'D_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 71762300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 168, 'counter': 87, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.36', 'subgroup_hash': 36, 'subgroup_order': 168, 'subgroup_tex': 'D_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 71762301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 168, 'counter': 88, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.24', 'subgroup_hash': 24, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 168, 'counter': 89, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.34', 'subgroup_hash': 34, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 168, 'counter': 90, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.29', 'subgroup_hash': 29, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 168, 'counter': 91, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.24', 'subgroup_hash': 24, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': True, 'core_order': 168, 'counter': 92, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.41', 'subgroup_hash': 41, 'subgroup_order': 168, 'subgroup_tex': 'Q_8\\times C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 71762307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 168, 'counter': 93, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.8.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '168.18', 'subgroup_hash': 18, 'subgroup_order': 168, 'subgroup_tex': 'C_{21}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 112, 'counter': 94, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '112.30', 'subgroup_hash': 30, 'subgroup_order': 112, 'subgroup_tex': 'D_{28}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 112, 'counter': 95, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '112.27', 'subgroup_hash': 27, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 112, 'counter': 96, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '112.32', 'subgroup_hash': 32, 'subgroup_order': 112, 'subgroup_tex': 'D_4:D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71762311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': True, 'core_order': 112, 'counter': 97, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.12.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '112.40', 'subgroup_hash': 40, 'subgroup_order': 112, 'subgroup_tex': 'D_4:C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 112, 'counter': 98, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 4, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '112.33', 'subgroup_hash': 33, 'subgroup_order': 112, 'subgroup_tex': 'Q_8\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71762313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.36', 'subgroup_hash': 36, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71761912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.36', 'subgroup_hash': 36, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71761913
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 56, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.37', 'subgroup_hash': 37, 'subgroup_order': 112, 'subgroup_tex': 'C_2^2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71761914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.31', 'subgroup_hash': 31, 'subgroup_order': 112, 'subgroup_tex': 'D_4\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71761915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.32', 'subgroup_hash': 32, 'subgroup_order': 112, 'subgroup_tex': 'D_4:D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71761916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 56, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.40', 'subgroup_hash': 40, 'subgroup_order': 112, 'subgroup_tex': 'D_4:C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.30', 'subgroup_hash': 30, 'subgroup_order': 112, 'subgroup_tex': 'D_{28}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71761918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.30', 'subgroup_hash': 30, 'subgroup_order': 112, 'subgroup_tex': 'D_{28}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71761919
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.28', 'subgroup_hash': 28, 'subgroup_order': 112, 'subgroup_tex': 'C_4\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.29', 'subgroup_hash': 29, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71761921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 56, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.38', 'subgroup_hash': 38, 'subgroup_order': 112, 'subgroup_tex': 'D_4\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 56, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.40', 'subgroup_hash': 40, 'subgroup_order': 112, 'subgroup_tex': 'D_4:C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.31', 'subgroup_hash': 31, 'subgroup_order': 112, 'subgroup_tex': 'D_4\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71761925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.30', 'subgroup_hash': 30, 'subgroup_order': 112, 'subgroup_tex': 'D_{28}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71761926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 56, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.30', 'subgroup_hash': 30, 'subgroup_order': 112, 'subgroup_tex': 'D_{28}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71761927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 56, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.30', 'subgroup_hash': 30, 'subgroup_order': 112, 'subgroup_tex': 'D_{28}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71761928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.30', 'subgroup_hash': 30, 'subgroup_order': 112, 'subgroup_tex': 'D_{28}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71761929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 56, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.39', 'subgroup_hash': 39, 'subgroup_order': 112, 'subgroup_tex': 'Q_8\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761930
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.28', 'subgroup_hash': 28, 'subgroup_order': 112, 'subgroup_tex': 'C_4\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.29', 'subgroup_hash': 29, 'subgroup_order': 112, 'subgroup_tex': 'C_2\\times D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71761932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.30', 'subgroup_hash': 30, 'subgroup_order': 112, 'subgroup_tex': 'D_{28}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71761934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.30', 'subgroup_hash': 30, 'subgroup_order': 112, 'subgroup_tex': 'D_{28}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71761935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 56, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.27', 'subgroup_hash': 27, 'subgroup_order': 112, 'subgroup_tex': 'C_{14}:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71761936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.31', 'subgroup_hash': 31, 'subgroup_order': 112, 'subgroup_tex': 'D_4\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71761937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.32', 'subgroup_hash': 32, 'subgroup_order': 112, 'subgroup_tex': 'D_4:D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71761938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 56, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.40', 'subgroup_hash': 40, 'subgroup_order': 112, 'subgroup_tex': 'D_4:C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.34', 'subgroup_hash': 34, 'subgroup_order': 112, 'subgroup_tex': 'D_{28}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71761940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.33', 'subgroup_hash': 33, 'subgroup_order': 112, 'subgroup_tex': 'Q_8\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71761941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 56, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.12.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '112.34', 'subgroup_hash': 34, 'subgroup_order': 112, 'subgroup_tex': 'D_{28}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71761942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': True, 'core_order': 96, 'counter': 128, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.14.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '14.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '14.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 14, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.215', 'subgroup_hash': 215, 'subgroup_order': 96, 'subgroup_tex': 'D_4:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71761943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.14.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.215', 'subgroup_hash': 215, 'subgroup_order': 96, 'subgroup_tex': 'D_4:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71761945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.14.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.213', 'subgroup_hash': 213, 'subgroup_order': 96, 'subgroup_tex': 'Q_8:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71761946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 48, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.14.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.216', 'subgroup_hash': 216, 'subgroup_order': 96, 'subgroup_tex': 'D_4:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71761947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 48, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.14.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.214', 'subgroup_hash': 214, 'subgroup_order': 96, 'subgroup_tex': 'Q_8.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71761948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 48, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.14.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.216', 'subgroup_hash': 216, 'subgroup_order': 96, 'subgroup_tex': 'D_4:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71761949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.14.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.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': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.215', 'subgroup_hash': 215, 'subgroup_order': 96, 'subgroup_tex': 'D_4:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71761950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 6, 'characteristic': False, 'core_order': 48, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.14.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '14.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': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.225', 'subgroup_hash': 225, 'subgroup_order': 96, 'subgroup_tex': 'C_6.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 71761951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 48, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.14.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.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': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.216', 'subgroup_hash': 216, 'subgroup_order': 96, 'subgroup_tex': 'D_4:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71761952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 2, 'characteristic': False, 'core_order': 48, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.14.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.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': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.214', 'subgroup_hash': 214, 'subgroup_order': 96, 'subgroup_tex': 'Q_8.D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71761953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.14.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.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': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.213', 'subgroup_hash': 213, 'subgroup_order': 96, 'subgroup_tex': 'Q_8:D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71761954
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 84, 'counter': 139, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.15', 'subgroup_hash': 15, 'subgroup_order': 84, 'subgroup_tex': 'C_2\\times C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 71761956
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 84, 'counter': 140, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.13', 'subgroup_hash': 13, 'subgroup_order': 84, 'subgroup_tex': 'S_3\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761957
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 84, 'counter': 141, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.13', 'subgroup_hash': 13, 'subgroup_order': 84, 'subgroup_tex': 'S_3\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761958
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 84, 'counter': 142, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.12', 'subgroup_hash': 12, 'subgroup_order': 84, 'subgroup_tex': 'C_3\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761959
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 84, 'counter': 143, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.14', 'subgroup_hash': 14, 'subgroup_order': 84, 'subgroup_tex': 'D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 71761960
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 84, 'counter': 144, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.11566.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.6', 'subgroup_hash': 6, 'subgroup_order': 84, 'subgroup_tex': 'C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 71761961
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 84, 'counter': 145, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.11566.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.6', 'subgroup_hash': 6, 'subgroup_order': 84, 'subgroup_tex': 'C_{84}', 'supersolvable': True, 'sylow': 0}
  • id: 71761962
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 84, 'counter': 146, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.3', 'subgroup_hash': 3, 'subgroup_order': 84, 'subgroup_tex': 'C_3:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71761963
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 84, 'counter': 147, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.3', 'subgroup_hash': 3, 'subgroup_order': 84, 'subgroup_tex': 'C_3:C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71761964
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 84, 'counter': 148, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.16.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.4', 'subgroup_hash': 4, 'subgroup_order': 84, 'subgroup_tex': 'C_7:C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71761965
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 84, 'counter': 149, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.16.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '84.5', 'subgroup_hash': 5, 'subgroup_order': 84, 'subgroup_tex': 'C_{21}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71761967
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 21, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.16.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.13', 'subgroup_hash': 13, 'subgroup_order': 84, 'subgroup_tex': 'S_3\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761968
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 21, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.16.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.14', 'subgroup_hash': 14, 'subgroup_order': 84, 'subgroup_tex': 'D_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 71761969
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 21, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.16.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '84.8', 'subgroup_hash': 8, 'subgroup_order': 84, 'subgroup_tex': 'S_3\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71761970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1344.11566.21.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '21.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 21, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.266', 'subgroup_hash': 266, 'subgroup_order': 64, 'subgroup_tex': 'C_4.C_2^4', 'supersolvable': True, 'sylow': 2}
  • id: 71761971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 56, 'counter': 154, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.7', 'subgroup_hash': 7, 'subgroup_order': 56, 'subgroup_tex': 'C_7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71761972
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 56, 'counter': 155, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71761973
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 56, 'counter': 156, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71761974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 56, 'counter': 157, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.9', 'subgroup_hash': 9, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71761975
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 56, 'counter': 158, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.4', 'subgroup_hash': 4, 'subgroup_order': 56, 'subgroup_tex': 'C_4\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71761976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': True, 'core_order': 56, 'counter': 159, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.5', 'subgroup_hash': 5, 'subgroup_order': 56, 'subgroup_tex': 'D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71761978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': True, 'centralizer_order': 48, 'characteristic': False, 'core_order': 56, 'counter': 160, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71761979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 56, 'counter': 161, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.24.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71761980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': True, 'core_order': 56, 'counter': 162, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.24.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.14', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '56.10', 'subgroup_hash': 10, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71761981
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.13', 'subgroup_hash': 13, 'subgroup_order': 56, 'subgroup_tex': 'C_2^2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 28, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.9', 'subgroup_hash': 9, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71761983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.7', 'subgroup_hash': 7, 'subgroup_order': 56, 'subgroup_tex': 'C_7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71761984
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.12', 'subgroup_hash': 12, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761985
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71761986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 28, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.7', 'subgroup_hash': 7, 'subgroup_order': 56, 'subgroup_tex': 'C_7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71761987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 28, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.7', 'subgroup_hash': 7, 'subgroup_order': 56, 'subgroup_tex': 'C_7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71761989
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 28, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71761990
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71761991
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.12', 'subgroup_hash': 12, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71761992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.7', 'subgroup_hash': 7, 'subgroup_order': 56, 'subgroup_tex': 'C_7:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71761993
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71761994
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 28, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.8', 'subgroup_hash': 8, 'subgroup_order': 56, 'subgroup_tex': 'C_2\\times C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71761995
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.6', 'subgroup_hash': 6, 'subgroup_order': 56, 'subgroup_tex': 'C_{14}:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71761996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 28, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.9', 'subgroup_hash': 9, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71761997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.5', 'subgroup_hash': 5, 'subgroup_order': 56, 'subgroup_tex': 'D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71761998
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 28, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.4', 'subgroup_hash': 4, 'subgroup_order': 56, 'subgroup_tex': 'C_4\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71762000
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.4', 'subgroup_hash': 4, 'subgroup_order': 56, 'subgroup_tex': 'C_4\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71762001
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 28, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.4', 'subgroup_hash': 4, 'subgroup_order': 56, 'subgroup_tex': 'C_4\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71762002
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.4', 'subgroup_hash': 4, 'subgroup_order': 56, 'subgroup_tex': 'C_4\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71762003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 28, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.5', 'subgroup_hash': 5, 'subgroup_order': 56, 'subgroup_tex': 'D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71762004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.5', 'subgroup_hash': 5, 'subgroup_order': 56, 'subgroup_tex': 'D_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71762005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 28, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 28, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.10', 'subgroup_hash': 10, 'subgroup_order': 56, 'subgroup_tex': 'C_7\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 28, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.24.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '56.3', 'subgroup_hash': 3, 'subgroup_order': 56, 'subgroup_tex': 'C_7:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762008
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 48, 'counter': 188, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.28.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.35', 'subgroup_hash': 35, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 48, 'counter': 189, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.28.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': False, 'core_order': 48, 'counter': 190, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.28.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.38', 'subgroup_hash': 38, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': True, 'centralizer_order': 56, 'characteristic': False, 'core_order': 48, 'counter': 191, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.28.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.39', 'subgroup_hash': 39, 'subgroup_order': 48, 'subgroup_tex': 'D_4:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71762013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 84, 'characteristic': True, 'core_order': 48, 'counter': 192, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.28.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '28.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.47', 'subgroup_hash': 47, 'subgroup_order': 48, 'subgroup_tex': 'D_4:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 28, 'characteristic': True, 'core_order': 48, 'counter': 193, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.28.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.40', 'subgroup_hash': 40, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': True, 'centralizer_order': 56, 'characteristic': True, 'core_order': 48, 'counter': 194, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.28.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '28.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '28.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 28, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.41', 'subgroup_hash': 41, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.38', 'subgroup_hash': 38, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.36', 'subgroup_hash': 36, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.38', 'subgroup_hash': 38, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.39', 'subgroup_hash': 39, 'subgroup_order': 48, 'subgroup_tex': 'D_4:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71762023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.47', 'subgroup_hash': 47, 'subgroup_order': 48, 'subgroup_tex': 'D_4:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762025
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.35', 'subgroup_hash': 35, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.36', 'subgroup_hash': 36, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.46', 'subgroup_hash': 46, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.47', 'subgroup_hash': 47, 'subgroup_order': 48, 'subgroup_tex': 'D_4:C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.38', 'subgroup_hash': 38, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.39', 'subgroup_hash': 39, 'subgroup_order': 48, 'subgroup_tex': 'D_4:S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71762032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.41', 'subgroup_hash': 41, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.41', 'subgroup_hash': 41, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762035
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.35', 'subgroup_hash': 35, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.38', 'subgroup_hash': 38, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.41', 'subgroup_hash': 41, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 24, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.41', 'subgroup_hash': 41, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.40', 'subgroup_hash': 40, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.36', 'subgroup_hash': 36, 'subgroup_order': 48, 'subgroup_tex': 'C_2\\times D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.41', 'subgroup_hash': 41, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.37', 'subgroup_hash': 37, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 24, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '28.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.46', 'subgroup_hash': 46, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.40', 'subgroup_hash': 40, 'subgroup_order': 48, 'subgroup_tex': 'S_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 24, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.28.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.41', 'subgroup_hash': 41, 'subgroup_order': 48, 'subgroup_tex': 'D_{12}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762047
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 42, 'counter': 222, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.11566.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 51, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': ['D', 'S', 'L1', 'D1', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 71762048
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 21, 'counter': 223, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.6', 'subgroup_hash': 6, 'subgroup_order': 42, 'subgroup_tex': 'C_{42}', 'supersolvable': True, 'sylow': 0}
  • id: 71762049
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 21, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.3', 'subgroup_hash': 3, 'subgroup_order': 42, 'subgroup_tex': 'S_3\\times C_7', 'supersolvable': True, 'sylow': 0}
  • id: 71762050
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 21, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.3', 'subgroup_hash': 3, 'subgroup_order': 42, 'subgroup_tex': 'S_3\\times C_7', 'supersolvable': True, 'sylow': 0}
  • id: 71762051
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 21, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.32.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.4', 'subgroup_hash': 4, 'subgroup_order': 42, 'subgroup_tex': 'C_3\\times D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71762052
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 21, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.32.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '42.5', 'subgroup_hash': 5, 'subgroup_order': 42, 'subgroup_tex': 'D_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 71762053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.42.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.42.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.42.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.42.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.50', 'subgroup_hash': 50, 'subgroup_order': 32, 'subgroup_tex': 'C_4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 71762058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.42.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.42.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 16, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.42.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.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': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 16, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.42.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.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': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.50', 'subgroup_hash': 50, 'subgroup_order': 32, 'subgroup_tex': 'C_4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 71762062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 16, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.42.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.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': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 8, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.42.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.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': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.50', 'subgroup_hash': 50, 'subgroup_order': 32, 'subgroup_tex': 'C_4.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 71762064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.42.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '42.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': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762065
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 28, 'counter': 239, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.51', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 51, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762067
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 28, 'counter': 240, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.51', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 51, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762068
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 28, 'counter': 241, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.11566.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.51', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 51, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71762069
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 28, 'counter': 242, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.11566.48.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.51', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 51, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71762070
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 28, 'counter': 243, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.51', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 51, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762071
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 14, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.48.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762072
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 14, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.48.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762073
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 14, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.48.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762074
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 14, 'counter': 247, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.48.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71762075
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 14, 'counter': 248, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.48.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.2', 'subgroup_hash': 2, 'subgroup_order': 28, 'subgroup_tex': 'C_{28}', 'supersolvable': True, 'sylow': 0}
  • id: 71762076
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 14, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.48.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.1', 'subgroup_hash': 1, 'subgroup_order': 28, 'subgroup_tex': 'C_7:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762078
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 7, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.48.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.4', 'subgroup_hash': 4, 'subgroup_order': 28, 'subgroup_tex': 'C_2\\times C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762079
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 7, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.48.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762080
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 7, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.48.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '28.3', 'subgroup_hash': 3, 'subgroup_order': 28, 'subgroup_tex': 'D_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762081
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 24, 'counter': 253, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.56.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 24, 'counter': 254, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.56.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762083
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 24, 'counter': 255, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.56.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762084
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 24, 'counter': 256, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.56.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': False, 'core_order': 24, 'counter': 257, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.56.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762086
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 24, 'counter': 258, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.56.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71762087
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 24, 'counter': 259, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.56.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71762089
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 24, 'counter': 260, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.56.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71762090
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 24, 'counter': 261, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.56.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71762091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 24, 'counter': 262, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.56.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 24, 'counter': 263, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.56.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '56.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': True, 'core_order': 24, 'counter': 264, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.56.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '56.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '56.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 12, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 56, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762096
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762097
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762101
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.14', 'subgroup_hash': 14, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762103
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71762104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.8', 'subgroup_hash': 8, 'subgroup_order': 24, 'subgroup_tex': 'C_3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762105
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762106
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.7', 'subgroup_hash': 7, 'subgroup_order': 24, 'subgroup_tex': 'C_6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762108
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71762109
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 12, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71762111
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.5', 'subgroup_hash': 5, 'subgroup_order': 24, 'subgroup_tex': 'C_4\\times S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71762112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.6', 'subgroup_hash': 6, 'subgroup_order': 24, 'subgroup_tex': 'D_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 12, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '56.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.11', 'subgroup_hash': 11, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 12, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.56.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 56, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.4', 'subgroup_hash': 4, 'subgroup_order': 24, 'subgroup_tex': 'C_3:Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762118
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 21, 'counter': 287, 'cyclic': True, 'direct': False, 'hall': 21, 'label': '1344.11566.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.266', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 266, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4.C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C6'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '21.2', 'subgroup_hash': 2, 'subgroup_order': 21, 'subgroup_tex': 'C_{21}', 'supersolvable': True, 'sylow': 0}
  • id: 71762119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 168, 'characteristic': True, 'core_order': 16, 'counter': 288, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.84.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '84.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '84.8', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 8, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 84, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_7', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762123
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 8, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 8, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762130
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 8, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 8, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 8, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762145
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 8, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.84.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '84.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762158
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 14, 'counter': 322, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.11566.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.230', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 230, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times D_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762159
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 7, 'counter': 323, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.96.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762160
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 7, 'counter': 324, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.96.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762161
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 7, 'counter': 325, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.96.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.2', 'subgroup_hash': 2, 'subgroup_order': 14, 'subgroup_tex': 'C_{14}', 'supersolvable': True, 'sylow': 0}
  • id: 71762162
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 7, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.96.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.1', 'subgroup_hash': 1, 'subgroup_order': 14, 'subgroup_tex': 'D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71762163
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 7, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.96.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '14.1', 'subgroup_hash': 1, 'subgroup_order': 14, 'subgroup_tex': 'D_7', 'supersolvable': True, 'sylow': 0}
  • id: 71762164
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 12, 'counter': 328, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.112.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '112.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762165
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': True, 'core_order': 12, 'counter': 329, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.112.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '112.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '112.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762167
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 12, 'counter': 330, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.112.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '112.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '112.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762168
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': True, 'core_order': 12, 'counter': 331, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.11566.112.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '112.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762169
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 12, 'counter': 332, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.11566.112.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '112.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '112.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762170
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': True, 'centralizer_order': 224, 'characteristic': True, 'core_order': 12, 'counter': 333, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.112.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '112.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '112.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762171
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 12, 'counter': 334, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.112.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '112.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '112.42', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 42, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 112, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762172
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.112.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762173
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.112.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762174
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 6, 'counter': 337, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.112.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '112.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 71762175
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 6, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.112.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.1', 'subgroup_hash': 1, 'subgroup_order': 12, 'subgroup_tex': 'C_3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762176
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 56, 'characteristic': False, 'core_order': 3, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.112.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762178
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.112.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762179
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 3, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.112.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '112.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 112, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.4', 'subgroup_hash': 4, 'subgroup_order': 12, 'subgroup_tex': 'D_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762180
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 8, 'counter': 342, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.168.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '168.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': True, 'centralizer_order': 336, 'characteristic': False, 'core_order': 8, 'counter': 343, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.168.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '168.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': True, 'centralizer_order': 336, 'characteristic': True, 'core_order': 8, 'counter': 344, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.168.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '168.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '168.50', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 50, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 168, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762183
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.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': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 71762184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.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': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762187
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 71762189
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 4, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762190
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762193
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 4, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762194
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762195
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 71762196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762197
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762198
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 4, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762200
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762203
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762204
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762206
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762207
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762208
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 4, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.168.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '168.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 71762217
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 7, 'counter': 376, 'cyclic': True, 'direct': False, 'hall': 7, 'label': '1344.11566.192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1527', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1527, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{12}.C_2^4', 'simple': True, 'solvable': True, 'special_labels': ['C7'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '7.1', 'subgroup_hash': 1, 'subgroup_order': 7, 'subgroup_tex': 'C_7', 'supersolvable': True, 'sylow': 7}
  • id: 71762218
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 6, 'counter': 377, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.11566.224.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '224.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '224.196', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 196, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 224, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3\\times D_{14}', '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: 71762219
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 336, 'characteristic': False, 'core_order': 3, 'counter': 378, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.224.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '224.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': 224, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762220
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 3, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.224.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '224.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 224, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71762222
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 3, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.224.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '224.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 224, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71762223
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 3, 'counter': 381, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.224.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '224.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 224, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 71762224
    {'Agroup': True, 'Zgroup': True, 'abelian': False, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 3, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.224.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '224.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': 224, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.1', 'subgroup_hash': 1, 'subgroup_order': 6, 'subgroup_tex': 'S_3', 'supersolvable': True, 'sylow': 0}
  • id: 71762225
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': False, 'core_order': 4, 'counter': 383, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '1344.11566.336.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '336.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '336.219', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 219, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762226
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 4, 'counter': 384, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.11566.336.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '336.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '336.219', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 219, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762227
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': False, 'core_order': 4, 'counter': 385, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.11566.336.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '336.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '336.219', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 219, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 336, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6\\times D_{14}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762228
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 2, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.336.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.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': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762229
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 2, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.336.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.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': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762230
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.336.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762231
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.336.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762233
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 448, 'characteristic': False, 'core_order': 2, 'counter': 390, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.336.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762234
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 2, 'counter': 391, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.336.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762235
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 392, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.336.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762236
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 393, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.336.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 71762237
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 112, 'characteristic': False, 'core_order': 1, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.336.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762238
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.336.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762239
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1344.11566.336.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '336.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 71762240
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': True, 'core_order': 3, 'counter': 397, 'cyclic': True, 'direct': False, 'hall': 3, 'label': '1344.11566.448.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '448.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '448.1378', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1378, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 448, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{14}.C_2^5', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 71762241
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': True, 'central_factor': False, 'centralizer_order': 1344, 'characteristic': True, 'core_order': 2, 'counter': 398, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '1344.11566.672.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '672.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '672.1271', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1271, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 672, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{21}:C_2^5', 'simple': True, 'solvable': True, 'special_labels': ['Z', 'Phi', 'U1'], '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: 71762242
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 672, 'characteristic': False, 'core_order': 1, 'counter': 399, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.672.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '672.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': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762245
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 1, 'counter': 400, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.672.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '672.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762246
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 224, 'characteristic': False, 'core_order': 1, 'counter': 401, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.672.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '672.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762247
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 402, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.672.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '672.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762248
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 403, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '1344.11566.672.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '672.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': 672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 71762249
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1344.11566', 'ambient_counter': 11566, 'ambient_order': 1344, 'ambient_tex': 'C_{84}.C_2^4', 'central': True, 'central_factor': False, 'centralizer_order': 1344, 'characteristic': True, 'core_order': 1, 'counter': 404, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '1344.11566.1344.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1344.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '1344.11566', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11566, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1344, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_{84}.C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C8'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 71761989
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '24.q1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '24.15', 'aut_weyl_index': 4032, 'centralizer': '6.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1', '12.h1', '12.t1', '12.u1'], 'contains': ['48.c1', '48.f1', '48.i1', '168.m1'], 'core': '48.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [6434, -1, 2126, -1], 'generators': [3, 192, 16, 8], 'label': '1344.11566.24.q1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.q1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.q1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762061
    {'ambient': '1344.11566', 'aut_centralizer_order': 72, 'aut_label': '42.h1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '192.1472', 'aut_weyl_index': 504, 'centralizer': '112.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '14.h1', '21.a1'], 'contains': ['84.a1', '84.i1', '84.m1', '84.p1', '84.bf1'], 'core': '84.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [9565, -1, 9444, -1], 'generators': [5, 2, 8, 672], 'label': '1344.11566.42.h1', 'mobius_quo': None, 'mobius_sub': -3, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '42.h1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.h1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 71761910
    {'ambient': '1344.11566', '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': '672.a1', 'complements': ['1344.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '2.f1', '2.g1', '2.h1', '2.i1', '2.j1', '2.k1', '3.a1', '7.a1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5167, 5534, 4472, 4651], 'generators': [1, 672, 448, 4, 16, 192, 2, 8], 'label': '1344.11566.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '2.f1', '2.g1', '2.h1', '2.i1', '2.j1', '2.k1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': '672.1271', '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': '672.1271'}
  • id: 71761911
    {'ambient': '1344.11566', 'aut_centralizer_order': 2, 'aut_label': '2.i1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 2, 'centralizer': '672.a1', 'complements': ['672.d1', '672.e1', '672.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.i1', '4.k1', '4.p1', '4.q1', '4.bh1', '6.i1', '14.i1'], 'core': '2.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [5552, 6139, 4472, 5552], 'generators': [2, 448, 8, 672, 4, 192, 16], 'label': '1344.11566.2.i1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.i1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.i1', '4.k1', '4.p1', '4.q1', '4.bh1'], 'normalizer': '1.a1', 'old_label': '2.i1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.i1', 'subgroup_fusion': None, 'weyl_group': '672.1271'}
  • id: 71761912
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.b1', '6.c1', '6.f1'], 'contains': ['24.c1', '24.j1', '24.m1', '24.p1', '24.t1', '84.c1'], 'core': '24.c1', 'coset_action_label': None, 'count': 18, 'diagramx': [4212, -1, 2580, -1], 'generators': [869, 28, 16, 674, 192], 'label': '1344.11566.12.g1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.g1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.g1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761913
    {'ambient': '1344.11566', 'aut_centralizer_order': 224, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '48.52', 'aut_weyl_index': 2016, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.c1', '6.b1', '6.c1', '6.h1'], 'contains': ['24.b1', '24.j1', '24.n1', '24.q1', '24.r1', '24.u1', '24.v1', '84.d1'], 'core': '24.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [8210, -1, 3905, -1], 'generators': [1, 8, 192, 2, 16], 'label': '1344.11566.12.h1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.h1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71761914
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '336.216', 'aut_weyl_index': 288, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.d1', '6.d1', '6.f1', '6.g1'], 'contains': ['24.a1', '24.k1', '24.m1', '24.s1', '24.t1', '24.y1', '24.bc1', '84.e1'], 'core': '24.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [5196, -1, 2678, -1], 'generators': [1, 28, 16, 674, 192], 'label': '1344.11566.12.i1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.i1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.i1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71761915
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '336.216', 'aut_weyl_index': 288, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.e1', '6.e1', '6.f1', '6.g1'], 'contains': ['24.c1', '24.k1', '24.l1', '24.t1', '24.w1', '24.bc1', '24.bh1', '84.f1'], 'core': '24.c1', 'coset_action_label': None, 'count': 36, 'diagramx': [7713, -1, 3575, -1], 'generators': [1, 892, 16, 674, 192], 'label': '1344.11566.12.j1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.j1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.j1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71761916
    {'ambient': '1344.11566', 'aut_centralizer_order': 112, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '96.221', 'aut_weyl_index': 1008, 'centralizer': '24.q1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.f1', '6.d1', '6.e1', '6.h1'], 'contains': ['24.b1', '24.k1', '24.u1', '24.x1', '24.bg1', '84.g1'], 'core': '24.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [8386, -1, 5513, -1], 'generators': [241, 8, 192, 2, 16], 'label': '1344.11566.12.k1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.k1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.k1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71761917
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '336.216', 'aut_weyl_index': 288, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.g1', '6.b1', '6.g1'], 'contains': ['24.a1', '24.l1', '24.n1', '24.y1', '24.z1', '24.bb1', '24.bh1', '84.h1'], 'core': '24.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [7169, -1, 2203, -1], 'generators': [241, 444, 16, 674, 192], 'label': '1344.11566.12.l1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.l1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.l1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761918
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.i1', '6.b1', '6.e1', '6.i1'], 'contains': ['24.b1', '24.l1', '24.ba1', '24.bd1', '24.bf1', '84.j1'], 'core': '24.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [6441, -1, 3644, -1], 'generators': [6, 672, 16, 8, 192], 'label': '1344.11566.12.m1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.m1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.m1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761919
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.j1', '6.c1', '6.g1'], 'contains': ['24.c1', '24.m1', '24.n1', '24.bb1', '24.bc1', '84.k1'], 'core': '24.c1', 'coset_action_label': None, 'count': 18, 'diagramx': [7994, -1, 2781, -1], 'generators': [241, 924, 16, 674, 192], 'label': '1344.11566.12.n1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.n1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.n1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761920
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '1344.11444', 'aut_weyl_index': 72, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.k1', '6.c1', '6.d1', '6.i1'], 'contains': ['24.b1', '24.m1', '24.bd1', '24.be1', '84.l1'], 'core': '24.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [8299, -1, 4419, -1], 'generators': [2, 8, 16, 1316, 192], 'label': '1344.11566.12.o1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.o1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.o1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761921
    {'ambient': '1344.11566', 'aut_centralizer_order': 112, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '96.221', 'aut_weyl_index': 1008, 'centralizer': '24.q1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.m1', '6.f1', '6.h1'], 'contains': ['24.d1', '24.j1', '24.k1', '24.r1', '24.x1', '84.n1'], 'core': '24.d1', 'coset_action_label': None, 'count': 9, 'diagramx': [8472, -1, 5013, -1], 'generators': [1, 696, 192, 674, 16], 'label': '1344.11566.12.p1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.p1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.p1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71761922
    {'ambient': '1344.11566', 'aut_centralizer_order': 2, 'aut_label': '2.j1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '672.a1', 'complements': ['672.b1', '672.f1', '672.d1', '672.e1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.r1', '4.u1', '4.v1', '4.be1', '4.bf1', '4.bg1', '4.bh1', '6.j1', '14.j1'], 'core': '2.j1', 'coset_action_label': None, 'count': 2, 'diagramx': [6313, 5838, 4836, 4951], 'generators': [5, 448, 28, 696, 2, 192, 16], 'label': '1344.11566.2.j1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.j1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.r1', '4.u1', '4.v1', '4.be1', '4.bf1', '4.bg1', '4.bh1'], 'normalizer': '1.a1', 'old_label': '2.j1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.j1', 'subgroup_fusion': None, 'weyl_group': '672.1271'}
  • id: 71761923
    {'ambient': '1344.11566', 'aut_centralizer_order': 112, 'aut_label': '12.q1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '96.221', 'aut_weyl_index': 1008, 'centralizer': '24.q1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.n1', '6.g1', '6.h1'], 'contains': ['24.d1', '24.k1', '24.n1', '24.v1', '24.bg1', '84.o1'], 'core': '24.d1', 'coset_action_label': None, 'count': 9, 'diagramx': [8796, -1, 5334, -1], 'generators': [241, 696, 192, 674, 16], 'label': '1344.11566.12.q1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.q1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.q1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71761924
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '12.r1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.p1', '6.f1', '6.g1', '6.i1'], 'contains': ['24.d1', '24.l1', '24.m1', '24.ba1', '24.be1', '84.q1'], 'core': '24.d1', 'coset_action_label': None, 'count': 18, 'diagramx': [7458, -1, 4330, -1], 'generators': [2, 672, 16, 28, 192], 'label': '1344.11566.12.r1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.r1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.r1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71761925
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '12.s1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '336.216', 'aut_weyl_index': 288, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.r1', '6.b1', '6.f1', '6.j1'], 'contains': ['24.e1', '24.o1', '24.p1', '24.r1', '24.y1', '24.ba1', '24.bh1', '84.r1'], 'core': '24.e1', 'coset_action_label': None, 'count': 18, 'diagramx': [6592, -1, 3726, -1], 'generators': [5, 28, 16, 2, 192], 'label': '1344.11566.12.s1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.r1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.s1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.s1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761926
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '12.t1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '84.bd1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.s1', '6.b1'], 'contains': ['24.f1', '24.o1', '24.q1', '24.z1', '24.bf1', '84.s1'], 'core': '24.f1', 'coset_action_label': None, 'count': 3, 'diagramx': [4798, -1, 468, -1], 'generators': [5, 8, 16, 6, 192], 'label': '1344.11566.12.t1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.s1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.t1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.t1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71761927
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '12.u1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '84.o1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.t1', '6.b1', '6.c1'], 'contains': ['24.g1', '24.p1', '24.q1', '24.bb1', '24.bd1', '84.t1'], 'core': '24.g1', 'coset_action_label': None, 'count': 9, 'diagramx': [6684, -1, 2286, -1], 'generators': [869, 8, 16, 1318, 192], 'label': '1344.11566.12.u1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.t1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.u1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.u1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71761928
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '12.v1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.u1', '6.c1', '6.f1', '6.j1'], 'contains': ['24.h1', '24.p1', '24.r1', '24.bc1', '24.be1', '84.u1'], 'core': '24.h1', 'coset_action_label': None, 'count': 18, 'diagramx': [9293, -1, 4591, -1], 'generators': [869, 1340, 16, 2, 192], 'label': '1344.11566.12.v1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.u1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.v1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.v1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761929
    {'ambient': '1344.11566', 'aut_centralizer_order': 112, 'aut_label': '12.w1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '288.1033', 'aut_weyl_index': 336, 'centralizer': '24.q1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.v1', '6.h1', '6.j1'], 'contains': ['24.i1', '24.r1', '24.bg1', '84.v1'], 'core': '24.i1', 'coset_action_label': None, 'count': 3, 'diagramx': [9744, -1, 6056, -1], 'generators': [241, 696, 192, 2, 16], 'label': '1344.11566.12.w1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.v1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.w1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.w1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71761930
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '12.x1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '336.216', 'aut_weyl_index': 288, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.w1', '6.b1', '6.g1', '6.k1'], 'contains': ['24.e1', '24.s1', '24.v1', '24.w1', '24.z1', '24.ba1', '24.bb1', '84.w1'], 'core': '24.e1', 'coset_action_label': None, 'count': 18, 'diagramx': [6839, -1, 3485, -1], 'generators': [1, 28, 16, 2, 192], 'label': '1344.11566.12.x1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.w1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.x1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.x1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761931
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '12.y1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.x1', '6.b1', '6.d1'], 'contains': ['24.f1', '24.s1', '24.u1', '24.y1', '24.bd1', '84.x1'], 'core': '24.f1', 'coset_action_label': None, 'count': 9, 'diagramx': [3019, -1, 2474, -1], 'generators': [5, 8, 16, 1318, 192], 'label': '1344.11566.12.y1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.x1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.y1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.y1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761932
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '12.z1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.y1', '6.c1', '6.d1', '6.e1'], 'contains': ['24.g1', '24.t1', '24.u1', '24.bc1', '24.bd1', '84.y1'], 'core': '24.g1', 'coset_action_label': None, 'count': 18, 'diagramx': [7549, -1, 4053, -1], 'generators': [1, 8, 16, 870, 192], 'label': '1344.11566.12.z1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.y1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.z1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.z1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761933
    {'ambient': '1344.11566', 'aut_centralizer_order': 2, 'aut_label': '2.k1', 'aut_quo_index': 1, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 4, 'centralizer': '672.a1', 'complements': ['672.b1', '672.f1', '672.e1', '672.c1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.w1', '4.z1', '4.bb1', '4.bc1', '4.bd1', '4.bf1', '4.bh1', '6.k1', '14.k1'], 'core': '2.k1', 'coset_action_label': None, 'count': 2, 'diagramx': [5716, 6463, 4713, 5251], 'generators': [1, 448, 28, 696, 2, 192, 16], 'label': '1344.11566.2.k1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.k1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.w1', '4.z1', '4.bb1', '4.bc1', '4.bd1', '4.bf1', '4.bh1'], 'normalizer': '1.a1', 'old_label': '2.k1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.k1', 'subgroup_fusion': None, 'weyl_group': '672.1271'}
  • id: 71761934
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '12.ba1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.z1', '6.c1', '6.g1', '6.k1'], 'contains': ['24.h1', '24.t1', '24.v1', '24.bb1', '24.be1', '84.z1'], 'core': '24.h1', 'coset_action_label': None, 'count': 18, 'diagramx': [9024, -1, 4509, -1], 'generators': [1, 892, 16, 2, 192], 'label': '1344.11566.12.ba1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.z1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.ba1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.ba1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761935
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '12.bb1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.ba1', '6.b1', '6.e1'], 'contains': ['24.g1', '24.u1', '24.w1', '24.bf1', '24.bh1', '84.ba1'], 'core': '24.g1', 'coset_action_label': None, 'count': 9, 'diagramx': [7051, -1, 2892, -1], 'generators': [1, 8, 16, 6, 192], 'label': '1344.11566.12.bb1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.ba1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bb1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bb1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761936
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '12.bc1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.bb1', '6.d1', '6.f1', '6.k1'], 'contains': ['24.e1', '24.s1', '24.t1', '24.x1', '24.be1', '84.bb1'], 'core': '24.e1', 'coset_action_label': None, 'count': 18, 'diagramx': [7621, -1, 4924, -1], 'generators': [5, 1340, 16, 2, 192], 'label': '1344.11566.12.bc1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.bb1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bc1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bc1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71761937
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '12.bd1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.bc1', '6.e1', '6.f1', '6.k1'], 'contains': ['24.h1', '24.t1', '24.w1', '24.x1', '24.ba1', '84.bc1'], 'core': '24.h1', 'coset_action_label': None, 'count': 18, 'diagramx': [6381, -1, 5089, -1], 'generators': [869, 28, 16, 2, 192], 'label': '1344.11566.12.bd1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.bc1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bd1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bd1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71761938
    {'ambient': '1344.11566', 'aut_centralizer_order': 112, 'aut_label': '12.be1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '288.1033', 'aut_weyl_index': 336, 'centralizer': '24.q1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.bd1', '6.h1', '6.k1'], 'contains': ['24.i1', '24.v1', '24.x1', '84.bd1'], 'core': '24.i1', 'coset_action_label': None, 'count': 3, 'diagramx': [9658, -1, 5959, -1], 'generators': [1, 696, 192, 2, 16], 'label': '1344.11566.12.be1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.bd1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.be1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.be1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71761939
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '12.bf1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.be1', '6.d1', '6.g1', '6.j1'], 'contains': ['24.e1', '24.y1', '24.bc1', '24.be1', '24.bg1', '84.be1'], 'core': '24.e1', 'coset_action_label': None, 'count': 18, 'diagramx': [8937, -1, 5250, -1], 'generators': [241, 444, 16, 2, 192], 'label': '1344.11566.12.bf1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.be1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bf1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bf1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71761940
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '12.bg1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.bg1', '6.e1', '6.g1', '6.j1'], 'contains': ['24.h1', '24.ba1', '24.bc1', '24.bg1', '24.bh1', '84.bg1'], 'core': '24.h1', 'coset_action_label': None, 'count': 18, 'diagramx': [9096, -1, 5424, -1], 'generators': [241, 924, 16, 2, 192], 'label': '1344.11566.12.bg1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.bg1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bg1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bg1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71761941
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '12.bh1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.bh1', '6.i1', '6.j1', '6.k1'], 'contains': ['24.i1', '24.ba1', '24.be1', '84.bh1'], 'core': '24.i1', 'coset_action_label': None, 'count': 6, 'diagramx': [9564, -1, 5695, -1], 'generators': [2, 680, 16, 28, 192], 'label': '1344.11566.12.bh1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.bh1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bh1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bh1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71761942
    {'ambient': '1344.11566', 'aut_centralizer_order': 168, 'aut_label': '14.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '576.8659', 'aut_weyl_index': 168, 'centralizer': '48.c1', 'complements': ['96.f1', '96.e1'], 'conjugacy_class_count': 1, 'contained_in': ['2.g1', '7.a1'], 'contains': ['28.a1', '28.b1', '28.c1', '28.d1', '28.e1', '28.f1', '28.g1', '42.g1'], 'core': '14.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5930, 9036, 8392, 9225], 'generators': [1, 448, 16, 2, 8, 672], 'label': '1344.11566.14.a1', 'mobius_quo': 0, 'mobius_sub': 7, 'normal_closure': '14.a1', 'normal_contained_in': ['2.g1'], 'normal_contains': ['28.a1', '28.b1', '28.c1', '28.d1', '28.e1', '28.f1', '28.g1'], 'normalizer': '1.a1', 'old_label': '14.a1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '14.a1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71761943
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '14.b1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '192.1514', 'aut_weyl_index': 504, 'centralizer': '336.c1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '7.a1'], 'contains': ['28.a1', '28.h1', '28.l1', '28.m1', '28.n1', '28.t1', '28.u1', '28.v1', '28.x1', '28.y1', '28.bb1', '42.a1'], 'core': '28.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [2624, -1, 6833, -1], 'generators': [5, 448, 16, 6, 8, 672], 'label': '1344.11566.14.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.b1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.b1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71761944
    {'ambient': '1344.11566', 'aut_centralizer_order': 2, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['6.a1', '6.b1', '6.c1', '6.d1', '6.e1', '6.f1', '6.g1', '6.h1', '6.i1', '6.j1', '6.k1', '21.a1'], 'core': '6.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8432, -1, 4949, -1], 'generators': [1, 16, 4, 8, 2, 192, 672], 'label': '1344.11566.3.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '3.a1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3.a1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71761945
    {'ambient': '1344.11566', 'aut_centralizer_order': 12, 'aut_label': '14.c1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '384.20143', 'aut_weyl_index': 252, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['2.b1', '7.a1'], 'contains': ['28.a1', '28.i1', '28.o1', '28.p1', '28.q1', '28.v1', '28.w1', '28.z1', '28.ba1', '42.b1'], 'core': '28.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [3386, -1, 7317, -1], 'generators': [1, 448, 16, 2, 1316, 8], 'label': '1344.11566.14.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.c1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.c1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71761946
    {'ambient': '1344.11566', 'aut_centralizer_order': 12, 'aut_label': '14.d1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '384.19195', 'aut_weyl_index': 252, 'centralizer': '672.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['2.c1', '7.a1'], 'contains': ['28.b1', '28.j1', '28.m1', '28.p1', '28.y1', '28.z1', '28.bc1', '28.be1', '42.c1'], 'core': '28.b1', 'coset_action_label': None, 'count': 21, 'diagramx': [3480, -1, 7629, -1], 'generators': [5, 448, 16, 2, 1124, 8], 'label': '1344.11566.14.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.d1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.d1', 'subgroup_fusion': None, 'weyl_group': '96.230'}
  • id: 71761947
    {'ambient': '1344.11566', 'aut_centralizer_order': 12, 'aut_label': '14.e1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '384.19195', 'aut_weyl_index': 252, 'centralizer': '672.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['2.d1', '7.a1'], 'contains': ['28.b1', '28.k1', '28.n1', '28.q1', '28.z1', '28.bb1', '28.bd1', '28.bg1', '42.d1'], 'core': '28.b1', 'coset_action_label': None, 'count': 21, 'diagramx': [3840, -1, 7727, -1], 'generators': [1, 448, 16, 6, 8, 672], 'label': '1344.11566.14.e1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.e1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.e1', 'subgroup_fusion': None, 'weyl_group': '96.230'}
  • id: 71761948
    {'ambient': '1344.11566', 'aut_centralizer_order': 12, 'aut_label': '14.f1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '192.1514', 'aut_weyl_index': 504, 'centralizer': '672.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['2.e1', '7.a1'], 'contains': ['28.c1', '28.h1', '28.i1', '28.j1', '28.k1', '28.r1', '28.s1', '28.t1', '28.w1', '28.bc1', '28.bd1', '42.e1'], 'core': '28.c1', 'coset_action_label': None, 'count': 42, 'diagramx': [4839, -1, 7425, -1], 'generators': [5, 448, 16, 2, 28, 672], 'label': '1344.11566.14.f1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.f1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.f1', 'subgroup_fusion': None, 'weyl_group': '96.230'}
  • id: 71761949
    {'ambient': '1344.11566', 'aut_centralizer_order': 12, 'aut_label': '14.g1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '192.1514', 'aut_weyl_index': 504, 'centralizer': '336.j1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['2.f1', '7.a1'], 'contains': ['28.d1', '28.j1', '28.k1', '28.l1', '28.o1', '28.r1', '28.s1', '28.x1', '28.ba1', '28.be1', '28.bg1', '42.f1'], 'core': '28.d1', 'coset_action_label': None, 'count': 42, 'diagramx': [4148, -1, 7527, -1], 'generators': [1, 448, 16, 2, 28, 672], 'label': '1344.11566.14.g1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.g1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.g1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71761950
    {'ambient': '1344.11566', 'aut_centralizer_order': 36, 'aut_label': '14.h1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '384.20051', 'aut_weyl_index': 252, 'centralizer': '224.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.h1', '7.a1'], 'contains': ['28.e1', '28.m1', '28.q1', '28.r1', '28.bf1', '42.h1'], 'core': '28.e1', 'coset_action_label': None, 'count': 7, 'diagramx': [5327, -1, 7934, -1], 'generators': [5, 16, 448, 2, 8, 672], 'label': '1344.11566.14.h1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.h1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.h1', 'subgroup_fusion': None, 'weyl_group': '32.51'}
  • id: 71761951
    {'ambient': '1344.11566', 'aut_centralizer_order': 12, 'aut_label': '14.i1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '1152.157559', 'aut_weyl_index': 84, 'centralizer': '672.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.i1', '7.a1'], 'contains': ['28.e1', '28.n1', '28.p1', '28.s1', '28.bh1', '42.i1'], 'core': '28.e1', 'coset_action_label': None, 'count': 7, 'diagramx': [6774, -1, 7826, -1], 'generators': [2, 448, 16, 4, 8, 672], 'label': '1344.11566.14.i1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.i1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.i1', 'subgroup_fusion': None, 'weyl_group': '96.230'}
  • id: 71761952
    {'ambient': '1344.11566', 'aut_centralizer_order': 12, 'aut_label': '14.j1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '576.8659', 'aut_weyl_index': 168, 'centralizer': '672.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.j1', '7.a1'], 'contains': ['28.f1', '28.t1', '28.w1', '28.be1', '28.bf1', '28.bg1', '28.bh1', '42.j1'], 'core': '28.f1', 'coset_action_label': None, 'count': 14, 'diagramx': [6306, -1, 8270, -1], 'generators': [5, 448, 16, 2, 28, 680], 'label': '1344.11566.14.j1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.j1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.j1', 'subgroup_fusion': None, 'weyl_group': '96.230'}
  • id: 71761953
    {'ambient': '1344.11566', 'aut_centralizer_order': 12, 'aut_label': '14.k1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '576.8659', 'aut_weyl_index': 168, 'centralizer': '336.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.k1', '7.a1'], 'contains': ['28.g1', '28.x1', '28.ba1', '28.bc1', '28.bd1', '28.bf1', '28.bh1', '42.k1'], 'core': '28.g1', 'coset_action_label': None, 'count': 14, 'diagramx': [6025, -1, 8095, -1], 'generators': [1, 448, 16, 2, 28, 680], 'label': '1344.11566.14.k1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '14.k1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14.k1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71761954
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '16.a1', 'aut_quo_index': 5040, 'aut_stab_index': 3, 'aut_weyl_group': '24.15', 'aut_weyl_index': 4032, 'centralizer': '8.f1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1', '8.f1', '8.g1', '8.h1', '8.i1'], 'contains': ['32.a1', '32.b1', '48.a1', '112.a1'], 'core': '16.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1260, 5607, 2382, 5764], 'generators': [10, 448, 192, 16], 'label': '1344.11566.16.a1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.c1', '8.d1', '8.e1', '8.f1', '8.g1', '8.h1', '8.i1'], 'normal_contains': ['32.a1', '48.a1', '112.a1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': '672.1271', 'quotient_action_image': '8.5', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71761955
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '4.a1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '336.c1', 'complements': ['336.m1', '336.n1'], 'conjugacy_class_count': 6, 'contained_in': ['2.a1', '2.e1'], 'contains': ['8.a1', '8.c1', '8.d1', '8.j1', '8.k1', '8.n1', '8.r1', '12.f1', '28.h1'], 'core': '4.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1307, 880, 971, 753], 'generators': [5, 192, 1340, 16, 674, 448], 'label': '1344.11566.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.e1'], 'normal_contains': ['8.a1', '8.c1', '8.d1', '8.j1', '8.k1', '8.n1', '8.r1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71761956
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '16.b1', 'aut_quo_index': 1680, 'aut_stab_index': 1, 'aut_weyl_group': '72.48', 'aut_weyl_index': 1344, 'centralizer': '12.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.j1', '8.k1', '8.l1', '8.m1'], 'contains': ['32.a1', '32.c1', '48.f1', '112.b1'], 'core': '16.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [807, 4354, 1577, 4928], 'generators': [11, 192, 448, 16], 'label': '1344.11566.16.b1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.j1', '8.k1', '8.l1', '8.m1'], 'normal_contains': ['32.a1', '112.b1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71761957
    {'ambient': '1344.11566', 'aut_centralizer_order': 448, 'aut_label': '16.c1', 'aut_quo_index': 5040, 'aut_stab_index': 3, 'aut_weyl_group': '72.48', 'aut_weyl_index': 1344, 'centralizer': '24.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '8.b1', '8.n1', '8.o1', '8.p1', '8.q1', '8.r1', '8.s1'], 'contains': ['32.a1', '32.d1', '48.g1', '112.c1'], 'core': '16.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [1176, 5044, 2576, 5402], 'generators': [1, 192, 448, 16], 'label': '1344.11566.16.c1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.c1', 'normal_contained_in': ['8.a1', '8.b1', '8.n1', '8.o1', '8.p1', '8.q1', '8.r1', '8.s1'], 'normal_contains': ['32.a1', '112.c1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762062
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '42.i1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '192.1472', 'aut_weyl_index': 504, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.i1', '14.i1', '21.a1'], 'contains': ['84.a1', '84.j1', '84.l1', '84.q1', '84.bh1'], 'core': '84.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [8221, -1, 9377, -1], 'generators': [2, 4, 8, 672], 'label': '1344.11566.42.i1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '42.i1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.i1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 71761958
    {'ambient': '1344.11566', 'aut_centralizer_order': 288, 'aut_label': '16.d1', 'aut_quo_index': 3360, 'aut_stab_index': 2, 'aut_weyl_group': '168.47', 'aut_weyl_index': 576, 'centralizer': '56.l1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.c1', '8.j1', '8.n1', '8.t1', '8.u1', '8.v1', '8.w1'], 'contains': ['32.a1', '32.e1', '48.b1', '112.h1'], 'core': '16.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [710, 2583, 1666, 1825], 'generators': [5, 448, 192, 16], 'label': '1344.11566.16.d1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.d1', 'normal_contained_in': ['8.c1', '8.j1', '8.n1', '8.t1', '8.u1', '8.v1', '8.w1'], 'normal_contains': ['32.a1', '48.b1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761959
    {'ambient': '1344.11566', 'aut_centralizer_order': 32, 'aut_label': '16.e1', 'aut_quo_index': 10080, 'aut_stab_index': 6, 'aut_weyl_group': '504.162', 'aut_weyl_index': 192, 'centralizer': '168.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.d1', '8.e1', '8.k1', '8.n1', '8.o1', '8.t1', '8.x1', '8.y1', '8.z1', '8.ba1', '8.bb1'], 'contains': ['32.a1', '32.f1', '48.h1', '112.i1'], 'core': '16.e1', 'coset_action_label': None, 'count': 6, 'diagramx': [1110, 3331, 2307, 2775], 'generators': [28, 448, 192, 16], 'label': '1344.11566.16.e1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.e1', 'normal_contained_in': ['8.d1', '8.e1', '8.k1', '8.n1', '8.o1', '8.t1', '8.x1', '8.y1', '8.z1', '8.ba1', '8.bb1'], 'normal_contains': ['32.a1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 71761960
    {'ambient': '1344.11566', 'aut_centralizer_order': 4032, 'aut_label': '16.f1', 'aut_quo_index': 3360, 'aut_stab_index': 1, 'aut_weyl_group': '24.15', 'aut_weyl_index': 4032, 'centralizer': '4.q1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.f1', '8.l1', '8.p1', '8.w1', '8.ba1', '8.bc1', '8.bd1'], 'contains': ['32.a1', '48.c1', '112.d1'], 'core': '16.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [1851, 4816, 1901, 3996], 'generators': [8, 192, 16, 448], 'label': '1344.11566.16.f1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.f1', 'normal_contained_in': ['8.f1', '8.l1', '8.p1', '8.w1', '8.ba1', '8.bc1', '8.bd1'], 'normal_contains': ['32.a1', '48.c1', '112.d1'], 'normalizer': '1.a1', 'old_label': '16.f1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '4.2', 'quotient_action_kernel_order': 4, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71761961
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '16.g1', 'aut_quo_index': 10080, 'aut_stab_index': 3, 'aut_weyl_group': '24.15', 'aut_weyl_index': 4032, 'centralizer': '8.f1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.f1', '8.i1', '8.m1', '8.q1', '8.s1', '8.u1', '8.x1', '8.bb1', '8.be1', '8.bf1', '8.bg1'], 'contains': ['32.a1', '48.d1', '112.e1'], 'core': '16.g1', 'coset_action_label': None, 'count': 3, 'diagramx': [5543, 7535, 4090, 6248], 'generators': [680, 192, 16, 448], 'label': '1344.11566.16.g1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.g1', 'normal_contained_in': ['8.f1', '8.i1', '8.m1', '8.q1', '8.s1', '8.u1', '8.x1', '8.bb1', '8.be1', '8.bf1', '8.bg1'], 'normal_contains': ['32.a1', '48.d1', '112.e1'], 'normalizer': '1.a1', 'old_label': '16.g1', 'projective_image': '672.1271', 'quotient_action_image': '8.5', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71761962
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '16.h1', 'aut_quo_index': 1680, 'aut_stab_index': 1, 'aut_weyl_group': '72.48', 'aut_weyl_index': 1344, 'centralizer': '12.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.g1', '8.l1', '8.q1', '8.v1', '8.y1'], 'contains': ['32.a1', '48.i1', '112.f1'], 'core': '16.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [2058, 5312, 1826, 4691], 'generators': [3, 16, 448, 192], 'label': '1344.11566.16.h1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.h1', 'normal_contained_in': ['8.g1', '8.l1', '8.q1', '8.v1', '8.y1'], 'normal_contains': ['32.a1', '112.f1'], 'normalizer': '1.a1', 'old_label': '16.h1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71761963
    {'ambient': '1344.11566', 'aut_centralizer_order': 448, 'aut_label': '16.i1', 'aut_quo_index': 5040, 'aut_stab_index': 3, 'aut_weyl_group': '72.48', 'aut_weyl_index': 1344, 'centralizer': '24.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.b1', '8.g1', '8.m1', '8.p1', '8.t1', '8.z1', '8.be1', '8.bh1'], 'contains': ['32.a1', '48.j1', '112.g1'], 'core': '16.i1', 'coset_action_label': None, 'count': 3, 'diagramx': [4396, 6014, 2673, 5165], 'generators': [9, 16, 448, 192], 'label': '1344.11566.16.i1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.i1', 'normal_contained_in': ['8.b1', '8.g1', '8.m1', '8.p1', '8.t1', '8.z1', '8.be1', '8.bh1'], 'normal_contains': ['32.a1', '112.g1'], 'normalizer': '1.a1', 'old_label': '16.i1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71761964
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '16.j1', 'aut_quo_index': 10080, 'aut_stab_index': 6, 'aut_weyl_group': '168.47', 'aut_weyl_index': 576, 'centralizer': '56.e1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.c1', '8.h1', '8.k1', '8.o1', '8.r1', '8.u1', '8.y1', '8.z1', '8.bc1', '8.bf1', '8.bh1'], 'contains': ['32.a1', '48.e1', '112.j1'], 'core': '16.j1', 'coset_action_label': None, 'count': 6, 'diagramx': [3031, 4078, 2479, 3186], 'generators': [7, 16, 192, 448], 'label': '1344.11566.16.j1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.j1', 'normal_contained_in': ['8.c1', '8.h1', '8.k1', '8.o1', '8.r1', '8.u1', '8.y1', '8.z1', '8.bc1', '8.bf1', '8.bh1'], 'normal_contains': ['32.a1', '48.e1'], 'normalizer': '1.a1', 'old_label': '16.j1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761965
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '16.k1', 'aut_quo_index': 3360, 'aut_stab_index': 2, 'aut_weyl_group': '504.162', 'aut_weyl_index': 192, 'centralizer': '168.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '8.j1', '8.r1', '8.v1', '8.x1', '8.bd1', '8.bh1'], 'contains': ['32.a1', '48.k1', '112.k1'], 'core': '16.k1', 'coset_action_label': None, 'count': 2, 'diagramx': [1528, 928, 1741, 840], 'generators': [30, 448, 192, 16], 'label': '1344.11566.16.k1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.k1', 'normal_contained_in': ['8.d1', '8.j1', '8.r1', '8.v1', '8.x1', '8.bd1', '8.bh1'], 'normal_contains': ['32.a1'], 'normalizer': '1.a1', 'old_label': '16.k1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 71761966
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '4.b1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': '3072.bjq', 'aut_weyl_index': 24, 'centralizer': '336.a1', 'complements': ['336.m1', '336.n1'], 'conjugacy_class_count': 6, 'contained_in': ['2.b1', '2.e1'], 'contains': ['8.a1', '8.e1', '8.h1', '8.k1', '8.o1', '12.g1', '28.i1'], 'core': '4.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [1923, 4110, 1861, 3976], 'generators': [885, 192, 28, 16, 674, 448], 'label': '1344.11566.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.b1', '2.e1'], 'normal_contains': ['8.a1', '8.e1', '8.h1', '8.k1', '8.o1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71761967
    {'ambient': '1344.11566', 'aut_centralizer_order': 224, 'aut_label': '16.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '36.12', 'aut_weyl_index': 2688, 'centralizer': '24.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.a1'], 'contains': ['32.b1', '32.c1', '32.d1', '48.l1', '112.l1'], 'core': '64.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [162, -1, 1429, -1], 'generators': [1, 192, 448, 10], 'label': '1344.11566.16.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1', 'old_label': '16.l1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.l1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71761968
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '16.m1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '504.162', 'aut_weyl_index': 192, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.e1'], 'contains': ['32.b1', '32.f1', '48.m1', '112.m1'], 'core': '64.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [270, -1, 1503, -1], 'generators': [674, 448, 192, 28], 'label': '1344.11566.16.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.j1', 'old_label': '16.m1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.m1', 'subgroup_fusion': None, 'weyl_group': '84.8'}
  • id: 71761969
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '16.n1', 'aut_quo_index': None, 'aut_stab_index': 24, 'aut_weyl_group': '252.26', 'aut_weyl_index': 384, 'centralizer': '336.c1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.n1'], 'contains': ['32.d1', '32.e1', '32.f1', '48.n1', '112.n1'], 'core': '64.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [63, -1, 1341, -1], 'generators': [1, 448, 192, 28], 'label': '1344.11566.16.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.w1', 'old_label': '16.n1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.n1', 'subgroup_fusion': None, 'weyl_group': '84.8'}
  • id: 71761970
    {'ambient': '1344.11566', 'aut_centralizer_order': 12, 'aut_label': '21.a1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '384.20051', 'aut_weyl_index': 252, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1', '7.a1'], 'contains': ['42.a1', '42.b1', '42.c1', '42.d1', '42.e1', '42.f1', '42.g1', '42.h1', '42.i1', '42.j1', '42.k1'], 'core': '84.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [9549, -1, 9244, -1], 'generators': [1, 2, 4, 672, 8], 'label': '1344.11566.21.a1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '21.a1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21.a1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 71761971
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '24.a1', 'aut_quo_index': 12, 'aut_stab_index': 6, 'aut_weyl_group': '168.47', 'aut_weyl_index': 576, 'centralizer': '56.i1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.c1', '12.a1', '12.c1', '12.f1', '12.i1', '12.l1'], 'contains': ['48.a1', '48.b1', '48.e1', '168.f1'], 'core': '24.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7085, 6517, 3100, 5967], 'generators': [5, 16, 192, 10], 'label': '1344.11566.24.a1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.a1', 'normal_contained_in': ['8.c1', '12.a1', '12.c1'], 'normal_contains': ['48.a1', '48.b1', '48.e1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761972
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '24.b1', 'aut_quo_index': 24, 'aut_stab_index': 3, 'aut_weyl_group': '24.15', 'aut_weyl_index': 4032, 'centralizer': '4.c1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.f1', '12.a1', '12.b1', '12.d1', '12.h1', '12.k1', '12.m1', '12.o1'], 'contains': ['48.a1', '48.c1', '48.d1', '168.a1'], 'core': '24.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8113, 9320, 4407, 7000], 'generators': [2, 192, 16, 8], 'label': '1344.11566.24.b1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.b1', 'normal_contained_in': ['8.f1', '12.a1', '12.b1', '12.d1'], 'normal_contains': ['48.a1', '48.c1', '48.d1', '168.a1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '6.1', 'quotient_action_kernel_order': 6, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71761973
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '24.c1', 'aut_quo_index': 12, 'aut_stab_index': 6, 'aut_weyl_group': '336.125', 'aut_weyl_index': 288, 'centralizer': '56.d1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.h1', '12.b1', '12.c1', '12.g1', '12.j1', '12.n1'], 'contains': ['48.a1', '48.e1', '168.j1'], 'core': '24.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [7798, 6966, 3659, 6629], 'generators': [869, 16, 192, 10], 'label': '1344.11566.24.c1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.c1', 'normal_contained_in': ['8.h1', '12.b1', '12.c1'], 'normal_contains': ['48.a1', '48.e1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': '672.1271', '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': '56.12'}
  • id: 71761974
    {'ambient': '1344.11566', 'aut_centralizer_order': 672, 'aut_label': '24.d1', 'aut_quo_index': 12, 'aut_stab_index': 3, 'aut_weyl_group': '48.45', 'aut_weyl_index': 2016, 'centralizer': '8.l1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.i1', '12.c1', '12.d1', '12.p1', '12.q1', '12.r1'], 'contains': ['48.a1', '48.d1', '168.b1'], 'core': '24.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [8821, 7578, 4740, 7215], 'generators': [674, 192, 16, 696], 'label': '1344.11566.24.d1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.d1', 'normal_contained_in': ['8.i1', '12.c1', '12.d1'], 'normal_contains': ['48.a1', '48.d1', '168.b1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': '672.1271', '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': '8.5'}
  • id: 71761975
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '24.e1', 'aut_quo_index': 24, 'aut_stab_index': 6, 'aut_weyl_group': '168.47', 'aut_weyl_index': 576, 'centralizer': '56.i1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.u1', '12.a1', '12.c1', '12.e1', '12.s1', '12.x1', '12.bc1', '12.bf1'], 'contains': ['48.b1', '48.d1', '48.e1', '168.v1'], 'core': '24.e1', 'coset_action_label': None, 'count': 6, 'diagramx': [8322, 7243, 4318, 6411], 'generators': [5, 16, 192, 696], 'label': '1344.11566.24.e1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.e1', 'normal_contained_in': ['8.u1', '12.a1', '12.c1', '12.e1'], 'normal_contains': ['48.b1', '48.d1', '48.e1'], 'normalizer': '1.a1', 'old_label': '24.e1', 'projective_image': '672.1271', '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': '56.12'}
  • id: 71761976
    {'ambient': '1344.11566', 'aut_centralizer_order': 288, 'aut_label': '24.f1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '336.125', 'aut_weyl_index': 288, 'centralizer': '28.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.w1', '12.a1', '12.t1', '12.y1'], 'contains': ['48.b1', '48.c1', '168.x1'], 'core': '24.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [2933, 6725, 2200, 5583], 'generators': [5, 16, 192, 8], 'label': '1344.11566.24.f1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.f1', 'normal_contained_in': ['8.w1', '12.a1'], 'normal_contains': ['48.b1', '48.c1'], 'normalizer': '1.a1', 'old_label': '24.f1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.f1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71761977
    {'ambient': '1344.11566', 'aut_centralizer_order': 112, 'aut_label': '4.c1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '288.1043', 'aut_weyl_index': 336, 'centralizer': '24.b1', 'complements': ['336.m1', '336.n1'], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '2.b1', '2.g1'], 'contains': ['8.a1', '8.f1', '8.g1', '8.l1', '8.m1', '8.p1', '8.q1', '12.h1', '28.a1'], 'core': '4.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [3080, 7592, 2797, 6475], 'generators': [1, 448, 8, 192, 2, 16], 'label': '1344.11566.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1', '2.b1', '2.g1'], 'normal_contains': ['8.a1', '8.f1', '8.g1', '8.l1', '8.m1', '8.p1', '8.q1', '28.a1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71761978
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '24.g1', 'aut_quo_index': 12, 'aut_stab_index': 3, 'aut_weyl_group': '336.125', 'aut_weyl_index': 288, 'centralizer': '28.d1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.bc1', '12.a1', '12.b1', '12.u1', '12.z1', '12.bb1'], 'contains': ['48.c1', '48.e1', '168.bd1'], 'core': '24.g1', 'coset_action_label': None, 'count': 3, 'diagramx': [7405, 7410, 3790, 6119], 'generators': [7, 16, 192, 8], 'label': '1344.11566.24.g1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.g1', 'normal_contained_in': ['8.bc1', '12.a1', '12.b1'], 'normal_contains': ['48.c1', '48.e1'], 'normalizer': '1.a1', 'old_label': '24.g1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71761979
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '24.h1', 'aut_quo_index': 24, 'aut_stab_index': 6, 'aut_weyl_group': '336.125', 'aut_weyl_index': 288, 'centralizer': '56.d1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.bf1', '12.b1', '12.c1', '12.e1', '12.v1', '12.ba1', '12.bd1', '12.bg1'], 'contains': ['48.d1', '48.e1', '168.bg1'], 'core': '24.h1', 'coset_action_label': None, 'count': 6, 'diagramx': [8998, 7745, 4808, 6816], 'generators': [7, 16, 192, 696], 'label': '1344.11566.24.h1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.h1', 'normal_contained_in': ['8.bf1', '12.b1', '12.c1', '12.e1'], 'normal_contains': ['48.d1', '48.e1'], 'normalizer': '1.a1', 'old_label': '24.h1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.h1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761980
    {'ambient': '1344.11566', 'aut_centralizer_order': 672, 'aut_label': '24.i1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '144.188', 'aut_weyl_index': 672, 'centralizer': '8.l1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.bg1', '12.d1', '12.e1', '12.w1', '12.be1', '12.bh1'], 'contains': ['48.d1', '168.c1'], 'core': '24.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [9986, 9705, 5128, 7412], 'generators': [2, 192, 16, 696], 'label': '1344.11566.24.i1', 'mobius_quo': 0, 'mobius_sub': 24, 'normal_closure': '24.i1', 'normal_contained_in': ['8.bg1', '12.d1', '12.e1'], 'normal_contains': ['48.d1', '168.c1'], 'normalizer': '1.a1', 'old_label': '24.i1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71761981
    {'ambient': '1344.11566', 'aut_centralizer_order': 448, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '24.15', 'aut_weyl_index': 4032, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '12.f1', '12.g1', '12.h1', '12.p1'], 'contains': ['48.a1', '48.f1', '48.g1', '48.l1', '168.d1'], 'core': '48.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [2370, -1, 2870, -1], 'generators': [1, 16, 192, 10], 'label': '1344.11566.24.j1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.j1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71761982
    {'ambient': '1344.11566', 'aut_centralizer_order': 224, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '24.15', 'aut_weyl_index': 4032, 'centralizer': '24.q1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.b1', '12.i1', '12.j1', '12.k1', '12.p1', '12.q1'], 'contains': ['48.a1', '48.g1', '48.j1', '168.e1'], 'core': '48.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [7923, -1, 4157, -1], 'generators': [241, 192, 16, 10], 'label': '1344.11566.24.k1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.k1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.k1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71761983
    {'ambient': '1344.11566', 'aut_centralizer_order': 32, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '168.47', 'aut_weyl_index': 576, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.d1', '12.f1', '12.j1', '12.l1', '12.m1', '12.r1'], 'contains': ['48.a1', '48.h1', '48.k1', '168.g1'], 'core': '48.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [5589, -1, 2960, -1], 'generators': [674, 16, 192, 1340], 'label': '1344.11566.24.l1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.l1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.l1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761984
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '336.125', 'aut_weyl_index': 288, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.e1', '12.g1', '12.i1', '12.n1', '12.o1', '12.r1'], 'contains': ['48.a1', '48.h1', '48.m1', '168.h1'], 'core': '48.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [4710, -1, 3316, -1], 'generators': [674, 16, 192, 28], 'label': '1344.11566.24.m1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.m1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761985
    {'ambient': '1344.11566', 'aut_centralizer_order': 448, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '24.15', 'aut_weyl_index': 4032, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.g1', '12.h1', '12.l1', '12.n1', '12.q1'], 'contains': ['48.a1', '48.i1', '48.j1', '168.i1'], 'core': '48.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7713, -1, 3509, -1], 'generators': [3, 192, 16, 10], 'label': '1344.11566.24.n1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.n1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.n1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71761986
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '24.o1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '168.47', 'aut_weyl_index': 576, 'centralizer': '84.bd1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.j1', '12.f1', '12.s1', '12.t1'], 'contains': ['48.b1', '48.f1', '48.k1', '168.k1'], 'core': '48.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [1859, -1, 1962, -1], 'generators': [5, 16, 192, 30], 'label': '1344.11566.24.o1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.o1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.o1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71761987
    {'ambient': '1344.11566', 'aut_centralizer_order': 32, 'aut_label': '24.p1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '168.47', 'aut_weyl_index': 576, 'centralizer': '84.o1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.k1', '12.f1', '12.g1', '12.s1', '12.u1', '12.v1'], 'contains': ['48.e1', '48.f1', '48.h1', '168.l1'], 'core': '48.e1', 'coset_action_label': None, 'count': 18, 'diagramx': [3103, -1, 3030, -1], 'generators': [7, 16, 192, 28], 'label': '1344.11566.24.p1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.p1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.p1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71761988
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '4.d1', 'aut_quo_index': 6, 'aut_stab_index': 12, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '672.a1', 'complements': ['336.m1', '336.n1', '336.l1'], 'conjugacy_class_count': 12, 'contained_in': ['2.c1', '2.e1', '2.f1'], 'contains': ['8.b1', '8.c1', '8.e1', '8.n1', '8.o1', '8.t1', '8.z1', '12.i1', '28.j1'], 'core': '4.d1', 'coset_action_label': None, 'count': 12, 'diagramx': [1589, 3348, 1954, 2477], 'generators': [1, 192, 28, 16, 674, 448], 'label': '1344.11566.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.c1', '2.e1', '2.f1'], 'normal_contains': ['8.b1', '8.c1', '8.e1', '8.n1', '8.o1', '8.t1', '8.z1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': '672.1271'}
  • id: 71762239
    {'ambient': '1344.11566', 'aut_centralizer_order': 192, 'aut_label': '336.n1', 'aut_quo_index': None, 'aut_stab_index': 504, 'aut_weyl_group': '1.1', 'aut_weyl_index': 96768, 'centralizer': '84.w1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['48.n1', '112.n1', '168.o1'], 'contains': ['672.d1', '672.e1', '672.f1'], 'core': '1344.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [357, -1, 2904, -1], 'generators': [1, 28], 'label': '1344.11566.336.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.w1', 'old_label': '336.n1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.n1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71761990
    {'ambient': '1344.11566', 'aut_centralizer_order': 448, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '24.15', 'aut_weyl_index': 4032, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.m1', '12.h1', '12.p1', '12.s1', '12.v1', '12.w1'], 'contains': ['48.d1', '48.f1', '48.j1', '168.n1'], 'core': '48.d1', 'coset_action_label': None, 'count': 9, 'diagramx': [8685, -1, 4599, -1], 'generators': [243, 192, 16, 696], 'label': '1344.11566.24.r1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.r1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.r1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71761991
    {'ambient': '1344.11566', 'aut_centralizer_order': 32, 'aut_label': '24.s1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '168.47', 'aut_weyl_index': 576, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.n1', '12.f1', '12.i1', '12.x1', '12.y1', '12.bc1'], 'contains': ['48.b1', '48.g1', '48.h1', '48.n1', '168.o1'], 'core': '48.b1', 'coset_action_label': None, 'count': 18, 'diagramx': [2261, -1, 2770, -1], 'generators': [1, 16, 192, 28], 'label': '1344.11566.24.s1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.s1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.s1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761992
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '24.t1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '168.47', 'aut_weyl_index': 576, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.o1', '12.g1', '12.i1', '12.j1', '12.z1', '12.ba1', '12.bc1', '12.bd1'], 'contains': ['48.e1', '48.g1', '48.h1', '168.p1'], 'core': '48.e1', 'coset_action_label': None, 'count': 36, 'diagramx': [4601, -1, 3948, -1], 'generators': [869, 16, 192, 28], 'label': '1344.11566.24.t1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.t1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.t1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761993
    {'ambient': '1344.11566', 'aut_centralizer_order': 448, 'aut_label': '24.u1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '24.15', 'aut_weyl_index': 4032, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.p1', '12.h1', '12.k1', '12.y1', '12.z1', '12.bb1'], 'contains': ['48.c1', '48.g1', '48.j1', '168.q1'], 'core': '48.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [6795, -1, 3865, -1], 'generators': [1, 192, 16, 8], 'label': '1344.11566.24.u1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.u1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.u1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71761994
    {'ambient': '1344.11566', 'aut_centralizer_order': 448, 'aut_label': '24.v1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '24.15', 'aut_weyl_index': 4032, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.q1', '12.h1', '12.q1', '12.x1', '12.ba1', '12.be1'], 'contains': ['48.d1', '48.g1', '48.i1', '168.r1'], 'core': '48.d1', 'coset_action_label': None, 'count': 9, 'diagramx': [8533, -1, 4503, -1], 'generators': [3, 192, 16, 696], 'label': '1344.11566.24.v1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.q1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.v1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.v1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71761995
    {'ambient': '1344.11566', 'aut_centralizer_order': 32, 'aut_label': '24.w1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '168.47', 'aut_weyl_index': 576, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.r1', '12.f1', '12.j1', '12.x1', '12.bb1', '12.bd1'], 'contains': ['48.e1', '48.g1', '48.k1', '168.s1'], 'core': '48.e1', 'coset_action_label': None, 'count': 18, 'diagramx': [5475, -1, 3412, -1], 'generators': [1, 16, 192, 30], 'label': '1344.11566.24.w1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.r1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.w1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.w1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761996
    {'ambient': '1344.11566', 'aut_centralizer_order': 224, 'aut_label': '24.x1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '48.45', 'aut_weyl_index': 2016, 'centralizer': '24.q1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.s1', '12.k1', '12.p1', '12.bc1', '12.bd1', '12.be1'], 'contains': ['48.d1', '48.g1', '168.t1'], 'core': '48.d1', 'coset_action_label': None, 'count': 9, 'diagramx': [7595, -1, 4967, -1], 'generators': [1, 192, 16, 696], 'label': '1344.11566.24.x1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.s1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.x1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.x1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71761997
    {'ambient': '1344.11566', 'aut_centralizer_order': 32, 'aut_label': '24.y1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '168.47', 'aut_weyl_index': 576, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.t1', '12.i1', '12.l1', '12.s1', '12.y1', '12.bf1'], 'contains': ['48.b1', '48.h1', '48.j1', '168.u1'], 'core': '48.b1', 'coset_action_label': None, 'count': 18, 'diagramx': [3673, -1, 3242, -1], 'generators': [5, 16, 192, 28], 'label': '1344.11566.24.y1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.t1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.y1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.y1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71761998
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '24.z1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '168.47', 'aut_weyl_index': 576, 'centralizer': '84.bd1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.v1', '12.l1', '12.t1', '12.x1'], 'contains': ['48.b1', '48.i1', '48.k1', '168.w1'], 'core': '48.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [5091, -1, 2037, -1], 'generators': [3, 16, 192, 30], 'label': '1344.11566.24.z1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.v1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.z1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.z1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71761999
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '4.e1', 'aut_quo_index': 6, 'aut_stab_index': 12, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '672.a1', 'complements': ['336.m1', '336.l1', '336.n1'], 'conjugacy_class_count': 12, 'contained_in': ['2.d1', '2.e1', '2.f1'], 'contains': ['8.b1', '8.d1', '8.h1', '8.o1', '8.r1', '8.z1', '8.bh1', '12.j1', '28.k1'], 'core': '4.e1', 'coset_action_label': None, 'count': 12, 'diagramx': [2872, 1863, 2367, 1999], 'generators': [1, 192, 1340, 16, 674, 448], 'label': '1344.11566.4.e1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1', 'normal_contained_in': ['2.d1', '2.e1', '2.f1'], 'normal_contains': ['8.b1', '8.d1', '8.h1', '8.o1', '8.r1', '8.z1', '8.bh1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': '672.1271'}
  • id: 71762000
    {'ambient': '1344.11566', 'aut_centralizer_order': 32, 'aut_label': '24.ba1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '168.47', 'aut_weyl_index': 576, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.x1', '12.m1', '12.r1', '12.s1', '12.x1', '12.bd1', '12.bg1', '12.bh1'], 'contains': ['48.d1', '48.h1', '48.k1', '168.y1'], 'core': '48.d1', 'coset_action_label': None, 'count': 18, 'diagramx': [6028, -1, 4238, -1], 'generators': [2, 16, 192, 28], 'label': '1344.11566.24.ba1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.x1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ba1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ba1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71762001
    {'ambient': '1344.11566', 'aut_centralizer_order': 32, 'aut_label': '24.bb1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '168.47', 'aut_weyl_index': 576, 'centralizer': '84.o1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.y1', '12.l1', '12.n1', '12.u1', '12.x1', '12.ba1'], 'contains': ['48.e1', '48.h1', '48.i1', '168.z1'], 'core': '48.e1', 'coset_action_label': None, 'count': 18, 'diagramx': [7158, -1, 3176, -1], 'generators': [3, 16, 192, 28], 'label': '1344.11566.24.bb1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.y1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bb1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bb1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71762002
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '24.bc1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '168.47', 'aut_weyl_index': 576, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.z1', '12.i1', '12.j1', '12.n1', '12.v1', '12.z1', '12.bf1', '12.bg1'], 'contains': ['48.e1', '48.h1', '48.j1', '168.ba1'], 'core': '48.e1', 'coset_action_label': None, 'count': 36, 'diagramx': [8251, -1, 4024, -1], 'generators': [241, 16, 192, 924], 'label': '1344.11566.24.bc1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.z1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bc1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bc1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71762003
    {'ambient': '1344.11566', 'aut_centralizer_order': 32, 'aut_label': '24.bd1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '336.125', 'aut_weyl_index': 288, 'centralizer': '84.o1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.ba1', '12.m1', '12.o1', '12.u1', '12.y1', '12.z1'], 'contains': ['48.c1', '48.h1', '168.bb1'], 'core': '48.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [6270, -1, 3583, -1], 'generators': [1318, 16, 192, 8], 'label': '1344.11566.24.bd1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.ba1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bd1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bd1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71762004
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '24.be1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '336.125', 'aut_weyl_index': 288, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.bb1', '12.o1', '12.r1', '12.v1', '12.ba1', '12.bc1', '12.bf1', '12.bh1'], 'contains': ['48.d1', '48.h1', '168.bc1'], 'core': '48.d1', 'coset_action_label': None, 'count': 18, 'diagramx': [8880, -1, 4673, -1], 'generators': [2, 16, 192, 1340], 'label': '1344.11566.24.be1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.bb1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.be1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.be1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71762005
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '24.bf1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '336.125', 'aut_weyl_index': 288, 'centralizer': '84.bd1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bd1', '12.m1', '12.t1', '12.bb1'], 'contains': ['48.c1', '48.k1', '168.be1'], 'core': '48.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [6223, -1, 2254, -1], 'generators': [6, 16, 192, 8], 'label': '1344.11566.24.bf1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.bd1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bf1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bf1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71762006
    {'ambient': '1344.11566', 'aut_centralizer_order': 224, 'aut_label': '24.bg1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '48.45', 'aut_weyl_index': 2016, 'centralizer': '24.q1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.be1', '12.k1', '12.q1', '12.w1', '12.bf1', '12.bg1'], 'contains': ['48.d1', '48.j1', '168.bf1'], 'core': '48.d1', 'coset_action_label': None, 'count': 9, 'diagramx': [8938, -1, 5048, -1], 'generators': [241, 192, 16, 696], 'label': '1344.11566.24.bg1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.be1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bg1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bg1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762007
    {'ambient': '1344.11566', 'aut_centralizer_order': 32, 'aut_label': '24.bh1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '168.47', 'aut_weyl_index': 576, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.bh1', '12.j1', '12.l1', '12.s1', '12.bb1', '12.bg1'], 'contains': ['48.e1', '48.j1', '48.k1', '168.bh1'], 'core': '48.e1', 'coset_action_label': None, 'count': 18, 'diagramx': [7466, -1, 3735, -1], 'generators': [241, 16, 192, 926], 'label': '1344.11566.24.bh1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.bh1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bh1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bh1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71762023
    {'ambient': '1344.11566', 'aut_centralizer_order': 144, 'aut_label': '28.m1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3024, 'centralizer': '112.e1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.h1', '14.b1', '14.d1', '14.h1'], 'contains': ['56.c1', '56.m1', '56.w1', '56.y1', '56.be1', '84.i1'], 'core': '56.c1', 'coset_action_label': None, 'count': 21, 'diagramx': [3204, -1, 7206, -1], 'generators': [5, 16, 2, 8, 448], 'label': '1344.11566.28.m1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.m1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.m1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 71762008
    {'ambient': '1344.11566', 'aut_centralizer_order': 672, 'aut_label': '28.a1', 'aut_quo_index': 2, 'aut_stab_index': 3, 'aut_weyl_group': '48.51', 'aut_weyl_index': 2016, 'centralizer': '24.b1', 'complements': ['48.m1', '48.n1'], 'conjugacy_class_count': 3, 'contained_in': ['4.c1', '14.a1', '14.b1', '14.c1'], 'contains': ['56.a1', '56.c1', '56.d1', '56.f1', '56.g1', '56.h1', '56.i1', '84.d1'], 'core': '28.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [3302, 8366, 7317, 8764], 'generators': [1, 448, 2, 8, 16], 'label': '1344.11566.28.a1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.a1', 'normal_contained_in': ['4.c1', '14.a1'], 'normal_contains': ['56.a1', '56.c1', '56.d1', '56.f1', '56.g1', '56.h1', '56.i1'], 'normalizer': '1.a1', 'old_label': '28.a1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762009
    {'ambient': '1344.11566', 'aut_centralizer_order': 336, 'aut_label': '28.b1', 'aut_quo_index': 2, 'aut_stab_index': 3, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '48.c1', 'complements': ['48.m1', '48.n1'], 'conjugacy_class_count': 3, 'contained_in': ['4.f1', '14.a1', '14.d1', '14.e1'], 'contains': ['56.b1', '56.c1', '56.h1', '56.j1', '56.k1', '84.g1'], 'core': '28.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [4114, 8126, 8420, 9133], 'generators': [225, 448, 2, 8, 16], 'label': '1344.11566.28.b1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.b1', 'normal_contained_in': ['4.f1', '14.a1'], 'normal_contains': ['56.b1', '56.c1', '56.h1', '56.j1', '56.k1'], 'normalizer': '1.a1', 'old_label': '28.b1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.b1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762010
    {'ambient': '1344.11566', 'aut_centralizer_order': 56, 'aut_label': '4.f1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '576.8609', 'aut_weyl_index': 168, 'centralizer': '48.c1', 'complements': ['336.m1', '336.n1'], 'conjugacy_class_count': 3, 'contained_in': ['2.c1', '2.d1', '2.g1'], 'contains': ['8.b1', '8.f1', '8.p1', '8.s1', '8.be1', '12.k1', '28.b1'], 'core': '4.f1', 'coset_action_label': None, 'count': 3, 'diagramx': [4012, 8082, 4729, 7329], 'generators': [241, 448, 8, 192, 2, 16], 'label': '1344.11566.4.f1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1', 'normal_contained_in': ['2.c1', '2.d1', '2.g1'], 'normal_contains': ['8.b1', '8.f1', '8.p1', '8.s1', '8.be1', '28.b1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762011
    {'ambient': '1344.11566', 'aut_centralizer_order': 336, 'aut_label': '28.c1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '48.c1', 'complements': ['48.m1', '48.n1'], 'conjugacy_class_count': 3, 'contained_in': ['4.m1', '14.a1', '14.f1'], 'contains': ['56.a1', '56.b1', '56.e1', '56.g1', '56.j1', '84.n1'], 'core': '28.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [5491, 7640, 8073, 9317], 'generators': [1, 448, 674, 696, 16], 'label': '1344.11566.28.c1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.c1', 'normal_contained_in': ['4.m1', '14.a1'], 'normal_contains': ['56.a1', '56.b1', '56.e1', '56.g1', '56.j1'], 'normalizer': '1.a1', 'old_label': '28.c1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.c1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762012
    {'ambient': '1344.11566', 'aut_centralizer_order': 336, 'aut_label': '28.d1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '24.g1', 'complements': ['48.m1', '48.n1'], 'conjugacy_class_count': 3, 'contained_in': ['4.n1', '14.a1', '14.g1'], 'contains': ['56.b1', '56.d1', '56.e1', '56.i1', '56.k1', '84.o1'], 'core': '28.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [4513, 8731, 8277, 8981], 'generators': [225, 448, 674, 696, 16], 'label': '1344.11566.28.d1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.d1', 'normal_contained_in': ['4.n1', '14.a1'], 'normal_contains': ['56.b1', '56.d1', '56.e1', '56.i1', '56.k1'], 'normalizer': '1.a1', 'old_label': '28.d1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.d1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762013
    {'ambient': '1344.11566', 'aut_centralizer_order': 1008, 'aut_label': '28.e1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '96.226', 'aut_weyl_index': 1008, 'centralizer': '16.f1', 'complements': ['48.n1'], 'conjugacy_class_count': 1, 'contained_in': ['4.q1', '14.a1', '14.h1', '14.i1'], 'contains': ['56.c1', '56.e1', '56.l1', '84.a1'], 'core': '28.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [6998, 9689, 8670, 9893], 'generators': [2, 16, 8, 672, 448], 'label': '1344.11566.28.e1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.e1', 'normal_contained_in': ['4.q1', '14.a1'], 'normal_contains': ['56.c1', '56.e1', '56.l1', '84.a1'], 'normalizer': '1.a1', 'old_label': '28.e1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.e1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 71762014
    {'ambient': '1344.11566', 'aut_centralizer_order': 336, 'aut_label': '28.f1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '288.1028', 'aut_weyl_index': 336, 'centralizer': '48.c1', 'complements': ['48.m1', '48.n1'], 'conjugacy_class_count': 1, 'contained_in': ['4.v1', '14.a1', '14.j1'], 'contains': ['56.g1', '56.k1', '56.l1', '84.v1'], 'core': '28.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [6435, 9303, 8906, 9512], 'generators': [225, 448, 2, 696, 16], 'label': '1344.11566.28.f1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.f1', 'normal_contained_in': ['4.v1', '14.a1'], 'normal_contains': ['56.g1', '56.k1', '56.l1'], 'normalizer': '1.a1', 'old_label': '28.f1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.f1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762015
    {'ambient': '1344.11566', 'aut_centralizer_order': 336, 'aut_label': '28.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '288.1028', 'aut_weyl_index': 336, 'centralizer': '24.f1', 'complements': ['48.m1'], 'conjugacy_class_count': 1, 'contained_in': ['4.bd1', '14.a1', '14.k1'], 'contains': ['56.i1', '56.j1', '56.l1', '84.bd1'], 'core': '28.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [7090, 9485, 8833, 9692], 'generators': [1, 448, 2, 696, 16], 'label': '1344.11566.28.g1', 'mobius_quo': 0, 'mobius_sub': -14, 'normal_closure': '28.g1', 'normal_contained_in': ['4.bd1', '14.a1'], 'normal_contains': ['56.i1', '56.j1', '56.l1'], 'normalizer': '1.a1', 'old_label': '28.g1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '28.g1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762016
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '28.h1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '48.51', 'aut_weyl_index': 2016, 'centralizer': '336.c1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '14.b1', '14.f1'], 'contains': ['56.a1', '56.m1', '56.n1', '56.q1', '56.r1', '56.s1', '56.u1', '84.b1'], 'core': '56.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [925, -1, 6199, -1], 'generators': [5, 448, 674, 1148, 16], 'label': '1344.11566.28.h1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.h1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.h1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762017
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '28.i1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.b1', '14.c1', '14.f1'], 'contains': ['56.a1', '56.o1', '56.p1', '56.r1', '56.t1', '84.c1'], 'core': '56.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [1505, -1, 6489, -1], 'generators': [885, 448, 674, 220, 16], 'label': '1344.11566.28.i1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.i1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.i1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762018
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '28.j1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '48.51', 'aut_weyl_index': 2016, 'centralizer': '336.j1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.d1', '14.d1', '14.f1', '14.g1'], 'contains': ['56.b1', '56.m1', '56.o1', '56.s1', '56.t1', '56.v1', '56.bb1', '84.e1'], 'core': '56.b1', 'coset_action_label': None, 'count': 84, 'diagramx': [1427, -1, 6578, -1], 'generators': [1, 448, 674, 28, 16], 'label': '1344.11566.28.j1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.j1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.j1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762019
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '28.k1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '48.51', 'aut_weyl_index': 2016, 'centralizer': '336.j1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.e1', '14.e1', '14.f1', '14.g1'], 'contains': ['56.b1', '56.n1', '56.p1', '56.t1', '56.u1', '56.bb1', '56.bh1', '84.f1'], 'core': '56.b1', 'coset_action_label': None, 'count': 84, 'diagramx': [3021, -1, 6981, -1], 'generators': [1, 448, 674, 1340, 16], 'label': '1344.11566.28.k1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.k1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.k1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762020
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '28.l1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '48.51', 'aut_weyl_index': 2016, 'centralizer': '168.bg1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.g1', '14.b1', '14.g1'], 'contains': ['56.d1', '56.m1', '56.n1', '56.v1', '56.x1', '56.ba1', '56.bh1', '84.h1'], 'core': '56.d1', 'coset_action_label': None, 'count': 42, 'diagramx': [2206, -1, 6267, -1], 'generators': [225, 448, 674, 1340, 16], 'label': '1344.11566.28.l1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.l1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.l1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762021
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '2.a1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 12, 'centralizer': '336.c1', 'complements': ['672.f1', '672.b1', '672.d1'], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '4.g1', '4.h1', '4.i1', '4.r1', '4.s1', '4.t1', '4.w1', '4.x1', '4.ba1', '6.b1', '14.b1'], 'core': '2.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [2543, 2601, 2366, 1367], 'generators': [5, 448, 8, 672, 6, 192, 16], 'label': '1344.11566.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '4.g1', '4.h1', '4.i1', '4.r1', '4.s1', '4.t1', '4.w1', '4.x1', '4.ba1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762022
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '4.g1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '336.c1', 'complements': ['336.m1', '336.l1', '336.n1'], 'conjugacy_class_count': 6, 'contained_in': ['2.a1', '2.f1'], 'contains': ['8.c1', '8.d1', '8.g1', '8.t1', '8.v1', '8.y1', '8.bh1', '12.l1', '28.l1'], 'core': '4.g1', 'coset_action_label': None, 'count': 6, 'diagramx': [2012, 2074, 1434, 506], 'generators': [241, 192, 1340, 16, 674, 448], 'label': '1344.11566.4.g1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1', 'normal_contained_in': ['2.a1', '2.f1'], 'normal_contains': ['8.c1', '8.d1', '8.g1', '8.t1', '8.v1', '8.y1', '8.bh1'], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762024
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '28.n1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '336.c1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.i1', '14.b1', '14.e1', '14.i1'], 'contains': ['56.c1', '56.n1', '56.z1', '56.bc1', '56.bf1', '84.j1'], 'core': '56.c1', 'coset_action_label': None, 'count': 21, 'diagramx': [2526, -1, 7051, -1], 'generators': [6, 448, 8, 672, 16], 'label': '1344.11566.28.n1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.n1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.n1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762025
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '28.o1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '168.j1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.j1', '14.c1', '14.g1'], 'contains': ['56.d1', '56.o1', '56.p1', '56.ba1', '56.bb1', '84.k1'], 'core': '56.d1', 'coset_action_label': None, 'count': 42, 'diagramx': [3693, -1, 6680, -1], 'generators': [225, 448, 674, 28, 16], 'label': '1344.11566.28.o1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.o1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.o1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762026
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '28.p1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '192.1524', 'aut_weyl_index': 504, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.k1', '14.c1', '14.d1', '14.i1'], 'contains': ['56.c1', '56.o1', '56.bc1', '56.bd1', '84.l1'], 'core': '56.c1', 'coset_action_label': None, 'count': 21, 'diagramx': [3438, -1, 7575, -1], 'generators': [2, 448, 1316, 8, 16], 'label': '1344.11566.28.p1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.p1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.p1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762027
    {'ambient': '1344.11566', 'aut_centralizer_order': 72, 'aut_label': '28.q1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '64.264', 'aut_weyl_index': 1512, 'centralizer': '112.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.l1', '14.c1', '14.e1', '14.h1'], 'contains': ['56.c1', '56.p1', '56.be1', '56.bg1', '84.m1'], 'core': '56.c1', 'coset_action_label': None, 'count': 21, 'diagramx': [4260, -1, 7895, -1], 'generators': [885, 16, 2, 8, 448], 'label': '1344.11566.28.q1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.q1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.q1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 71762028
    {'ambient': '1344.11566', 'aut_centralizer_order': 72, 'aut_label': '28.r1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3024, 'centralizer': '112.j1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.o1', '14.f1', '14.g1', '14.h1'], 'contains': ['56.e1', '56.m1', '56.p1', '56.w1', '56.bg1', '84.p1'], 'core': '56.e1', 'coset_action_label': None, 'count': 42, 'diagramx': [5013, -1, 7806, -1], 'generators': [5, 16, 674, 696, 448], 'label': '1344.11566.28.r1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.r1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.r1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 71762029
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '28.s1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '336.j1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.p1', '14.f1', '14.g1', '14.i1'], 'contains': ['56.e1', '56.n1', '56.o1', '56.z1', '56.bd1', '84.q1'], 'core': '56.e1', 'coset_action_label': None, 'count': 42, 'diagramx': [5092, -1, 7486, -1], 'generators': [2, 448, 28, 672, 16], 'label': '1344.11566.28.s1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.s1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.s1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762030
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '28.t1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '48.51', 'aut_weyl_index': 2016, 'centralizer': '336.c1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.r1', '14.b1', '14.f1', '14.j1'], 'contains': ['56.g1', '56.q1', '56.r1', '56.v1', '56.w1', '56.z1', '56.bh1', '84.r1'], 'core': '56.g1', 'coset_action_label': None, 'count': 42, 'diagramx': [3884, -1, 7121, -1], 'generators': [5, 448, 2, 28, 16], 'label': '1344.11566.28.t1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.r1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.t1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.t1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762031
    {'ambient': '1344.11566', 'aut_centralizer_order': 144, 'aut_label': '28.u1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.s1', '14.b1'], 'contains': ['56.f1', '56.q1', '56.x1', '56.y1', '56.bf1', '84.s1'], 'core': '56.f1', 'coset_action_label': None, 'count': 7, 'diagramx': [1701, -1, 6132, -1], 'generators': [5, 448, 6, 8, 16], 'label': '1344.11566.28.u1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.s1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.u1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.u1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762032
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '28.v1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '168.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.t1', '14.b1', '14.c1'], 'contains': ['56.f1', '56.r1', '56.ba1', '56.bc1', '56.be1', '84.t1'], 'core': '56.f1', 'coset_action_label': None, 'count': 21, 'diagramx': [2279, -1, 6327, -1], 'generators': [885, 448, 1318, 8, 16], 'label': '1344.11566.28.v1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.t1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.v1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.v1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762033
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '4.h1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '1344.11434', 'aut_weyl_index': 72, 'centralizer': '112.e1', 'complements': ['336.m1', '336.l1'], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '2.c1', '2.h1'], 'contains': ['8.c1', '8.f1', '8.u1', '8.w1', '8.bc1', '12.a1', '28.m1'], 'core': '4.h1', 'coset_action_label': None, 'count': 3, 'diagramx': [3368, 6177, 2663, 4270], 'generators': [5, 192, 8, 448, 2, 16], 'label': '1344.11566.4.h1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.h1', 'normal_contained_in': ['2.a1', '2.c1', '2.h1'], 'normal_contains': ['8.c1', '8.f1', '8.u1', '8.w1', '8.bc1', '12.a1'], 'normalizer': '1.a1', 'old_label': '4.h1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.h1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71762034
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '28.w1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.u1', '14.c1', '14.f1', '14.j1'], 'contains': ['56.g1', '56.r1', '56.bb1', '56.bd1', '56.bg1', '84.u1'], 'core': '56.g1', 'coset_action_label': None, 'count': 42, 'diagramx': [5879, -1, 7723, -1], 'generators': [885, 448, 2, 1340, 16], 'label': '1344.11566.28.w1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.u1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.w1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.w1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762035
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '28.x1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '48.51', 'aut_weyl_index': 2016, 'centralizer': '168.v1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.w1', '14.b1', '14.g1', '14.k1'], 'contains': ['56.i1', '56.s1', '56.u1', '56.w1', '56.x1', '56.z1', '56.ba1', '84.w1'], 'core': '56.i1', 'coset_action_label': None, 'count': 42, 'diagramx': [3105, -1, 6884, -1], 'generators': [1, 448, 2, 28, 16], 'label': '1344.11566.28.x1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.w1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.x1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.x1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762036
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '28.y1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '336.c1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.x1', '14.b1', '14.d1'], 'contains': ['56.h1', '56.s1', '56.v1', '56.y1', '56.bc1', '84.x1'], 'core': '56.h1', 'coset_action_label': None, 'count': 21, 'diagramx': [1583, -1, 6401, -1], 'generators': [5, 448, 1126, 8, 16], 'label': '1344.11566.28.y1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.x1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.y1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.y1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762037
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '28.z1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '336.a1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.y1', '14.c1', '14.d1', '14.e1'], 'contains': ['56.h1', '56.t1', '56.bb1', '56.bc1', '56.be1', '84.y1'], 'core': '56.h1', 'coset_action_label': None, 'count': 42, 'diagramx': [2925, -1, 7413, -1], 'generators': [1, 448, 1318, 8, 16], 'label': '1344.11566.28.z1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.y1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.z1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.z1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762038
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '28.ba1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '168.f1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.z1', '14.c1', '14.g1', '14.k1'], 'contains': ['56.i1', '56.t1', '56.ba1', '56.bd1', '56.bg1', '84.z1'], 'core': '56.i1', 'coset_action_label': None, 'count': 42, 'diagramx': [4384, -1, 7657, -1], 'generators': [1, 448, 2, 1340, 16], 'label': '1344.11566.28.ba1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.z1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.ba1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.ba1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762039
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '28.bb1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '336.c1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.ba1', '14.b1', '14.e1'], 'contains': ['56.h1', '56.u1', '56.be1', '56.bf1', '56.bh1', '84.ba1'], 'core': '56.h1', 'coset_action_label': None, 'count': 21, 'diagramx': [2593, -1, 6782, -1], 'generators': [1, 448, 6, 8, 16], 'label': '1344.11566.28.bb1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.ba1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.bb1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.bb1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762040
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '28.bc1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '336.f1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.bb1', '14.d1', '14.f1', '14.k1'], 'contains': ['56.j1', '56.s1', '56.t1', '56.w1', '56.bd1', '84.bb1'], 'core': '56.j1', 'coset_action_label': None, 'count': 42, 'diagramx': [5169, -1, 7984, -1], 'generators': [5, 448, 2, 1148, 16], 'label': '1344.11566.28.bc1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.bb1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.bc1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.bc1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762041
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '28.bd1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '336.f1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.bc1', '14.e1', '14.f1', '14.k1'], 'contains': ['56.j1', '56.t1', '56.u1', '56.z1', '56.bg1', '84.bc1'], 'core': '56.j1', 'coset_action_label': None, 'count': 42, 'diagramx': [4730, -1, 8147, -1], 'generators': [885, 448, 2, 220, 16], 'label': '1344.11566.28.bd1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.bc1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.bd1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.bd1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762042
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '28.be1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '336.j1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.be1', '14.d1', '14.g1', '14.j1'], 'contains': ['56.k1', '56.v1', '56.w1', '56.bb1', '56.bd1', '84.be1'], 'core': '56.k1', 'coset_action_label': None, 'count': 42, 'diagramx': [5301, -1, 8215, -1], 'generators': [225, 448, 2, 1340, 16], 'label': '1344.11566.28.be1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.be1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.be1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.be1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762043
    {'ambient': '1344.11566', 'aut_centralizer_order': 72, 'aut_label': '28.bf1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '96.226', 'aut_weyl_index': 1008, 'centralizer': '112.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.bf1', '14.h1', '14.j1', '14.k1'], 'contains': ['56.l1', '56.w1', '56.bg1', '84.bf1'], 'core': '56.l1', 'coset_action_label': None, 'count': 14, 'diagramx': [6565, -1, 8759, -1], 'generators': [5, 16, 2, 696, 448], 'label': '1344.11566.28.bf1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.bf1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.bf1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.bf1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 71762044
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '4.i1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '336.c1', 'complements': ['336.n1', '336.l1'], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '2.d1', '2.i1'], 'contains': ['8.d1', '8.f1', '8.x1', '8.ba1', '8.bd1', '12.m1', '28.n1'], 'core': '4.i1', 'coset_action_label': None, 'count': 3, 'diagramx': [2479, 2332, 2469, 1516], 'generators': [6, 192, 672, 16, 8, 448], 'label': '1344.11566.4.i1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.i1', 'normal_contained_in': ['2.a1', '2.d1', '2.i1'], 'normal_contains': ['8.d1', '8.f1', '8.x1', '8.ba1', '8.bd1'], 'normalizer': '1.a1', 'old_label': '4.i1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.i1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762045
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '28.bg1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '96.209', 'aut_weyl_index': 1008, 'centralizer': '336.j1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.bg1', '14.e1', '14.g1', '14.j1'], 'contains': ['56.k1', '56.z1', '56.bb1', '56.bg1', '56.bh1', '84.bg1'], 'core': '56.k1', 'coset_action_label': None, 'count': 42, 'diagramx': [4596, -1, 8345, -1], 'generators': [225, 448, 2, 28, 16], 'label': '1344.11566.28.bg1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.bg1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.bg1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.bg1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762046
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '28.bh1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '288.1028', 'aut_weyl_index': 336, 'centralizer': '336.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.bh1', '14.i1', '14.j1', '14.k1'], 'contains': ['56.l1', '56.z1', '56.bd1', '84.bh1'], 'core': '56.l1', 'coset_action_label': None, 'count': 14, 'diagramx': [7149, -1, 8587, -1], 'generators': [2, 448, 28, 680, 16], 'label': '1344.11566.28.bh1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.bh1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '28.bh1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.bh1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762047
    {'ambient': '1344.11566', 'aut_centralizer_order': 8064, 'aut_label': '32.a1', 'aut_quo_index': 833280, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 8064, 'centralizer': '4.q1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '16.b1', '16.c1', '16.d1', '16.e1', '16.f1', '16.g1', '16.h1', '16.i1', '16.j1', '16.k1'], 'contains': ['64.a1', '96.a1', '224.a1'], 'core': '32.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [606, 5356, 2952, 5046], 'generators': [16, 192, 448], 'label': '1344.11566.32.a1', 'mobius_quo': -1, 'mobius_sub': -1024, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1', '16.c1', '16.d1', '16.e1', '16.f1', '16.g1', '16.h1', '16.i1', '16.j1', '16.k1'], 'normal_contains': ['64.a1', '96.a1', '224.a1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '8.5', 'quotient_action_kernel_order': 8, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762048
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '12.5', 'aut_weyl_index': 8064, 'centralizer': '8.f1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.a1', '16.l1', '16.m1'], 'contains': ['64.a1', '96.b1', '224.b1'], 'core': '64.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [324, -1, 2623, -1], 'generators': [10, 192, 448], 'label': '1344.11566.32.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '32.b1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762049
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '36.12', 'aut_weyl_index': 2688, 'centralizer': '12.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '16.l1'], 'contains': ['64.a1', '96.c1', '224.c1'], 'core': '64.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [247, -1, 2505, -1], 'generators': [11, 448, 192], 'label': '1344.11566.32.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '32.c1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71762050
    {'ambient': '1344.11566', 'aut_centralizer_order': 448, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '36.12', 'aut_weyl_index': 2688, 'centralizer': '24.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.c1', '16.l1', '16.n1'], 'contains': ['64.a1', '96.d1', '224.d1'], 'core': '64.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [130, -1, 2373, -1], 'generators': [1, 448, 192], 'label': '1344.11566.32.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '32.d1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71762051
    {'ambient': '1344.11566', 'aut_centralizer_order': 288, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '84.7', 'aut_weyl_index': 1152, 'centralizer': '56.l1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '16.n1'], 'contains': ['64.a1', '96.e1', '224.e1'], 'core': '64.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [40, -1, 2293, -1], 'generators': [5, 192, 448], 'label': '1344.11566.32.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.k1', 'old_label': '32.e1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71762052
    {'ambient': '1344.11566', 'aut_centralizer_order': 32, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '252.26', 'aut_weyl_index': 384, 'centralizer': '168.b1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.e1', '16.m1', '16.n1'], 'contains': ['64.a1', '96.f1', '224.f1'], 'core': '64.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [188, -1, 2571, -1], 'generators': [28, 192, 448], 'label': '1344.11566.32.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.f1', 'old_label': '32.f1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.f1', 'subgroup_fusion': None, 'weyl_group': '84.8'}
  • id: 71762053
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '42.a1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3024, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['6.b1', '14.b1', '21.a1'], 'contains': ['84.b1', '84.d1', '84.h1', '84.i1', '84.j1', '84.r1', '84.s1', '84.t1', '84.w1', '84.x1', '84.ba1'], 'core': '168.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [6772, -1, 8504, -1], 'generators': [5, 6, 8, 672], 'label': '1344.11566.42.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '42.a1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762054
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '42.b1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '64.264', 'aut_weyl_index': 1512, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['6.c1', '14.c1', '21.a1'], 'contains': ['84.c1', '84.d1', '84.k1', '84.l1', '84.m1', '84.t1', '84.u1', '84.y1', '84.z1'], 'core': '168.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [8608, -1, 8996, -1], 'generators': [1, 2, 868, 8], 'label': '1344.11566.42.b1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '42.b1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.b1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762055
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '4.j1', 'aut_quo_index': 3, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '336.a1', 'complements': ['336.m1', '336.n1', '336.l1'], 'conjugacy_class_count': 6, 'contained_in': ['2.b1', '2.f1'], 'contains': ['8.e1', '8.g1', '8.h1', '8.y1', '8.z1', '12.n1', '28.o1'], 'core': '4.j1', 'coset_action_label': None, 'count': 6, 'diagramx': [3539, 4927, 2046, 3461], 'generators': [241, 192, 28, 16, 674, 448], 'label': '1344.11566.4.j1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.j1', 'normal_contained_in': ['2.b1', '2.f1'], 'normal_contains': ['8.e1', '8.g1', '8.h1', '8.y1', '8.z1'], 'normalizer': '1.a1', 'old_label': '4.j1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.j1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762056
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '42.c1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '64.226', 'aut_weyl_index': 1512, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['6.d1', '14.d1', '21.a1'], 'contains': ['84.e1', '84.g1', '84.i1', '84.l1', '84.x1', '84.y1', '84.bb1', '84.be1'], 'core': '168.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [7651, -1, 9244, -1], 'generators': [5, 2, 1124, 8], 'label': '1344.11566.42.c1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '42.c1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.c1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 71762057
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '42.d1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '64.226', 'aut_weyl_index': 1512, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['6.e1', '14.e1', '21.a1'], 'contains': ['84.f1', '84.g1', '84.j1', '84.m1', '84.y1', '84.ba1', '84.bc1', '84.bg1'], 'core': '168.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [7591, -1, 9311, -1], 'generators': [1, 6, 8, 672], 'label': '1344.11566.42.d1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '42.d1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.d1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 71762058
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '42.e1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3024, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['6.f1', '14.f1', '21.a1'], 'contains': ['84.b1', '84.c1', '84.e1', '84.f1', '84.n1', '84.p1', '84.q1', '84.r1', '84.u1', '84.bb1', '84.bc1'], 'core': '168.b1', 'coset_action_label': None, 'count': 126, 'diagramx': [7158, -1, 9079, -1], 'generators': [5, 2, 28, 672], 'label': '1344.11566.42.e1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '42.e1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.e1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 71762059
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '42.f1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '32.46', 'aut_weyl_index': 3024, 'centralizer': '168.z1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['6.g1', '14.g1', '21.a1'], 'contains': ['84.e1', '84.f1', '84.h1', '84.k1', '84.o1', '84.p1', '84.q1', '84.w1', '84.z1', '84.be1', '84.bg1'], 'core': '168.b1', 'coset_action_label': None, 'count': 126, 'diagramx': [8879, -1, 9161, -1], 'generators': [1, 2, 28, 672], 'label': '1344.11566.42.f1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '42.f1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.f1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762060
    {'ambient': '1344.11566', 'aut_centralizer_order': 336, 'aut_label': '42.g1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '96.226', 'aut_weyl_index': 1008, 'centralizer': '24.q1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.h1', '14.a1', '21.a1'], 'contains': ['84.a1', '84.d1', '84.g1', '84.n1', '84.o1', '84.v1', '84.bd1'], 'core': '84.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9376, -1, 9691, -1], 'generators': [1, 2, 8, 672], 'label': '1344.11566.42.g1', 'mobius_quo': None, 'mobius_sub': -7, 'normal_closure': '14.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '42.g1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.g1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762063
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '42.j1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '96.226', 'aut_weyl_index': 1008, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.j1', '14.j1', '21.a1'], 'contains': ['84.r1', '84.u1', '84.v1', '84.be1', '84.bf1', '84.bg1', '84.bh1'], 'core': '168.c1', 'coset_action_label': None, 'count': 42, 'diagramx': [9664, -1, 9609, -1], 'generators': [5, 2, 28, 696], 'label': '1344.11566.42.j1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '42.j1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.j1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 71762064
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '42.k1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '96.226', 'aut_weyl_index': 1008, 'centralizer': '168.w1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.k1', '14.k1', '21.a1'], 'contains': ['84.w1', '84.z1', '84.bb1', '84.bc1', '84.bd1', '84.bf1', '84.bh1'], 'core': '168.c1', 'coset_action_label': None, 'count': 42, 'diagramx': [8793, -1, 9526, -1], 'generators': [1, 2, 28, 696], 'label': '1344.11566.42.k1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '2.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '42.k1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42.k1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762065
    {'ambient': '1344.11566', 'aut_centralizer_order': 2688, 'aut_label': '48.a1', 'aut_quo_index': 336, 'aut_stab_index': 3, 'aut_weyl_group': '12.5', 'aut_weyl_index': 8064, 'centralizer': '4.c1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.a1', '24.a1', '24.b1', '24.c1', '24.d1', '24.j1', '24.k1', '24.l1', '24.m1', '24.n1'], 'contains': ['96.a1', '96.b1', '336.a1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6345, 6801, 3389, 6629], 'generators': [10, 192, 16], 'label': '1344.11566.48.a1', 'mobius_quo': 0, 'mobius_sub': -192, 'normal_closure': '48.a1', 'normal_contained_in': ['16.a1', '24.a1', '24.b1', '24.c1', '24.d1'], 'normal_contains': ['96.a1', '336.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '12.4', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762066
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '4.k1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 12, 'centralizer': '336.a1', 'complements': ['336.n1', '336.l1'], 'conjugacy_class_count': 3, 'contained_in': ['2.b1', '2.c1', '2.i1'], 'contains': ['8.e1', '8.f1', '8.ba1', '8.bb1', '12.o1', '28.p1'], 'core': '4.k1', 'coset_action_label': None, 'count': 3, 'diagramx': [3229, 6749, 3258, 5534], 'generators': [2, 192, 8, 16, 1316, 448], 'label': '1344.11566.4.k1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.k1', 'normal_contained_in': ['2.b1', '2.c1', '2.i1'], 'normal_contains': ['8.e1', '8.f1', '8.ba1', '8.bb1'], 'normalizer': '1.a1', 'old_label': '4.k1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.k1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762067
    {'ambient': '1344.11566', 'aut_centralizer_order': 576, 'aut_label': '48.b1', 'aut_quo_index': 224, 'aut_stab_index': 2, 'aut_weyl_group': '84.7', 'aut_weyl_index': 1152, 'centralizer': '28.g1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '24.a1', '24.e1', '24.f1', '24.o1', '24.s1', '24.y1', '24.z1'], 'contains': ['96.a1', '96.e1', '336.f1'], 'core': '48.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [1004, 6471, 3100, 5967], 'generators': [5, 192, 16], 'label': '1344.11566.48.b1', 'mobius_quo': 0, 'mobius_sub': -192, 'normal_closure': '48.b1', 'normal_contained_in': ['16.d1', '24.a1', '24.e1', '24.f1'], 'normal_contains': ['96.a1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': '672.1271', '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': '28.3'}
  • id: 71762068
    {'ambient': '1344.11566', 'aut_centralizer_order': 8064, 'aut_label': '48.c1', 'aut_quo_index': 224, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 8064, 'centralizer': '2.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.f1', '24.b1', '24.f1', '24.g1', '24.q1', '24.u1', '24.bd1', '24.bf1'], 'contains': ['96.a1', '336.b1'], 'core': '48.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [6260, 7001, 3262, 6201], 'generators': [8, 16, 192], 'label': '1344.11566.48.c1', 'mobius_quo': 0, 'mobius_sub': -192, 'normal_closure': '48.c1', 'normal_contained_in': ['16.f1', '24.b1', '24.f1', '24.g1'], 'normal_contains': ['96.a1', '336.b1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '24.14', 'quotient_action_kernel_order': 24, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762069
    {'ambient': '1344.11566', 'aut_centralizer_order': 2688, 'aut_label': '48.d1', 'aut_quo_index': 672, 'aut_stab_index': 3, 'aut_weyl_group': '12.5', 'aut_weyl_index': 8064, 'centralizer': '4.c1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.g1', '24.b1', '24.d1', '24.e1', '24.h1', '24.i1', '24.r1', '24.v1', '24.x1', '24.ba1', '24.be1', '24.bg1'], 'contains': ['96.a1', '336.c1'], 'core': '48.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [8274, 9036, 4636, 6908], 'generators': [696, 16, 192], 'label': '1344.11566.48.d1', 'mobius_quo': 0, 'mobius_sub': -192, 'normal_closure': '48.d1', 'normal_contained_in': ['16.g1', '24.b1', '24.d1', '24.e1', '24.h1', '24.i1'], 'normal_contains': ['96.a1', '336.c1'], 'normalizer': '1.a1', 'old_label': '48.d1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '12.4', 'quotient_action_kernel_order': 12, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762070
    {'ambient': '1344.11566', 'aut_centralizer_order': 192, 'aut_label': '48.e1', 'aut_quo_index': 672, 'aut_stab_index': 6, 'aut_weyl_group': '84.7', 'aut_weyl_index': 1152, 'centralizer': '28.d1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['16.j1', '24.a1', '24.c1', '24.e1', '24.g1', '24.h1', '24.p1', '24.t1', '24.w1', '24.bb1', '24.bc1', '24.bh1'], 'contains': ['96.a1', '336.j1'], 'core': '48.e1', 'coset_action_label': None, 'count': 6, 'diagramx': [7336, 6615, 3687, 6411], 'generators': [7, 192, 16], 'label': '1344.11566.48.e1', 'mobius_quo': 0, 'mobius_sub': -192, 'normal_closure': '48.e1', 'normal_contained_in': ['16.j1', '24.a1', '24.c1', '24.e1', '24.g1', '24.h1'], 'normal_contains': ['96.a1'], 'normalizer': '1.a1', 'old_label': '48.e1', 'projective_image': '672.1271', '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': '28.3'}
  • id: 71762071
    {'ambient': '1344.11566', 'aut_centralizer_order': 2688, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '12.5', 'aut_weyl_index': 8064, 'centralizer': '6.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '24.j1', '24.o1', '24.p1', '24.q1', '24.r1'], 'contains': ['96.a1', '96.c1', '336.d1'], 'core': '96.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1169, -1, 3026, -1], 'generators': [11, 192, 16], 'label': '1344.11566.48.f1', 'mobius_quo': None, 'mobius_sub': -64, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.f1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762072
    {'ambient': '1344.11566', 'aut_centralizer_order': 896, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '12.5', 'aut_weyl_index': 8064, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.c1', '24.j1', '24.k1', '24.s1', '24.t1', '24.u1', '24.v1', '24.w1', '24.x1'], 'contains': ['96.a1', '96.d1', '336.e1'], 'core': '96.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [3330, -1, 3777, -1], 'generators': [1, 192, 16], 'label': '1344.11566.48.g1', 'mobius_quo': None, 'mobius_sub': -64, 'normal_closure': '16.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.g1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762073
    {'ambient': '1344.11566', 'aut_centralizer_order': 64, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '84.7', 'aut_weyl_index': 1152, 'centralizer': '84.o1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.e1', '24.l1', '24.m1', '24.p1', '24.s1', '24.t1', '24.y1', '24.ba1', '24.bb1', '24.bc1', '24.bd1', '24.be1'], 'contains': ['96.a1', '96.f1', '336.g1'], 'core': '96.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [4966, -1, 3315, -1], 'generators': [28, 192, 16], 'label': '1344.11566.48.h1', 'mobius_quo': None, 'mobius_sub': -64, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.h1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71762074
    {'ambient': '1344.11566', 'aut_centralizer_order': 2688, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '12.5', 'aut_weyl_index': 8064, 'centralizer': '6.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.h1', '24.n1', '24.q1', '24.v1', '24.z1', '24.bb1'], 'contains': ['96.a1', '336.h1'], 'core': '96.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6955, -1, 3210, -1], 'generators': [3, 16, 192], 'label': '1344.11566.48.i1', 'mobius_quo': None, 'mobius_sub': -64, 'normal_closure': '16.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.i1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762075
    {'ambient': '1344.11566', 'aut_centralizer_order': 896, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '12.5', 'aut_weyl_index': 8064, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.i1', '24.k1', '24.n1', '24.r1', '24.u1', '24.y1', '24.bc1', '24.bg1', '24.bh1'], 'contains': ['96.a1', '336.i1'], 'core': '96.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8031, -1, 3865, -1], 'generators': [9, 16, 192], 'label': '1344.11566.48.j1', 'mobius_quo': None, 'mobius_sub': -64, 'normal_closure': '16.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.j1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.j1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762076
    {'ambient': '1344.11566', 'aut_centralizer_order': 192, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '84.7', 'aut_weyl_index': 1152, 'centralizer': '84.bd1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.k1', '24.l1', '24.o1', '24.w1', '24.z1', '24.ba1', '24.bf1', '24.bh1'], 'contains': ['96.a1', '336.k1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5784, -1, 3156, -1], 'generators': [30, 192, 16], 'label': '1344.11566.48.k1', 'mobius_quo': None, 'mobius_sub': -64, 'normal_closure': '16.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.k1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k1', 'subgroup_fusion': None, 'weyl_group': '28.3'}
  • id: 71762077
    {'ambient': '1344.11566', 'aut_centralizer_order': 12, 'aut_label': '4.l1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 36, 'centralizer': '112.a1', 'complements': ['336.m1', '336.l1', '336.n1'], 'conjugacy_class_count': 3, 'contained_in': ['2.b1', '2.d1', '2.h1'], 'contains': ['8.f1', '8.h1', '8.bc1', '8.bf1', '12.b1', '28.q1'], 'core': '4.l1', 'coset_action_label': None, 'count': 3, 'diagramx': [3893, 6991, 3694, 6013], 'generators': [885, 192, 8, 448, 2, 16], 'label': '1344.11566.4.l1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.l1', 'normal_contained_in': ['2.b1', '2.d1', '2.h1'], 'normal_contains': ['8.f1', '8.h1', '8.bc1', '8.bf1', '12.b1'], 'normalizer': '1.a1', 'old_label': '4.l1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.l1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71762078
    {'ambient': '1344.11566', 'aut_centralizer_order': 448, 'aut_label': '48.l1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '6.2', 'aut_weyl_index': 16128, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.l1', '24.j1'], 'contains': ['96.b1', '96.c1', '96.d1', '336.l1'], 'core': '192.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [421, -1, 2698, -1], 'generators': [1, 192, 10], 'label': '1344.11566.48.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.h1', 'old_label': '48.l1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71762079
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '48.m1', 'aut_quo_index': None, 'aut_stab_index': 72, 'aut_weyl_group': '84.7', 'aut_weyl_index': 1152, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.m1', '24.m1'], 'contains': ['96.b1', '96.f1', '336.m1'], 'core': '192.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [1824, -1, 2772, -1], 'generators': [674, 192, 28], 'label': '1344.11566.48.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.n1', 'old_label': '48.m1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.m1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 71762080
    {'ambient': '1344.11566', 'aut_centralizer_order': 32, 'aut_label': '48.n1', 'aut_quo_index': None, 'aut_stab_index': 72, 'aut_weyl_group': '42.1', 'aut_weyl_index': 2304, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.n1', '24.s1'], 'contains': ['96.d1', '96.e1', '96.f1', '336.n1'], 'core': '192.a1', 'coset_action_label': None, 'count': 72, 'diagramx': [153, -1, 2439, -1], 'generators': [1, 192, 28], 'label': '1344.11566.48.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.x1', 'old_label': '48.n1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.n1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 71762081
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '56.a1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '24.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '28.a1', '28.c1', '28.h1', '28.i1'], 'contains': ['112.a1', '112.b1', '112.c1', '112.l1', '168.d1'], 'core': '56.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1277, 7142, 5675, 8251], 'generators': [1, 10, 16, 448], 'label': '1344.11566.56.a1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.a1', 'normal_contained_in': ['8.a1', '28.a1', '28.c1'], 'normal_contains': ['112.a1', '112.b1', '112.c1'], 'normalizer': '1.a1', 'old_label': '56.a1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.a1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762082
    {'ambient': '1344.11566', 'aut_centralizer_order': 672, 'aut_label': '56.b1', 'aut_quo_index': 12, 'aut_stab_index': 6, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '24.g1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.b1', '28.b1', '28.c1', '28.d1', '28.j1', '28.k1'], 'contains': ['112.a1', '112.c1', '112.g1', '168.e1'], 'core': '56.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [2847, 7323, 6837, 8818], 'generators': [225, 10, 16, 448], 'label': '1344.11566.56.b1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.b1', 'normal_contained_in': ['8.b1', '28.b1', '28.c1', '28.d1'], 'normal_contains': ['112.a1', '112.c1', '112.g1'], 'normalizer': '1.a1', 'old_label': '56.b1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.b1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762083
    {'ambient': '1344.11566', 'aut_centralizer_order': 4032, 'aut_label': '56.c1', 'aut_quo_index': 24, 'aut_stab_index': 3, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12096, 'centralizer': '8.f1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.f1', '28.a1', '28.b1', '28.e1', '28.m1', '28.n1', '28.p1', '28.q1'], 'contains': ['112.a1', '112.d1', '112.e1', '168.a1'], 'core': '56.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [3730, 8344, 7142, 9002], 'generators': [2, 8, 448, 16], 'label': '1344.11566.56.c1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.c1', 'normal_contained_in': ['8.f1', '28.a1', '28.b1', '28.e1'], 'normal_contains': ['112.a1', '112.d1', '112.e1', '168.a1'], 'normalizer': '1.a1', 'old_label': '56.c1', 'projective_image': '672.1271', 'quotient_action_image': '8.5', 'quotient_action_kernel': '7.1', 'quotient_action_kernel_order': 7, 'quotient_fusion': None, 'short_label': '56.c1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762084
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '56.d1', 'aut_quo_index': 6, 'aut_stab_index': 3, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '12.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.g1', '28.a1', '28.d1', '28.l1', '28.o1'], 'contains': ['112.a1', '112.f1', '112.g1', '168.i1'], 'core': '56.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [3134, 8584, 6264, 8018], 'generators': [3, 10, 16, 448], 'label': '1344.11566.56.d1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.d1', 'normal_contained_in': ['8.g1', '28.a1', '28.d1'], 'normal_contains': ['112.a1', '112.f1', '112.g1'], 'normalizer': '1.a1', 'old_label': '56.d1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.d1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71762085
    {'ambient': '1344.11566', 'aut_centralizer_order': 2016, 'aut_label': '56.e1', 'aut_quo_index': 12, 'aut_stab_index': 3, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '8.bc1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.i1', '28.c1', '28.d1', '28.e1', '28.r1', '28.s1'], 'contains': ['112.a1', '112.e1', '168.b1'], 'core': '56.e1', 'coset_action_label': None, 'count': 3, 'diagramx': [5507, 8125, 7442, 9479], 'generators': [674, 696, 448, 16], 'label': '1344.11566.56.e1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.e1', 'normal_contained_in': ['8.i1', '28.c1', '28.d1', '28.e1'], 'normal_contains': ['112.a1', '112.e1', '168.b1'], 'normalizer': '1.a1', 'old_label': '56.e1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.e1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762086
    {'ambient': '1344.11566', 'aut_centralizer_order': 4032, 'aut_label': '56.f1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '12.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.l1', '28.a1', '28.u1', '28.v1'], 'contains': ['112.b1', '112.d1', '112.f1', '168.m1'], 'core': '56.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [2433, 6929, 5362, 7607], 'generators': [3, 8, 16, 448], 'label': '1344.11566.56.f1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.f1', 'normal_contained_in': ['8.l1', '28.a1'], 'normal_contains': ['112.b1', '112.d1', '112.f1'], 'normalizer': '1.a1', 'old_label': '56.f1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.f1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71762087
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '56.g1', 'aut_quo_index': 12, 'aut_stab_index': 3, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '24.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.m1', '28.a1', '28.c1', '28.f1', '28.t1', '28.w1'], 'contains': ['112.b1', '112.e1', '112.g1', '168.n1'], 'core': '56.g1', 'coset_action_label': None, 'count': 3, 'diagramx': [4939, 7798, 7310, 8461], 'generators': [227, 696, 16, 448], 'label': '1344.11566.56.g1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.g1', 'normal_contained_in': ['8.m1', '28.a1', '28.c1', '28.f1'], 'normal_contains': ['112.b1', '112.e1', '112.g1'], 'normalizer': '1.a1', 'old_label': '56.g1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.g1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762088
    {'ambient': '1344.11566', 'aut_centralizer_order': 56, 'aut_label': '4.m1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '576.8609', 'aut_weyl_index': 168, 'centralizer': '48.c1', 'complements': ['336.m1', '336.n1'], 'conjugacy_class_count': 3, 'contained_in': ['2.e1', '2.g1'], 'contains': ['8.a1', '8.b1', '8.i1', '8.m1', '8.s1', '12.p1', '28.c1'], 'core': '4.m1', 'coset_action_label': None, 'count': 3, 'diagramx': [5172, 7266, 4030, 7620], 'generators': [1, 448, 680, 192, 674, 16], 'label': '1344.11566.4.m1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.m1', 'normal_contained_in': ['2.e1', '2.g1'], 'normal_contains': ['8.a1', '8.b1', '8.i1', '8.m1', '8.s1', '28.c1'], 'normalizer': '1.a1', 'old_label': '4.m1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.m1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762089
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '56.h1', 'aut_quo_index': 12, 'aut_stab_index': 3, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '24.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.p1', '28.a1', '28.b1', '28.y1', '28.z1', '28.bb1'], 'contains': ['112.c1', '112.d1', '112.g1', '168.q1'], 'core': '56.h1', 'coset_action_label': None, 'count': 3, 'diagramx': [2787, 7489, 6637, 7801], 'generators': [1, 8, 16, 448], 'label': '1344.11566.56.h1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.h1', 'normal_contained_in': ['8.p1', '28.a1', '28.b1'], 'normal_contains': ['112.c1', '112.d1', '112.g1'], 'normalizer': '1.a1', 'old_label': '56.h1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.h1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762090
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '56.i1', 'aut_quo_index': 12, 'aut_stab_index': 3, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '12.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.q1', '28.a1', '28.d1', '28.g1', '28.x1', '28.ba1'], 'contains': ['112.c1', '112.e1', '112.f1', '168.r1'], 'core': '56.i1', 'coset_action_label': None, 'count': 3, 'diagramx': [4297, 8939, 7230, 8655], 'generators': [3, 696, 16, 448], 'label': '1344.11566.56.i1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.i1', 'normal_contained_in': ['8.q1', '28.a1', '28.d1', '28.g1'], 'normal_contains': ['112.c1', '112.e1', '112.f1'], 'normalizer': '1.a1', 'old_label': '56.i1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.i1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71762091
    {'ambient': '1344.11566', 'aut_centralizer_order': 672, 'aut_label': '56.j1', 'aut_quo_index': 12, 'aut_stab_index': 3, 'aut_weyl_group': '48.38', 'aut_weyl_index': 2016, 'centralizer': '24.f1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.s1', '28.b1', '28.c1', '28.g1', '28.bc1', '28.bd1'], 'contains': ['112.c1', '112.e1', '168.t1'], 'core': '56.j1', 'coset_action_label': None, 'count': 3, 'diagramx': [5418, 7961, 7589, 9317], 'generators': [1, 696, 16, 448], 'label': '1344.11566.56.j1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.j1', 'normal_contained_in': ['8.s1', '28.b1', '28.c1', '28.g1'], 'normal_contains': ['112.c1', '112.e1'], 'normalizer': '1.a1', 'old_label': '56.j1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.j1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762092
    {'ambient': '1344.11566', 'aut_centralizer_order': 672, 'aut_label': '56.k1', 'aut_quo_index': 12, 'aut_stab_index': 3, 'aut_weyl_group': '48.38', 'aut_weyl_index': 2016, 'centralizer': '24.g1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.be1', '28.b1', '28.d1', '28.f1', '28.be1', '28.bg1'], 'contains': ['112.e1', '112.g1', '168.bf1'], 'core': '56.k1', 'coset_action_label': None, 'count': 3, 'diagramx': [5083, 8773, 7643, 9186], 'generators': [225, 696, 16, 448], 'label': '1344.11566.56.k1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.k1', 'normal_contained_in': ['8.be1', '28.b1', '28.d1', '28.f1'], 'normal_contains': ['112.e1', '112.g1'], 'normalizer': '1.a1', 'old_label': '56.k1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.k1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762093
    {'ambient': '1344.11566', 'aut_centralizer_order': 2016, 'aut_label': '56.l1', 'aut_quo_index': 12, 'aut_stab_index': 1, 'aut_weyl_group': '48.48', 'aut_weyl_index': 2016, 'centralizer': '8.w1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.bg1', '28.e1', '28.f1', '28.g1', '28.bf1', '28.bh1'], 'contains': ['112.e1', '168.c1'], 'core': '56.l1', 'coset_action_label': None, 'count': 1, 'diagramx': [7887, 9599, 8719, 9810], 'generators': [2, 696, 448, 16], 'label': '1344.11566.56.l1', 'mobius_quo': 0, 'mobius_sub': 56, 'normal_closure': '56.l1', 'normal_contained_in': ['8.bg1', '28.e1', '28.f1', '28.g1'], 'normal_contains': ['112.e1', '168.c1'], 'normalizer': '1.a1', 'old_label': '56.l1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.l1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762094
    {'ambient': '1344.11566', 'aut_centralizer_order': 288, 'aut_label': '56.m1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12096, 'centralizer': '56.bg1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.c1', '28.h1', '28.j1', '28.l1', '28.m1', '28.r1'], 'contains': ['112.a1', '112.h1', '112.j1', '168.f1'], 'core': '112.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [1692, -1, 5868, -1], 'generators': [5, 10, 448, 16], 'label': '1344.11566.56.m1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.m1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.m1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762095
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '56.n1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '168.bg1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.d1', '28.h1', '28.k1', '28.l1', '28.n1', '28.s1'], 'contains': ['112.a1', '112.i1', '112.k1', '168.g1'], 'core': '112.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [1633, -1, 5748, -1], 'generators': [674, 1340, 16, 448], 'label': '1344.11566.56.n1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.n1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.n1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762096
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '56.o1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '48.38', 'aut_weyl_index': 2016, 'centralizer': '168.j1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.e1', '28.i1', '28.j1', '28.o1', '28.p1', '28.s1'], 'contains': ['112.a1', '112.i1', '112.m1', '168.h1'], 'core': '112.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [1522, -1, 6089, -1], 'generators': [674, 28, 16, 448], 'label': '1344.11566.56.o1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.o1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.o1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762097
    {'ambient': '1344.11566', 'aut_centralizer_order': 144, 'aut_label': '56.p1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '56.p1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.h1', '28.i1', '28.k1', '28.o1', '28.q1', '28.r1'], 'contains': ['112.a1', '112.j1', '168.j1'], 'core': '112.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [3815, -1, 6414, -1], 'generators': [885, 10, 448, 16], 'label': '1344.11566.56.p1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.p1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.p1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762098
    {'ambient': '1344.11566', 'aut_centralizer_order': 288, 'aut_label': '56.q1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.j1', '28.h1', '28.t1', '28.u1'], 'contains': ['112.b1', '112.h1', '112.k1', '168.k1'], 'core': '112.b1', 'coset_action_label': None, 'count': 14, 'diagramx': [1341, -1, 5196, -1], 'generators': [5, 30, 16, 448], 'label': '1344.11566.56.q1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.q1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.q1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762099
    {'ambient': '1344.11566', 'aut_centralizer_order': 56, 'aut_label': '4.n1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': '576.8609', 'aut_weyl_index': 168, 'centralizer': '48.c1', 'complements': ['336.m1', '336.n1'], 'conjugacy_class_count': 3, 'contained_in': ['2.f1', '2.g1'], 'contains': ['8.b1', '8.g1', '8.i1', '8.q1', '8.be1', '12.q1', '28.d1'], 'core': '4.n1', 'coset_action_label': None, 'count': 3, 'diagramx': [4430, 8344, 4453, 7070], 'generators': [241, 448, 680, 192, 674, 16], 'label': '1344.11566.4.n1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.n1', 'normal_contained_in': ['2.f1', '2.g1'], 'normal_contains': ['8.b1', '8.g1', '8.i1', '8.q1', '8.be1', '28.d1'], 'normalizer': '1.a1', 'old_label': '4.n1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.n1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762100
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '56.r1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '168.b1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.k1', '28.h1', '28.i1', '28.t1', '28.v1', '28.w1'], 'contains': ['112.b1', '112.i1', '112.j1', '168.l1'], 'core': '112.b1', 'coset_action_label': None, 'count': 42, 'diagramx': [1751, -1, 5802, -1], 'generators': [7, 28, 16, 448], 'label': '1344.11566.56.r1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.r1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.r1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762101
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '56.s1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '168.v1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.n1', '28.h1', '28.j1', '28.x1', '28.y1', '28.bc1'], 'contains': ['112.c1', '112.h1', '112.i1', '112.n1', '168.o1'], 'core': '112.c1', 'coset_action_label': None, 'count': 42, 'diagramx': [1112, -1, 5583, -1], 'generators': [1, 28, 16, 448], 'label': '1344.11566.56.s1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.s1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.s1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762102
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '56.t1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '168.f1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.o1', '28.i1', '28.j1', '28.k1', '28.z1', '28.ba1', '28.bc1', '28.bd1'], 'contains': ['112.c1', '112.i1', '112.j1', '168.p1'], 'core': '112.c1', 'coset_action_label': None, 'count': 84, 'diagramx': [2729, -1, 6703, -1], 'generators': [885, 220, 16, 448], 'label': '1344.11566.56.t1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.t1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.t1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762103
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '56.u1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '168.v1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.r1', '28.h1', '28.k1', '28.x1', '28.bb1', '28.bd1'], 'contains': ['112.c1', '112.j1', '112.k1', '168.s1'], 'core': '112.c1', 'coset_action_label': None, 'count': 42, 'diagramx': [2630, -1, 6175, -1], 'generators': [1, 30, 16, 448], 'label': '1344.11566.56.u1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.r1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.u1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.u1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762104
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '56.v1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '168.bg1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.t1', '28.j1', '28.l1', '28.t1', '28.y1', '28.be1'], 'contains': ['112.g1', '112.h1', '112.i1', '168.u1'], 'core': '112.g1', 'coset_action_label': None, 'count': 42, 'diagramx': [1586, -1, 6016, -1], 'generators': [5, 28, 16, 448], 'label': '1344.11566.56.v1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.t1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.v1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.v1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762105
    {'ambient': '1344.11566', 'aut_centralizer_order': 288, 'aut_label': '56.w1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12096, 'centralizer': '56.w1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.u1', '28.m1', '28.r1', '28.t1', '28.x1', '28.bc1', '28.be1', '28.bf1'], 'contains': ['112.e1', '112.h1', '112.j1', '168.v1'], 'core': '112.e1', 'coset_action_label': None, 'count': 42, 'diagramx': [4707, -1, 7046, -1], 'generators': [5, 696, 448, 16], 'label': '1344.11566.56.w1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.u1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.w1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.w1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762106
    {'ambient': '1344.11566', 'aut_centralizer_order': 288, 'aut_label': '56.x1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '84.bf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.v1', '28.l1', '28.u1', '28.x1'], 'contains': ['112.f1', '112.h1', '112.k1', '168.w1'], 'core': '112.f1', 'coset_action_label': None, 'count': 14, 'diagramx': [2125, -1, 5273, -1], 'generators': [3, 30, 16, 448], 'label': '1344.11566.56.x1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.v1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.x1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.x1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71762107
    {'ambient': '1344.11566', 'aut_centralizer_order': 864, 'aut_label': '56.y1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '56.l1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.w1', '28.m1', '28.u1', '28.y1'], 'contains': ['112.d1', '112.h1', '168.x1'], 'core': '112.d1', 'coset_action_label': None, 'count': 7, 'diagramx': [2046, -1, 5442, -1], 'generators': [5, 8, 448, 16], 'label': '1344.11566.56.y1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.w1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.y1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.y1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762108
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '56.z1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '168.v1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.x1', '28.n1', '28.s1', '28.t1', '28.x1', '28.bd1', '28.bg1', '28.bh1'], 'contains': ['112.e1', '112.i1', '112.k1', '168.y1'], 'core': '112.e1', 'coset_action_label': None, 'count': 42, 'diagramx': [4458, -1, 6958, -1], 'generators': [2, 28, 16, 448], 'label': '1344.11566.56.z1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.x1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.z1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.z1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762109
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '56.ba1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '84.p1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.y1', '28.l1', '28.o1', '28.v1', '28.x1', '28.ba1'], 'contains': ['112.f1', '112.i1', '112.j1', '168.z1'], 'core': '112.f1', 'coset_action_label': None, 'count': 42, 'diagramx': [2925, -1, 5949, -1], 'generators': [3, 28, 16, 448], 'label': '1344.11566.56.ba1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.y1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.ba1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.ba1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71762110
    {'ambient': '1344.11566', 'aut_centralizer_order': 12, 'aut_label': '4.o1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': '1344.11434', 'aut_weyl_index': 72, 'centralizer': '224.a1', 'complements': ['336.m1', '336.l1', '336.n1'], 'conjugacy_class_count': 6, 'contained_in': ['2.e1', '2.f1', '2.h1'], 'contains': ['8.c1', '8.h1', '8.i1', '8.u1', '8.bf1', '12.c1', '28.r1'], 'core': '4.o1', 'coset_action_label': None, 'count': 6, 'diagramx': [5013, 5190, 3596, 5773], 'generators': [5, 192, 680, 448, 674, 16], 'label': '1344.11566.4.o1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.o1', 'normal_contained_in': ['2.e1', '2.f1', '2.h1'], 'normal_contains': ['8.c1', '8.h1', '8.i1', '8.u1', '8.bf1', '12.c1'], 'normalizer': '1.a1', 'old_label': '4.o1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.o1', 'subgroup_fusion': None, 'weyl_group': '224.196'}
  • id: 71762111
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '56.bb1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '168.j1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.z1', '28.j1', '28.k1', '28.o1', '28.w1', '28.z1', '28.be1', '28.bg1'], 'contains': ['112.g1', '112.i1', '112.j1', '168.ba1'], 'core': '112.g1', 'coset_action_label': None, 'count': 84, 'diagramx': [3895, -1, 6770, -1], 'generators': [225, 28, 16, 448], 'label': '1344.11566.56.bb1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.z1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.bb1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.bb1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762112
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '56.bc1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '48.38', 'aut_weyl_index': 2016, 'centralizer': '168.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.ba1', '28.n1', '28.p1', '28.v1', '28.y1', '28.z1'], 'contains': ['112.d1', '112.i1', '168.bb1'], 'core': '112.d1', 'coset_action_label': None, 'count': 21, 'diagramx': [2337, -1, 6340, -1], 'generators': [1318, 8, 16, 448], 'label': '1344.11566.56.bc1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.ba1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.bc1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.bc1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762113
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '56.bd1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '48.38', 'aut_weyl_index': 2016, 'centralizer': '168.f1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.bb1', '28.p1', '28.s1', '28.w1', '28.ba1', '28.bc1', '28.be1', '28.bh1'], 'contains': ['112.e1', '112.i1', '168.bc1'], 'core': '112.e1', 'coset_action_label': None, 'count': 42, 'diagramx': [5565, -1, 7375, -1], 'generators': [2, 1340, 16, 448], 'label': '1344.11566.56.bd1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.bb1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.bd1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.bd1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762114
    {'ambient': '1344.11566', 'aut_centralizer_order': 288, 'aut_label': '56.be1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '56.e1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.bc1', '28.m1', '28.q1', '28.v1', '28.z1', '28.bb1'], 'contains': ['112.d1', '112.j1', '168.bd1'], 'core': '112.d1', 'coset_action_label': None, 'count': 21, 'diagramx': [3055, -1, 6557, -1], 'generators': [7, 8, 448, 16], 'label': '1344.11566.56.be1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.bc1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.be1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.be1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762115
    {'ambient': '1344.11566', 'aut_centralizer_order': 288, 'aut_label': '56.bf1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '48.38', 'aut_weyl_index': 2016, 'centralizer': '168.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bd1', '28.n1', '28.u1', '28.bb1'], 'contains': ['112.d1', '112.k1', '168.be1'], 'core': '112.d1', 'coset_action_label': None, 'count': 7, 'diagramx': [2231, -1, 5510, -1], 'generators': [6, 8, 16, 448], 'label': '1344.11566.56.bf1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.bd1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.bf1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.bf1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762116
    {'ambient': '1344.11566', 'aut_centralizer_order': 144, 'aut_label': '56.bg1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '56.m1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.bf1', '28.q1', '28.r1', '28.w1', '28.ba1', '28.bd1', '28.bf1', '28.bg1'], 'contains': ['112.e1', '112.j1', '168.bg1'], 'core': '112.e1', 'coset_action_label': None, 'count': 42, 'diagramx': [5143, -1, 7523, -1], 'generators': [7, 696, 448, 16], 'label': '1344.11566.56.bg1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.bf1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.bg1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.bg1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762117
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '56.bh1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '24.14', 'aut_weyl_index': 4032, 'centralizer': '168.bg1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.bh1', '28.k1', '28.l1', '28.t1', '28.bb1', '28.bg1'], 'contains': ['112.g1', '112.j1', '112.k1', '168.bh1'], 'core': '112.g1', 'coset_action_label': None, 'count': 42, 'diagramx': [3511, -1, 6489, -1], 'generators': [225, 30, 16, 448], 'label': '1344.11566.56.bh1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.bh1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '56.bh1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56.bh1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762118
    {'ambient': '1344.11566', 'aut_centralizer_order': 8064, 'aut_label': '64.a1', 'aut_quo_index': 60, 'aut_stab_index': 1, 'aut_weyl_group': '12.5', 'aut_weyl_index': 8064, 'centralizer': '4.q1', 'complements': ['21.a1'], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '32.b1', '32.c1', '32.d1', '32.e1', '32.f1'], 'contains': ['192.a1', '448.a1'], 'core': '64.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [279, 5356, 2571, 6393], 'generators': [448, 192], 'label': '1344.11566.64.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1'], 'normal_contains': ['192.a1', '448.a1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': '1344.11566', 'quotient_action_image': '4.2', 'quotient_action_kernel': '16.13', 'quotient_action_kernel_order': 16, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762119
    {'ambient': '1344.11566', 'aut_centralizer_order': 2016, 'aut_label': '84.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': '48.48', 'aut_weyl_index': 2016, 'centralizer': '8.l1', 'complements': ['16.n1'], 'conjugacy_class_count': 1, 'contained_in': ['12.d1', '28.e1', '42.g1', '42.h1', '42.i1'], 'contains': ['168.a1', '168.b1', '168.c1'], 'core': '84.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9441, 9709, 9761, 9644], 'generators': [2, 8, 672], 'label': '1344.11566.84.a1', 'mobius_quo': 0, 'mobius_sub': 42, 'normal_closure': '84.a1', 'normal_contained_in': ['12.d1', '28.e1'], 'normal_contains': ['168.a1', '168.b1', '168.c1'], 'normalizer': '1.a1', 'old_label': '84.a1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '21.2', 'quotient_action_kernel_order': 21, 'quotient_fusion': None, 'short_label': '84.a1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762120
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '84.b1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12096, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.f1', '28.h1', '42.a1', '42.e1'], 'contains': ['168.d1', '168.f1', '168.g1', '168.k1', '168.l1', '168.o1', '168.s1'], 'core': '336.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [3174, -1, 7711, -1], 'generators': [5, 674, 1148], 'label': '1344.11566.84.b1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.b1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.b1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762121
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '4.p1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '672.a1', 'complements': ['336.n1', '336.l1'], 'conjugacy_class_count': 6, 'contained_in': ['2.e1', '2.f1', '2.i1'], 'contains': ['8.d1', '8.e1', '8.i1', '8.x1', '8.bb1', '12.r1', '28.s1'], 'core': '4.p1', 'coset_action_label': None, 'count': 6, 'diagramx': [4779, 4666, 3162, 3719], 'generators': [2, 192, 672, 16, 28, 448], 'label': '1344.11566.4.p1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.p1', 'normal_contained_in': ['2.e1', '2.f1', '2.i1'], 'normal_contains': ['8.d1', '8.e1', '8.i1', '8.x1', '8.bb1'], 'normalizer': '1.a1', 'old_label': '4.p1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.p1', 'subgroup_fusion': None, 'weyl_group': '672.1271'}
  • id: 71762122
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '84.c1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.g1', '28.i1', '42.b1', '42.e1'], 'contains': ['168.d1', '168.h1', '168.j1', '168.l1', '168.p1'], 'core': '336.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [4822, -1, 7981, -1], 'generators': [869, 674, 220], 'label': '1344.11566.84.c1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.c1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.c1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762123
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '84.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12096, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.h1', '28.a1', '42.a1', '42.b1', '42.g1'], 'contains': ['168.a1', '168.d1', '168.i1', '168.m1', '168.n1', '168.q1', '168.r1'], 'core': '168.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8268, -1, 8632, -1], 'generators': [1, 2, 8], 'label': '1344.11566.84.d1', 'mobius_quo': None, 'mobius_sub': 14, 'normal_closure': '28.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '84.d1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762124
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '84.e1', 'aut_quo_index': None, 'aut_stab_index': 252, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12096, 'centralizer': '168.z1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['12.i1', '28.j1', '42.c1', '42.e1', '42.f1'], 'contains': ['168.e1', '168.f1', '168.h1', '168.o1', '168.p1', '168.u1', '168.ba1'], 'core': '336.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [6273, -1, 8236, -1], 'generators': [1, 674, 28], 'label': '1344.11566.84.e1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.e1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.e1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762125
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '84.f1', 'aut_quo_index': None, 'aut_stab_index': 252, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12096, 'centralizer': '168.z1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['12.j1', '28.k1', '42.d1', '42.e1', '42.f1'], 'contains': ['168.e1', '168.g1', '168.j1', '168.p1', '168.s1', '168.ba1', '168.bh1'], 'core': '336.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [7473, -1, 8396, -1], 'generators': [1, 674, 892], 'label': '1344.11566.84.f1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.f1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.f1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762126
    {'ambient': '1344.11566', 'aut_centralizer_order': 672, 'aut_label': '84.g1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '24.q1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.k1', '28.b1', '42.c1', '42.d1', '42.g1'], 'contains': ['168.a1', '168.e1', '168.q1', '168.t1', '168.bf1'], 'core': '168.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7911, -1, 9653, -1], 'generators': [225, 2, 8], 'label': '1344.11566.84.g1', 'mobius_quo': None, 'mobius_sub': 14, 'normal_closure': '28.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '84.g1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.g1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762127
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '84.h1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12096, 'centralizer': '84.z1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.l1', '28.l1', '42.a1', '42.f1'], 'contains': ['168.f1', '168.g1', '168.i1', '168.u1', '168.w1', '168.z1', '168.bh1'], 'core': '336.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [6869, -1, 7779, -1], 'generators': [225, 674, 444], 'label': '1344.11566.84.h1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.h1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762128
    {'ambient': '1344.11566', 'aut_centralizer_order': 288, 'aut_label': '84.i1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '56.i1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.a1', '28.m1', '42.a1', '42.c1', '42.h1'], 'contains': ['168.a1', '168.f1', '168.v1', '168.x1', '168.bd1'], 'core': '168.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [7768, -1, 8559, -1], 'generators': [5, 2, 8], 'label': '1344.11566.84.i1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '84.i1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.i1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762129
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '84.j1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.m1', '28.n1', '42.a1', '42.d1', '42.i1'], 'contains': ['168.a1', '168.g1', '168.y1', '168.bb1', '168.be1'], 'core': '168.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [6441, -1, 8450, -1], 'generators': [6, 8, 672], 'label': '1344.11566.84.j1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.j1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.j1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762130
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '84.k1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '84.k1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.n1', '28.o1', '42.b1', '42.f1'], 'contains': ['168.h1', '168.i1', '168.j1', '168.z1', '168.ba1'], 'core': '336.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [8570, -1, 8068, -1], 'generators': [225, 674, 924], 'label': '1344.11566.84.k1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.k1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.k1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762131
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '84.l1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '32.49', 'aut_weyl_index': 3024, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.o1', '28.p1', '42.b1', '42.c1', '42.i1'], 'contains': ['168.a1', '168.h1', '168.bb1', '168.bc1'], 'core': '168.a1', 'coset_action_label': None, 'count': 63, 'diagramx': [7696, -1, 8935, -1], 'generators': [2, 1316, 8], 'label': '1344.11566.84.l1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.l1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.l1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762132
    {'ambient': '1344.11566', 'aut_centralizer_order': 2, 'aut_label': '2.b1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '336.a1', 'complements': ['672.b1', '672.f1', '672.d1', '672.e1'], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '4.j1', '4.k1', '4.l1', '4.t1', '4.u1', '4.y1', '4.z1', '6.c1', '14.c1'], 'core': '2.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [3240, 5534, 3307, 4651], 'generators': [1, 448, 1316, 8, 2, 192, 16], 'label': '1344.11566.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '4.j1', '4.k1', '4.l1', '4.t1', '4.u1', '4.y1', '4.z1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': '672.1271', 'quotient_action_image': '1.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762133
    {'ambient': '1344.11566', 'aut_centralizer_order': 168, 'aut_label': '4.q1', 'aut_quo_index': 6, 'aut_stab_index': 1, 'aut_weyl_group': '576.8668', 'aut_weyl_index': 168, 'centralizer': '16.f1', 'complements': ['336.n1'], 'conjugacy_class_count': 1, 'contained_in': ['2.g1', '2.h1', '2.i1'], 'contains': ['8.f1', '8.i1', '8.bg1', '12.d1', '28.e1'], 'core': '4.q1', 'coset_action_label': None, 'count': 1, 'diagramx': [5734, 9497, 5105, 8663], 'generators': [2, 16, 672, 448, 8, 192], 'label': '1344.11566.4.q1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.q1', 'normal_contained_in': ['2.g1', '2.h1', '2.i1'], 'normal_contains': ['8.f1', '8.i1', '8.bg1', '12.d1', '28.e1'], 'normalizer': '1.a1', 'old_label': '4.q1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.q1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 71762134
    {'ambient': '1344.11566', 'aut_centralizer_order': 144, 'aut_label': '84.m1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '32.49', 'aut_weyl_index': 3024, 'centralizer': '56.d1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.b1', '28.q1', '42.b1', '42.d1', '42.h1'], 'contains': ['168.a1', '168.j1', '168.bd1', '168.bg1'], 'core': '168.a1', 'coset_action_label': None, 'count': 21, 'diagramx': [8364, -1, 9179, -1], 'generators': [869, 2, 8], 'label': '1344.11566.84.m1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '84.m1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.m1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762135
    {'ambient': '1344.11566', 'aut_centralizer_order': 672, 'aut_label': '84.n1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '24.q1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.p1', '28.c1', '42.e1', '42.g1'], 'contains': ['168.b1', '168.d1', '168.e1', '168.n1', '168.t1'], 'core': '168.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [7567, -1, 9341, -1], 'generators': [1, 674, 680], 'label': '1344.11566.84.n1', 'mobius_quo': None, 'mobius_sub': 14, 'normal_closure': '28.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '84.n1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.n1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762136
    {'ambient': '1344.11566', 'aut_centralizer_order': 672, 'aut_label': '84.o1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '12.u1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.q1', '28.d1', '42.f1', '42.g1'], 'contains': ['168.b1', '168.e1', '168.i1', '168.r1', '168.bf1'], 'core': '168.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [8875, -1, 9517, -1], 'generators': [225, 674, 680], 'label': '1344.11566.84.o1', 'mobius_quo': None, 'mobius_sub': 14, 'normal_closure': '28.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '84.o1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.o1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762137
    {'ambient': '1344.11566', 'aut_centralizer_order': 144, 'aut_label': '84.p1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '56.ba1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.c1', '28.r1', '42.e1', '42.f1', '42.h1'], 'contains': ['168.b1', '168.f1', '168.j1', '168.v1', '168.bg1'], 'core': '168.b1', 'coset_action_label': None, 'count': 42, 'diagramx': [9054, -1, 9112, -1], 'generators': [5, 674, 680], 'label': '1344.11566.84.p1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '84.p1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.p1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762138
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '84.q1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '168.z1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.r1', '28.s1', '42.e1', '42.f1', '42.i1'], 'contains': ['168.b1', '168.g1', '168.h1', '168.y1', '168.bc1'], 'core': '168.b1', 'coset_action_label': None, 'count': 126, 'diagramx': [7176, -1, 8855, -1], 'generators': [2, 28, 672], 'label': '1344.11566.84.q1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.q1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.q1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762139
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '84.r1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12096, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.s1', '28.t1', '42.a1', '42.e1', '42.j1'], 'contains': ['168.k1', '168.l1', '168.n1', '168.u1', '168.v1', '168.y1', '168.bh1'], 'core': '336.c1', 'coset_action_label': None, 'count': 126, 'diagramx': [6615, -1, 8504, -1], 'generators': [5, 2, 28], 'label': '1344.11566.84.r1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.r1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.r1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.r1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762140
    {'ambient': '1344.11566', 'aut_centralizer_order': 288, 'aut_label': '84.s1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '84.bd1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.t1', '28.u1', '42.a1'], 'contains': ['168.k1', '168.m1', '168.w1', '168.x1', '168.be1'], 'core': '336.b1', 'coset_action_label': None, 'count': 21, 'diagramx': [4641, -1, 6891, -1], 'generators': [5, 6, 8], 'label': '1344.11566.84.s1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.s1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.s1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.s1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762141
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '84.t1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '84.o1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.u1', '28.v1', '42.a1', '42.b1'], 'contains': ['168.l1', '168.m1', '168.z1', '168.bb1', '168.bd1'], 'core': '336.b1', 'coset_action_label': None, 'count': 63, 'diagramx': [6515, -1, 7833, -1], 'generators': [869, 1318, 8], 'label': '1344.11566.84.t1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.t1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.t1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.t1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762142
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '84.u1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.v1', '28.w1', '42.b1', '42.e1', '42.j1'], 'contains': ['168.l1', '168.n1', '168.ba1', '168.bc1', '168.bg1'], 'core': '336.c1', 'coset_action_label': None, 'count': 126, 'diagramx': [9151, -1, 9058, -1], 'generators': [869, 2, 1340], 'label': '1344.11566.84.u1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.u1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.u1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.u1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762143
    {'ambient': '1344.11566', 'aut_centralizer_order': 672, 'aut_label': '84.v1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '48.48', 'aut_weyl_index': 2016, 'centralizer': '24.q1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.w1', '28.f1', '42.g1', '42.j1'], 'contains': ['168.c1', '168.n1', '168.bf1'], 'core': '168.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [9774, -1, 9965, -1], 'generators': [225, 2, 680], 'label': '1344.11566.84.v1', 'mobius_quo': None, 'mobius_sub': 14, 'normal_closure': '28.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '84.v1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.v1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762144
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '4.r1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': '2304.nu', 'aut_weyl_index': 48, 'centralizer': '336.c1', 'complements': ['336.m1', '336.n1'], 'conjugacy_class_count': 6, 'contained_in': ['2.a1', '2.e1', '2.j1'], 'contains': ['8.j1', '8.k1', '8.m1', '8.t1', '8.u1', '8.x1', '8.bh1', '12.s1', '28.t1'], 'core': '4.r1', 'coset_action_label': None, 'count': 6, 'diagramx': [3819, 1674, 2564, 979], 'generators': [5, 192, 28, 16, 2, 448], 'label': '1344.11566.4.r1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.r1', 'normal_contained_in': ['2.a1', '2.e1', '2.j1'], 'normal_contains': ['8.j1', '8.k1', '8.m1', '8.t1', '8.u1', '8.x1', '8.bh1'], 'normalizer': '1.a1', 'old_label': '4.r1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.r1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762145
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '84.w1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '8.5', 'aut_weyl_index': 12096, 'centralizer': '84.w1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.x1', '28.x1', '42.a1', '42.f1', '42.k1'], 'contains': ['168.o1', '168.r1', '168.s1', '168.v1', '168.w1', '168.y1', '168.z1'], 'core': '336.c1', 'coset_action_label': None, 'count': 126, 'diagramx': [6684, -1, 8322, -1], 'generators': [1, 2, 28], 'label': '1344.11566.84.w1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.w1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.w1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.w1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762146
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '84.x1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.y1', '28.y1', '42.a1', '42.c1'], 'contains': ['168.o1', '168.q1', '168.u1', '168.x1', '168.bb1'], 'core': '336.b1', 'coset_action_label': None, 'count': 63, 'diagramx': [3708, -1, 7901, -1], 'generators': [5, 1126, 8], 'label': '1344.11566.84.x1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.x1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.x1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.x1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762147
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '84.y1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.z1', '28.z1', '42.b1', '42.c1', '42.d1'], 'contains': ['168.p1', '168.q1', '168.ba1', '168.bb1', '168.bd1'], 'core': '336.b1', 'coset_action_label': None, 'count': 126, 'diagramx': [7290, -1, 8787, -1], 'generators': [1, 870, 8], 'label': '1344.11566.84.y1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.y1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.y1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.y1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762148
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '84.z1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '84.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.ba1', '28.ba1', '42.b1', '42.f1', '42.k1'], 'contains': ['168.p1', '168.r1', '168.z1', '168.bc1', '168.bg1'], 'core': '336.c1', 'coset_action_label': None, 'count': 126, 'diagramx': [8502, -1, 9003, -1], 'generators': [1, 2, 892], 'label': '1344.11566.84.z1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.z1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.z1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.z1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762149
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '84.ba1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['12.bb1', '28.bb1', '42.a1', '42.d1'], 'contains': ['168.q1', '168.s1', '168.bd1', '168.be1', '168.bh1'], 'core': '336.b1', 'coset_action_label': None, 'count': 63, 'diagramx': [6810, -1, 8155, -1], 'generators': [1, 6, 8], 'label': '1344.11566.84.ba1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.ba1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.ba1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.ba1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762150
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '84.bb1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '168.w1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.bc1', '28.bc1', '42.c1', '42.e1', '42.k1'], 'contains': ['168.o1', '168.p1', '168.t1', '168.v1', '168.bc1'], 'core': '336.c1', 'coset_action_label': None, 'count': 126, 'diagramx': [7394, -1, 9261, -1], 'generators': [5, 2, 1148], 'label': '1344.11566.84.bb1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.bb1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.bb1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.bb1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762151
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '84.bc1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '168.w1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.bd1', '28.bd1', '42.d1', '42.e1', '42.k1'], 'contains': ['168.p1', '168.s1', '168.t1', '168.y1', '168.bg1'], 'core': '336.c1', 'coset_action_label': None, 'count': 126, 'diagramx': [6749, -1, 9409, -1], 'generators': [869, 2, 220], 'label': '1344.11566.84.bc1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.bc1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.bc1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.bc1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762152
    {'ambient': '1344.11566', 'aut_centralizer_order': 672, 'aut_label': '84.bd1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '48.48', 'aut_weyl_index': 2016, 'centralizer': '12.t1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.be1', '28.g1', '42.g1', '42.k1'], 'contains': ['168.c1', '168.r1', '168.t1'], 'core': '168.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [9370, -1, 9897, -1], 'generators': [1, 2, 680], 'label': '1344.11566.84.bd1', 'mobius_quo': None, 'mobius_sub': 14, 'normal_closure': '28.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '84.bd1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.bd1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762153
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '84.be1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '168.z1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.bf1', '28.be1', '42.c1', '42.f1', '42.j1'], 'contains': ['168.u1', '168.v1', '168.ba1', '168.bc1', '168.bf1'], 'core': '336.c1', 'coset_action_label': None, 'count': 126, 'diagramx': [9103, -1, 9463, -1], 'generators': [225, 2, 444], 'label': '1344.11566.84.be1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.be1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.be1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.be1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762154
    {'ambient': '1344.11566', 'aut_centralizer_order': 144, 'aut_label': '84.bf1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '48.48', 'aut_weyl_index': 2016, 'centralizer': '56.x1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.e1', '28.bf1', '42.h1', '42.j1', '42.k1'], 'contains': ['168.c1', '168.v1', '168.bg1'], 'core': '168.c1', 'coset_action_label': None, 'count': 14, 'diagramx': [9644, -1, 9829, -1], 'generators': [5, 2, 680], 'label': '1344.11566.84.bf1', 'mobius_quo': None, 'mobius_sub': 6, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '84.bf1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.bf1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762155
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '4.s1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '168.c1', 'complements': ['336.m1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1'], 'contains': ['8.j1', '8.l1', '8.v1', '8.w1', '8.bd1', '12.t1', '28.u1'], 'core': '4.s1', 'coset_action_label': None, 'count': 1, 'diagramx': [1650, 576, 349, 73], 'generators': [5, 192, 8, 16, 6, 448], 'label': '1344.11566.4.s1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.s1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.j1', '8.l1', '8.v1', '8.w1', '8.bd1'], 'normalizer': '1.a1', 'old_label': '4.s1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.s1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 71762156
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '84.bg1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '16.11', 'aut_weyl_index': 6048, 'centralizer': '168.z1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['12.bg1', '28.bg1', '42.d1', '42.f1', '42.j1'], 'contains': ['168.y1', '168.ba1', '168.bf1', '168.bg1', '168.bh1'], 'core': '336.c1', 'coset_action_label': None, 'count': 126, 'diagramx': [9270, -1, 9585, -1], 'generators': [225, 2, 924], 'label': '1344.11566.84.bg1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.bg1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.bg1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.bg1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762157
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '84.bh1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '48.48', 'aut_weyl_index': 2016, 'centralizer': '168.w1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.bh1', '28.bh1', '42.i1', '42.j1', '42.k1'], 'contains': ['168.c1', '168.y1', '168.bc1'], 'core': '168.c1', 'coset_action_label': None, 'count': 42, 'diagramx': [8822, -1, 9707, -1], 'generators': [2, 28, 696], 'label': '1344.11566.84.bh1', 'mobius_quo': None, 'mobius_sub': 2, 'normal_closure': '4.bh1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '84.bh1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84.bh1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762158
    {'ambient': '1344.11566', 'aut_centralizer_order': 16128, 'aut_label': '96.a1', 'aut_quo_index': 26880, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 16128, 'centralizer': '2.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '48.a1', '48.b1', '48.c1', '48.d1', '48.e1', '48.f1', '48.g1', '48.h1', '48.i1', '48.j1', '48.k1'], 'contains': ['192.a1', '672.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5774, 6554, 3288, 6520], 'generators': [16, 192], 'label': '1344.11566.96.a1', 'mobius_quo': 1, 'mobius_sub': 3072, 'normal_closure': '96.a1', 'normal_contained_in': ['32.a1', '48.a1', '48.b1', '48.c1', '48.d1', '48.e1'], 'normal_contains': ['192.a1', '672.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '48.51', 'quotient_action_kernel_order': 48, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762159
    {'ambient': '1344.11566', 'aut_centralizer_order': 2688, 'aut_label': '96.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 16128, 'centralizer': '4.c1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['32.b1', '48.a1', '48.l1', '48.m1'], 'contains': ['192.a1', '672.b1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1320, -1, 2769, -1], 'generators': [10, 192], 'label': '1344.11566.96.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '96.b1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762160
    {'ambient': '1344.11566', 'aut_centralizer_order': 2688, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.2', 'aut_weyl_index': 16128, 'centralizer': '6.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1', '48.f1', '48.l1'], 'contains': ['192.a1', '672.c1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [525, -1, 2675, -1], 'generators': [11, 192], 'label': '1344.11566.96.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.h1', 'old_label': '96.c1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71762161
    {'ambient': '1344.11566', 'aut_centralizer_order': 896, 'aut_label': '96.d1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '6.2', 'aut_weyl_index': 16128, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['32.d1', '48.g1', '48.l1', '48.n1'], 'contains': ['192.a1', '672.d1'], 'core': '192.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [368, -1, 2623, -1], 'generators': [1, 192], 'label': '1344.11566.96.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '96.d1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762162
    {'ambient': '1344.11566', 'aut_centralizer_order': 576, 'aut_label': '96.e1', 'aut_quo_index': None, 'aut_stab_index': 4, 'aut_weyl_group': '42.1', 'aut_weyl_index': 2304, 'centralizer': '28.g1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.e1', '48.b1', '48.n1'], 'contains': ['192.a1', '672.e1'], 'core': '192.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [290, -1, 2524, -1], 'generators': [5, 192], 'label': '1344.11566.96.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.k1', 'old_label': '96.e1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.e1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 71762163
    {'ambient': '1344.11566', 'aut_centralizer_order': 64, 'aut_label': '96.f1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '42.1', 'aut_weyl_index': 2304, 'centralizer': '84.o1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['32.f1', '48.h1', '48.m1', '48.n1'], 'contains': ['192.a1', '672.f1'], 'core': '192.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [1278, -1, 2722, -1], 'generators': [28, 192], 'label': '1344.11566.96.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '96.f1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.f1', 'subgroup_fusion': None, 'weyl_group': '14.1'}
  • id: 71762164
    {'ambient': '1344.11566', 'aut_centralizer_order': 8064, 'aut_label': '112.a1', 'aut_quo_index': 336, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '4.l1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.a1', '56.a1', '56.b1', '56.c1', '56.d1', '56.e1', '56.m1', '56.n1', '56.o1', '56.p1'], 'contains': ['224.a1', '224.b1', '336.a1'], 'core': '112.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [1903, 7523, 6140, 8349], 'generators': [10, 16, 448], 'label': '1344.11566.112.a1', 'mobius_quo': 0, 'mobius_sub': -448, 'normal_closure': '112.a1', 'normal_contained_in': ['16.a1', '56.a1', '56.b1', '56.c1', '56.d1', '56.e1'], 'normal_contains': ['224.a1', '336.a1'], 'normalizer': '1.a1', 'old_label': '112.a1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '28.3', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '112.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762165
    {'ambient': '1344.11566', 'aut_centralizer_order': 8064, 'aut_label': '112.b1', 'aut_quo_index': 112, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 8064, 'centralizer': '12.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.b1', '56.a1', '56.f1', '56.g1', '56.q1', '56.r1'], 'contains': ['224.a1', '224.c1', '336.d1'], 'core': '112.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [1149, 6960, 5598, 7964], 'generators': [11, 16, 448], 'label': '1344.11566.112.b1', 'mobius_quo': 0, 'mobius_sub': -448, 'normal_closure': '112.b1', 'normal_contained_in': ['16.b1', '56.a1', '56.f1', '56.g1'], 'normal_contains': ['224.a1'], 'normalizer': '1.a1', 'old_label': '112.b1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.b1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71762166
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '4.t1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '168.b1', 'complements': ['336.m1', '336.n1'], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.k1', '8.l1', '8.y1', '8.ba1', '8.bc1', '12.u1', '28.v1'], 'core': '4.t1', 'coset_action_label': None, 'count': 3, 'diagramx': [2103, 3821, 1648, 2246], 'generators': [885, 192, 8, 16, 1318, 448], 'label': '1344.11566.4.t1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.t1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.k1', '8.l1', '8.y1', '8.ba1', '8.bc1'], 'normalizer': '1.a1', 'old_label': '4.t1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '2.1', 'quotient_action_kernel_order': 2, 'quotient_fusion': None, 'short_label': '4.t1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 71762167
    {'ambient': '1344.11566', 'aut_centralizer_order': 2688, 'aut_label': '112.c1', 'aut_quo_index': 336, 'aut_stab_index': 3, 'aut_weyl_group': '12.4', 'aut_weyl_index': 8064, 'centralizer': '12.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.c1', '56.a1', '56.b1', '56.h1', '56.i1', '56.j1', '56.s1', '56.t1', '56.u1'], 'contains': ['224.a1', '224.d1', '336.e1'], 'core': '112.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [2186, 7246, 6525, 8199], 'generators': [1, 16, 448], 'label': '1344.11566.112.c1', 'mobius_quo': 0, 'mobius_sub': -448, 'normal_closure': '112.c1', 'normal_contained_in': ['16.c1', '56.a1', '56.b1', '56.h1', '56.i1', '56.j1'], 'normal_contains': ['224.a1'], 'normalizer': '1.a1', 'old_label': '112.c1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.c1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71762168
    {'ambient': '1344.11566', 'aut_centralizer_order': 24192, 'aut_label': '112.d1', 'aut_quo_index': 224, 'aut_stab_index': 1, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '4.q1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.f1', '56.c1', '56.f1', '56.h1', '56.y1', '56.bc1', '56.be1', '56.bf1'], 'contains': ['224.a1', '336.b1'], 'core': '112.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [2566, 7090, 6032, 7717], 'generators': [8, 448, 16], 'label': '1344.11566.112.d1', 'mobius_quo': 0, 'mobius_sub': -448, 'normal_closure': '112.d1', 'normal_contained_in': ['16.f1', '56.c1', '56.f1', '56.h1'], 'normal_contains': ['224.a1', '336.b1'], 'normalizer': '1.a1', 'old_label': '112.d1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '28.4', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '112.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762169
    {'ambient': '1344.11566', 'aut_centralizer_order': 8064, 'aut_label': '112.e1', 'aut_quo_index': 672, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '4.h1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.g1', '56.c1', '56.e1', '56.g1', '56.i1', '56.j1', '56.k1', '56.l1', '56.w1', '56.z1', '56.bd1', '56.bg1'], 'contains': ['224.a1', '336.c1'], 'core': '112.e1', 'coset_action_label': None, 'count': 3, 'diagramx': [5162, 8546, 7380, 8705], 'generators': [696, 448, 16], 'label': '1344.11566.112.e1', 'mobius_quo': 0, 'mobius_sub': -448, 'normal_closure': '112.e1', 'normal_contained_in': ['16.g1', '56.c1', '56.e1', '56.g1', '56.i1', '56.j1', '56.k1', '56.l1'], 'normal_contains': ['224.a1', '336.c1'], 'normalizer': '1.a1', 'old_label': '112.e1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '28.3', 'quotient_action_kernel_order': 28, 'quotient_fusion': None, 'short_label': '112.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762170
    {'ambient': '1344.11566', 'aut_centralizer_order': 8064, 'aut_label': '112.f1', 'aut_quo_index': 112, 'aut_stab_index': 1, 'aut_weyl_group': '12.4', 'aut_weyl_index': 8064, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.h1', '56.d1', '56.f1', '56.i1', '56.x1', '56.ba1'], 'contains': ['224.a1', '336.h1'], 'core': '112.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [2813, 7905, 5959, 7846], 'generators': [3, 16, 448], 'label': '1344.11566.112.f1', 'mobius_quo': 0, 'mobius_sub': -448, 'normal_closure': '112.f1', 'normal_contained_in': ['16.h1', '56.d1', '56.f1', '56.i1'], 'normal_contains': ['224.a1'], 'normalizer': '1.a1', 'old_label': '112.f1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.f1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71762171
    {'ambient': '1344.11566', 'aut_centralizer_order': 2688, 'aut_label': '112.g1', 'aut_quo_index': 336, 'aut_stab_index': 3, 'aut_weyl_group': '12.4', 'aut_weyl_index': 8064, 'centralizer': '12.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.i1', '56.b1', '56.d1', '56.g1', '56.h1', '56.k1', '56.v1', '56.bb1', '56.bh1'], 'contains': ['224.a1', '336.i1'], 'core': '112.g1', 'coset_action_label': None, 'count': 3, 'diagramx': [3793, 7771, 6637, 8081], 'generators': [9, 16, 448], 'label': '1344.11566.112.g1', 'mobius_quo': 0, 'mobius_sub': -448, 'normal_closure': '112.g1', 'normal_contained_in': ['16.i1', '56.b1', '56.d1', '56.g1', '56.h1', '56.k1'], 'normal_contains': ['224.a1'], 'normalizer': '1.a1', 'old_label': '112.g1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.g1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71762172
    {'ambient': '1344.11566', 'aut_centralizer_order': 1728, 'aut_label': '112.h1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '28.bf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '56.m1', '56.q1', '56.s1', '56.v1', '56.w1', '56.x1', '56.y1'], 'contains': ['224.a1', '224.e1', '336.f1'], 'core': '224.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [1203, -1, 5660, -1], 'generators': [5, 16, 448], 'label': '1344.11566.112.h1', 'mobius_quo': None, 'mobius_sub': -64, 'normal_closure': '16.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '112.h1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762173
    {'ambient': '1344.11566', 'aut_centralizer_order': 192, 'aut_label': '112.i1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '12.4', 'aut_weyl_index': 8064, 'centralizer': '84.p1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.e1', '56.n1', '56.o1', '56.r1', '56.s1', '56.t1', '56.v1', '56.z1', '56.ba1', '56.bb1', '56.bc1', '56.bd1'], 'contains': ['224.a1', '224.f1', '336.g1'], 'core': '224.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [1726, -1, 6079, -1], 'generators': [28, 16, 448], 'label': '1344.11566.112.i1', 'mobius_quo': None, 'mobius_sub': -64, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '112.i1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.i1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71762174
    {'ambient': '1344.11566', 'aut_centralizer_order': 576, 'aut_label': '112.j1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '28.r1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.j1', '56.m1', '56.p1', '56.r1', '56.t1', '56.u1', '56.w1', '56.ba1', '56.bb1', '56.be1', '56.bg1', '56.bh1'], 'contains': ['224.a1', '336.j1'], 'core': '224.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [3357, -1, 6452, -1], 'generators': [7, 448, 16], 'label': '1344.11566.112.j1', 'mobius_quo': None, 'mobius_sub': -64, 'normal_closure': '16.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '112.j1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.j1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762175
    {'ambient': '1344.11566', 'aut_centralizer_order': 576, 'aut_label': '112.k1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '12.4', 'aut_weyl_index': 8064, 'centralizer': '84.bf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.k1', '56.n1', '56.q1', '56.u1', '56.x1', '56.z1', '56.bf1', '56.bh1'], 'contains': ['224.a1', '336.k1'], 'core': '224.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [2265, -1, 5826, -1], 'generators': [30, 16, 448], 'label': '1344.11566.112.k1', 'mobius_quo': None, 'mobius_sub': -64, 'normal_closure': '16.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '112.k1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.k1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71762176
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '112.l1', 'aut_quo_index': None, 'aut_stab_index': 12, 'aut_weyl_group': '6.1', 'aut_weyl_index': 16128, 'centralizer': '24.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.l1', '56.a1'], 'contains': ['224.b1', '224.c1', '224.d1', '336.l1'], 'core': '448.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [171, -1, 2862, -1], 'generators': [1, 10, 448], 'label': '1344.11566.112.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.c1', 'old_label': '112.l1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.l1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71762177
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '4.u1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': '2304.nu', 'aut_weyl_index': 24, 'centralizer': '336.a1', 'complements': ['336.m1', '336.n1'], 'conjugacy_class_count': 6, 'contained_in': ['2.b1', '2.e1', '2.j1'], 'contains': ['8.k1', '8.m1', '8.z1', '8.bb1', '8.bf1', '12.v1', '28.w1'], 'core': '4.u1', 'coset_action_label': None, 'count': 6, 'diagramx': [5280, 5459, 3487, 4978], 'generators': [885, 192, 1340, 16, 2, 448], 'label': '1344.11566.4.u1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.u1', 'normal_contained_in': ['2.b1', '2.e1', '2.j1'], 'normal_contains': ['8.k1', '8.m1', '8.z1', '8.bb1', '8.bf1'], 'normalizer': '1.a1', 'old_label': '4.u1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.u1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762178
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '112.m1', 'aut_quo_index': None, 'aut_stab_index': 168, 'aut_weyl_group': '12.4', 'aut_weyl_index': 8064, 'centralizer': '168.j1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.m1', '56.o1'], 'contains': ['224.b1', '224.f1', '336.m1'], 'core': '448.a1', 'coset_action_label': None, 'count': 168, 'diagramx': [338, -1, 2905, -1], 'generators': [674, 28, 448], 'label': '1344.11566.112.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.o1', 'old_label': '112.m1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.m1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71762179
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '112.n1', 'aut_quo_index': None, 'aut_stab_index': 168, 'aut_weyl_group': '6.1', 'aut_weyl_index': 16128, 'centralizer': '168.v1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.n1', '56.s1'], 'contains': ['224.d1', '224.e1', '224.f1', '336.n1'], 'core': '448.a1', 'coset_action_label': None, 'count': 168, 'diagramx': [58, -1, 2820, -1], 'generators': [1, 28, 448], 'label': '1344.11566.112.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '28.x1', 'old_label': '112.n1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '112.n1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71762180
    {'ambient': '1344.11566', 'aut_centralizer_order': 8064, 'aut_label': '168.a1', 'aut_quo_index': 4, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '4.c1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['24.b1', '56.c1', '84.a1', '84.d1', '84.g1', '84.i1', '84.j1', '84.l1', '84.m1'], 'contains': ['336.a1', '336.b1', '336.c1'], 'core': '168.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7862, 8772, 8694, 8544], 'generators': [2, 8], 'label': '1344.11566.168.a1', 'mobius_quo': 0, 'mobius_sub': -168, 'normal_closure': '168.a1', 'normal_contained_in': ['24.b1', '56.c1', '84.a1'], 'normal_contains': ['336.a1', '336.b1', '336.c1'], 'normalizer': '1.a1', 'old_label': '168.a1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '42.3', 'quotient_action_kernel_order': 42, 'quotient_fusion': None, 'short_label': '168.a1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762181
    {'ambient': '1344.11566', 'aut_centralizer_order': 4032, 'aut_label': '168.b1', 'aut_quo_index': 2, 'aut_stab_index': 3, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12096, 'centralizer': '4.t1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['24.d1', '56.e1', '84.a1', '84.n1', '84.o1', '84.p1', '84.q1'], 'contains': ['336.a1', '336.c1'], 'core': '168.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8837, 7909, 8938, 8820], 'generators': [674, 680], 'label': '1344.11566.168.b1', 'mobius_quo': 0, 'mobius_sub': -168, 'normal_closure': '168.b1', 'normal_contained_in': ['24.d1', '56.e1', '84.a1'], 'normal_contains': ['336.a1', '336.c1'], 'normalizer': '1.a1', 'old_label': '168.b1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.b1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762182
    {'ambient': '1344.11566', 'aut_centralizer_order': 4032, 'aut_label': '168.c1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '24.12', 'aut_weyl_index': 4032, 'centralizer': '4.s1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['24.i1', '56.l1', '84.a1', '84.v1', '84.bd1', '84.bf1', '84.bh1'], 'contains': ['336.c1'], 'core': '168.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [9604, 9654, 9734, 9308], 'generators': [2, 680], 'label': '1344.11566.168.c1', 'mobius_quo': 0, 'mobius_sub': -168, 'normal_closure': '168.c1', 'normal_contained_in': ['24.i1', '56.l1', '84.a1'], 'normal_contains': ['336.c1'], 'normalizer': '1.a1', 'old_label': '168.c1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.c1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762183
    {'ambient': '1344.11566', 'aut_centralizer_order': 2688, 'aut_label': '168.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['24.j1', '56.a1', '84.b1', '84.c1', '84.d1', '84.n1'], 'contains': ['336.a1', '336.d1', '336.e1', '336.l1'], 'core': '336.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5392, -1, 7478, -1], 'generators': [1, 10, 16], 'label': '1344.11566.168.d1', 'mobius_quo': None, 'mobius_sub': -56, 'normal_closure': '56.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '168.d1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.d1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762184
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '168.e1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '12.u1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.k1', '56.b1', '84.e1', '84.f1', '84.g1', '84.n1', '84.o1'], 'contains': ['336.a1', '336.e1', '336.i1'], 'core': '336.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [6919, -1, 8392, -1], 'generators': [225, 10], 'label': '1344.11566.168.e1', 'mobius_quo': None, 'mobius_sub': -56, 'normal_closure': '56.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '168.e1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.e1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762185
    {'ambient': '1344.11566', 'aut_centralizer_order': 576, 'aut_label': '168.f1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '28.ba1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.a1', '56.m1', '84.b1', '84.e1', '84.h1', '84.i1', '84.p1'], 'contains': ['336.a1', '336.f1', '336.j1'], 'core': '336.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [6503, -1, 7608, -1], 'generators': [5, 10], 'label': '1344.11566.168.f1', 'mobius_quo': None, 'mobius_sub': -24, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '168.f1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.f1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762186
    {'ambient': '1344.11566', 'aut_centralizer_order': 192, 'aut_label': '168.g1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '84.z1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.l1', '56.n1', '84.b1', '84.f1', '84.h1', '84.j1', '84.q1'], 'contains': ['336.a1', '336.g1', '336.k1'], 'core': '336.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [6227, -1, 7523, -1], 'generators': [674, 1340], 'label': '1344.11566.168.g1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.g1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.g1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762187
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '168.h1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12096, 'centralizer': '84.k1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.m1', '56.o1', '84.c1', '84.e1', '84.k1', '84.l1', '84.q1'], 'contains': ['336.a1', '336.g1', '336.m1'], 'core': '336.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [6081, -1, 7776, -1], 'generators': [674, 28, 16], 'label': '1344.11566.168.h1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.h1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.h1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762188
    {'ambient': '1344.11566', 'aut_centralizer_order': 56, 'aut_label': '4.v1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '1728.47893', 'aut_weyl_index': 56, 'centralizer': '48.c1', 'complements': ['336.m1', '336.n1'], 'conjugacy_class_count': 1, 'contained_in': ['2.g1', '2.j1'], 'contains': ['8.m1', '8.be1', '8.bg1', '12.w1', '28.f1'], 'core': '4.v1', 'coset_action_label': None, 'count': 1, 'diagramx': [6388, 8928, 5839, 7923], 'generators': [241, 448, 680, 192, 2, 16], 'label': '1344.11566.4.v1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.v1', 'normal_contained_in': ['2.g1', '2.j1'], 'normal_contains': ['8.m1', '8.be1', '8.bg1', '28.f1'], 'normalizer': '1.a1', 'old_label': '4.v1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.v1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762189
    {'ambient': '1344.11566', 'aut_centralizer_order': 2688, 'aut_label': '168.i1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '6.c1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['24.n1', '56.d1', '84.d1', '84.h1', '84.k1', '84.o1'], 'contains': ['336.a1', '336.h1', '336.i1'], 'core': '336.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [8038, -1, 7921, -1], 'generators': [3, 10], 'label': '1344.11566.168.i1', 'mobius_quo': None, 'mobius_sub': -56, 'normal_closure': '56.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '168.i1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762190
    {'ambient': '1344.11566', 'aut_centralizer_order': 288, 'aut_label': '168.j1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12096, 'centralizer': '28.o1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.c1', '56.p1', '84.c1', '84.f1', '84.k1', '84.m1', '84.p1'], 'contains': ['336.a1', '336.j1'], 'core': '336.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [8109, -1, 8043, -1], 'generators': [869, 10], 'label': '1344.11566.168.j1', 'mobius_quo': None, 'mobius_sub': -24, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '168.j1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.j1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762191
    {'ambient': '1344.11566', 'aut_centralizer_order': 576, 'aut_label': '168.k1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '84.bd1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.o1', '56.q1', '84.b1', '84.r1', '84.s1'], 'contains': ['336.d1', '336.f1', '336.k1'], 'core': '672.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [4908, -1, 7087, -1], 'generators': [5, 30], 'label': '1344.11566.168.k1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.k1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.k1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762192
    {'ambient': '1344.11566', 'aut_centralizer_order': 192, 'aut_label': '168.l1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '84.o1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.p1', '56.r1', '84.b1', '84.c1', '84.r1', '84.t1', '84.u1'], 'contains': ['336.d1', '336.g1', '336.j1'], 'core': '672.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [5805, -1, 7566, -1], 'generators': [7, 28], 'label': '1344.11566.168.l1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.l1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.l1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762193
    {'ambient': '1344.11566', 'aut_centralizer_order': 8064, 'aut_label': '168.m1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '6.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.q1', '56.f1', '84.d1', '84.s1', '84.t1'], 'contains': ['336.b1', '336.d1', '336.h1'], 'core': '336.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [6299, -1, 7228, -1], 'generators': [3, 8], 'label': '1344.11566.168.m1', 'mobius_quo': None, 'mobius_sub': -56, 'normal_closure': '56.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '168.m1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.m1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762194
    {'ambient': '1344.11566', 'aut_centralizer_order': 2688, 'aut_label': '168.n1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['24.r1', '56.g1', '84.d1', '84.n1', '84.r1', '84.u1', '84.v1'], 'contains': ['336.c1', '336.d1', '336.i1'], 'core': '336.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [8914, -1, 8774, -1], 'generators': [227, 680], 'label': '1344.11566.168.n1', 'mobius_quo': None, 'mobius_sub': -56, 'normal_closure': '56.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '168.n1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.n1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762195
    {'ambient': '1344.11566', 'aut_centralizer_order': 192, 'aut_label': '168.o1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '84.w1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.s1', '56.s1', '84.b1', '84.e1', '84.w1', '84.x1', '84.bb1'], 'contains': ['336.e1', '336.f1', '336.g1', '336.n1'], 'core': '672.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [5310, -1, 7430, -1], 'generators': [1, 28, 16], 'label': '1344.11566.168.o1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.o1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.o1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762196
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '168.p1', 'aut_quo_index': None, 'aut_stab_index': 252, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '84.h1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['24.t1', '56.t1', '84.c1', '84.e1', '84.f1', '84.y1', '84.z1', '84.bb1', '84.bc1'], 'contains': ['336.e1', '336.g1', '336.j1'], 'core': '672.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [6431, -1, 8270, -1], 'generators': [869, 220], 'label': '1344.11566.168.p1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.p1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.p1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762197
    {'ambient': '1344.11566', 'aut_centralizer_order': 2688, 'aut_label': '168.q1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['24.u1', '56.h1', '84.d1', '84.g1', '84.x1', '84.y1', '84.ba1'], 'contains': ['336.b1', '336.e1', '336.i1'], 'core': '336.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [6781, -1, 8209, -1], 'generators': [1, 8], 'label': '1344.11566.168.q1', 'mobius_quo': None, 'mobius_sub': -56, 'normal_closure': '56.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '168.q1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.q1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762198
    {'ambient': '1344.11566', 'aut_centralizer_order': 2688, 'aut_label': '168.r1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '6.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['24.v1', '56.i1', '84.d1', '84.o1', '84.w1', '84.z1', '84.bd1'], 'contains': ['336.c1', '336.e1', '336.h1'], 'core': '336.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [8294, -1, 8614, -1], 'generators': [3, 680], 'label': '1344.11566.168.r1', 'mobius_quo': None, 'mobius_sub': -56, 'normal_closure': '56.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '168.r1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.r1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762199
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '4.w1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '336.c1', 'complements': ['336.m1', '336.n1', '336.l1'], 'conjugacy_class_count': 6, 'contained_in': ['2.a1', '2.f1', '2.k1'], 'contains': ['8.n1', '8.q1', '8.r1', '8.u1', '8.v1', '8.x1', '8.y1', '12.x1', '28.x1'], 'core': '4.w1', 'coset_action_label': None, 'count': 6, 'diagramx': [2963, 2932, 2264, 1218], 'generators': [1, 192, 28, 16, 2, 448], 'label': '1344.11566.4.w1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.w1', 'normal_contained_in': ['2.a1', '2.f1', '2.k1'], 'normal_contains': ['8.n1', '8.q1', '8.r1', '8.u1', '8.v1', '8.x1', '8.y1'], 'normalizer': '1.a1', 'old_label': '4.w1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.w1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762200
    {'ambient': '1344.11566', 'aut_centralizer_order': 192, 'aut_label': '168.s1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '84.w1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.w1', '56.u1', '84.b1', '84.f1', '84.w1', '84.ba1', '84.bc1'], 'contains': ['336.e1', '336.j1', '336.k1'], 'core': '672.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [6025, -1, 7841, -1], 'generators': [1, 30], 'label': '1344.11566.168.s1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.r1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.s1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.s1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762201
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '168.t1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12096, 'centralizer': '12.t1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['24.x1', '56.j1', '84.g1', '84.n1', '84.bb1', '84.bc1', '84.bd1'], 'contains': ['336.c1', '336.e1'], 'core': '336.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [6882, -1, 9261, -1], 'generators': [1, 680], 'label': '1344.11566.168.t1', 'mobius_quo': None, 'mobius_sub': -56, 'normal_closure': '56.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '168.t1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.t1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762202
    {'ambient': '1344.11566', 'aut_centralizer_order': 192, 'aut_label': '168.u1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '84.z1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.y1', '56.v1', '84.e1', '84.h1', '84.r1', '84.x1', '84.be1'], 'contains': ['336.f1', '336.g1', '336.i1'], 'core': '672.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [5914, -1, 7731, -1], 'generators': [5, 28], 'label': '1344.11566.168.u1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.t1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.u1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.u1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762203
    {'ambient': '1344.11566', 'aut_centralizer_order': 576, 'aut_label': '168.v1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '28.x1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.e1', '56.w1', '84.i1', '84.p1', '84.r1', '84.w1', '84.bb1', '84.be1', '84.bf1'], 'contains': ['336.c1', '336.f1', '336.j1'], 'core': '336.c1', 'coset_action_label': None, 'count': 42, 'diagramx': [8364, -1, 8534, -1], 'generators': [5, 680], 'label': '1344.11566.168.v1', 'mobius_quo': None, 'mobius_sub': -24, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '168.v1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.v1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762204
    {'ambient': '1344.11566', 'aut_centralizer_order': 576, 'aut_label': '168.w1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '42.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.z1', '56.x1', '84.h1', '84.s1', '84.w1'], 'contains': ['336.f1', '336.h1', '336.k1'], 'core': '672.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [5564, -1, 7149, -1], 'generators': [3, 30], 'label': '1344.11566.168.w1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.v1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.w1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.w1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762205
    {'ambient': '1344.11566', 'aut_centralizer_order': 1728, 'aut_label': '168.x1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12096, 'centralizer': '28.g1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1', '56.y1', '84.i1', '84.s1', '84.x1'], 'contains': ['336.b1', '336.f1'], 'core': '336.b1', 'coset_action_label': None, 'count': 7, 'diagramx': [5451, -1, 7290, -1], 'generators': [5, 8], 'label': '1344.11566.168.x1', 'mobius_quo': None, 'mobius_sub': -24, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '168.x1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.x1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762206
    {'ambient': '1344.11566', 'aut_centralizer_order': 192, 'aut_label': '168.y1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '84.w1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.ba1', '56.z1', '84.j1', '84.q1', '84.r1', '84.w1', '84.bc1', '84.bg1', '84.bh1'], 'contains': ['336.c1', '336.g1', '336.k1'], 'core': '336.c1', 'coset_action_label': None, 'count': 126, 'diagramx': [6637, -1, 8454, -1], 'generators': [2, 28], 'label': '1344.11566.168.y1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.x1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.y1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.y1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762207
    {'ambient': '1344.11566', 'aut_centralizer_order': 192, 'aut_label': '168.z1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '42.f1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.bb1', '56.ba1', '84.h1', '84.k1', '84.t1', '84.w1', '84.z1'], 'contains': ['336.g1', '336.h1', '336.j1'], 'core': '672.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [7010, -1, 7669, -1], 'generators': [3, 28], 'label': '1344.11566.168.z1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.y1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.z1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.z1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762208
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '168.ba1', 'aut_quo_index': None, 'aut_stab_index': 252, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '84.k1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['24.bc1', '56.bb1', '84.e1', '84.f1', '84.k1', '84.u1', '84.y1', '84.be1', '84.bg1'], 'contains': ['336.g1', '336.i1', '336.j1'], 'core': '672.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [8630, -1, 8331, -1], 'generators': [225, 924], 'label': '1344.11566.168.ba1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.z1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.ba1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.ba1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762209
    {'ambient': '1344.11566', 'aut_centralizer_order': 192, 'aut_label': '168.bb1', 'aut_quo_index': None, 'aut_stab_index': 63, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12096, 'centralizer': '84.o1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['24.bd1', '56.bc1', '84.j1', '84.l1', '84.t1', '84.x1', '84.y1'], 'contains': ['336.b1', '336.g1'], 'core': '336.b1', 'coset_action_label': None, 'count': 63, 'diagramx': [6140, -1, 7982, -1], 'generators': [1318, 8], 'label': '1344.11566.168.bb1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.ba1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.bb1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.bb1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762210
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '4.x1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '336.c1', 'complements': ['336.m1', '336.l1'], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '2.c1'], 'contains': ['8.n1', '8.p1', '8.t1', '8.w1', '8.ba1', '12.y1', '28.y1'], 'core': '4.x1', 'coset_action_label': None, 'count': 3, 'diagramx': [1749, 3555, 1755, 1781], 'generators': [5, 192, 8, 16, 1318, 448], 'label': '1344.11566.4.x1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.x1', 'normal_contained_in': ['2.a1', '2.c1'], 'normal_contains': ['8.n1', '8.p1', '8.t1', '8.w1', '8.ba1'], 'normalizer': '1.a1', 'old_label': '4.x1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.x1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762211
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '168.bc1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12096, 'centralizer': '84.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.be1', '56.bd1', '84.l1', '84.q1', '84.u1', '84.z1', '84.bb1', '84.be1', '84.bh1'], 'contains': ['336.c1', '336.g1'], 'core': '336.c1', 'coset_action_label': None, 'count': 126, 'diagramx': [8240, -1, 8895, -1], 'generators': [2, 1340], 'label': '1344.11566.168.bc1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.bb1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.bc1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.bc1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762212
    {'ambient': '1344.11566', 'aut_centralizer_order': 576, 'aut_label': '168.bd1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12096, 'centralizer': '28.d1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['24.g1', '56.be1', '84.i1', '84.m1', '84.t1', '84.y1', '84.ba1'], 'contains': ['336.b1', '336.j1'], 'core': '336.b1', 'coset_action_label': None, 'count': 21, 'diagramx': [6957, -1, 8147, -1], 'generators': [7, 8], 'label': '1344.11566.168.bd1', 'mobius_quo': None, 'mobius_sub': -24, 'normal_closure': '24.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '168.bd1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.bd1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762213
    {'ambient': '1344.11566', 'aut_centralizer_order': 576, 'aut_label': '168.be1', 'aut_quo_index': None, 'aut_stab_index': 21, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12096, 'centralizer': '84.bd1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.bf1', '56.bf1', '84.j1', '84.s1', '84.ba1'], 'contains': ['336.b1', '336.k1'], 'core': '336.b1', 'coset_action_label': None, 'count': 21, 'diagramx': [5972, -1, 7332, -1], 'generators': [6, 8], 'label': '1344.11566.168.be1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.bd1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.be1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.be1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762214
    {'ambient': '1344.11566', 'aut_centralizer_order': 1344, 'aut_label': '168.bf1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12096, 'centralizer': '12.u1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['24.bg1', '56.k1', '84.g1', '84.o1', '84.v1', '84.be1', '84.bg1'], 'contains': ['336.c1', '336.i1'], 'core': '336.c1', 'coset_action_label': None, 'count': 9, 'diagramx': [9407, -1, 9463, -1], 'generators': [225, 680], 'label': '1344.11566.168.bf1', 'mobius_quo': None, 'mobius_sub': -56, 'normal_closure': '56.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '168.bf1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.bf1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762215
    {'ambient': '1344.11566', 'aut_centralizer_order': 288, 'aut_label': '168.bg1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '8.3', 'aut_weyl_index': 12096, 'centralizer': '28.l1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.h1', '56.bg1', '84.m1', '84.p1', '84.u1', '84.z1', '84.bc1', '84.bf1', '84.bg1'], 'contains': ['336.c1', '336.j1'], 'core': '336.c1', 'coset_action_label': None, 'count': 42, 'diagramx': [9052, -1, 9058, -1], 'generators': [7, 680], 'label': '1344.11566.168.bg1', 'mobius_quo': None, 'mobius_sub': -24, 'normal_closure': '24.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '168.bg1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.bg1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762216
    {'ambient': '1344.11566', 'aut_centralizer_order': 192, 'aut_label': '168.bh1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '4.2', 'aut_weyl_index': 24192, 'centralizer': '84.z1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['24.bh1', '56.bh1', '84.f1', '84.h1', '84.r1', '84.ba1', '84.bg1'], 'contains': ['336.i1', '336.j1', '336.k1'], 'core': '672.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [7223, -1, 8105, -1], 'generators': [225, 926], 'label': '1344.11566.168.bh1', 'mobius_quo': None, 'mobius_sub': -8, 'normal_closure': '8.bh1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '168.bh1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168.bh1', 'subgroup_fusion': None, 'weyl_group': '4.2'}
  • id: 71762217
    {'ambient': '1344.11566', 'aut_centralizer_order': 16128, 'aut_label': '192.a1', 'aut_quo_index': 10, 'aut_stab_index': 1, 'aut_weyl_group': '6.2', 'aut_weyl_index': 16128, 'centralizer': '2.g1', 'complements': ['7.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '96.a1', '96.b1', '96.c1', '96.d1', '96.e1', '96.f1'], 'contains': ['1344.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [579, 6499, 2698, 6520], 'generators': [192], 'label': '1344.11566.192.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.a1', 'normal_contained_in': ['64.a1', '96.a1'], 'normal_contains': ['1344.a1'], 'normalizer': '1.a1', 'old_label': '192.a1', 'projective_image': '1344.11566', 'quotient_action_image': '2.1', 'quotient_action_kernel': '96.215', 'quotient_action_kernel_order': 96, 'quotient_fusion': None, 'short_label': '192.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762218
    {'ambient': '1344.11566', 'aut_centralizer_order': 48384, 'aut_label': '224.a1', 'aut_quo_index': 26880, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 48384, 'centralizer': '2.h1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.a1', '112.a1', '112.b1', '112.c1', '112.d1', '112.e1', '112.f1', '112.g1', '112.h1', '112.i1', '112.j1', '112.k1'], 'contains': ['448.a1', '672.a1'], 'core': '224.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [2234, 7157, 6056, 7905], 'generators': [16, 448], 'label': '1344.11566.224.a1', 'mobius_quo': 1, 'mobius_sub': 7168, 'normal_closure': '224.a1', 'normal_contained_in': ['32.a1', '112.a1', '112.b1', '112.c1', '112.d1', '112.e1', '112.f1', '112.g1'], 'normal_contains': ['448.a1', '672.a1'], 'normalizer': '1.a1', 'old_label': '224.a1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '112.42', 'quotient_action_kernel_order': 112, 'quotient_fusion': None, 'short_label': '224.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762219
    {'ambient': '1344.11566', 'aut_centralizer_order': 8064, 'aut_label': '224.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '2.1', 'aut_weyl_index': 48384, 'centralizer': '4.l1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['32.b1', '112.a1', '112.l1', '112.m1'], 'contains': ['448.a1', '672.b1'], 'core': '448.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [327, -1, 3034, -1], 'generators': [10, 448], 'label': '1344.11566.224.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '112.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '224.b1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762220
    {'ambient': '1344.11566', 'aut_centralizer_order': 8064, 'aut_label': '224.c1', 'aut_quo_index': None, 'aut_stab_index': 2, 'aut_weyl_group': '6.1', 'aut_weyl_index': 16128, 'centralizer': '12.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.c1', '112.b1', '112.l1'], 'contains': ['448.a1', '672.c1'], 'core': '448.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [182, -1, 2949, -1], 'generators': [11, 448], 'label': '1344.11566.224.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '112.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.g1', 'old_label': '224.c1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.c1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71762221
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '4.y1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '336.a1', 'complements': ['336.m1', '336.l1', '336.n1'], 'conjugacy_class_count': 6, 'contained_in': ['2.b1', '2.c1', '2.d1'], 'contains': ['8.o1', '8.p1', '8.z1', '8.ba1', '8.bc1', '12.z1', '28.z1'], 'core': '4.y1', 'coset_action_label': None, 'count': 6, 'diagramx': [2774, 4398, 2926, 3177], 'generators': [1, 192, 8, 16, 1318, 448], 'label': '1344.11566.4.y1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.y1', 'normal_contained_in': ['2.b1', '2.c1', '2.d1'], 'normal_contains': ['8.o1', '8.p1', '8.z1', '8.ba1', '8.bc1'], 'normalizer': '1.a1', 'old_label': '4.y1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.y1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762222
    {'ambient': '1344.11566', 'aut_centralizer_order': 2688, 'aut_label': '224.d1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '6.1', 'aut_weyl_index': 16128, 'centralizer': '12.a1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['32.d1', '112.c1', '112.l1', '112.n1'], 'contains': ['448.a1', '672.d1'], 'core': '448.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [51, -1, 2859, -1], 'generators': [1, 448], 'label': '1344.11566.224.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '112.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '224.d1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.d1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71762223
    {'ambient': '1344.11566', 'aut_centralizer_order': 1728, 'aut_label': '224.e1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '2.1', 'aut_weyl_index': 48384, 'centralizer': '28.bf1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.e1', '112.h1', '112.n1'], 'contains': ['448.a1', '672.e1'], 'core': '448.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [14, -1, 2816, -1], 'generators': [5, 448], 'label': '1344.11566.224.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.k1', 'old_label': '224.e1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762224
    {'ambient': '1344.11566', 'aut_centralizer_order': 192, 'aut_label': '224.f1', 'aut_quo_index': None, 'aut_stab_index': 84, 'aut_weyl_group': '6.1', 'aut_weyl_index': 16128, 'centralizer': '84.p1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['32.f1', '112.i1', '112.m1', '112.n1'], 'contains': ['448.a1', '672.f1'], 'core': '448.a1', 'coset_action_label': None, 'count': 84, 'diagramx': [239, -1, 2992, -1], 'generators': [28, 448], 'label': '1344.11566.224.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.g1', 'old_label': '224.f1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '224.f1', 'subgroup_fusion': None, 'weyl_group': '6.1'}
  • id: 71762225
    {'ambient': '1344.11566', 'aut_centralizer_order': 16128, 'aut_label': '336.a1', 'aut_quo_index': 24, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 48384, 'centralizer': '2.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['48.a1', '112.a1', '168.a1', '168.b1', '168.d1', '168.e1', '168.f1', '168.g1', '168.h1', '168.i1', '168.j1'], 'contains': ['672.a1', '672.b1'], 'core': '336.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6367, 7744, 7666, 8349], 'generators': [10, 16], 'label': '1344.11566.336.a1', 'mobius_quo': 0, 'mobius_sub': 1344, 'normal_closure': '336.a1', 'normal_contained_in': ['48.a1', '112.a1', '168.a1', '168.b1'], 'normal_contains': ['672.a1'], 'normalizer': '1.a1', 'old_label': '336.a1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '168.50', 'quotient_action_kernel_order': 168, 'quotient_fusion': None, 'short_label': '336.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762226
    {'ambient': '1344.11566', 'aut_centralizer_order': 48384, 'aut_label': '336.b1', 'aut_quo_index': 16, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 48384, 'centralizer': '2.g1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['48.c1', '112.d1', '168.a1', '168.m1', '168.q1', '168.x1', '168.bb1', '168.bd1', '168.be1'], 'contains': ['672.a1'], 'core': '336.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6218, 6946, 7417, 7729], 'generators': [8], 'label': '1344.11566.336.b1', 'mobius_quo': 0, 'mobius_sub': 1344, 'normal_closure': '336.b1', 'normal_contained_in': ['48.c1', '112.d1', '168.a1'], 'normal_contains': ['672.a1'], 'normalizer': '1.a1', 'old_label': '336.b1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '168.55', 'quotient_action_kernel_order': 168, 'quotient_fusion': None, 'short_label': '336.b1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762227
    {'ambient': '1344.11566', 'aut_centralizer_order': 16128, 'aut_label': '336.c1', 'aut_quo_index': 48, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 48384, 'centralizer': '2.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['48.d1', '112.e1', '168.a1', '168.b1', '168.c1', '168.n1', '168.r1', '168.t1', '168.v1', '168.y1', '168.bc1', '168.bf1', '168.bg1'], 'contains': ['672.a1'], 'core': '336.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [8352, 8703, 8735, 8624], 'generators': [680], 'label': '1344.11566.336.c1', 'mobius_quo': 0, 'mobius_sub': 1344, 'normal_closure': '336.c1', 'normal_contained_in': ['48.d1', '112.e1', '168.a1', '168.b1', '168.c1'], 'normal_contains': ['672.a1'], 'normalizer': '1.a1', 'old_label': '336.c1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '168.50', 'quotient_action_kernel_order': 168, 'quotient_fusion': None, 'short_label': '336.c1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762228
    {'ambient': '1344.11566', 'aut_centralizer_order': 16128, 'aut_label': '336.d1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 48384, 'centralizer': '6.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.f1', '112.b1', '168.d1', '168.k1', '168.l1', '168.m1', '168.n1'], 'contains': ['672.a1', '672.c1'], 'core': '672.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5402, -1, 7228, -1], 'generators': [11, 16], 'label': '1344.11566.336.d1', 'mobius_quo': None, 'mobius_sub': 448, 'normal_closure': '112.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '336.d1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.d1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762229
    {'ambient': '1344.11566', 'aut_centralizer_order': 5376, 'aut_label': '336.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '2.1', 'aut_weyl_index': 48384, 'centralizer': '6.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['48.g1', '112.c1', '168.d1', '168.e1', '168.o1', '168.p1', '168.q1', '168.r1', '168.s1', '168.t1'], 'contains': ['672.a1', '672.d1'], 'core': '672.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [5796, -1, 7863, -1], 'generators': [1, 16], 'label': '1344.11566.336.e1', 'mobius_quo': None, 'mobius_sub': 448, 'normal_closure': '112.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '336.e1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.e1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762230
    {'ambient': '1344.11566', 'aut_centralizer_order': 3456, 'aut_label': '336.f1', 'aut_quo_index': None, 'aut_stab_index': 14, 'aut_weyl_group': '2.1', 'aut_weyl_index': 48384, 'centralizer': '14.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.b1', '112.h1', '168.f1', '168.k1', '168.o1', '168.u1', '168.v1', '168.w1', '168.x1'], 'contains': ['672.a1', '672.e1'], 'core': '672.a1', 'coset_action_label': None, 'count': 14, 'diagramx': [5360, -1, 7287, -1], 'generators': [5, 16], 'label': '1344.11566.336.f1', 'mobius_quo': None, 'mobius_sub': 192, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '336.f1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.f1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762231
    {'ambient': '1344.11566', 'aut_centralizer_order': 384, 'aut_label': '336.g1', 'aut_quo_index': None, 'aut_stab_index': 126, 'aut_weyl_group': '2.1', 'aut_weyl_index': 48384, 'centralizer': '42.f1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['48.h1', '112.i1', '168.g1', '168.h1', '168.l1', '168.o1', '168.p1', '168.u1', '168.y1', '168.z1', '168.ba1', '168.bb1', '168.bc1'], 'contains': ['672.a1', '672.f1'], 'core': '672.a1', 'coset_action_label': None, 'count': 126, 'diagramx': [5992, -1, 7618, -1], 'generators': [28, 16], 'label': '1344.11566.336.g1', 'mobius_quo': None, 'mobius_sub': 64, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '336.g1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.g1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762232
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '4.z1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '336.a1', 'complements': ['336.m1', '336.l1', '336.n1'], 'conjugacy_class_count': 6, 'contained_in': ['2.b1', '2.f1', '2.k1'], 'contains': ['8.o1', '8.q1', '8.y1', '8.bb1', '8.bf1', '12.ba1', '28.ba1'], 'core': '4.z1', 'coset_action_label': None, 'count': 6, 'diagramx': [4123, 6481, 3367, 5270], 'generators': [1, 192, 1340, 16, 2, 448], 'label': '1344.11566.4.z1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.z1', 'normal_contained_in': ['2.b1', '2.f1', '2.k1'], 'normal_contains': ['8.o1', '8.q1', '8.y1', '8.bb1', '8.bf1'], 'normalizer': '1.a1', 'old_label': '4.z1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.z1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762233
    {'ambient': '1344.11566', 'aut_centralizer_order': 16128, 'aut_label': '336.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '2.1', 'aut_weyl_index': 48384, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.i1', '112.f1', '168.i1', '168.m1', '168.r1', '168.w1', '168.z1'], 'contains': ['672.a1'], 'core': '672.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6622, -1, 7375, -1], 'generators': [3], 'label': '1344.11566.336.h1', 'mobius_quo': None, 'mobius_sub': 448, 'normal_closure': '112.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '336.h1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.h1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71762234
    {'ambient': '1344.11566', 'aut_centralizer_order': 5376, 'aut_label': '336.i1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '2.1', 'aut_weyl_index': 48384, 'centralizer': '6.c1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['48.j1', '112.g1', '168.e1', '168.i1', '168.n1', '168.q1', '168.u1', '168.ba1', '168.bf1', '168.bh1'], 'contains': ['672.a1'], 'core': '672.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [6996, -1, 8105, -1], 'generators': [9], 'label': '1344.11566.336.i1', 'mobius_quo': None, 'mobius_sub': 448, 'normal_closure': '112.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '336.i1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.i1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762235
    {'ambient': '1344.11566', 'aut_centralizer_order': 1152, 'aut_label': '336.j1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '2.1', 'aut_weyl_index': 48384, 'centralizer': '14.g1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['48.e1', '112.j1', '168.f1', '168.j1', '168.l1', '168.p1', '168.s1', '168.v1', '168.z1', '168.ba1', '168.bd1', '168.bg1', '168.bh1'], 'contains': ['672.a1'], 'core': '672.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [6809, -1, 7818, -1], 'generators': [7], 'label': '1344.11566.336.j1', 'mobius_quo': None, 'mobius_sub': 192, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '336.j1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.j1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762236
    {'ambient': '1344.11566', 'aut_centralizer_order': 1152, 'aut_label': '336.k1', 'aut_quo_index': None, 'aut_stab_index': 42, 'aut_weyl_group': '2.1', 'aut_weyl_index': 48384, 'centralizer': '42.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.k1', '112.k1', '168.g1', '168.k1', '168.s1', '168.w1', '168.y1', '168.be1', '168.bh1'], 'contains': ['672.a1'], 'core': '672.a1', 'coset_action_label': None, 'count': 42, 'diagramx': [5845, -1, 7332, -1], 'generators': [30], 'label': '1344.11566.336.k1', 'mobius_quo': None, 'mobius_sub': 64, 'normal_closure': '16.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '21.a1', 'old_label': '336.k1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.k1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762237
    {'ambient': '1344.11566', 'aut_centralizer_order': 2688, 'aut_label': '336.l1', 'aut_quo_index': None, 'aut_stab_index': 36, 'aut_weyl_group': '1.1', 'aut_weyl_index': 96768, 'centralizer': '12.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['48.l1', '112.l1', '168.d1'], 'contains': ['672.b1', '672.c1', '672.d1'], 'core': '1344.a1', 'coset_action_label': None, 'count': 36, 'diagramx': [494, -1, 3080, -1], 'generators': [1, 10], 'label': '1344.11566.336.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '56.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.h1', 'old_label': '336.l1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.l1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71762238
    {'ambient': '1344.11566', 'aut_centralizer_order': 96, 'aut_label': '336.m1', 'aut_quo_index': None, 'aut_stab_index': 504, 'aut_weyl_group': '2.1', 'aut_weyl_index': 48384, 'centralizer': '84.k1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['48.m1', '112.m1', '168.h1'], 'contains': ['672.b1', '672.f1'], 'core': '1344.a1', 'coset_action_label': None, 'count': 504, 'diagramx': [1340, -1, 3128, -1], 'generators': [674, 28], 'label': '1344.11566.336.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '84.k1', 'old_label': '336.m1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '336.m1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71762240
    {'ambient': '1344.11566', 'aut_centralizer_order': 48384, 'aut_label': '448.a1', 'aut_quo_index': 4, 'aut_stab_index': 1, 'aut_weyl_group': '2.1', 'aut_weyl_index': 48384, 'centralizer': '2.h1', 'complements': ['3.a1'], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '224.a1', '224.b1', '224.c1', '224.d1', '224.e1', '224.f1'], 'contains': ['1344.a1'], 'core': '448.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [206, 6579, 2876, 7039], 'generators': [448], 'label': '1344.11566.448.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '448.a1', 'normal_contained_in': ['64.a1', '224.a1'], 'normal_contains': ['1344.a1'], 'normalizer': '1.a1', 'old_label': '448.a1', 'projective_image': '1344.11566', 'quotient_action_image': '2.1', 'quotient_action_kernel': '224.186', 'quotient_action_kernel_order': 224, 'quotient_fusion': None, 'short_label': '448.a1', 'subgroup_fusion': None, 'weyl_group': '2.1'}
  • id: 71762241
    {'ambient': '1344.11566', 'aut_centralizer_order': 96768, 'aut_label': '672.a1', 'aut_quo_index': 896, 'aut_stab_index': 1, 'aut_weyl_group': '1.1', 'aut_weyl_index': 96768, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['96.a1', '224.a1', '336.a1', '336.b1', '336.c1', '336.d1', '336.e1', '336.f1', '336.g1', '336.h1', '336.i1', '336.j1', '336.k1'], 'contains': ['1344.a1'], 'core': '672.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5934, 7010, 7396, 7787], 'generators': [16], 'label': '1344.11566.672.a1', 'mobius_quo': -1, 'mobius_sub': -21504, 'normal_closure': '672.a1', 'normal_contained_in': ['96.a1', '224.a1', '336.a1', '336.b1', '336.c1'], 'normal_contains': ['1344.a1'], 'normalizer': '1.a1', 'old_label': '672.a1', 'projective_image': '672.1271', 'quotient_action_image': '1.1', 'quotient_action_kernel': '672.1271', 'quotient_action_kernel_order': 672, 'quotient_fusion': None, 'short_label': '672.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71762242
    {'ambient': '1344.11566', 'aut_centralizer_order': 16128, 'aut_label': '672.b1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 96768, 'centralizer': '2.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['96.b1', '224.b1', '336.a1', '336.l1', '336.m1'], 'contains': ['1344.a1'], 'core': '1344.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [1174, -1, 3068, -1], 'generators': [10], 'label': '1344.11566.672.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '336.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '672.b1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.b1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71762243
    {'ambient': '1344.11566', 'aut_centralizer_order': 2, 'aut_label': '2.c1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '672.a1', 'complements': ['672.b1', '672.f1', '672.d1', '672.c1'], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['4.d1', '4.f1', '4.h1', '4.k1', '4.x1', '4.y1', '4.bb1', '4.be1', '6.d1', '14.d1'], 'core': '2.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [3446, 5229, 3792, 4351], 'generators': [5, 448, 1316, 8, 2, 192, 16], 'label': '1344.11566.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.d1', '4.f1', '4.h1', '4.k1', '4.x1', '4.y1', '4.bb1', '4.be1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': '672.1271'}
  • id: 71762244
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '4.ba1', 'aut_quo_index': 3, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '336.c1', 'complements': ['336.m1', '336.l1', '336.n1'], 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '2.d1'], 'contains': ['8.p1', '8.r1', '8.bc1', '8.bd1', '8.bh1', '12.bb1', '28.bb1'], 'core': '4.ba1', 'coset_action_label': None, 'count': 3, 'diagramx': [2575, 1465, 2152, 278], 'generators': [1, 192, 8, 16, 6, 448], 'label': '1344.11566.4.ba1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.ba1', 'normal_contained_in': ['2.a1', '2.d1'], 'normal_contains': ['8.p1', '8.r1', '8.bc1', '8.bd1', '8.bh1'], 'normalizer': '1.a1', 'old_label': '4.ba1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.ba1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762245
    {'ambient': '1344.11566', 'aut_centralizer_order': 16128, 'aut_label': '672.c1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': '1.1', 'aut_weyl_index': 96768, 'centralizer': '6.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.c1', '224.c1', '336.d1', '336.l1'], 'contains': ['1344.a1'], 'core': '1344.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [525, -1, 2961, -1], 'generators': [11], 'label': '1344.11566.672.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '112.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.h1', 'old_label': '672.c1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.c1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71762246
    {'ambient': '1344.11566', 'aut_centralizer_order': 5376, 'aut_label': '672.d1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '1.1', 'aut_weyl_index': 96768, 'centralizer': '6.b1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['96.d1', '224.d1', '336.e1', '336.l1', '336.n1'], 'contains': ['1344.a1'], 'core': '1344.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [407, -1, 2918, -1], 'generators': [1], 'label': '1344.11566.672.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '112.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '672.d1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.d1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71762247
    {'ambient': '1344.11566', 'aut_centralizer_order': 3456, 'aut_label': '672.e1', 'aut_quo_index': None, 'aut_stab_index': 28, 'aut_weyl_group': '1.1', 'aut_weyl_index': 96768, 'centralizer': '14.k1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.e1', '224.e1', '336.f1', '336.n1'], 'contains': ['1344.a1'], 'core': '1344.a1', 'coset_action_label': None, 'count': 28, 'diagramx': [328, -1, 2833, -1], 'generators': [5], 'label': '1344.11566.672.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '14.k1', 'old_label': '672.e1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.e1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71762248
    {'ambient': '1344.11566', 'aut_centralizer_order': 384, 'aut_label': '672.f1', 'aut_quo_index': None, 'aut_stab_index': 252, 'aut_weyl_group': '1.1', 'aut_weyl_index': 96768, 'centralizer': '42.f1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['96.f1', '224.f1', '336.g1', '336.m1', '336.n1'], 'contains': ['1344.a1'], 'core': '1344.a1', 'coset_action_label': None, 'count': 252, 'diagramx': [967, -1, 3003, -1], 'generators': [28], 'label': '1344.11566.672.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '42.f1', 'old_label': '672.f1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '672.f1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71762249
    {'ambient': '1344.11566', 'aut_centralizer_order': None, 'aut_label': '1344.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['192.a1', '448.a1', '672.a1', '672.b1', '672.c1', '672.d1', '672.e1', '672.f1'], 'contains': [], 'core': '1344.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [565, 6579, 2939, 7039], 'generators': [], 'label': '1344.11566.1344.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '1344.a1', 'normal_contained_in': ['192.a1', '448.a1', '672.a1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '1344.a1', 'projective_image': '1344.11566', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1344.a1', 'subgroup_fusion': None, 'weyl_group': '1.1'}
  • id: 71762250
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '4.bb1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '672.a1', 'complements': ['336.m1', '336.n1', '336.l1'], 'conjugacy_class_count': 6, 'contained_in': ['2.c1', '2.e1', '2.k1'], 'contains': ['8.n1', '8.o1', '8.s1', '8.u1', '8.bb1', '12.bc1', '28.bc1'], 'core': '4.bb1', 'coset_action_label': None, 'count': 6, 'diagramx': [4864, 5900, 3792, 4714], 'generators': [5, 192, 1340, 16, 2, 448], 'label': '1344.11566.4.bb1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.bb1', 'normal_contained_in': ['2.c1', '2.e1', '2.k1'], 'normal_contains': ['8.n1', '8.o1', '8.s1', '8.u1', '8.bb1'], 'normalizer': '1.a1', 'old_label': '4.bb1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.bb1', 'subgroup_fusion': None, 'weyl_group': '672.1271'}
  • id: 71762251
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '4.bc1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '672.a1', 'complements': ['336.m1', '336.n1', '336.l1'], 'conjugacy_class_count': 6, 'contained_in': ['2.d1', '2.e1', '2.k1'], 'contains': ['8.o1', '8.r1', '8.s1', '8.x1', '8.bf1', '12.bd1', '28.bd1'], 'core': '4.bc1', 'coset_action_label': None, 'count': 6, 'diagramx': [4333, 2629, 4152, 2884], 'generators': [885, 192, 28, 16, 2, 448], 'label': '1344.11566.4.bc1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.bc1', 'normal_contained_in': ['2.d1', '2.e1', '2.k1'], 'normal_contains': ['8.o1', '8.r1', '8.s1', '8.x1', '8.bf1'], 'normalizer': '1.a1', 'old_label': '4.bc1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.bc1', 'subgroup_fusion': None, 'weyl_group': '672.1271'}
  • id: 71762252
    {'ambient': '1344.11566', 'aut_centralizer_order': 56, 'aut_label': '4.bd1', 'aut_quo_index': 3, 'aut_stab_index': 1, 'aut_weyl_group': '1728.47893', 'aut_weyl_index': 56, 'centralizer': '48.c1', 'complements': ['336.m1'], 'conjugacy_class_count': 1, 'contained_in': ['2.g1', '2.k1'], 'contains': ['8.q1', '8.s1', '8.bg1', '12.be1', '28.g1'], 'core': '4.bd1', 'coset_action_label': None, 'count': 1, 'diagramx': [8705, 9219, 5533, 8389], 'generators': [1, 448, 680, 192, 2, 16], 'label': '1344.11566.4.bd1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.bd1', 'normal_contained_in': ['2.g1', '2.k1'], 'normal_contains': ['8.q1', '8.s1', '8.bg1', '28.g1'], 'normalizer': '1.a1', 'old_label': '4.bd1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.bd1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762253
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '4.be1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': '3072.bjq', 'aut_weyl_index': 24, 'centralizer': '672.a1', 'complements': ['336.m1', '336.l1', '336.n1'], 'conjugacy_class_count': 6, 'contained_in': ['2.c1', '2.f1', '2.j1'], 'contains': ['8.t1', '8.u1', '8.z1', '8.bb1', '8.be1', '12.bf1', '28.be1'], 'core': '4.be1', 'coset_action_label': None, 'count': 6, 'diagramx': [4938, 5694, 4248, 4510], 'generators': [241, 192, 1340, 16, 2, 448], 'label': '1344.11566.4.be1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.be1', 'normal_contained_in': ['2.c1', '2.f1', '2.j1'], 'normal_contains': ['8.t1', '8.u1', '8.z1', '8.bb1', '8.be1'], 'normalizer': '1.a1', 'old_label': '4.be1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.be1', 'subgroup_fusion': None, 'weyl_group': '672.1271'}
  • id: 71762254
    {'ambient': '1344.11566', 'aut_centralizer_order': 12, 'aut_label': '4.bf1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '224.a1', 'complements': ['336.m1', '336.l1', '336.n1'], 'conjugacy_class_count': 2, 'contained_in': ['2.h1', '2.j1', '2.k1'], 'contains': ['8.u1', '8.bf1', '8.bg1', '12.e1', '28.bf1'], 'core': '4.bf1', 'coset_action_label': None, 'count': 2, 'diagramx': [7352, 8619, 5225, 6799], 'generators': [5, 192, 680, 448, 2, 16], 'label': '1344.11566.4.bf1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.bf1', 'normal_contained_in': ['2.h1', '2.j1', '2.k1'], 'normal_contains': ['8.u1', '8.bf1', '8.bg1', '12.e1'], 'normalizer': '1.a1', 'old_label': '4.bf1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.bf1', 'subgroup_fusion': None, 'weyl_group': '224.196'}
  • id: 71762255
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '4.bg1', 'aut_quo_index': 6, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '672.a1', 'complements': ['336.m1', '336.n1', '336.l1'], 'conjugacy_class_count': 6, 'contained_in': ['2.d1', '2.f1', '2.j1'], 'contains': ['8.x1', '8.z1', '8.be1', '8.bf1', '8.bh1', '12.bg1', '28.bg1'], 'core': '4.bg1', 'coset_action_label': None, 'count': 6, 'diagramx': [4523, 3174, 4537, 2650], 'generators': [241, 192, 28, 16, 2, 448], 'label': '1344.11566.4.bg1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.bg1', 'normal_contained_in': ['2.d1', '2.f1', '2.j1'], 'normal_contains': ['8.x1', '8.z1', '8.be1', '8.bf1', '8.bh1'], 'normalizer': '1.a1', 'old_label': '4.bg1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.bg1', 'subgroup_fusion': None, 'weyl_group': '672.1271'}
  • id: 71762256
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '4.bh1', 'aut_quo_index': 6, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 8, 'centralizer': '672.a1', 'complements': ['336.n1', '336.l1'], 'conjugacy_class_count': 2, 'contained_in': ['2.i1', '2.j1', '2.k1'], 'contains': ['8.x1', '8.bb1', '8.bg1', '12.bh1', '28.bh1'], 'core': '4.bh1', 'coset_action_label': None, 'count': 2, 'diagramx': [8922, 7853, 5013, 6218], 'generators': [2, 192, 696, 16, 28, 448], 'label': '1344.11566.4.bh1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.bh1', 'normal_contained_in': ['2.i1', '2.j1', '2.k1'], 'normal_contains': ['8.x1', '8.bb1', '8.bg1'], 'normalizer': '1.a1', 'old_label': '4.bh1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '4.bh1', 'subgroup_fusion': None, 'weyl_group': '672.1271'}
  • id: 71762257
    {'ambient': '1344.11566', 'aut_centralizer_order': 12, 'aut_label': '6.a1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 12, 'centralizer': '112.f1', 'complements': ['224.f1', '224.d1', '224.c1'], 'conjugacy_class_count': 1, 'contained_in': ['2.h1', '3.a1'], 'contains': ['12.a1', '12.b1', '12.c1', '12.d1', '12.e1', '42.h1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9289, 9795, 5442, 8165], 'generators': [5, 192, 8, 672, 2, 16], 'label': '1344.11566.6.a1', 'mobius_quo': 0, 'mobius_sub': 3, 'normal_closure': '6.a1', 'normal_contained_in': ['2.h1'], 'normal_contains': ['12.a1', '12.b1', '12.c1', '12.d1', '12.e1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71762258
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': '1344.11434', 'aut_weyl_index': 72, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.a1', '12.f1', '12.h1', '12.l1', '12.m1', '12.s1', '12.t1', '12.u1', '12.x1', '12.y1', '12.bb1', '42.a1'], 'core': '12.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [6627, -1, 3050, -1], 'generators': [5, 192, 8, 672, 6, 16], 'label': '1344.11566.6.b1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.b1', 'projective_image': '672.1271', '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': '56.12'}
  • id: 71762259
    {'ambient': '1344.11566', 'aut_centralizer_order': 2, 'aut_label': '2.d1', 'aut_quo_index': 1, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '672.a1', 'complements': ['672.f1', '672.b1', '672.e1', '672.c1', '672.d1'], 'conjugacy_class_count': 3, 'contained_in': ['1.a1'], 'contains': ['4.e1', '4.f1', '4.i1', '4.l1', '4.y1', '4.ba1', '4.bc1', '4.bg1', '6.e1', '14.e1'], 'core': '2.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [3952, 3174, 4152, 2884], 'generators': [1, 448, 8, 672, 6, 192, 16], 'label': '1344.11566.2.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.e1', '4.f1', '4.i1', '4.l1', '4.y1', '4.ba1', '4.bc1', '4.bg1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': '672.1271'}
  • id: 71762260
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': None, 'aut_weyl_index': 36, 'centralizer': '168.i1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.b1', '12.g1', '12.h1', '12.n1', '12.o1', '12.u1', '12.v1', '12.z1', '12.ba1', '42.b1'], 'core': '12.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [8274, -1, 3904, -1], 'generators': [1, 192, 868, 8, 2, 16], 'label': '1344.11566.6.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.c1', 'projective_image': '672.1271', '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': '56.12'}
  • id: 71762261
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': None, 'aut_weyl_index': 36, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['2.c1', '3.a1'], 'contains': ['12.a1', '12.i1', '12.k1', '12.o1', '12.y1', '12.z1', '12.bc1', '12.bf1', '42.c1'], 'core': '12.a1', 'coset_action_label': None, 'count': 9, 'diagramx': [7845, -1, 4845, -1], 'generators': [5, 192, 1316, 8, 2, 16], 'label': '1344.11566.6.d1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.d1', 'projective_image': '672.1271', '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': '112.42'}
  • id: 71762262
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': 9, 'aut_weyl_group': None, 'aut_weyl_index': 36, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['2.d1', '3.a1'], 'contains': ['12.b1', '12.j1', '12.k1', '12.m1', '12.z1', '12.bb1', '12.bd1', '12.bg1', '42.d1'], 'core': '12.b1', 'coset_action_label': None, 'count': 9, 'diagramx': [7627, -1, 4940, -1], 'generators': [1, 192, 8, 672, 6, 16], 'label': '1344.11566.6.e1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.e1', 'projective_image': '672.1271', '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': '112.42'}
  • id: 71762263
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '1344.11434', 'aut_weyl_index': 72, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['2.e1', '3.a1'], 'contains': ['12.c1', '12.f1', '12.g1', '12.i1', '12.j1', '12.p1', '12.r1', '12.s1', '12.v1', '12.bc1', '12.bd1', '42.e1'], 'core': '12.c1', 'coset_action_label': None, 'count': 18, 'diagramx': [7471, -1, 4343, -1], 'generators': [5, 192, 28, 672, 2, 16], 'label': '1344.11566.6.f1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.f1', 'projective_image': '672.1271', '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': '112.42'}
  • id: 71762264
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '1344.11434', 'aut_weyl_index': 72, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['2.f1', '3.a1'], 'contains': ['12.c1', '12.i1', '12.j1', '12.l1', '12.n1', '12.q1', '12.r1', '12.x1', '12.ba1', '12.bf1', '12.bg1', '42.f1'], 'core': '12.c1', 'coset_action_label': None, 'count': 18, 'diagramx': [8432, -1, 4622, -1], 'generators': [1, 192, 28, 672, 2, 16], 'label': '1344.11566.6.g1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.g1', 'projective_image': '672.1271', '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': '112.42'}
  • id: 71762265
    {'ambient': '1344.11566', 'aut_centralizer_order': 56, 'aut_label': '6.h1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': '576.8668', 'aut_weyl_index': 168, 'centralizer': '24.q1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.g1', '3.a1'], 'contains': ['12.d1', '12.h1', '12.k1', '12.p1', '12.q1', '12.w1', '12.be1', '42.g1'], 'core': '12.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [9172, -1, 5959, -1], 'generators': [1, 16, 8, 672, 2, 192], 'label': '1344.11566.6.h1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.h1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.h1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762266
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '6.i1', 'aut_quo_index': None, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 12, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.i1', '3.a1'], 'contains': ['12.d1', '12.m1', '12.o1', '12.r1', '12.bh1', '42.i1'], 'core': '12.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [8804, -1, 5346, -1], 'generators': [2, 192, 8, 672, 4, 16], 'label': '1344.11566.6.i1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.i1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.i1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71762267
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '6.j1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.j1', '3.a1'], 'contains': ['12.e1', '12.s1', '12.v1', '12.w1', '12.bf1', '12.bg1', '12.bh1', '42.j1'], 'core': '12.e1', 'coset_action_label': None, 'count': 6, 'diagramx': [9359, -1, 5732, -1], 'generators': [5, 192, 28, 680, 2, 16], 'label': '1344.11566.6.j1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.j1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.j1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71762268
    {'ambient': '1344.11566', 'aut_centralizer_order': 4, 'aut_label': '6.k1', 'aut_quo_index': None, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 24, 'centralizer': '336.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.k1', '3.a1'], 'contains': ['12.e1', '12.x1', '12.ba1', '12.bc1', '12.bd1', '12.be1', '12.bh1', '42.k1'], 'core': '12.e1', 'coset_action_label': None, 'count': 6, 'diagramx': [9057, -1, 5639, -1], 'generators': [1, 192, 28, 680, 2, 16], 'label': '1344.11566.6.k1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.k1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.k1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71762269
    {'ambient': '1344.11566', 'aut_centralizer_order': 6, 'aut_label': '7.a1', 'aut_quo_index': None, 'aut_stab_index': 7, 'aut_weyl_group': None, 'aut_weyl_index': 42, 'centralizer': '672.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['14.a1', '14.b1', '14.c1', '14.d1', '14.e1', '14.f1', '14.g1', '14.h1', '14.i1', '14.j1', '14.k1', '21.a1'], 'core': '14.a1', 'coset_action_label': None, 'count': 7, 'diagramx': [5043, -1, 7727, -1], 'generators': [1, 16, 672, 2, 448, 4, 8], 'label': '1344.11566.7.a1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '7.a1', 'old_label': '7.a1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.a1', 'subgroup_fusion': None, 'weyl_group': '96.230'}
  • id: 71762270
    {'ambient': '1344.11566', 'aut_centralizer_order': 2, 'aut_label': '2.e1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 12, 'centralizer': '672.a1', 'complements': ['672.f1', '672.b1', '672.d1', '672.e1'], 'conjugacy_class_count': 6, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.d1', '4.e1', '4.m1', '4.o1', '4.p1', '4.r1', '4.u1', '4.bb1', '4.bc1', '6.f1', '14.f1'], 'core': '2.e1', 'coset_action_label': None, 'count': 6, 'diagramx': [4796, 4366, 3479, 3923], 'generators': [5, 448, 28, 672, 2, 192, 16], 'label': '1344.11566.2.e1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.d1', '4.e1', '4.m1', '4.o1', '4.p1', '4.r1', '4.u1', '4.bb1', '4.bc1'], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.e1', 'subgroup_fusion': None, 'weyl_group': '672.1271'}
  • id: 71762271
    {'ambient': '1344.11566', 'aut_centralizer_order': 224, 'aut_label': '8.a1', 'aut_quo_index': 42, 'aut_stab_index': 3, 'aut_weyl_group': '144.195', 'aut_weyl_index': 672, 'centralizer': '24.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.a1', '4.b1', '4.c1', '4.m1'], 'contains': ['16.a1', '16.b1', '16.c1', '16.l1', '24.j1', '56.a1'], 'core': '8.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [887, 5114, 704, 5537], 'generators': [1, 16, 192, 10, 448], 'label': '1344.11566.8.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1', '4.m1'], 'normal_contains': ['16.a1', '16.b1', '16.c1', '56.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': '672.1271', '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': '24.14'}
  • id: 71762272
    {'ambient': '1344.11566', 'aut_centralizer_order': 112, 'aut_label': '8.b1', 'aut_quo_index': 84, 'aut_stab_index': 6, 'aut_weyl_group': '144.195', 'aut_weyl_index': 672, 'centralizer': '48.c1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.d1', '4.e1', '4.f1', '4.m1', '4.n1'], 'contains': ['16.a1', '16.c1', '16.i1', '24.k1', '56.b1'], 'core': '8.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [2816, 6555, 2376, 6294], 'generators': [241, 192, 16, 10, 448], 'label': '1344.11566.8.b1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.b1', 'normal_contained_in': ['4.d1', '4.e1', '4.f1', '4.m1', '4.n1'], 'normal_contains': ['16.a1', '16.c1', '16.i1', '56.b1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762273
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '8.c1', 'aut_quo_index': 84, 'aut_stab_index': 6, 'aut_weyl_group': '336.216', 'aut_weyl_index': 288, 'centralizer': '112.e1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '4.d1', '4.g1', '4.h1', '4.o1'], 'contains': ['16.a1', '16.d1', '16.j1', '24.a1', '56.m1'], 'core': '8.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [1382, 2492, 971, 2426], 'generators': [5, 448, 16, 10, 192], 'label': '1344.11566.8.c1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.c1', 'normal_contained_in': ['4.a1', '4.d1', '4.g1', '4.h1', '4.o1'], 'normal_contains': ['16.a1', '16.d1', '16.j1', '24.a1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71762274
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '8.d1', 'aut_quo_index': 84, 'aut_stab_index': 6, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 96, 'centralizer': '336.c1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '4.e1', '4.g1', '4.i1', '4.p1'], 'contains': ['16.a1', '16.e1', '16.k1', '24.l1', '56.n1'], 'core': '8.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [1301, 1015, 809, 1147], 'generators': [674, 16, 448, 1340, 192], 'label': '1344.11566.8.d1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.d1', 'normal_contained_in': ['4.a1', '4.e1', '4.g1', '4.i1', '4.p1'], 'normal_contains': ['16.a1', '16.e1', '16.k1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762275
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '8.e1', 'aut_quo_index': 84, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '336.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.b1', '4.d1', '4.j1', '4.k1', '4.p1'], 'contains': ['16.a1', '16.e1', '16.m1', '24.m1', '56.o1'], 'core': '8.e1', 'coset_action_label': None, 'count': 6, 'diagramx': [1160, 4326, 1224, 3878], 'generators': [674, 16, 448, 28, 192], 'label': '1344.11566.8.e1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.e1', 'normal_contained_in': ['4.b1', '4.d1', '4.j1', '4.k1', '4.p1'], 'normal_contains': ['16.a1', '16.e1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762276
    {'ambient': '1344.11566', 'aut_centralizer_order': 672, 'aut_label': '8.f1', 'aut_quo_index': 168, 'aut_stab_index': 3, 'aut_weyl_group': '48.52', 'aut_weyl_index': 2016, 'centralizer': '8.f1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.c1', '4.f1', '4.h1', '4.i1', '4.k1', '4.l1', '4.q1'], 'contains': ['16.a1', '16.f1', '16.g1', '24.b1', '56.c1'], 'core': '8.f1', 'coset_action_label': None, 'count': 3, 'diagramx': [3089, 8056, 3183, 6734], 'generators': [2, 448, 192, 8, 16], 'label': '1344.11566.8.f1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.f1', 'normal_contained_in': ['4.c1', '4.f1', '4.h1', '4.i1', '4.k1', '4.l1', '4.q1'], 'normal_contains': ['16.a1', '16.f1', '16.g1', '24.b1', '56.c1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': '672.1271', 'quotient_action_image': '8.5', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762277
    {'ambient': '1344.11566', 'aut_centralizer_order': 224, 'aut_label': '8.g1', 'aut_quo_index': 42, 'aut_stab_index': 3, 'aut_weyl_group': '144.195', 'aut_weyl_index': 672, 'centralizer': '24.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.c1', '4.g1', '4.j1', '4.n1'], 'contains': ['16.a1', '16.h1', '16.i1', '24.n1', '56.d1'], 'core': '8.g1', 'coset_action_label': None, 'count': 3, 'diagramx': [2928, 6818, 1434, 5227], 'generators': [3, 192, 16, 10, 448], 'label': '1344.11566.8.g1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.g1', 'normal_contained_in': ['4.c1', '4.g1', '4.j1', '4.n1'], 'normal_contains': ['16.a1', '16.h1', '16.i1', '56.d1'], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762278
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '8.h1', 'aut_quo_index': 84, 'aut_stab_index': 6, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '112.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.b1', '4.e1', '4.j1', '4.l1', '4.o1'], 'contains': ['16.a1', '16.j1', '24.c1', '56.p1'], 'core': '8.h1', 'coset_action_label': None, 'count': 6, 'diagramx': [3588, 4820, 1593, 4601], 'generators': [885, 448, 16, 10, 192], 'label': '1344.11566.8.h1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.h1', 'normal_contained_in': ['4.b1', '4.e1', '4.j1', '4.l1', '4.o1'], 'normal_contains': ['16.a1', '16.j1', '24.c1'], 'normalizer': '1.a1', 'old_label': '8.h1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71762279
    {'ambient': '1344.11566', 'aut_centralizer_order': 336, 'aut_label': '8.i1', 'aut_quo_index': 84, 'aut_stab_index': 3, 'aut_weyl_group': '96.221', 'aut_weyl_index': 1008, 'centralizer': '16.f1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.m1', '4.n1', '4.o1', '4.p1', '4.q1'], 'contains': ['16.a1', '16.g1', '24.d1', '56.e1'], 'core': '8.i1', 'coset_action_label': None, 'count': 3, 'diagramx': [5726, 7608, 4143, 7820], 'generators': [674, 448, 192, 680, 16], 'label': '1344.11566.8.i1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.i1', 'normal_contained_in': ['4.m1', '4.n1', '4.o1', '4.p1', '4.q1'], 'normal_contains': ['16.a1', '16.g1', '24.d1', '56.e1'], 'normalizer': '1.a1', 'old_label': '8.i1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 71762280
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '8.j1', 'aut_quo_index': 28, 'aut_stab_index': 2, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 96, 'centralizer': '168.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.r1', '4.s1'], 'contains': ['16.b1', '16.d1', '16.k1', '24.o1', '56.q1'], 'core': '8.j1', 'coset_action_label': None, 'count': 2, 'diagramx': [986, 74, 30, 565], 'generators': [5, 16, 448, 30, 192], 'label': '1344.11566.8.j1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.j1', 'normal_contained_in': ['4.a1', '4.r1', '4.s1'], 'normal_contains': ['16.b1', '16.d1', '16.k1'], 'normalizer': '1.a1', 'old_label': '8.j1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 71762281
    {'ambient': '1344.11566', 'aut_centralizer_order': 2, 'aut_label': '2.f1', 'aut_quo_index': 1, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 12, 'centralizer': '672.a1', 'complements': ['672.f1', '672.b1', '672.d1', '672.e1', '672.c1'], 'conjugacy_class_count': 6, 'contained_in': ['1.a1'], 'contains': ['4.d1', '4.e1', '4.g1', '4.j1', '4.n1', '4.o1', '4.p1', '4.w1', '4.z1', '4.be1', '4.bg1', '6.g1', '14.g1'], 'core': '2.f1', 'coset_action_label': None, 'count': 6, 'diagramx': [4319, 4795, 3603, 3516], 'generators': [1, 448, 28, 672, 2, 192, 16], 'label': '1344.11566.2.f1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.f1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.d1', '4.e1', '4.g1', '4.j1', '4.n1', '4.o1', '4.p1', '4.w1', '4.z1', '4.be1', '4.bg1'], 'normalizer': '1.a1', 'old_label': '2.f1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.f1', 'subgroup_fusion': None, 'weyl_group': '672.1271'}
  • id: 71762282
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '8.k1', 'aut_quo_index': 84, 'aut_stab_index': 6, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 96, 'centralizer': '168.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '4.b1', '4.r1', '4.t1', '4.u1'], 'contains': ['16.b1', '16.e1', '16.j1', '24.p1', '56.r1'], 'core': '8.k1', 'coset_action_label': None, 'count': 6, 'diagramx': [1568, 3268, 879, 2200], 'generators': [7, 16, 448, 28, 192], 'label': '1344.11566.8.k1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.k1', 'normal_contained_in': ['4.a1', '4.b1', '4.r1', '4.t1', '4.u1'], 'normal_contains': ['16.b1', '16.e1', '16.j1'], 'normalizer': '1.a1', 'old_label': '8.k1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 71762283
    {'ambient': '1344.11566', 'aut_centralizer_order': 672, 'aut_label': '8.l1', 'aut_quo_index': 28, 'aut_stab_index': 1, 'aut_weyl_group': '144.195', 'aut_weyl_index': 672, 'centralizer': '12.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.c1', '4.s1', '4.t1'], 'contains': ['16.b1', '16.f1', '16.h1', '24.q1', '56.f1'], 'core': '8.l1', 'coset_action_label': None, 'count': 1, 'diagramx': [1922, 4580, 211, 3628], 'generators': [3, 192, 16, 8, 448], 'label': '1344.11566.8.l1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.l1', 'normal_contained_in': ['4.c1', '4.s1', '4.t1'], 'normal_contains': ['16.b1', '16.f1', '16.h1', '56.f1'], 'normalizer': '1.a1', 'old_label': '8.l1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1', 'subgroup_fusion': None, 'weyl_group': '12.4'}
  • id: 71762284
    {'ambient': '1344.11566', 'aut_centralizer_order': 224, 'aut_label': '8.m1', 'aut_quo_index': 84, 'aut_stab_index': 3, 'aut_weyl_group': '144.195', 'aut_weyl_index': 672, 'centralizer': '24.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.c1', '4.m1', '4.r1', '4.u1', '4.v1'], 'contains': ['16.b1', '16.g1', '16.i1', '24.r1', '56.g1'], 'core': '8.m1', 'coset_action_label': None, 'count': 3, 'diagramx': [4638, 7077, 3375, 5825], 'generators': [243, 192, 16, 680, 448], 'label': '1344.11566.8.m1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.m1', 'normal_contained_in': ['4.c1', '4.m1', '4.r1', '4.u1', '4.v1'], 'normal_contains': ['16.b1', '16.g1', '16.i1', '56.g1'], 'normalizer': '1.a1', 'old_label': '8.m1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762285
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '8.n1', 'aut_quo_index': 84, 'aut_stab_index': 6, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 96, 'centralizer': '336.c1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '4.d1', '4.w1', '4.x1', '4.bb1'], 'contains': ['16.c1', '16.d1', '16.e1', '16.n1', '24.s1', '56.s1'], 'core': '8.n1', 'coset_action_label': None, 'count': 6, 'diagramx': [663, 2787, 572, 1555], 'generators': [1, 16, 448, 28, 192], 'label': '1344.11566.8.n1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.n1', 'normal_contained_in': ['4.a1', '4.d1', '4.w1', '4.x1', '4.bb1'], 'normal_contains': ['16.c1', '16.d1', '16.e1'], 'normalizer': '1.a1', 'old_label': '8.n1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.n1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762286
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '8.o1', 'aut_quo_index': 168, 'aut_stab_index': 12, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 96, 'centralizer': '336.a1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['4.b1', '4.d1', '4.e1', '4.y1', '4.z1', '4.bb1', '4.bc1'], 'contains': ['16.c1', '16.e1', '16.j1', '24.t1', '56.t1'], 'core': '8.o1', 'coset_action_label': None, 'count': 12, 'diagramx': [2448, 3802, 1942, 3186], 'generators': [885, 16, 448, 28, 192], 'label': '1344.11566.8.o1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.o1', 'normal_contained_in': ['4.b1', '4.d1', '4.e1', '4.y1', '4.z1', '4.bb1', '4.bc1'], 'normal_contains': ['16.c1', '16.e1', '16.j1'], 'normalizer': '1.a1', 'old_label': '8.o1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.o1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762287
    {'ambient': '1344.11566', 'aut_centralizer_order': 224, 'aut_label': '8.p1', 'aut_quo_index': 84, 'aut_stab_index': 3, 'aut_weyl_group': '144.195', 'aut_weyl_index': 672, 'centralizer': '24.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.c1', '4.f1', '4.x1', '4.y1', '4.ba1'], 'contains': ['16.c1', '16.f1', '16.i1', '24.u1', '56.h1'], 'core': '8.p1', 'coset_action_label': None, 'count': 3, 'diagramx': [2540, 5406, 1859, 4364], 'generators': [1, 192, 16, 8, 448], 'label': '1344.11566.8.p1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.p1', 'normal_contained_in': ['4.c1', '4.f1', '4.x1', '4.y1', '4.ba1'], 'normal_contains': ['16.c1', '16.f1', '16.i1', '56.h1'], 'normalizer': '1.a1', 'old_label': '8.p1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.p1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762288
    {'ambient': '1344.11566', 'aut_centralizer_order': 224, 'aut_label': '8.q1', 'aut_quo_index': 84, 'aut_stab_index': 3, 'aut_weyl_group': '144.195', 'aut_weyl_index': 672, 'centralizer': '24.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.c1', '4.n1', '4.w1', '4.z1', '4.bd1'], 'contains': ['16.c1', '16.g1', '16.h1', '24.v1', '56.i1'], 'core': '8.q1', 'coset_action_label': None, 'count': 3, 'diagramx': [3857, 8536, 3280, 6057], 'generators': [3, 192, 16, 680, 448], 'label': '1344.11566.8.q1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.q1', 'normal_contained_in': ['4.c1', '4.n1', '4.w1', '4.z1', '4.bd1'], 'normal_contains': ['16.c1', '16.g1', '16.h1', '56.i1'], 'normalizer': '1.a1', 'old_label': '8.q1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.q1', 'subgroup_fusion': None, 'weyl_group': '24.14'}
  • id: 71762289
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '8.r1', 'aut_quo_index': 84, 'aut_stab_index': 6, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 96, 'centralizer': '336.c1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '4.e1', '4.w1', '4.ba1', '4.bc1'], 'contains': ['16.c1', '16.j1', '16.k1', '24.w1', '56.u1'], 'core': '8.r1', 'coset_action_label': None, 'count': 6, 'diagramx': [2374, 634, 1327, 942], 'generators': [1, 16, 448, 30, 192], 'label': '1344.11566.8.r1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.r1', 'normal_contained_in': ['4.a1', '4.e1', '4.w1', '4.ba1', '4.bc1'], 'normal_contains': ['16.c1', '16.j1', '16.k1'], 'normalizer': '1.a1', 'old_label': '8.r1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.r1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762290
    {'ambient': '1344.11566', 'aut_centralizer_order': 112, 'aut_label': '8.s1', 'aut_quo_index': 84, 'aut_stab_index': 3, 'aut_weyl_group': '288.992', 'aut_weyl_index': 336, 'centralizer': '48.c1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.f1', '4.m1', '4.bb1', '4.bc1', '4.bd1'], 'contains': ['16.c1', '16.g1', '24.x1', '56.j1'], 'core': '8.s1', 'coset_action_label': None, 'count': 3, 'diagramx': [5402, 7314, 4835, 7209], 'generators': [1, 192, 16, 680, 448], 'label': '1344.11566.8.s1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.s1', 'normal_contained_in': ['4.f1', '4.m1', '4.bb1', '4.bc1', '4.bd1'], 'normal_contains': ['16.c1', '16.g1', '56.j1'], 'normalizer': '1.a1', 'old_label': '8.s1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.s1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762291
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '8.t1', 'aut_quo_index': 84, 'aut_stab_index': 6, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 96, 'centralizer': '336.c1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.d1', '4.g1', '4.r1', '4.x1', '4.be1'], 'contains': ['16.d1', '16.e1', '16.i1', '24.y1', '56.v1'], 'core': '8.t1', 'coset_action_label': None, 'count': 6, 'diagramx': [1239, 2263, 1134, 1318], 'generators': [5, 16, 448, 28, 192], 'label': '1344.11566.8.t1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.t1', 'normal_contained_in': ['4.d1', '4.g1', '4.r1', '4.x1', '4.be1'], 'normal_contains': ['16.d1', '16.e1', '16.i1'], 'normalizer': '1.a1', 'old_label': '8.t1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.t1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762292
    {'ambient': '1344.11566', 'aut_centralizer_order': 28, 'aut_label': '2.g1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 28, 'centralizer': '48.c1', 'complements': ['672.f1', '672.e1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.c1', '4.f1', '4.m1', '4.n1', '4.q1', '4.v1', '4.bd1', '6.h1', '14.a1'], 'core': '2.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [5384, 8344, 5096, 7620], 'generators': [1, 16, 8, 672, 2, 448, 192], 'label': '1344.11566.2.g1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.g1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.c1', '4.f1', '4.m1', '4.n1', '4.q1', '4.v1', '4.bd1', '14.a1'], 'normalizer': '1.a1', 'old_label': '2.g1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.g1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762293
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '8.u1', 'aut_quo_index': 168, 'aut_stab_index': 6, 'aut_weyl_group': '336.216', 'aut_weyl_index': 288, 'centralizer': '112.e1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.h1', '4.o1', '4.r1', '4.w1', '4.bb1', '4.be1', '4.bf1'], 'contains': ['16.d1', '16.g1', '16.j1', '24.e1', '56.w1'], 'core': '8.u1', 'coset_action_label': None, 'count': 6, 'diagramx': [4543, 5698, 3087, 4129], 'generators': [5, 448, 16, 680, 192], 'label': '1344.11566.8.u1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.u1', 'normal_contained_in': ['4.h1', '4.o1', '4.r1', '4.w1', '4.bb1', '4.be1', '4.bf1'], 'normal_contains': ['16.d1', '16.g1', '16.j1', '24.e1'], 'normalizer': '1.a1', 'old_label': '8.u1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.u1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71762294
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '8.v1', 'aut_quo_index': 28, 'aut_stab_index': 2, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 96, 'centralizer': '168.c1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['4.g1', '4.s1', '4.w1'], 'contains': ['16.d1', '16.h1', '16.k1', '24.z1', '56.x1'], 'core': '8.v1', 'coset_action_label': None, 'count': 2, 'diagramx': [1642, 1494, 114, 360], 'generators': [3, 16, 448, 30, 192], 'label': '1344.11566.8.v1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.v1', 'normal_contained_in': ['4.g1', '4.s1', '4.w1'], 'normal_contains': ['16.d1', '16.h1', '16.k1'], 'normalizer': '1.a1', 'old_label': '8.v1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.v1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 71762295
    {'ambient': '1344.11566', 'aut_centralizer_order': 144, 'aut_label': '8.w1', 'aut_quo_index': 28, 'aut_stab_index': 1, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '56.l1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.h1', '4.s1', '4.x1'], 'contains': ['16.d1', '16.f1', '24.f1', '56.y1'], 'core': '8.w1', 'coset_action_label': None, 'count': 1, 'diagramx': [1474, 3061, 307, 1825], 'generators': [5, 448, 16, 8, 192], 'label': '1344.11566.8.w1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.w1', 'normal_contained_in': ['4.h1', '4.s1', '4.x1'], 'normal_contains': ['16.d1', '16.f1', '24.f1'], 'normalizer': '1.a1', 'old_label': '8.w1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.w1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71762296
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '8.x1', 'aut_quo_index': 168, 'aut_stab_index': 6, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 96, 'centralizer': '336.c1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.i1', '4.p1', '4.r1', '4.w1', '4.bc1', '4.bg1', '4.bh1'], 'contains': ['16.e1', '16.g1', '16.k1', '24.ba1', '56.z1'], 'core': '8.x1', 'coset_action_label': None, 'count': 6, 'diagramx': [4109, 2021, 2990, 2683], 'generators': [2, 16, 448, 28, 192], 'label': '1344.11566.8.x1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.x1', 'normal_contained_in': ['4.i1', '4.p1', '4.r1', '4.w1', '4.bc1', '4.bg1', '4.bh1'], 'normal_contains': ['16.e1', '16.g1', '16.k1'], 'normalizer': '1.a1', 'old_label': '8.x1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.x1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762297
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '8.y1', 'aut_quo_index': 84, 'aut_stab_index': 6, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 96, 'centralizer': '168.b1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.g1', '4.j1', '4.t1', '4.w1', '4.z1'], 'contains': ['16.e1', '16.h1', '16.j1', '24.bb1', '56.ba1'], 'core': '8.y1', 'coset_action_label': None, 'count': 6, 'diagramx': [2697, 3976, 1064, 2029], 'generators': [3, 16, 448, 28, 192], 'label': '1344.11566.8.y1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.y1', 'normal_contained_in': ['4.g1', '4.j1', '4.t1', '4.w1', '4.z1'], 'normal_contains': ['16.e1', '16.h1', '16.j1'], 'normalizer': '1.a1', 'old_label': '8.y1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.y1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 71762298
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '8.z1', 'aut_quo_index': 168, 'aut_stab_index': 12, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 96, 'centralizer': '336.a1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['4.d1', '4.e1', '4.j1', '4.u1', '4.y1', '4.be1', '4.bg1'], 'contains': ['16.e1', '16.i1', '16.j1', '24.bc1', '56.bb1'], 'core': '8.z1', 'coset_action_label': None, 'count': 12, 'diagramx': [3778, 3629, 2012, 3015], 'generators': [241, 16, 448, 28, 192], 'label': '1344.11566.8.z1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.z1', 'normal_contained_in': ['4.d1', '4.e1', '4.j1', '4.u1', '4.y1', '4.be1', '4.bg1'], 'normal_contains': ['16.e1', '16.i1', '16.j1'], 'normalizer': '1.a1', 'old_label': '8.z1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.z1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762299
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '8.ba1', 'aut_quo_index': 84, 'aut_stab_index': 3, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '168.b1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.i1', '4.k1', '4.t1', '4.x1', '4.y1'], 'contains': ['16.e1', '16.f1', '24.bd1', '56.bc1'], 'core': '8.ba1', 'coset_action_label': None, 'count': 3, 'diagramx': [1857, 4127, 1517, 2865], 'generators': [1318, 16, 448, 8, 192], 'label': '1344.11566.8.ba1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.ba1', 'normal_contained_in': ['4.i1', '4.k1', '4.t1', '4.x1', '4.y1'], 'normal_contains': ['16.e1', '16.f1'], 'normalizer': '1.a1', 'old_label': '8.ba1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ba1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 71762300
    {'ambient': '1344.11566', 'aut_centralizer_order': 8, 'aut_label': '8.bb1', 'aut_quo_index': 168, 'aut_stab_index': 6, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '336.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.k1', '4.p1', '4.u1', '4.z1', '4.bb1', '4.be1', '4.bh1'], 'contains': ['16.e1', '16.g1', '24.be1', '56.bd1'], 'core': '8.bb1', 'coset_action_label': None, 'count': 6, 'diagramx': [5660, 6369, 3985, 4784], 'generators': [2, 16, 448, 1340, 192], 'label': '1344.11566.8.bb1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.bb1', 'normal_contained_in': ['4.k1', '4.p1', '4.u1', '4.z1', '4.bb1', '4.be1', '4.bh1'], 'normal_contains': ['16.e1', '16.g1'], 'normalizer': '1.a1', 'old_label': '8.bb1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bb1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762301
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '8.bc1', 'aut_quo_index': 84, 'aut_stab_index': 3, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '56.e1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.h1', '4.l1', '4.t1', '4.y1', '4.ba1'], 'contains': ['16.f1', '16.j1', '24.g1', '56.be1'], 'core': '8.bc1', 'coset_action_label': None, 'count': 3, 'diagramx': [3193, 5940, 1761, 3391], 'generators': [7, 448, 16, 8, 192], 'label': '1344.11566.8.bc1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.bc1', 'normal_contained_in': ['4.h1', '4.l1', '4.t1', '4.y1', '4.ba1'], 'normal_contains': ['16.f1', '16.j1', '24.g1'], 'normalizer': '1.a1', 'old_label': '8.bc1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bc1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71762302
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '8.bd1', 'aut_quo_index': 28, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '168.c1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.i1', '4.s1', '4.ba1'], 'contains': ['16.f1', '16.k1', '24.bf1', '56.bf1'], 'core': '8.bd1', 'coset_action_label': None, 'count': 1, 'diagramx': [1755, 382, 391, 154], 'generators': [6, 16, 448, 8, 192], 'label': '1344.11566.8.bd1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.bd1', 'normal_contained_in': ['4.i1', '4.s1', '4.ba1'], 'normal_contains': ['16.f1', '16.k1'], 'normalizer': '1.a1', 'old_label': '8.bd1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bd1', 'subgroup_fusion': None, 'weyl_group': '168.50'}
  • id: 71762303
    {'ambient': '1344.11566', 'aut_centralizer_order': 6, 'aut_label': '2.h1', 'aut_quo_index': 1, 'aut_stab_index': 1, 'aut_weyl_group': None, 'aut_weyl_index': 6, 'centralizer': '224.a1', 'complements': ['672.f1', '672.d1', '672.c1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.h1', '4.l1', '4.o1', '4.q1', '4.bf1', '6.a1', '14.h1'], 'core': '2.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [5245, 6991, 4584, 6013], 'generators': [5, 16, 8, 672, 2, 192, 448], 'label': '1344.11566.2.h1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.h1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.h1', '4.l1', '4.o1', '4.q1', '4.bf1', '6.a1'], 'normalizer': '1.a1', 'old_label': '2.h1', 'projective_image': '672.1271', 'quotient_action_image': '2.1', 'quotient_action_kernel': '1.1', 'quotient_action_kernel_order': 1, 'quotient_fusion': None, 'short_label': '2.h1', 'subgroup_fusion': None, 'weyl_group': '224.196'}
  • id: 71762304
    {'ambient': '1344.11566', 'aut_centralizer_order': 112, 'aut_label': '8.be1', 'aut_quo_index': 84, 'aut_stab_index': 3, 'aut_weyl_group': '288.992', 'aut_weyl_index': 336, 'centralizer': '48.c1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['4.f1', '4.n1', '4.v1', '4.be1', '4.bg1'], 'contains': ['16.g1', '16.i1', '24.bg1', '56.k1'], 'core': '8.be1', 'coset_action_label': None, 'count': 3, 'diagramx': [5489, 8296, 5166, 6971], 'generators': [241, 192, 16, 680, 448], 'label': '1344.11566.8.be1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.be1', 'normal_contained_in': ['4.f1', '4.n1', '4.v1', '4.be1', '4.bg1'], 'normal_contains': ['16.g1', '16.i1', '56.k1'], 'normalizer': '1.a1', 'old_label': '8.be1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.be1', 'subgroup_fusion': None, 'weyl_group': '48.51'}
  • id: 71762305
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '8.bf1', 'aut_quo_index': 168, 'aut_stab_index': 6, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '112.a1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.l1', '4.o1', '4.u1', '4.z1', '4.bc1', '4.bf1', '4.bg1'], 'contains': ['16.g1', '16.j1', '24.h1', '56.bg1'], 'core': '8.bf1', 'coset_action_label': None, 'count': 6, 'diagramx': [5575, 6183, 4241, 4968], 'generators': [7, 448, 16, 680, 192], 'label': '1344.11566.8.bf1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.bf1', 'normal_contained_in': ['4.l1', '4.o1', '4.u1', '4.z1', '4.bc1', '4.bf1', '4.bg1'], 'normal_contains': ['16.g1', '16.j1', '24.h1'], 'normalizer': '1.a1', 'old_label': '8.bf1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bf1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71762306
    {'ambient': '1344.11566', 'aut_centralizer_order': 336, 'aut_label': '8.bg1', 'aut_quo_index': 84, 'aut_stab_index': 1, 'aut_weyl_group': '288.1033', 'aut_weyl_index': 336, 'centralizer': '16.f1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.q1', '4.v1', '4.bd1', '4.bf1', '4.bh1'], 'contains': ['16.g1', '24.i1', '56.l1'], 'core': '8.bg1', 'coset_action_label': None, 'count': 1, 'diagramx': [8954, 9541, 5611, 8254], 'generators': [2, 448, 192, 680, 16], 'label': '1344.11566.8.bg1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.bg1', 'normal_contained_in': ['4.q1', '4.v1', '4.bd1', '4.bf1', '4.bh1'], 'normal_contains': ['16.g1', '24.i1', '56.l1'], 'normalizer': '1.a1', 'old_label': '8.bg1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bg1', 'subgroup_fusion': None, 'weyl_group': '16.14'}
  • id: 71762307
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '8.bh1', 'aut_quo_index': 84, 'aut_stab_index': 6, 'aut_weyl_group': '1008.906', 'aut_weyl_index': 96, 'centralizer': '336.c1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.e1', '4.g1', '4.r1', '4.ba1', '4.bg1'], 'contains': ['16.i1', '16.j1', '16.k1', '24.bh1', '56.bh1'], 'core': '8.bh1', 'coset_action_label': None, 'count': 6, 'diagramx': [3268, 843, 1677, 736], 'generators': [241, 16, 448, 30, 192], 'label': '1344.11566.8.bh1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.bh1', 'normal_contained_in': ['4.e1', '4.g1', '4.r1', '4.ba1', '4.bg1'], 'normal_contains': ['16.i1', '16.j1', '16.k1'], 'normalizer': '1.a1', 'old_label': '8.bh1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bh1', 'subgroup_fusion': None, 'weyl_group': '336.219'}
  • id: 71762308
    {'ambient': '1344.11566', 'aut_centralizer_order': 48, 'aut_label': '12.a1', 'aut_quo_index': 2, 'aut_stab_index': 3, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '56.i1', 'complements': ['112.m1', '112.l1'], 'conjugacy_class_count': 3, 'contained_in': ['4.h1', '6.a1', '6.b1', '6.d1'], 'contains': ['24.a1', '24.b1', '24.e1', '24.f1', '24.g1', '84.i1'], 'core': '12.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7841, 8025, 3809, 6516], 'generators': [5, 8, 16, 2, 192], 'label': '1344.11566.12.a1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.a1', 'normal_contained_in': ['4.h1', '6.a1'], 'normal_contains': ['24.a1', '24.b1', '24.e1', '24.f1', '24.g1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71762309
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '12.b1', 'aut_quo_index': 2, 'aut_stab_index': 3, 'aut_weyl_group': '1344.11444', 'aut_weyl_index': 72, 'centralizer': '56.d1', 'complements': ['112.m1', '112.l1', '112.n1'], 'conjugacy_class_count': 3, 'contained_in': ['4.l1', '6.a1', '6.c1', '6.e1'], 'contains': ['24.b1', '24.c1', '24.g1', '24.h1', '84.m1'], 'core': '12.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8636, 8541, 4737, 7582], 'generators': [869, 8, 16, 2, 192], 'label': '1344.11566.12.b1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.b1', 'normal_contained_in': ['4.l1', '6.a1'], 'normal_contains': ['24.b1', '24.c1', '24.g1', '24.h1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': '56.12'}
  • id: 71762310
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '12.c1', 'aut_quo_index': 2, 'aut_stab_index': 6, 'aut_weyl_group': '672.1093', 'aut_weyl_index': 144, 'centralizer': '112.f1', 'complements': ['112.m1', '112.l1', '112.n1'], 'conjugacy_class_count': 6, 'contained_in': ['4.o1', '6.a1', '6.f1', '6.g1'], 'contains': ['24.a1', '24.c1', '24.d1', '24.e1', '24.h1', '84.p1'], 'core': '12.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [8883, 7051, 4660, 7395], 'generators': [5, 696, 16, 674, 192], 'label': '1344.11566.12.c1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.c1', 'normal_contained_in': ['4.o1', '6.a1'], 'normal_contains': ['24.a1', '24.c1', '24.d1', '24.e1', '24.h1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71762311
    {'ambient': '1344.11566', 'aut_centralizer_order': 336, 'aut_label': '12.d1', 'aut_quo_index': 2, 'aut_stab_index': 1, 'aut_weyl_group': '288.1033', 'aut_weyl_index': 336, 'centralizer': '8.l1', 'complements': ['112.n1'], 'conjugacy_class_count': 1, 'contained_in': ['4.q1', '6.a1', '6.h1', '6.i1'], 'contains': ['24.b1', '24.d1', '24.i1', '84.a1'], 'core': '12.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [9452, 9926, 5780, 8492], 'generators': [2, 672, 192, 8, 16], 'label': '1344.11566.12.d1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.d1', 'normal_contained_in': ['4.q1', '6.a1'], 'normal_contains': ['24.b1', '24.d1', '24.i1', '84.a1'], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': '8.5'}
  • id: 71762312
    {'ambient': '1344.11566', 'aut_centralizer_order': 24, 'aut_label': '12.e1', 'aut_quo_index': 2, 'aut_stab_index': 2, 'aut_weyl_group': None, 'aut_weyl_index': 48, 'centralizer': '112.f1', 'complements': ['112.m1', '112.l1', '112.n1'], 'conjugacy_class_count': 2, 'contained_in': ['4.bf1', '6.a1', '6.j1', '6.k1'], 'contains': ['24.e1', '24.h1', '24.i1', '84.bf1'], 'core': '12.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [9842, 9705, 5869, 8037], 'generators': [5, 696, 16, 2, 192], 'label': '1344.11566.12.e1', 'mobius_quo': 0, 'mobius_sub': -6, 'normal_closure': '12.e1', 'normal_contained_in': ['4.bf1', '6.a1'], 'normal_contains': ['24.e1', '24.h1', '24.i1'], 'normalizer': '1.a1', 'old_label': '12.e1', 'projective_image': '672.1271', 'quotient_action_image': '4.2', 'quotient_action_kernel': '3.1', 'quotient_action_kernel_order': 3, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': '112.42'}
  • id: 71762313
    {'ambient': '1344.11566', 'aut_centralizer_order': 16, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': 18, 'aut_weyl_group': '336.216', 'aut_weyl_index': 288, 'centralizer': '168.r1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '6.b1', '6.f1'], 'contains': ['24.a1', '24.j1', '24.l1', '24.o1', '24.p1', '24.s1', '24.w1', '84.b1'], 'core': '24.a1', 'coset_action_label': None, 'count': 18, 'diagramx': [2907, -1, 2105, -1], 'generators': [5, 1340, 16, 674, 192], 'label': '1344.11566.12.f1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.f1', 'projective_image': '672.1271', 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.f1', 'subgroup_fusion': None, 'weyl_group': '56.12'}