Abstract group data - 768.1084399

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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': '24.15', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 3, 'aut_exponent': 24, 'aut_gen_orders': [4, 4, 8, 6, 6, 6], 'aut_gens': [[2003546160, 6438625326, 14377673521, 21196264608, 15335757414, 20717187409, 27430179840, 15335757360, 288], [20684200320, 32736493855, 27909186481, 21196264608, 15335757414, 27430180129, 20717187120, 15335757360, 288], [12973040640, 44602755247, 14856750721, 26951102928, 15335757624, 27430180129, 20717187120, 15335757360, 288], [15408252720, 44602755246, 2918004049, 2438997408, 27430179895, 20717187121, 15335757360, 27430179840, 288], [26904371760, 6438625326, 19239897601, 25470547488, 27430179895, 15335757649, 20717187120, 27430179840, 288], [14976057600, 32736493855, 26951102641, 14856751008, 20717187384, 27430180129, 15335757360, 20717187120, 288], [13016550960, 39452716926, 2918004049, 1959920208, 20717187384, 27430179841, 15335757360, 20717187120, 288]], 'aut_group': None, 'aut_hash': 7450110856054544156, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 12288, 'aut_permdeg': 52, 'aut_perms': [23524891142836394982862035191610114519582287022173360324871742659466, 44183245429891469545920418080202655169103474875538527360121306068930, 23989573519288901961457541623456781511545270969618751649422730794073, 57717173486992033662249470035079397463898383625409258173651511950116, 75249675612296491876278990623050344835913370157227903745411122292804, 65368314425270894773355192365048068838522264465058645049619646651050], 'aut_phi_ratio': 48.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 2, 1], [2, 2, 2, 1], [2, 3, 1, 2], [2, 3, 2, 1], [2, 6, 2, 3], [2, 6, 4, 1], [2, 6, 8, 1], [2, 8, 2, 1], [3, 16, 2, 1], [4, 8, 2, 1], [4, 24, 2, 2], [6, 16, 2, 1], [6, 16, 4, 1], [6, 32, 4, 2], [12, 32, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^4:C_3.C_2^4.C_2^4', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 4, 'autcent_group': '32.27', 'autcent_hash': 27, 'autcent_nilpotent': True, 'autcent_order': 32, 'autcent_solvable': True, 'autcent_split': True, 'autcent_supersolvable': True, 'autcent_tex': 'C_2^2\\wr C_2', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 24, 'autcentquo_group': '384.5678', 'autcentquo_hash': 5678, 'autcentquo_nilpotent': False, 'autcentquo_order': 384, 'autcentquo_solvable': True, 'autcentquo_supersolvable': False, 'autcentquo_tex': 'C_2^4:S_4', 'cc_stats': [[1, 1, 1], [2, 1, 3], [2, 2, 2], [2, 3, 4], [2, 6, 18], [2, 8, 2], [3, 16, 2], [4, 8, 2], [4, 24, 4], [6, 16, 6], [6, 32, 8], [12, 32, 4]], 'center_label': '4.2', 'center_order': 4, 'central_product': True, 'central_quotient': '192.1000', 'commutator_count': 1, 'commutator_label': '32.51', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 1084399, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': [['2.1', 1], ['384.5790', 1]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 3], [2, 2, 1, 2], [2, 3, 1, 4], [2, 6, 1, 18], [2, 8, 1, 2], [3, 16, 2, 1], [4, 8, 1, 2], [4, 24, 1, 4], [6, 16, 2, 3], [6, 32, 2, 4], [12, 32, 2, 2]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': 10920, 'exponent': 12, 'exponents_of_order': [8, 1], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2, 3], 'faithful_reps': [], 'familial': False, 'frattini_label': '8.5', 'frattini_quotient': '96.228', 'hash': 1084399, 'hyperelementary': 1, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 12, 'inner_gen_orders': [3, 2, 2, 2, 2, 2, 2, 2, 1], 'inner_gens': [[2003546160, 32736493566, 21196264321, 27909186768, 20717187174, 27430180129, 15335757360, 20717187120, 288], [19160109360, 6438625326, 21675270961, 26951102928, 15335757624, 20717187409, 27430179840, 15335757360, 288], [27383287680, 39452716926, 14377673521, 21196264608, 15335757414, 20717187409, 27430179840, 15335757360, 288], [13016550960, 44602755246, 14377673521, 21196264608, 15335757414, 20717187409, 27430179840, 15335757360, 288], [27862329600, 6438625614, 14377673521, 21196264608, 15335757414, 20717187409, 27430179840, 15335757360, 288], [14976057600, 6438625326, 14377673521, 21196264608, 15335757414, 20717187409, 27430179840, 15335757360, 288], [19160109360, 6438625326, 14377673521, 21196264608, 15335757414, 20717187409, 27430179840, 15335757360, 288], [27862329600, 6438625326, 14377673521, 21196264608, 15335757414, 20717187409, 27430179840, 15335757360, 288], [2003546160, 6438625326, 14377673521, 21196264608, 15335757414, 20717187409, 27430179840, 15335757360, 288]], 'inner_hash': 1000, 'inner_nilpotent': False, 'inner_order': 192, 'inner_split': False, 'inner_tex': 'C_2^4:A_4', 'inner_used': [1, 2, 3, 5], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 24], [2, 6], [3, 8], [6, 18]], 'label': '768.1084399', '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': 'C2^7:C6', 'ngens': 9, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 22, 'number_characteristic_subgroups': 25, 'number_conjugacy_classes': 56, 'number_divisions': 46, 'number_normal_subgroups': 65, 'number_subgroup_autclasses': 802, 'number_subgroup_classes': 5670, 'number_subgroups': 33614, 'old_label': None, 'order': 768, 'order_factorization_type': 51, 'order_stats': [[1, 1], [2, 143], [3, 32], [4, 112], [6, 352], [12, 128]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 4, 'outer_gen_orders': [2, 2, 2, 2, 2, 2], 'outer_gen_pows': [6438625561, 0, 0, 0, 79914240, 0], 'outer_gens': [[21642168240, 6438625327, 1959920209, 2918004048, 15335757415, 27430179841, 20717187120, 15335757360, 288], [2003546160, 6438625326, 14377673809, 21196264608, 15335757414, 20717187121, 27430179840, 15335757360, 288], [25390794240, 6438625327, 27909186481, 21196264608, 15335757415, 27430180129, 20717187120, 15335757360, 288], [2039788800, 6438625326, 26951102641, 21675271248, 27430179894, 20717187409, 15335757360, 27430179840, 288], [2482462080, 6438625327, 21196264321, 27909186768, 20717187384, 27430180129, 15335757360, 20717187120, 288], [2003546160, 6438625326, 14377673521, 21196264608, 15335757624, 20717187409, 27430179840, 15335757360, 288]], 'outer_group': '64.264', 'outer_hash': 264, 'outer_nilpotent': True, 'outer_order': 64, 'outer_permdeg': 10, 'outer_perms': [2799055, 848928, 1956601, 1270441, 374407, 374406], 'outer_solvable': True, 'outer_supersolvable': True, 'outer_tex': 'D_4:C_2^3', 'pc_rank': None, 'perfect': False, 'permutation_degree': 14, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2, 3], 'quasisimple': False, 'rank': 3, 'rational': False, 'rational_characters_known': True, 'ratrep_stats': [[1, 8], [2, 10], [3, 8], [4, 2], [6, 18]], 'representations': {'PC': {'code': '467529307210114767111331545093557958255045607323909203541001757788800', 'gens': [1, 3, 5, 6, 7, 8, 9], 'pres': [9, -2, -3, -2, -2, 2, 2, 2, 2, 2, 18, 11504, 3980, 74, 16204, 17023, 2362, 1949, 10058, 6719, 9078, 5685, 2040, 39751, 22912, 1177, 35000, 18971, 9098]}, 'GLFq': {'d': 4, 'q': 4, 'gens': [1074840641, 2155454277, 1074846310, 3082718614, 434625224, 1074848632, 1074842182, 1471785802, 1074826703]}, 'Perm': {'d': 14, 'gens': [2003546160, 6438625326, 14377673521, 21196264608, 15335757414, 20717187409, 27430179840, 15335757360, 288]}}, 'schur_multiplier': [2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 6], 'solvability_type': 8, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2^7:C_6', 'transitive_degree': 24, '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: 105771678
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 1084399, 'group_order': 768, 'label': '1A', 'order': 1, 'powers': [1, 1], 'representative': 0, 'size': 1}
  • id: 105771689
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 1084399, 'group_order': 768, 'label': '2A', 'order': 2, 'powers': [1, 2], 'representative': 1, 'size': 1}
  • id: 105771700
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 1084399, 'group_order': 768, 'label': '2B', 'order': 2, 'powers': [1, 3], 'representative': 289, 'size': 1}
  • id: 105771711
    {'aut_label': '2C', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 1084399, 'group_order': 768, 'label': '2C', 'order': 2, 'powers': [1, 4], 'representative': 288, 'size': 1}
  • id: 105771722
    {'aut_label': '2D', 'centralizer': '2.a1', 'counter': 5, 'group_counter': 1084399, 'group_order': 768, 'label': '2D', 'order': 2, 'powers': [1, 5], 'representative': 265, 'size': 2}
  • id: 105771730
    {'aut_label': '2D', 'centralizer': '2.a1', 'counter': 6, 'group_counter': 1084399, 'group_order': 768, 'label': '2E', 'order': 2, 'powers': [1, 6], 'representative': 264, 'size': 2}
  • id: 105771731
    {'aut_label': '2F', 'centralizer': '3.a1', 'counter': 7, 'group_counter': 1084399, 'group_order': 768, 'label': '2F', 'order': 2, 'powers': [1, 7], 'representative': 15335757361, 'size': 3}
  • id: 105771732
    {'aut_label': '2F', 'centralizer': '3.a1', 'counter': 8, 'group_counter': 1084399, 'group_order': 768, 'label': '2G', 'order': 2, 'powers': [1, 8], 'representative': 15335757649, 'size': 3}
  • id: 105771733
    {'aut_label': '2H', 'centralizer': '3.a1', 'counter': 9, 'group_counter': 1084399, 'group_order': 768, 'label': '2H', 'order': 2, 'powers': [1, 9], 'representative': 15335757360, 'size': 3}
  • id: 105771679
    {'aut_label': '2I', 'centralizer': '3.a1', 'counter': 10, 'group_counter': 1084399, 'group_order': 768, 'label': '2I', 'order': 2, 'powers': [1, 10], 'representative': 15335757648, 'size': 3}
  • id: 105771680
    {'aut_label': '2J', 'centralizer': '6.a1', 'counter': 11, 'group_counter': 1084399, 'group_order': 768, 'label': '2J', 'order': 2, 'powers': [1, 11], 'representative': 1959919920, 'size': 6}
  • id: 105771681
    {'aut_label': '2K', 'centralizer': '6.a1', 'counter': 12, 'group_counter': 1084399, 'group_order': 768, 'label': '2K', 'order': 2, 'powers': [1, 12], 'representative': 1959919921, 'size': 6}
  • id: 105771682
    {'aut_label': '2L', 'centralizer': '6.a1', 'counter': 13, 'group_counter': 1084399, 'group_order': 768, 'label': '2L', 'order': 2, 'powers': [1, 13], 'representative': 1959919974, 'size': 6}
  • id: 105771683
    {'aut_label': '2L', 'centralizer': '6.a1', 'counter': 14, 'group_counter': 1084399, 'group_order': 768, 'label': '2M', 'order': 2, 'powers': [1, 14], 'representative': 1959919975, 'size': 6}
  • id: 105771684
    {'aut_label': '2L', 'centralizer': '6.a1', 'counter': 15, 'group_counter': 1084399, 'group_order': 768, 'label': '2N', 'order': 2, 'powers': [1, 15], 'representative': 1959920184, 'size': 6}
  • id: 105771685
    {'aut_label': '2L', 'centralizer': '6.a1', 'counter': 16, 'group_counter': 1084399, 'group_order': 768, 'label': '2O', 'order': 2, 'powers': [1, 16], 'representative': 1959920185, 'size': 6}
  • id: 105771686
    {'aut_label': '2P', 'centralizer': '6.a1', 'counter': 17, 'group_counter': 1084399, 'group_order': 768, 'label': '2P', 'order': 2, 'powers': [1, 17], 'representative': 1959920208, 'size': 6}
  • id: 105771687
    {'aut_label': '2K', 'centralizer': '6.a1', 'counter': 18, 'group_counter': 1084399, 'group_order': 768, 'label': '2Q', 'order': 2, 'powers': [1, 18], 'representative': 1959920209, 'size': 6}
  • id: 105771688
    {'aut_label': '2J', 'centralizer': '6.a1', 'counter': 19, 'group_counter': 1084399, 'group_order': 768, 'label': '2R', 'order': 2, 'powers': [1, 19], 'representative': 14377673520, 'size': 6}
  • id: 105771690
    {'aut_label': '2K', 'centralizer': '6.a1', 'counter': 20, 'group_counter': 1084399, 'group_order': 768, 'label': '2S', 'order': 2, 'powers': [1, 20], 'representative': 14377673521, 'size': 6}
  • id: 105771691
    {'aut_label': '2L', 'centralizer': '6.a1', 'counter': 21, 'group_counter': 1084399, 'group_order': 768, 'label': '2T', 'order': 2, 'powers': [1, 21], 'representative': 14377673574, 'size': 6}
  • id: 105771692
    {'aut_label': '2L', 'centralizer': '6.a1', 'counter': 22, 'group_counter': 1084399, 'group_order': 768, 'label': '2U', 'order': 2, 'powers': [1, 22], 'representative': 14377673575, 'size': 6}
  • id: 105771693
    {'aut_label': '2L', 'centralizer': '6.a1', 'counter': 23, 'group_counter': 1084399, 'group_order': 768, 'label': '2V', 'order': 2, 'powers': [1, 23], 'representative': 14377673784, 'size': 6}
  • id: 105771694
    {'aut_label': '2L', 'centralizer': '6.a1', 'counter': 24, 'group_counter': 1084399, 'group_order': 768, 'label': '2W', 'order': 2, 'powers': [1, 24], 'representative': 14377673785, 'size': 6}
  • id: 105771695
    {'aut_label': '2P', 'centralizer': '6.a1', 'counter': 25, 'group_counter': 1084399, 'group_order': 768, 'label': '2X', 'order': 2, 'powers': [1, 25], 'representative': 14377673808, 'size': 6}
  • id: 105771696
    {'aut_label': '2K', 'centralizer': '6.a1', 'counter': 26, 'group_counter': 1084399, 'group_order': 768, 'label': '2Y', 'order': 2, 'powers': [1, 26], 'representative': 14377673809, 'size': 6}
  • id: 105771697
    {'aut_label': '2Z', 'centralizer': '6.a1', 'counter': 27, 'group_counter': 1084399, 'group_order': 768, 'label': '2Z', 'order': 2, 'powers': [1, 27], 'representative': 15335757414, 'size': 6}
  • id: 105771698
    {'aut_label': '2Z', 'centralizer': '6.a1', 'counter': 28, 'group_counter': 1084399, 'group_order': 768, 'label': '2AA', 'order': 2, 'powers': [1, 28], 'representative': 15335757415, 'size': 6}
  • id: 105771699
    {'aut_label': '2AB', 'centralizer': '8.e1', 'counter': 29, 'group_counter': 1084399, 'group_order': 768, 'label': '2AB', 'order': 2, 'powers': [1, 29], 'representative': 44602755535, 'size': 8}
  • id: 105771701
    {'aut_label': '2AB', 'centralizer': '8.e1', 'counter': 30, 'group_counter': 1084399, 'group_order': 768, 'label': '2AC', 'order': 2, 'powers': [1, 30], 'representative': 39452716926, 'size': 8}
  • id: 105771702
    {'aut_label': '3A1', 'centralizer': '16.e1', 'counter': 31, 'group_counter': 1084399, 'group_order': 768, 'label': '3A1', 'order': 3, 'powers': [32, 1], 'representative': 79914240, 'size': 16}
  • id: 105771703
    {'aut_label': '3A1', 'centralizer': '16.e1', 'counter': 32, 'group_counter': 1084399, 'group_order': 768, 'label': '3A-1', 'order': 3, 'powers': [31, 1], 'representative': 43590960, 'size': 16}
  • id: 105771704
    {'aut_label': '4A', 'centralizer': '8.f1', 'counter': 33, 'group_counter': 1084399, 'group_order': 768, 'label': '4A', 'order': 4, 'powers': [4, 33], 'representative': 6438625561, 'size': 8}
  • id: 105771705
    {'aut_label': '4A', 'centralizer': '8.f1', 'counter': 34, 'group_counter': 1084399, 'group_order': 768, 'label': '4B', 'order': 4, 'powers': [4, 34], 'representative': 39452717160, 'size': 8}
  • id: 105771706
    {'aut_label': '4C', 'centralizer': '24.br1', 'counter': 35, 'group_counter': 1084399, 'group_order': 768, 'label': '4C', 'order': 4, 'powers': [9, 35], 'representative': 6917667246, 'size': 24}
  • id: 105771707
    {'aut_label': '4C', 'centralizer': '24.br1', 'counter': 36, 'group_counter': 1084399, 'group_order': 768, 'label': '4D', 'order': 4, 'powers': [9, 36], 'representative': 6917667247, 'size': 24}
  • id: 105771708
    {'aut_label': '4E', 'centralizer': '24.bs1', 'counter': 37, 'group_counter': 1084399, 'group_order': 768, 'label': '4E', 'order': 4, 'powers': [10, 37], 'representative': 6917667270, 'size': 24}
  • id: 105771709
    {'aut_label': '4E', 'centralizer': '24.bs1', 'counter': 38, 'group_counter': 1084399, 'group_order': 768, 'label': '4F', 'order': 4, 'powers': [10, 38], 'representative': 6917667271, 'size': 24}
  • id: 105771710
    {'aut_label': '6A1', 'centralizer': '16.e1', 'counter': 39, 'group_counter': 1084399, 'group_order': 768, 'label': '6A1', 'order': 6, 'powers': [31, 2], 'representative': 43590961, 'size': 16}
  • id: 105771712
    {'aut_label': '6A1', 'centralizer': '16.e1', 'counter': 40, 'group_counter': 1084399, 'group_order': 768, 'label': '6A-1', 'order': 6, 'powers': [32, 2], 'representative': 79914241, 'size': 16}
  • id: 105771713
    {'aut_label': '6A1', 'centralizer': '16.e1', 'counter': 41, 'group_counter': 1084399, 'group_order': 768, 'label': '6B1', 'order': 6, 'powers': [31, 3], 'representative': 43591249, 'size': 16}
  • id: 105771714
    {'aut_label': '6A1', 'centralizer': '16.e1', 'counter': 42, 'group_counter': 1084399, 'group_order': 768, 'label': '6B-1', 'order': 6, 'powers': [32, 3], 'representative': 79914529, 'size': 16}
  • id: 105771715
    {'aut_label': '6C1', 'centralizer': '16.e1', 'counter': 43, 'group_counter': 1084399, 'group_order': 768, 'label': '6C1', 'order': 6, 'powers': [31, 4], 'representative': 15455099808, 'size': 16}
  • id: 105771716
    {'aut_label': '6C1', 'centralizer': '16.e1', 'counter': 44, 'group_counter': 1084399, 'group_order': 768, 'label': '6C-1', 'order': 6, 'powers': [32, 4], 'representative': 27310757328, 'size': 16}
  • id: 105771717
    {'aut_label': '6D1', 'centralizer': '32.d1', 'counter': 45, 'group_counter': 1084399, 'group_order': 768, 'label': '6D1', 'order': 6, 'powers': [31, 29], 'representative': 7795756495, 'size': 32}
  • id: 105771718
    {'aut_label': '6D1', 'centralizer': '32.d1', 'counter': 46, 'group_counter': 1084399, 'group_order': 768, 'label': '6D-1', 'order': 6, 'powers': [32, 29], 'representative': 31349203615, 'size': 32}
  • id: 105771719
    {'aut_label': '6E1', 'centralizer': '32.c1', 'counter': 47, 'group_counter': 1084399, 'group_order': 768, 'label': '6E1', 'order': 6, 'powers': [31, 5], 'representative': 14497141945, 'size': 32}
  • id: 105771720
    {'aut_label': '6E1', 'centralizer': '32.c1', 'counter': 48, 'group_counter': 1084399, 'group_order': 768, 'label': '6E-1', 'order': 6, 'powers': [32, 5], 'representative': 27789718585, 'size': 32}
  • id: 105771721
    {'aut_label': '6E1', 'centralizer': '32.c1', 'counter': 49, 'group_counter': 1084399, 'group_order': 768, 'label': '6F1', 'order': 6, 'powers': [31, 6], 'representative': 25427047224, 'size': 32}
  • id: 105771723
    {'aut_label': '6E1', 'centralizer': '32.c1', 'counter': 50, 'group_counter': 1084399, 'group_order': 768, 'label': '6F-1', 'order': 6, 'powers': [32, 6], 'representative': 19203690504, 'size': 32}
  • id: 105771724
    {'aut_label': '6D1', 'centralizer': '32.d1', 'counter': 51, 'group_counter': 1084399, 'group_order': 768, 'label': '6G1', 'order': 6, 'powers': [31, 30], 'representative': 38524469886, 'size': 32}
  • id: 105771725
    {'aut_label': '6D1', 'centralizer': '32.d1', 'counter': 52, 'group_counter': 1084399, 'group_order': 768, 'label': '6G-1', 'order': 6, 'powers': [32, 30], 'representative': 38851102206, 'size': 32}
  • id: 105771726
    {'aut_label': '12A1', 'centralizer': '32.e1', 'counter': 53, 'group_counter': 1084399, 'group_order': 768, 'label': '12A1', 'order': 12, 'powers': [43, 33], 'representative': 39330108871, 'size': 32}
  • id: 105771727
    {'aut_label': '12A1', 'centralizer': '32.e1', 'counter': 54, 'group_counter': 1084399, 'group_order': 768, 'label': '12A-1', 'order': 12, 'powers': [44, 33], 'representative': 44761651561, 'size': 32}
  • id: 105771728
    {'aut_label': '12A1', 'centralizer': '32.e1', 'counter': 55, 'group_counter': 1084399, 'group_order': 768, 'label': '12B1', 'order': 12, 'powers': [43, 34], 'representative': 6881298630, 'size': 32}
  • id: 105771729
    {'aut_label': '12A1', 'centralizer': '32.e1', 'counter': 56, 'group_counter': 1084399, 'group_order': 768, 'label': '12B-1', 'order': 12, 'powers': [44, 34], 'representative': 31150788840, 'size': 32}
• 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: 3592494
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.1a', '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], 'schur_index': 1}
  • id: 3592505
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.1b', '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], 'schur_index': 1}
  • id: 3592516
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.1c', '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], 'schur_index': 1}
  • id: 3592527
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.1d', '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], 'schur_index': 1}
  • id: 3592535
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.1e', '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], 'schur_index': 1}
  • id: 3592536
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.1f', '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], 'schur_index': 1}
  • id: 3592537
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.1g', '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], 'schur_index': 1}
  • id: 3592538
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.1h', '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], 'schur_index': 1}
  • id: 3592539
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.1i', 'multiplicity': 2, 'nt': [3, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -1, -1, 2, 2, 2, 2, 2, 2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3592495
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.1j', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, -1, -1, -2, 2, 2, -2, 2, -2, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3592496
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.1k', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, 2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, -1, -1, 2, -2, -2, 2, -2, 2, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3592497
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.1l', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -1, -1, 2, -2, 2, -2, -2, 2, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3592498
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.1m', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, -2, 2, -2, 2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, 2, 2, -2, -1, -1, -2, 2, -2, 2, 2, -2, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3592499
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.1n', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -1, -1, 2, 2, -2, -2, 2, 2, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3592500
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.1o', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, -2, -2, 2, 2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 2, 2, -1, -1, -2, -2, 2, 2, -2, -2, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3592501
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.1p', 'multiplicity': 2, 'nt': [6, 1], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -1, -1, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3592502
    {'cdim': 2, 'counter': 17, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, 2, 0, 0, 2, -2, 2, -2, 0, 0, 2, 2, 0, 0, -2, -2, 0, 0, 2, -2, 0, 0, -2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592503
    {'cdim': 2, 'counter': 18, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, 0, 0, -2, 2, 2, -2, 0, 0, 2, 2, 0, 0, -2, 2, 0, 0, -2, -2, 0, 0, 2, -2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592507
    {'cdim': 3, 'counter': 21, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.3a', 'multiplicity': 1, 'nt': [4, 4], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 3, 3, 3, 0, 0, 3, 3, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592508
    {'cdim': 3, 'counter': 22, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.3b', 'multiplicity': 1, 'nt': [6, 6], 'qdim': 3, 'qvalues': [3, -3, 3, -3, -3, 3, -3, -3, 3, 3, -1, -1, -1, -1, 3, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -3, -3, 3, 0, 0, -3, 3, -1, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592509
    {'cdim': 3, 'counter': 23, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.3c', 'multiplicity': 1, 'nt': [6, 6], 'qdim': 3, 'qvalues': [3, -3, 3, -3, -3, 3, -3, -3, 3, 3, -1, -1, -1, -1, 3, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -3, 3, -3, 0, 0, 3, -3, 1, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592510
    {'cdim': 3, 'counter': 24, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.3d', 'multiplicity': 1, 'nt': [6, 6], 'qdim': 3, 'qvalues': [3, -3, 3, -3, 3, -3, -3, -3, 3, 3, 1, 1, -1, -1, -3, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 3, -3, 3, 0, 0, 3, -3, -1, 1, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592511
    {'cdim': 3, 'counter': 25, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.3e', 'multiplicity': 1, 'nt': [6, 6], 'qdim': 3, 'qvalues': [3, -3, 3, -3, 3, -3, -3, -3, 3, 3, 1, 1, -1, -1, -3, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 3, 3, -3, 0, 0, -3, 3, 1, -1, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592512
    {'cdim': 3, 'counter': 26, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.3f', 'multiplicity': 1, 'nt': [6, 6], 'qdim': 3, 'qvalues': [3, 3, 3, 3, -3, -3, 3, 3, 3, 3, 1, 1, -1, -1, -3, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -3, -3, -3, 0, 0, 3, 3, 1, 1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592513
    {'cdim': 3, 'counter': 27, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.3g', 'multiplicity': 1, 'nt': [6, 6], 'qdim': 3, 'qvalues': [3, 3, 3, 3, -3, -3, 3, 3, 3, 3, 1, 1, -1, -1, -3, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -3, 3, 3, 0, 0, -3, -3, -1, -1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592514
    {'cdim': 3, 'counter': 28, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.3h', 'multiplicity': 1, 'nt': [6, 6], 'qdim': 3, 'qvalues': [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -1, -1, -1, -1, 3, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 3, -3, -3, 0, 0, -3, -3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592504
    {'cdim': 2, 'counter': 19, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.2c', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 0, 0, 4, -4, 4, -4, 0, 0, 4, 4, 0, 0, -4, -4, 0, 0, 4, -4, 0, 0, -4, 4, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592506
    {'cdim': 2, 'counter': 20, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.2d', 'multiplicity': 2, 'nt': [12, 14], 'qdim': 4, 'qvalues': [4, 4, -4, -4, 0, 0, -4, 4, 4, -4, 0, 0, 4, 4, 0, 0, -4, 4, 0, 0, -4, -4, 0, 0, 4, -4, 0, 0, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592515
    {'cdim': 6, 'counter': 29, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6a', 'multiplicity': 1, 'nt': [8, 33], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, -2, -2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 2, -2, -2, 2, 2, 2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592517
    {'cdim': 6, 'counter': 30, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6b', 'multiplicity': 1, 'nt': [8, 33], 'qdim': 6, 'qvalues': [6, 6, 6, 6, 6, 6, -2, -2, -2, -2, 2, 2, 2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592518
    {'cdim': 6, 'counter': 31, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6c', 'multiplicity': 1, 'nt': [12, 51], 'qdim': 6, 'qvalues': [6, -6, -6, 6, 0, 0, 6, -6, 6, -6, 0, 0, -2, -2, 0, 0, 2, 2, 0, 0, -2, 2, 0, 0, 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], 'schur_index': 1}
  • id: 3592519
    {'cdim': 6, 'counter': 32, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6d', 'multiplicity': 1, 'nt': [12, 51], 'qdim': 6, 'qvalues': [6, 6, -6, -6, 0, 0, -6, 6, 6, -6, 0, 0, -2, -2, 0, 0, 2, -2, 0, 0, 2, 2, 0, 0, -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], 'schur_index': 1}
  • id: 3592520
    {'cdim': 6, 'counter': 33, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6e', 'multiplicity': 1, 'nt': [12, 87], 'qdim': 6, 'qvalues': [6, -6, 6, -6, -6, 6, 2, 2, -2, -2, -2, -2, -2, 2, -2, -2, -2, 2, 2, 2, 2, 2, 2, -2, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592521
    {'cdim': 6, 'counter': 34, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6f', 'multiplicity': 1, 'nt': [12, 87], 'qdim': 6, 'qvalues': [6, -6, 6, -6, -6, 6, 2, 2, -2, -2, 2, 2, 2, -2, -2, 2, 2, -2, -2, -2, -2, -2, -2, 2, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592522
    {'cdim': 6, 'counter': 35, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6g', 'multiplicity': 1, 'nt': [12, 87], 'qdim': 6, 'qvalues': [6, -6, 6, -6, 6, -6, 2, 2, -2, -2, -2, -2, 2, -2, 2, -2, 2, -2, 2, 2, -2, -2, 2, -2, 2, 2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592523
    {'cdim': 6, 'counter': 36, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6h', 'multiplicity': 1, 'nt': [12, 87], 'qdim': 6, 'qvalues': [6, -6, 6, -6, 6, -6, 2, 2, -2, -2, 2, 2, -2, 2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592524
    {'cdim': 6, 'counter': 37, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6i', 'multiplicity': 1, 'nt': [12, 87], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -6, -6, -2, -2, -2, -2, -2, -2, 2, -2, 2, 2, 2, 2, 2, -2, 2, -2, 2, 2, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592525
    {'cdim': 6, 'counter': 38, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6j', 'multiplicity': 1, 'nt': [12, 87], 'qdim': 6, 'qvalues': [6, 6, 6, 6, -6, -6, -2, -2, -2, -2, 2, 2, -2, 2, 2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592526
    {'cdim': 6, 'counter': 39, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6k', 'multiplicity': 1, 'nt': [12, 134], 'qdim': 6, 'qvalues': [6, -6, -6, 6, 0, 0, -2, 2, -2, 2, -4, 4, 2, -2, 0, 0, -2, -2, 0, 4, 2, 2, 0, 0, 2, -2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592528
    {'cdim': 6, 'counter': 40, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6l', 'multiplicity': 1, 'nt': [12, 134], 'qdim': 6, 'qvalues': [6, -6, -6, 6, 0, 0, -2, 2, -2, 2, 0, 0, -2, 2, 0, -4, 2, 2, -4, 0, -2, -2, 4, 4, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592529
    {'cdim': 6, 'counter': 41, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6m', 'multiplicity': 1, 'nt': [12, 134], 'qdim': 6, 'qvalues': [6, -6, -6, 6, 0, 0, -2, 2, -2, 2, 0, 0, -2, 2, 0, 4, 2, 2, 4, 0, -2, -2, -4, -4, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592530
    {'cdim': 6, 'counter': 42, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6n', 'multiplicity': 1, 'nt': [12, 134], 'qdim': 6, 'qvalues': [6, -6, -6, 6, 0, 0, -2, 2, -2, 2, 4, -4, 2, -2, 0, 0, -2, -2, 0, -4, 2, 2, 0, 0, 2, -2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592531
    {'cdim': 6, 'counter': 43, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6o', 'multiplicity': 1, 'nt': [12, 134], 'qdim': 6, 'qvalues': [6, 6, -6, -6, 0, 0, 2, -2, -2, 2, -4, 4, 2, -2, 0, 0, -2, 2, 0, -4, -2, 2, 0, 0, -2, 2, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592532
    {'cdim': 6, 'counter': 44, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6p', 'multiplicity': 1, 'nt': [12, 134], 'qdim': 6, 'qvalues': [6, 6, -6, -6, 0, 0, 2, -2, -2, 2, 0, 0, -2, 2, 0, -4, 2, -2, 4, 0, 2, -2, -4, 4, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592533
    {'cdim': 6, 'counter': 45, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6q', 'multiplicity': 1, 'nt': [12, 134], 'qdim': 6, 'qvalues': [6, 6, -6, -6, 0, 0, 2, -2, -2, 2, 0, 0, -2, 2, 0, 4, 2, -2, -4, 0, 2, -2, 4, -4, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3592534
    {'cdim': 6, 'counter': 46, 'faithful': False, 'group': '768.1084399', 'group_order': 768, 'image': None, 'label': '768.1084399.6r', 'multiplicity': 1, 'nt': [12, 134], 'qdim': 6, 'qvalues': [6, 6, -6, -6, 0, 0, 2, -2, -2, 2, 4, -4, 2, -2, 0, 0, -2, 2, 0, 4, -2, 2, 0, 0, -2, 2, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

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

  
  
  • id: 5175539
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 768, 'label': '768.1084399.1a', '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]]]}
  • id: 5175550
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 384, 'label': '768.1084399.1b', '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]]]}
  • id: 5175561
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 384, 'label': '768.1084399.1c', '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]]]}
  • id: 5175572
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 384, 'label': '768.1084399.1d', '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]]]}
  • id: 5175583
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 384, 'label': '768.1084399.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5175591
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 384, 'label': '768.1084399.1f', '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]]]}
  • id: 5175592
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 384, 'label': '768.1084399.1g', '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]]]}
  • id: 5175593
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 384, 'label': '768.1084399.1h', '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]]]}
  • id: 5175594
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 9, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 256, 'label': '768.1084399.1i1', 'nt': [3, 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, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 5175540
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 10, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '3.1', 'image_order': 3, 'indicator': 0, 'kernel': '3.a1', 'kernel_order': 256, 'label': '768.1084399.1i2', 'nt': [3, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 5175541
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 11, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.d1', 'kernel_order': 128, 'label': '768.1084399.1j1', 'nt': [6, 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, -1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 5175542
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 12, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.d1', 'kernel_order': 128, 'label': '768.1084399.1j2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 5175543
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 13, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.d1', 'kernel_order': 128, 'label': '768.1084399.1k1', 'nt': [6, 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, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 5175544
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 14, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.d1', 'kernel_order': 128, 'label': '768.1084399.1k2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 5175545
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 15, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.d1', 'kernel_order': 128, 'label': '768.1084399.1l1', 'nt': [6, 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, -1]], [[1, 1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 5175546
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 16, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.d1', 'kernel_order': 128, 'label': '768.1084399.1l2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 5175547
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 17, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.d1', 'kernel_order': 128, 'label': '768.1084399.1m1', 'nt': [6, 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, -1]], [[1, 1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 5175548
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 18, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.d1', 'kernel_order': 128, 'label': '768.1084399.1m2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 5175549
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 19, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 128, 'label': '768.1084399.1n1', 'nt': [6, 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, -1]], [[1, 1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]]]}
  • id: 5175551
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 20, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.c1', 'kernel_order': 128, 'label': '768.1084399.1n2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]]]}
  • id: 5175552
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 21, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 128, 'label': '768.1084399.1o1', 'nt': [6, 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, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 5175553
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 22, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.b1', 'kernel_order': 128, 'label': '768.1084399.1o2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 5175554
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 23, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 128, 'label': '768.1084399.1p1', 'nt': [6, 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, -1]], [[1, 1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[1, 1]], [[1, -1]], [[-1, 1]], [[-1, -1]], [[-1, -1]], [[-1, 1]], [[-1, -1]], [[-1, 1]]]}
  • id: 5175555
    {'center': '1.a1', 'center_index': 1, 'center_order': 768, 'counter': 24, 'cyclotomic_n': 3, 'dim': 1, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '6.2', 'image_order': 6, 'indicator': 0, 'kernel': '6.a1', 'kernel_order': 128, 'label': '768.1084399.1p2', 'nt': [6, 2], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 1]], [[1, -1]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[1, -1]], [[1, 1]], [[-1, -1]], [[-1, 1]], [[-1, 1]], [[-1, -1]], [[-1, 1]], [[-1, -1]]]}
  • id: 5175556
    {'center': '4.a1', 'center_index': 4, 'center_order': 192, 'counter': 25, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1', 'kernel_order': 96, 'label': '768.1084399.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[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]]]}
  • id: 5175557
    {'center': '4.a1', 'center_index': 4, 'center_order': 192, 'counter': 26, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.a1', 'kernel_order': 96, 'label': '768.1084399.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 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]], [[-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]]]}
  • id: 5175558
    {'center': '4.a1', 'center_index': 4, 'center_order': 192, 'counter': 27, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 32, 'label': '768.1084399.2c1', 'nt': [12, 14], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175559
    {'center': '4.a1', 'center_index': 4, 'center_order': 192, 'counter': 28, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 32, 'label': '768.1084399.2c2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175560
    {'center': '4.a1', 'center_index': 4, 'center_order': 192, 'counter': 29, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 32, 'label': '768.1084399.2d1', 'nt': [12, 14], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, -1]], [[2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 1]], [[-2, -1]], [[2, 1]], [[2, -1]], [[-2, 1]], [[-2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175562
    {'center': '4.a1', 'center_index': 4, 'center_order': 192, 'counter': 30, 'cyclotomic_n': 3, 'dim': 2, 'faithful': False, 'field': [1, -1, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '24.10', 'image_order': 24, 'indicator': 0, 'kernel': '24.a1', 'kernel_order': 32, 'label': '768.1084399.2d2', 'nt': [12, 2], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 1]], [[2, -1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, -1]], [[-2, 1]], [[2, -1]], [[2, 1]], [[-2, -1]], [[-2, 1]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175563
    {'center': '12.a1', 'center_index': 12, 'center_order': 64, 'counter': 31, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '12.3', 'image_order': 12, 'indicator': 1, 'kernel': '12.a1', 'kernel_order': 64, 'label': '768.1084399.3a', 'nt': [4, 4], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175564
    {'center': '12.a1', 'center_index': 12, 'center_order': 64, 'counter': 32, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '24.13', 'image_order': 24, 'indicator': 1, 'kernel': '24.e1', 'kernel_order': 32, 'label': '768.1084399.3b', 'nt': [6, 6], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175565
    {'center': '12.a1', 'center_index': 12, 'center_order': 64, 'counter': 33, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '24.13', 'image_order': 24, 'indicator': 1, 'kernel': '24.e1', 'kernel_order': 32, 'label': '768.1084399.3c', 'nt': [6, 6], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175566
    {'center': '12.a1', 'center_index': 12, 'center_order': 64, 'counter': 34, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '24.13', 'image_order': 24, 'indicator': 1, 'kernel': '24.e1', 'kernel_order': 32, 'label': '768.1084399.3d', 'nt': [6, 6], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[-3, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175567
    {'center': '12.a1', 'center_index': 12, 'center_order': 64, 'counter': 35, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '24.13', 'image_order': 24, 'indicator': 1, 'kernel': '24.e1', 'kernel_order': 32, 'label': '768.1084399.3e', 'nt': [6, 6], 'q_character': None, 'values': [[[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175568
    {'center': '12.a1', 'center_index': 12, 'center_order': 64, 'counter': 36, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '24.13', 'image_order': 24, 'indicator': 1, 'kernel': '24.d1', 'kernel_order': 32, 'label': '768.1084399.3f', 'nt': [6, 6], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175569
    {'center': '12.a1', 'center_index': 12, 'center_order': 64, 'counter': 37, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '24.13', 'image_order': 24, 'indicator': 1, 'kernel': '24.c1', 'kernel_order': 32, 'label': '768.1084399.3g', 'nt': [6, 6], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-3, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-3, 0]], [[3, 0]], [[3, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175570
    {'center': '12.a1', 'center_index': 12, 'center_order': 64, 'counter': 38, 'cyclotomic_n': 1, 'dim': 3, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '24.13', 'image_order': 24, 'indicator': 1, 'kernel': '24.b1', 'kernel_order': 32, 'label': '768.1084399.3h', 'nt': [6, 6], 'q_character': None, 'values': [[[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[3, 0]], [[-3, 0]], [[-3, 0]], [[0, 0]], [[0, 0]], [[-3, 0]], [[-3, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175571
    {'center': '96.b1', 'center_index': 96, 'center_order': 8, 'counter': 39, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '96.70', 'image_order': 96, 'indicator': 1, 'kernel': '96.b1', 'kernel_order': 8, 'label': '768.1084399.6a', 'nt': [8, 33], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175573
    {'center': '96.b1', 'center_index': 96, 'center_order': 8, 'counter': 40, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '96.70', 'image_order': 96, 'indicator': 1, 'kernel': '96.b1', 'kernel_order': 8, 'label': '768.1084399.6b', 'nt': [8, 33], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175574
    {'center': '48.a1', 'center_index': 48, 'center_order': 16, 'counter': 41, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '96.197', 'image_order': 96, 'indicator': 1, 'kernel': '96.a1', 'kernel_order': 8, 'label': '768.1084399.6c', 'nt': [12, 51], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175575
    {'center': '48.a1', 'center_index': 48, 'center_order': 16, 'counter': 42, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '96.197', 'image_order': 96, 'indicator': 1, 'kernel': '96.a1', 'kernel_order': 8, 'label': '768.1084399.6d', 'nt': [12, 51], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[-6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175576
    {'center': '96.b1', 'center_index': 96, 'center_order': 8, 'counter': 43, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '192.1000', 'image_order': 192, 'indicator': 1, 'kernel': '192.b1', 'kernel_order': 4, 'label': '768.1084399.6e', 'nt': [12, 87], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175577
    {'center': '96.b1', 'center_index': 96, 'center_order': 8, 'counter': 44, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '192.1000', 'image_order': 192, 'indicator': 1, 'kernel': '192.b1', 'kernel_order': 4, 'label': '768.1084399.6f', 'nt': [12, 87], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175578
    {'center': '96.b1', 'center_index': 96, 'center_order': 8, 'counter': 45, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '192.1000', 'image_order': 192, 'indicator': 1, 'kernel': '192.b1', 'kernel_order': 4, 'label': '768.1084399.6g', 'nt': [12, 87], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175579
    {'center': '96.b1', 'center_index': 96, 'center_order': 8, 'counter': 46, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '192.1000', 'image_order': 192, 'indicator': 1, 'kernel': '192.b1', 'kernel_order': 4, 'label': '768.1084399.6h', 'nt': [12, 87], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[6, 0]], [[-6, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175580
    {'center': '96.b1', 'center_index': 96, 'center_order': 8, 'counter': 47, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '192.1000', 'image_order': 192, 'indicator': 1, 'kernel': '192.a1', 'kernel_order': 4, 'label': '768.1084399.6i', 'nt': [12, 87], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175581
    {'center': '96.b1', 'center_index': 96, 'center_order': 8, 'counter': 48, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '192.1000', 'image_order': 192, 'indicator': 1, 'kernel': '192.a1', 'kernel_order': 4, 'label': '768.1084399.6j', 'nt': [12, 87], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175582
    {'center': '192.a1', 'center_index': 192, 'center_order': 4, 'counter': 49, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '384.5790', 'image_order': 384, 'indicator': 1, 'kernel': '384.a1', 'kernel_order': 2, 'label': '768.1084399.6k', 'nt': [12, 134], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-4, 0]], [[4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 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]]]}
  • id: 5175584
    {'center': '192.a1', 'center_index': 192, 'center_order': 4, 'counter': 50, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '384.5790', 'image_order': 384, 'indicator': 1, 'kernel': '384.a1', 'kernel_order': 2, 'label': '768.1084399.6l', 'nt': [12, 134], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[-4, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[4, 0]], [[4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175585
    {'center': '192.a1', 'center_index': 192, 'center_order': 4, 'counter': 51, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '384.5790', 'image_order': 384, 'indicator': 1, 'kernel': '384.a1', 'kernel_order': 2, 'label': '768.1084399.6m', 'nt': [12, 134], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[4, 0]], [[2, 0]], [[2, 0]], [[4, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-4, 0]], [[-4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175586
    {'center': '192.a1', 'center_index': 192, 'center_order': 4, 'counter': 52, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '384.5790', 'image_order': 384, 'indicator': 1, 'kernel': '384.a1', 'kernel_order': 2, 'label': '768.1084399.6n', 'nt': [12, 134], 'q_character': None, 'values': [[[6, 0]], [[-6, 0]], [[-6, 0]], [[6, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[4, 0]], [[-4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 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]]]}
  • id: 5175587
    {'center': '192.a1', 'center_index': 192, 'center_order': 4, 'counter': 53, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '384.5790', 'image_order': 384, 'indicator': 1, 'kernel': '384.a1', 'kernel_order': 2, 'label': '768.1084399.6o', 'nt': [12, 134], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-4, 0]], [[4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 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]]]}
  • id: 5175588
    {'center': '192.a1', 'center_index': 192, 'center_order': 4, 'counter': 54, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '384.5790', 'image_order': 384, 'indicator': 1, 'kernel': '384.a1', 'kernel_order': 2, 'label': '768.1084399.6p', 'nt': [12, 134], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-4, 0]], [[2, 0]], [[-2, 0]], [[4, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-4, 0]], [[4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175589
    {'center': '192.a1', 'center_index': 192, 'center_order': 4, 'counter': 55, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '384.5790', 'image_order': 384, 'indicator': 1, 'kernel': '384.a1', 'kernel_order': 2, 'label': '768.1084399.6q', 'nt': [12, 134], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[4, 0]], [[2, 0]], [[-2, 0]], [[-4, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[4, 0]], [[-4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5175590
    {'center': '192.a1', 'center_index': 192, 'center_order': 4, 'counter': 56, 'cyclotomic_n': 1, 'dim': 6, 'faithful': False, 'field': [0, 1], 'group': '768.1084399', 'group_counter': 1084399, 'group_order': 768, 'image': None, 'image_isoclass': '384.5790', 'image_order': 384, 'indicator': 1, 'kernel': '384.a1', 'kernel_order': 2, 'label': '768.1084399.6r', 'nt': [12, 134], 'q_character': None, 'values': [[[6, 0]], [[6, 0]], [[-6, 0]], [[-6, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[4, 0]], [[-4, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[4, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 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]]]}
• 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: 59590448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 768, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 6, 'label': '768.1084399.1.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': '768.1084399', 'subgroup_hash': 1084399, 'subgroup_order': 768, 'subgroup_tex': 'C_2^7:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 59590559
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 384, 'counter': 2, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.2.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': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.20166', 'subgroup_hash': 20166, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 384, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.2.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': '384.18158', 'subgroup_hash': 18158, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': True, 'core_order': 384, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.2.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': '384.5744', 'subgroup_hash': 5744, 'subgroup_order': 384, 'subgroup_tex': 'C_2^5:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 59590892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': True, 'centralizer_order': 4, 'characteristic': False, 'core_order': 384, 'counter': 5, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '768.1084399.2.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': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '384.5790', 'subgroup_hash': 5790, 'subgroup_order': 384, 'subgroup_tex': 'C_2\\wr C_6', 'supersolvable': False, 'sylow': 0}
  • id: 59591003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 256, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 2, 'label': '768.1084399.3.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '3.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': True, 'special_labels': ['F'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '256.29598', 'subgroup_hash': 29598, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 2}
  • id: 59591114
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 192, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 59591225
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 192, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.4.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': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 59591239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 192, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.4.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': '192.1000', 'subgroup_hash': 1000, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 192, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.4.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': '192.191', 'subgroup_hash': 191, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 59590460
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 96, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1540', 'subgroup_hash': 1540, 'subgroup_order': 192, 'subgroup_tex': 'C_2^2\\wr C_3', 'supersolvable': False, 'sylow': 0}
  • id: 59590471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 96, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1000', 'subgroup_hash': 1000, 'subgroup_order': 192, 'subgroup_tex': 'C_2^4:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 64, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.4.g1', 'maximal': True, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '192.1497', 'subgroup_hash': 1497, 'subgroup_order': 192, 'subgroup_tex': 'C_2^5:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 59590493
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 128, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.6.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.2328', 'subgroup_hash': 2328, 'subgroup_order': 128, 'subgroup_tex': 'C_2^7', 'supersolvable': True, 'sylow': 0}
  • id: 59590504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 128, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.6.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': 2163, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 128, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.6.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 128, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.6.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '6.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59590537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.6.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.2163', 'subgroup_hash': 2163, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.6.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.6.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.2163', 'subgroup_hash': 2163, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.6.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': '128.1009', 'subgroup_hash': 1009, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.6.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '128.1578', 'subgroup_hash': 1578, 'subgroup_order': 128, 'subgroup_tex': 'C_2^3\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59590593
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 96, 'counter': 23, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.8.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': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590604
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 96, 'counter': 24, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': ['C3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590615
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590626
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590637
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.228', 'subgroup_hash': 228, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590648
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.196', 'subgroup_hash': 196, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 59590659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 32, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.197', 'subgroup_hash': 197, 'subgroup_order': 96, 'subgroup_tex': 'D_4\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590671
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 48, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.229', 'subgroup_hash': 229, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 4, 'characteristic': False, 'core_order': 48, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '96.70', 'subgroup_hash': 70, 'subgroup_order': 96, 'subgroup_tex': 'C_2^3:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 64, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.12.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590704
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 64, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.12.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 59590715
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 64, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.12.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 59590726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.12.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': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.12.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590748
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 59590759
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 59590770
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.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': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 59590782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590826
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 59590837
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 59590848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590870
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.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': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 59590881
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 59590893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590904
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.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': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590981
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 59590992
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 59591004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.12.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '12.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.60', 'subgroup_hash': 60, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591115
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 48, 'counter': 70, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '48.50', 'subgroup_hash': 50, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59591126
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59591137
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59591148
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59591159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 8, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.45', 'subgroup_hash': 45, 'subgroup_order': 48, 'subgroup_tex': 'C_6\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591170
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59591181
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59591192
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59591203
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59591214
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.16.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.49', 'subgroup_hash': 49, 'subgroup_order': 48, 'subgroup_tex': 'C_2^2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59591226
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.16.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '48.31', 'subgroup_hash': 31, 'subgroup_order': 48, 'subgroup_tex': 'C_4\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59591230
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 32, 'counter': 81, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.24.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 10, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59591231
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 32, 'counter': 82, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.24.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59591232
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 32, 'counter': 83, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.24.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59591233
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': True, 'core_order': 32, 'counter': 84, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.24.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 85, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.24.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.13', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 13, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591235
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 32, 'counter': 86, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.24.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '24.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '24.15', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 15, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times C_6', 'simple': False, 'solvable': True, 'special_labels': ['D', 'L1', 'D1', 'C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59591236
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59591237
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.g2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.g2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59591238
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59591240
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59591241
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.i2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59591242
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.i3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.i3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59591243
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59591244
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.j2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.j2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59591245
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59591246
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59591247
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59591248
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.m2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.m2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59591249
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590450
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590451
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.o2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.o2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590452
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.o3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.o3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590453
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590454
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.p2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.p2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590457
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590461
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590464
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590465
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590468
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590469
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bc2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bc2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590473
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590474
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bf2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bf2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590475
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590476
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590477
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590478
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bh2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bh2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590481
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590487
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590488
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590489
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590490
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590491
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590492
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bt2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bt2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590494
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bt3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bt3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590495
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590496
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bu2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bu2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590497
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bu3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bu3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590498
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590499
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bv2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bv2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590502
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590503
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.by2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.by2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59590506
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59590508
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590509
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590511
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590512
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cf2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cf2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590513
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cf3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cf3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590514
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590516
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590519
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590522
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590523
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cm2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cm2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59590525
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59590528
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590529
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590534
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590543
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.de1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590544
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.de2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.de2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590545
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.df1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590546
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.dg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590547
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.dg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590549
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.dg3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dg3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590550
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.dh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590551
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.dh2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dh2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590552
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.di1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590553
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.dj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590554
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.dk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590555
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.dl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590556
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.dm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59590557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.dn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59590558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.do1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59590561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.dp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59590562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.dq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59590563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.dr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59590564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.24.ds1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59590565
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590566
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, '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': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590567
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 8, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59590568
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '24.15', 'subgroup_hash': 15, 'subgroup_order': 24, 'subgroup_tex': 'C_2^2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59590569
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.32.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '24.9', 'subgroup_hash': 9, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59590570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 12, 'characteristic': False, 'core_order': 4, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.32.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': None, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '24.10', 'subgroup_hash': 10, 'subgroup_order': 24, 'subgroup_tex': 'C_3\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590572
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.32.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590573
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.32.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590574
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.32.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590575
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.32.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590576
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.32.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '24.13', 'subgroup_hash': 13, 'subgroup_order': 24, 'subgroup_tex': 'C_2\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590577
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 16, 'counter': 215, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.48.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2\\times A_4', 'simple': False, 'solvable': True, 'special_labels': ['S'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590578
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 216, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.48.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590579
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 217, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.48.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590580
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 218, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.48.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.49', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 49, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^2\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, '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: 59590581
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': True, 'core_order': 16, 'counter': 219, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.48.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '48.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '48.45', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 45, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 48, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times D_4', 'simple': False, 'solvable': True, 'special_labels': ['L2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590583
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590584
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.f2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.f2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590585
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590586
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.g2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.g2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590587
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590588
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.h2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.h2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590589
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590590
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590591
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590592
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.k2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.k2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590594
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.k3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.k3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590595
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590596
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.l2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.l2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590597
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590598
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.m2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.m2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590599
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590600
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.n2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.n2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590602
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590603
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.p2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.p2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590605
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590606
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590607
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.r2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.r2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590608
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590609
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.s2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.s2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590611
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590612
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.u2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.u2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590613
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590614
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.v2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.v2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590616
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.v3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.v3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590617
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.v4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.v4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590618
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590619
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.w2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.w2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590620
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.w3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.w3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590622
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590623
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.y2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.y2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590624
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590625
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.z2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.z2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590627
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590628
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590629
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590630
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590631
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590632
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590633
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590634
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.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': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590635
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590636
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bi2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bi2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590638
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bi3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bi3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590639
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bi4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bi4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590640
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bi5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bi5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590641
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bi6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bi6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590642
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bi7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bi7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590643
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590644
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bj2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590645
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bj3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bj3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590646
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590647
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 8, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590650
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590651
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bn2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bn2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590652
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590653
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bo2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bo2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590654
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590655
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590656
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590657
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590658
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590660
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590661
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bu2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bu2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590662
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590663
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bv2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bv2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590664
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bv3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bv3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590665
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590666
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bw2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bw2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590668
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590669
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.by2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.by2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590673
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590674
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590675
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cb2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cb2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590676
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590677
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cc2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cc2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590680
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590681
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cf2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cf2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590683
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cf3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cf3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590684
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590685
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590686
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590687
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ch2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ch2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590688
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590689
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ci2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ci2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590690
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ci3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ci3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590691
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ci4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ci4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590692
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590694
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cj2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cj2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590695
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cj3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cj3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590697
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590698
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cl2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cl2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590699
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590700
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cm2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cm2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590701
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590702
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590703
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590705
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590706
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590707
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cr2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cr2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590708
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590709
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cs2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cs2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590710
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590711
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ct2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ct2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590714
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590716
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590717
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cx2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cx2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590718
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590719
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cy2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cy2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.de1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590727
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.df1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590728
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590729
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590730
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.di1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590731
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590732
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590733
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dk2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dk2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590734
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dk3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dk3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590735
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dk4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dk4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590736
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dk5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dk5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590738
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dk6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dk6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590739
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dk7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dk7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590740
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590741
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dl2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dl2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590742
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dl3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dl3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590743
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590744
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dm2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dm2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590745
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dm3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dm3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590746
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dm4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dm4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590747
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dm5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dm5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590749
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dm6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dm6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590750
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dm7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dm7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590751
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590752
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dn2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dn2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590753
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dn3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dn3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590754
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.do1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590755
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.do2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.do2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590756
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590757
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dp2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dp2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590758
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590760
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dq2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dq2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590761
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590762
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dr2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dr2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590763
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ds1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590764
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ds2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ds2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590765
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590766
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dt2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dt2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590767
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.du1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590768
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.du2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.du2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590769
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590771
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590772
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dw2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dw2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590773
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590774
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590775
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.dz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.dz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590776
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ea1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ea1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590777
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ea2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ea2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590778
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ea3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ea3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590779
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ea4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ea4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590780
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.eb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.eb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590783
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.eb2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.eb2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590784
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.eb3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.eb3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590785
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ec1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ec1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590786
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ec2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ec2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590787
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ec3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ec3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590788
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ec4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ec4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590789
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ec5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ec5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590790
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ec6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ec6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590791
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ec7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ec7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590792
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ed1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ed1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590794
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ed2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ed2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590795
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ed3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ed3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590796
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ee1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ee1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590797
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ee2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ee2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ef1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ef1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590799
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.eg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.eg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590800
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.eg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.eg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590801
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.eh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.eh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590802
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ei1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ei1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590803
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ei2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ei2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ej1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ej1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590806
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ek1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ek1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590807
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ek2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ek2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590808
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.el1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.el1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590809
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.el2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.el2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590810
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.el3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.el3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.em1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.em1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590812
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.en1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.en1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590813
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.en2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.en2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590814
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.eo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.eo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590816
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.eo2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.eo2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ep1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ep1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.eq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.eq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590819
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.er1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.er1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590820
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.es1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.es1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590821
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.es2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.es2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.et1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.et1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.eu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.eu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ev1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ev1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ew1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ew1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590827
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ex1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ex1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590828
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ex2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ex2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590829
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ey1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ey1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590830
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ey2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ey2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590831
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ez1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ez1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590832
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fa1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fa1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590833
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fa2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fa2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590834
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590835
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590836
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fe1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fe1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.ff1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.ff1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590840
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590843
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590844
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590847
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590849
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fn2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fn2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590850
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fn3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fn3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590851
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fn4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fn4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590852
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590853
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fo2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fo2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590854
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.48.fo3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '48.fo3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59590855
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.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': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59590856
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.64.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.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': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59590857
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.64.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.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': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59590858
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 4, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.64.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.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': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59590860
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.64.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.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': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.5', 'subgroup_hash': 5, 'subgroup_order': 12, 'subgroup_tex': 'C_2\\times C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59590861
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 2, 'counter': 471, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.64.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.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': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.2', 'subgroup_hash': 2, 'subgroup_order': 12, 'subgroup_tex': 'C_{12}', 'supersolvable': True, 'sylow': 0}
  • id: 59590862
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.64.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590863
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 1, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.64.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12.3', 'subgroup_hash': 3, 'subgroup_order': 12, 'subgroup_tex': 'A_4', 'supersolvable': False, 'sylow': 0}
  • id: 59590864
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 474, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.96.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.197', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 197, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'D_4\\times A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590865
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': True, 'core_order': 8, 'counter': 475, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.96.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.70', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 70, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3:A_4', 'simple': False, 'solvable': True, 'special_labels': ['U0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590866
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 8, 'counter': 476, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.96.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '96.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '96.228', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 228, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 96, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^3\\times A_4', 'simple': False, 'solvable': True, 'special_labels': ['Phi', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590867
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, '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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590868
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590869
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, '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': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590871
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590872
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590873
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.h2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.h2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590874
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590875
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.i2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.i2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590876
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590877
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.j2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.j2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590878
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590879
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590880
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590882
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590883
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.n2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.n2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590884
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590885
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.o2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.o2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590886
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590887
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590888
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590889
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590890
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590891
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.t2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.t2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590894
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590895
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.u2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.u2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590896
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.u3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.u3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590897
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590898
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.v2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.v2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590899
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.v3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.v3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590900
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590901
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.w2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.w2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590902
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590903
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.x2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.x2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590905
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590906
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.y2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.y2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590907
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.y3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.y3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590908
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 4, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590909
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590910
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590911
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590912
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590913
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 4, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590914
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590916
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590917
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.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': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590918
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 4, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590920
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590921
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bk2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bk2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590922
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590923
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bl2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bl2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590924
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590925
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590927
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590928
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590929
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590930
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bq2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bq2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590931
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590932
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.br2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.br2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590933
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590934
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bs2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bs2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590935
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590936
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590938
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590939
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590940
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590941
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590942
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.by2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.by2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590943
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.by3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.by3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590944
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590945
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.bz2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.bz2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590946
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590947
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ca2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ca2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590949
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ca3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ca3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590950
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590951
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cb2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cb2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590952
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590953
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cc2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cc2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590954
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590955
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590956
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cd3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cd3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59590958
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590960
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cf2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cf2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590961
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590962
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590963
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590964
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590965
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590966
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590967
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ck2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ck2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590968
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590969
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cl2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cl2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590971
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590972
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cm2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cm2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590973
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590974
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590975
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.co2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.co2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590976
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590977
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cp2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cp2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590978
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590979
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cq2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cq2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590980
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cq3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cq3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590982
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590983
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cr2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cr2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590984
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cr3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cr3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590985
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590986
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cs2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cs2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590987
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590988
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ct2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ct2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590989
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ct3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ct3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590990
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590991
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cu2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cu2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590993
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590994
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cv2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cv2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590995
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cv3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cv3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590996
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cv4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cv4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590997
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590998
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cw2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cw2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59590999
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cw3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cw3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591000
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cw4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cw4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591001
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cw5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cw5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591002
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cw6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cw6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591005
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cw7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cw7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591006
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591007
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cx2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cx2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591008
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cx3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cx3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591009
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591010
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cy2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cy2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591011
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591012
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cz2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cz2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591013
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cz3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cz3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591014
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.cz4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.cz4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591016
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591017
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.da2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.da2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591018
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591019
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.db2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.db2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591020
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591021
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dc2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dc2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591022
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591023
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.de1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591024
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.df1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591025
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.df2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.df2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591027
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591028
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591029
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591030
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.di1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591031
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591032
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dj2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dj2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591033
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591034
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dk2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dk2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591035
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591036
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dl2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dl2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591038
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591039
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591040
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.do1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591041
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591042
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dp2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dp2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591043
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591044
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dq2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dq2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591045
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591046
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dr2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dr2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591047
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ds1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591049
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ds2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ds2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591051
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.du1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591052
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591053
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dv2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dv2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591054
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591055
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dw2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dw2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591057
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591058
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dy2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dy2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591060
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591061
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.dz2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.dz2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591062
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ea1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ea1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591063
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ea2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ea2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.eb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.eb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591065
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ec1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ec1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591066
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ed1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ed1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591067
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ee1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ee1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591068
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ef1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ef1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591069
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.eg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.eg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591071
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.eh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.eh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591072
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ei1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ei1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591073
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ei2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ei2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591074
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ei3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ei3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591075
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ei4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ei4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591076
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ej1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ej1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591077
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ej2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ej2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591078
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ek1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ek1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591079
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ek2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ek2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591080
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ek3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ek3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591082
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ek4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ek4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591083
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.el1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.el1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591084
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.el2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.el2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591085
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.el3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.el3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591086
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.em1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.em1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591087
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.em2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.em2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591088
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.en1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.en1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591089
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.en2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.en2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.eo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.eo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591091
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ep1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ep1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591093
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ep2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ep2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591094
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ep3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ep3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591095
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ep4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ep4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591096
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ep5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ep5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591097
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ep6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ep6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591098
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.ep7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.ep7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591099
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.eq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.eq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591100
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.eq2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.eq2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591101
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.eq3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.eq3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591102
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.eq4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.eq4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591104
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.eq5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.eq5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591105
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.eq6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.eq6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591106
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.eq7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.eq7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591107
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.er1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.er1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591108
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.er2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.er2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591109
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.er3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.er3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591110
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.es1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.es1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591111
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.es2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.es2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591112
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.es3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.es3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591113
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.es4', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.es4', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591116
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.es5', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.es5', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591117
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.es6', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.es6', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591118
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.96.es7', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '96.es7', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 96, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59591119
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 703, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.128.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.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': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59591120
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 2, 'counter': 704, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.128.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.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': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59591121
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 705, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.128.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.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': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59591122
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 24, 'characteristic': False, 'core_order': 1, 'counter': 706, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.128.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.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': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6.2', 'subgroup_hash': 2, 'subgroup_order': 6, 'subgroup_tex': 'C_6', 'supersolvable': True, 'sylow': 0}
  • id: 59591123
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 4, 'counter': 707, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.192.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1000', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1000, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:A_4', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591124
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 4, 'counter': 708, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.192.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '192.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1000', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1000, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^4:A_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591125
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 4, 'counter': 709, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '768.1084399.192.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '192.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '192.1497', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1497, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 192, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^5:C_6', 'simple': False, 'solvable': True, 'special_labels': ['C6'], '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: 59591127
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 2, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591128
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591129
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591130
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591131
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591132
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591133
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591134
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591135
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591136
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591138
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591139
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591140
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591141
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591142
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591143
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 2, 'counter': 725, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.192.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591144
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591145
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591146
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591147
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591149
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591150
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591151
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591152
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.z2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.z2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591153
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591154
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.ba2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ba2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591155
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591156
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bb2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bb2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591157
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591158
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591160
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591161
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591162
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591163
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.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': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591164
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bh2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bh2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591165
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591166
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bi2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bi2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591167
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591168
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bj2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bj2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591169
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591171
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bk2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bk2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591172
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591173
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591174
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 753, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591175
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591176
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bo2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bo2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591177
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591178
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bp2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bp2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591179
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591180
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bq2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bq2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591182
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591183
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591184
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 762, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59591185
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591186
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bu2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bu2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591187
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bu3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bu3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591188
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591189
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bv2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bv2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591190
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591191
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bw2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bw2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591193
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bw3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bw3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591194
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591195
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bx2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bx2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591196
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bx3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bx3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591197
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591198
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.by2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.by2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591199
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591200
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.bz2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.bz2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591201
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591202
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.ca2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ca2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591204
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.ca3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.ca3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591205
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591206
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.cb2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cb2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591207
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.cb3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cb3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591208
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591209
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.cc2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cc2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591210
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591211
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.cd2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cd2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591212
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '768.1084399.192.cd3', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '192.cd3', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59591213
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 48, 'characteristic': False, 'core_order': 1, 'counter': 789, 'cyclic': True, 'direct': None, 'hall': 3, 'label': '768.1084399.256.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.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': 256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3.1', 'subgroup_hash': 1, 'subgroup_order': 3, 'subgroup_tex': 'C_3', 'supersolvable': True, 'sylow': 3}
  • id: 59591215
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': False, 'core_order': 2, 'counter': 790, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '768.1084399.384.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '384.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.5790', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 5790, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\wr C_6', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59591216
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 2, 'counter': 791, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '768.1084399.384.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '384.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '384.18158', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 18158, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 384, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^5:A_4', 'simple': True, 'solvable': True, 'special_labels': ['C6'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59591217
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 384, 'characteristic': False, 'core_order': 1, 'counter': 792, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.384.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59591218
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 793, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.384.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59591219
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 794, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.384.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59591220
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 795, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.384.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59591221
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 796, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.384.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59591222
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 797, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.384.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59591223
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 798, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.384.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59591224
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 799, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.384.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59591227
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 800, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.384.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59591228
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': False, 'central_factor': False, 'centralizer_order': 96, 'characteristic': False, 'core_order': 1, 'counter': 801, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '768.1084399.384.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '384.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': 384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59591229
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '768.1084399', 'ambient_counter': 1084399, 'ambient_order': 768, 'ambient_tex': 'C_2^7:C_6', 'central': True, 'central_factor': False, 'centralizer_order': 768, 'characteristic': True, 'core_order': 1, 'counter': 802, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '768.1084399.768.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '768.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '768.1084399', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1084399, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 768, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^7:C_6', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U2', 'D2', 'C7'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

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

  
  
  • id: 59590472
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.l1', '12.o1'], 'contains': ['48.bk1', '48.bs1', '48.bt1', '48.ce1'], 'core': '96.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [9294, -1, 7861, -1], 'generators': [7875625086, 288, 27430179840, 27430179894, 289], 'label': '768.1084399.24.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.be1', 'projective_image': None, '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': None}
  • id: 59590857
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '64.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.f1', '16.g1', '32.c1', '32.d1', '32.e1'], 'contains': ['128.a1', '128.b1', '192.a1'], 'core': '192.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [5314, -1, 7047, -1], 'generators': [79914240, 288, 289], 'label': '768.1084399.64.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.e1', 'old_label': '64.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590858
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '64.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.h1', '16.i1', '32.c1', '32.f1'], 'contains': ['128.b1', '128.c1', '192.b1'], 'core': '192.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [5229, -1, 6615, -1], 'generators': [54, 79914240, 288], 'label': '768.1084399.64.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.e1', 'old_label': '64.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591120
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '128.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.g1', '32.h1', '64.c1', '64.d1', '64.e1', '64.f1'], 'contains': ['256.a1', '384.b1'], 'core': '384.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [5493, -1, 6986, -1], 'generators': [79914240, 288], 'label': '768.1084399.128.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.e1', 'old_label': '128.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591121
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '128.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.i1', '32.j1', '64.a1', '64.d1'], 'contains': ['256.a1', '384.c1'], 'core': '768.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [30, -1, 5351, -1], 'generators': [54, 79914240], 'label': '768.1084399.128.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.c1', 'old_label': '128.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591122
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '128.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.k1', '64.b1', '64.e1'], 'contains': ['256.a1', '384.l1'], 'core': '768.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [6089, -1, 7292, -1], 'generators': [25390794240, 32736493855], 'label': '768.1084399.128.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1', 'old_label': '128.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591214
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.bd1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '8.e1', '8.g1'], 'contains': ['32.g1', '32.k1', '48.c1', '64.e1'], 'core': '48.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [6360, -1, 6442, -1], 'generators': [79914240, 288, 32736493855, 27430179840, 20717187120], 'label': '768.1084399.16.j1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '16.j1', 'projective_image': None, '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': None}
  • id: 59590448
    {'ambient': '768.1084399', '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': '192.a1', 'complements': ['768.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '3.a1', '4.g1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7525, 4855, 6515, 5615], 'generators': [79914240, 1959919920, 288, 15335757414, 20717187120, 20717187409, 2918003760, 6438625326, 27909186480], 'label': '768.1084399.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '3.a1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': None, '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': None}
  • id: 59590449
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1', 'complements': ['192.d1', '192.bc1', '192.t1', '192.j1', '192.k1', '192.bd1', '192.bb1', '192.i1', '192.bb2', '192.ca1', '192.ca2', '192.ca3', '192.bz2', '192.x1', '192.bz1'], 'conjugacy_class_count': 2, 'contained_in': ['2.c1', '2.d1'], 'contains': ['8.b1', '12.e1', '16.k1'], 'core': '4.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [7566, 1824, 6606, 6826], 'generators': [79914240, 288, 1959919920, 20717187120, 44602755270, 2918003760, 27909186480], 'label': '768.1084399.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.c1', '2.d1'], 'normal_contains': ['8.b1', '12.e1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590450
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.f1', '12.q1'], 'contains': ['48.u1', '48.u2', '48.v3', '48.v4', '48.w1', '48.bi3', '48.bi4', '48.bi5', '48.bj2', '48.ec1', '48.ec4', '48.ed1', '48.fn1', '48.fn2', '48.fo1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3052, -1, 2261, -1], 'generators': [21196264320, 1959919920, 15335757414, 20717187409, 20717187408], 'label': '768.1084399.24.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.o1', 'projective_image': None, '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': None}
  • id: 59590451
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.o2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.f1', '12.q1'], 'contains': ['48.u1', '48.u2', '48.v1', '48.v4', '48.w3', '48.bi2', '48.bi4', '48.bi6', '48.bj3', '48.ec2', '48.ec5', '48.ed2', '48.fn1', '48.fn3', '48.fo2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2788, -1, 2229, -1], 'generators': [1959919920, 15335757414, 20717187409, 2918003760, 20717187408], 'label': '768.1084399.24.o2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.o2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.o2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590452
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.o3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['12.f1', '12.q1'], 'contains': ['48.u1', '48.u2', '48.v1', '48.v2', '48.v3', '48.w2', '48.bi1', '48.bi2', '48.bi5', '48.bi6', '48.bi7', '48.bj1', '48.bj2', '48.ec3', '48.ec6', '48.ec7', '48.ed3', '48.fn2', '48.fn3', '48.fn4', '48.fo3'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2644, -1, 2130, -1], 'generators': [19239897600, 15335757414, 20717187409, 2918003760, 20717187408], 'label': '768.1084399.24.o3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.o3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.o3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590453
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.f1', '12.i1', '12.r1'], 'contains': ['48.n1', '48.s2', '48.v1', '48.v3', '48.y1', '48.z2', '48.ee1', '48.ei1', '48.ek1', '48.eo1', '48.es1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3134, -1, 3098, -1], 'generators': [19239897654, 15335757360, 20717187409, 2918003760, 20717187408], 'label': '768.1084399.24.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.p1', 'projective_image': None, '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': None}
  • id: 59590454
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.p2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.f1', '12.r1'], 'contains': ['48.n2', '48.s1', '48.v1', '48.v2', '48.v3', '48.v4', '48.y2', '48.z1', '48.z2', '48.ee2', '48.ei2', '48.ek1', '48.ek2', '48.eo2', '48.es2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2971, -1, 2441, -1], 'generators': [19239897654, 27430179840, 20717187409, 2918003760, 20717187408], 'label': '768.1084399.24.p2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.p2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.p2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590455
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.i1', '12.s1'], 'contains': ['48.o1', '48.t1', '48.y1', '48.ba1', '48.bb1', '48.ef1', '48.ej1', '48.ep1', '48.et1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9479, -1, 9833, -1], 'generators': [15335757360, 20717187409, 2918003760, 6438625326, 20717187408], 'label': '768.1084399.24.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '24.q1', 'projective_image': None, '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': None}
  • id: 59590456
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.i1', '12.v1'], 'contains': ['48.y1', '48.bc1', '48.eq1', '48.eu1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8882, -1, 6651, -1], 'generators': [15335757360, 7396583190, 20717187409, 2918003760, 20717187408], 'label': '768.1084399.24.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '24.r1', 'projective_image': None, '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': None}
  • id: 59590457
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.b1', '12.f1'], 'contains': ['48.p1', '48.p2', '48.q1', '48.w1', '48.w2', '48.w3', '48.y1', '48.y2', '48.eg1', '48.eg2', '48.eh1', '48.el1', '48.el2', '48.el3', '48.en1', '48.en2', '48.er1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7522, -1, 4297, -1], 'generators': [27909186768, 1959919920, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.24.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.s1', 'projective_image': None, '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': None}
  • id: 59590458
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.i1', '12.w1'], 'contains': ['48.x1', '48.z2', '48.ba1', '48.bc1', '48.em1', '48.ev1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9166, -1, 7086, -1], 'generators': [14856750774, 27430179840, 20717187409, 6438625326, 20717187408], 'label': '768.1084399.24.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '24.t1', 'projective_image': None, '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': None}
  • id: 59590459
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.i1', '12.y1'], 'contains': ['48.z2', '48.bb1', '48.bc1', '48.ew1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [8981, -1, 7016, -1], 'generators': [14856750774, 20717187121, 27430179840, 37536352686, 20717187408], 'label': '768.1084399.24.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '24.u1', 'projective_image': None, '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': None}
  • id: 59590460
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.a1'], 'contains': ['8.a1', '8.h1', '12.h1', '16.b1', '16.c1'], 'core': '8.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4971, -1, 5176, -1], 'generators': [79914240, 1959919920, 15335757414, 20717187120, 20717187409, 2918003760, 27909186480], 'label': '768.1084399.4.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '4.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590461
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.g1', '12.h1', '12.r1'], 'contains': ['48.n1', '48.n2', '48.bd1', '48.bf1', '48.ee1', '48.ee2', '48.fc1', '48.fg1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [3123, -1, 3625, -1], 'generators': [19239897654, 27430179840, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.24.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.v1', 'projective_image': None, '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': None}
  • id: 59590462
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.j1', '12.k1', '12.s1'], 'contains': ['48.o1', '48.bd1', '48.bg1', '48.bh1', '48.ef1', '48.fe1', '48.fh1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9186, -1, 9896, -1], 'generators': [27430179840, 20717187120, 20717187409, 2918003760, 6438625326], 'label': '768.1084399.24.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.w1', 'projective_image': None, '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': None}
  • id: 59590463
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.j1', '12.k1', '12.u1'], 'contains': ['48.bd1', '48.bh1', '48.ff1', '48.fi1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8858, -1, 9618, -1], 'generators': [45560713086, 27430179840, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.24.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.x1', 'projective_image': None, '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': None}
  • id: 59590464
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '12.g1', '12.j1'], 'contains': ['48.p1', '48.p2', '48.bd1', '48.be1', '48.eg1', '48.eg2', '48.fb1', '48.fd1', '48.fj1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7583, -1, 5749, -1], 'generators': [27909186768, 27430179840, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.24.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.y1', 'projective_image': None, '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': None}
  • id: 59590465
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.g1', '12.r1'], 'contains': ['48.s1', '48.s2', '48.be1', '48.bf1', '48.ei1', '48.ei2', '48.fg1', '48.fk1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [4185, -1, 3789, -1], 'generators': [14856750774, 2918004048, 27430179840, 20717187120, 20717187409], 'label': '768.1084399.24.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.z1', 'projective_image': None, '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': None}
  • id: 59590466
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.j1', '12.s1'], 'contains': ['48.t1', '48.be1', '48.bg1', '48.bh1', '48.ej1', '48.fh1', '48.fl1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9230, -1, 9959, -1], 'generators': [2918004048, 27430179840, 20717187120, 20717187409, 6438625326], 'label': '768.1084399.24.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.ba1', 'projective_image': None, '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': None}
  • id: 59590467
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.j1', '12.u1'], 'contains': ['48.be1', '48.bh1', '48.fi1', '48.fm1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8906, -1, 9693, -1], 'generators': [2918004048, 31295905326, 27430179840, 20717187120, 20717187409], 'label': '768.1084399.24.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.bb1', 'projective_image': None, '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': None}
  • id: 59590468
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.l1', '12.m1', '12.n1'], 'contains': ['48.f1', '48.g2', '48.h2', '48.bk1', '48.bl1', '48.bn1', '48.bo1', '48.bu1', '48.by1', '48.cb1', '48.cc1'], 'core': '96.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [6967, -1, 5650, -1], 'generators': [15335757360, 288, 15335757414, 15335757649, 2918003760], 'label': '768.1084399.24.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bc1', 'projective_image': None, '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': None}
  • id: 59590469
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bc2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.m1', '12.n1'], 'contains': ['48.f2', '48.g1', '48.h1', '48.bk1', '48.bl1', '48.bn2', '48.bo2', '48.bu2', '48.by2', '48.cb2', '48.cc2'], 'core': '96.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [5968, -1, 5134, -1], 'generators': [288, 27430179840, 27430179894, 289, 2918003760], 'label': '768.1084399.24.bc2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bc2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bc2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590470
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '12.l1'], 'contains': ['48.bk1', '48.bm1', '48.bq1', '48.br1', '48.bx1', '48.bz1', '48.cd1'], 'core': '96.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [9370, -1, 8713, -1], 'generators': [288, 27430179840, 27430179894, 289, 6438625326], 'label': '768.1084399.24.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.bd1', 'projective_image': None, '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': None}
  • id: 59590471
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1'], 'contains': ['8.a1', '8.i1', '12.k1', '16.d1'], 'core': '8.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6130, -1, 6300, -1], 'generators': [79914240, 1959919920, 20717187120, 20717187409, 2918003760, 6438625326, 27909186480], 'label': '768.1084399.4.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590473
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.d1', '12.m1'], 'contains': ['48.k1', '48.l1', '48.bl1', '48.bv1', '48.bw1', '48.cf1', '48.cg1'], 'core': '96.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [5008, -1, 2408, -1], 'generators': [1959919920, 288, 1959919974, 289, 2918003760], 'label': '768.1084399.24.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.bf1', 'projective_image': None, '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': None}
  • id: 59590474
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bf2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.m1'], 'contains': ['48.k2', '48.k3', '48.l2', '48.bl1', '48.bv2', '48.bv3', '48.bw2', '48.cf2', '48.cf3', '48.cg2'], 'core': '96.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [5462, -1, 2967, -1], 'generators': [19239897600, 19239897654, 19239897889, 288, 2918003760], 'label': '768.1084399.24.bf2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bf2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bf2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590475
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.n1', '12.p1', '12.q1'], 'contains': ['48.m1', '48.r1', '48.u2', '48.bn1', '48.bo1', '48.bp1', '48.bu2', '48.ch1', '48.cs1', '48.cx1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7600, -1, 5871, -1], 'generators': [15335757360, 288, 20717187174, 15335757649, 2918003760], 'label': '768.1084399.24.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bg1', 'projective_image': None, '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': None}
  • id: 59590476
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.n1', '12.q1'], 'contains': ['48.m2', '48.r2', '48.u1', '48.bn2', '48.bo2', '48.bp1', '48.bu1', '48.bu2', '48.ch2', '48.cs2', '48.cx2'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7085, -1, 5200, -1], 'generators': [288, 15335757414, 27430179840, 289, 2918003760], 'label': '768.1084399.24.bg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bg2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bg2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590477
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.m1', '12.q1', '12.r1'], 'contains': ['48.n1', '48.s2', '48.v2', '48.v4', '48.bn1', '48.bo2', '48.bv1', '48.bv2', '48.bv3', '48.ci1', '48.ci2', '48.ct1', '48.cy1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6378, -1, 3362, -1], 'generators': [19239897654, 15335757360, 288, 15335757649, 2918003760], 'label': '768.1084399.24.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bh1', 'projective_image': None, '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': None}
  • id: 59590478
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.m1', '12.q1', '12.r1'], 'contains': ['48.n2', '48.s1', '48.v1', '48.v3', '48.bn2', '48.bo1', '48.bo2', '48.bv1', '48.bv2', '48.bv3', '48.ci3', '48.ci4', '48.ct2', '48.cy2'], 'core': '192.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6516, -1, 3526, -1], 'generators': [19239897654, 288, 27430179840, 289, 2918003760], 'label': '768.1084399.24.bh2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bh2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bh2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590479
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.l1', '12.p1', '12.s1'], 'contains': ['48.o1', '48.t1', '48.bn1', '48.bq1', '48.bs1', '48.cu1', '48.cz1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9459, -1, 9346, -1], 'generators': [15335757360, 288, 15335757649, 2918003760, 6438625326], 'label': '768.1084399.24.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590480
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.l1', '12.p1', '12.t1'], 'contains': ['48.bn1', '48.br1', '48.bt1', '48.cv1', '48.da1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9393, -1, 7635, -1], 'generators': [15335757360, 288, 44602755270, 15335757649, 2918003760], 'label': '768.1084399.24.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590481
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '12.m1', '12.q1'], 'contains': ['48.p1', '48.p2', '48.q1', '48.w1', '48.w2', '48.w3', '48.bn1', '48.bn2', '48.bw1', '48.bw2', '48.cj1', '48.cj2', '48.cj3', '48.cr1', '48.cr2', '48.cw1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7532, -1, 4100, -1], 'generators': [288, 1959919920, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.24.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590482
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['8.c1', '8.e1', '8.f1', '8.g1', '12.a1', '16.e1'], 'core': '12.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7517, -1, 6541, -1], 'generators': [79914240, 288, 15335757414, 27430179840, 20717187120, 20717187409, 6438625326], 'label': '768.1084399.4.g1', 'mobius_quo': None, 'mobius_sub': -1, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '4.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590483
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.l1', '12.p1', '12.w1'], 'contains': ['48.x1', '48.bo1', '48.bq1', '48.bt1', '48.db1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9272, -1, 7502, -1], 'generators': [2438997174, 288, 27430179840, 289, 6438625326], 'label': '768.1084399.24.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590484
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.l1', '12.p1', '12.x1'], 'contains': ['48.bo1', '48.br1', '48.bs1', '48.dc1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9417, -1, 8568, -1], 'generators': [7875625086, 288, 27430179840, 289, 21675271014], 'label': '768.1084399.24.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590485
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.a1', '12.p1'], 'contains': ['48.bp1', '48.bq1', '48.br1', '48.bx1', '48.ck1', '48.dd1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9609, -1, 8776, -1], 'generators': [288, 15335757414, 27430179840, 289, 6438625326], 'label': '768.1084399.24.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590486
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.o1', '12.p1'], 'contains': ['48.bp1', '48.bs1', '48.bt1', '48.de1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9318, -1, 7936, -1], 'generators': [7875625086, 288, 15335757414, 27430179840, 289], 'label': '768.1084399.24.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bo1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590487
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1', '12.n1', '12.r1', '12.s1', '12.t1', '12.u1', '12.v1'], 'contains': ['48.a1', '48.y1', '48.y2', '48.bd1', '48.be1', '48.bn1', '48.bn2', '48.cl1', '48.cl2', '48.df1', '48.dg1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8780, -1, 6113, -1], 'generators': [288, 27430179840, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.24.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590488
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.n1', '12.r1', '12.w1', '12.x1', '12.y1'], 'contains': ['48.a1', '48.z1', '48.z2', '48.bf1', '48.bo1', '48.bo2', '48.cm1', '48.cm2', '48.dh1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7165, -1, 5969, -1], 'generators': [288, 27430179840, 20717187120, 20717187409, 12936672054], 'label': '768.1084399.24.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590489
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.br1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.o1', '12.s1', '12.u1', '12.x1', '12.y1'], 'contains': ['48.a1', '48.bb1', '48.bh1', '48.bs1', '48.cp1', '48.di1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9340, -1, 8936, -1], 'generators': [43604794926, 288, 27430179840, 20717187120, 20717187409], 'label': '768.1084399.24.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.br1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590490
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.bs1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.o1', '12.t1', '12.v1', '12.w1', '12.y1'], 'contains': ['48.a1', '48.bc1', '48.bt1', '48.cq1', '48.dj1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9251, -1, 7225, -1], 'generators': [6917667270, 288, 27430179840, 20717187120, 20717187409], 'label': '768.1084399.24.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590491
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.m1', '12.q1'], 'contains': ['48.bi3', '48.bi6', '48.bj1', '48.bu1', '48.bu2', '48.bv1', '48.bv2', '48.bw2', '48.dk1', '48.dk2', '48.dl1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6399, -1, 3197, -1], 'generators': [14856750774, 19239897600, 19239897889, 288, 2918003760], 'label': '768.1084399.24.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bt1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590492
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bt2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.m1', '12.q1'], 'contains': ['48.bi2', '48.bi4', '48.bi7', '48.bj2', '48.bu1', '48.bu2', '48.bv1', '48.bv3', '48.bw2', '48.dk3', '48.dk4', '48.dk5', '48.dl2'], 'core': '192.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6421, -1, 3296, -1], 'generators': [19239897600, 19239897889, 288, 15335757414, 2918003760], 'label': '768.1084399.24.bt2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bt2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bt2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590493
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '6.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': ['128.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '3.a1'], 'contains': ['12.b1', '12.c1', '12.f1', '12.g1', '12.h1', '12.m1', '12.n1', '12.q1', '12.r1', '12.ba1', '12.bb1'], 'core': '6.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [6392, 5153, 3690, 6132], 'generators': [288, 1959919920, 15335757414, 20717187120, 20717187409, 2918003760, 27909186480], 'label': '768.1084399.6.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.a1', 'normal_contained_in': ['2.a1', '3.a1'], 'normal_contains': ['12.b1', '12.c1', '24.b1'], 'normalizer': '1.a1', 'old_label': '6.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590494
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bt3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.m1', '12.q1'], 'contains': ['48.bi1', '48.bi5', '48.bj3', '48.bu1', '48.bu2', '48.bv2', '48.bv3', '48.bw1', '48.dk6', '48.dk7', '48.dl3'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6388, -1, 3164, -1], 'generators': [1959919920, 288, 15335757414, 289, 2918003760], 'label': '768.1084399.24.bt3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bt3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bt3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590495
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.m1', '12.ba1'], 'contains': ['48.by1', '48.by2', '48.cf1', '48.cf2', '48.cg2', '48.ci1', '48.ci3', '48.ci4', '48.cj1', '48.dk1', '48.dk3', '48.dk6', '48.dl2', '48.dm2', '48.dm4', '48.dm7', '48.dn2'], 'core': '192.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [6581, -1, 3230, -1], 'generators': [19239897600, 19239897654, 288, 20717187409, 2918003760], 'label': '768.1084399.24.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590496
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bu2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.m1', '12.ba1'], 'contains': ['48.by1', '48.by2', '48.cf1', '48.cf3', '48.cg2', '48.ci2', '48.ci3', '48.cj2', '48.dk4', '48.dk7', '48.dl1', '48.dm3', '48.dm5', '48.dn1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [5699, -1, 3033, -1], 'generators': [14856750774, 14856751009, 19239897600, 288, 2918003760], 'label': '768.1084399.24.bu2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bu2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bu2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590497
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bu3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.m1', '12.ba1'], 'contains': ['48.by1', '48.by2', '48.cf2', '48.cf3', '48.cg1', '48.ci2', '48.ci4', '48.cj3', '48.dk2', '48.dk5', '48.dl3', '48.dm1', '48.dm6', '48.dn3'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [5779, -1, 3000, -1], 'generators': [19239897654, 1959919920, 288, 20717187409, 2918003760], 'label': '768.1084399.24.bu3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bu3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bu3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590498
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.n1', '12.z1', '12.ba1'], 'contains': ['48.by2', '48.ca1', '48.cb1', '48.cc1', '48.ch2', '48.cl1', '48.cm1', '48.cs1', '48.cx1', '48.do1', '48.dp1', '48.dq2'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7556, -1, 5936, -1], 'generators': [15335757360, 288, 15335757414, 20717187409, 2918003760], 'label': '768.1084399.24.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590499
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bv2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.n1', '12.ba1'], 'contains': ['48.by1', '48.by2', '48.ca1', '48.cb2', '48.cc2', '48.ch1', '48.ch2', '48.cl2', '48.cm2', '48.cs2', '48.cx2', '48.do2', '48.dp2', '48.dq1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [7064, -1, 5167, -1], 'generators': [288, 15335757414, 27430179840, 20717187409, 2918003760], 'label': '768.1084399.24.bv2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.bv2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bv2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590500
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.a1', '12.z1'], 'contains': ['48.bz1', '48.ca1', '48.cd1', '48.ck1', '48.cn1', '48.co1', '48.dd1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9889, -1, 8839, -1], 'generators': [288, 15335757414, 27430179840, 20717187409, 6438625326], 'label': '768.1084399.24.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590501
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.o1', '12.z1'], 'contains': ['48.ca1', '48.ce1', '48.cp1', '48.cq1', '48.de1'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9631, -1, 8150, -1], 'generators': [7875625086, 288, 27430179840, 27430179894, 20717187409], 'label': '768.1084399.24.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590502
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.m1', '12.ba1', '12.bb1'], 'contains': ['48.cb2', '48.cc1', '48.cc2', '48.cf1', '48.cf2', '48.cf3', '48.cr1', '48.ct2', '48.cy1', '48.cy2', '48.dk1', '48.dk4', '48.dk5', '48.dk6', '48.dt2', '48.dw1', '48.ea1', '48.ea3'], 'core': '192.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [6446, -1, 3493, -1], 'generators': [14856751009, 288, 27430179840, 27430179894, 2918003760], 'label': '768.1084399.24.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.by1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590503
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.by2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.m1', '12.ba1', '12.bb1'], 'contains': ['48.cb1', '48.cc2', '48.cf1', '48.cf2', '48.cf3', '48.cr2', '48.ct1', '48.cy2', '48.dk2', '48.dk3', '48.dk7', '48.dt1', '48.dw2', '48.ea2', '48.ea4'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [5682, -1, 3263, -1], 'generators': [14856751009, 15335757360, 288, 15335757414, 2918003760], 'label': '768.1084399.24.by2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.by2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.by2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590504
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '6.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': ['128.c1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '3.a1'], 'contains': ['12.b1', '12.d1', '12.j1', '12.k1', '12.s1', '12.u1', '12.bg1'], 'core': '6.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [8961, 7450, 9009, 3879], 'generators': [288, 1959919920, 20717187120, 20717187409, 2918003760, 6438625326, 27909186480], 'label': '768.1084399.6.b1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.b1', 'normal_contained_in': ['2.b1', '3.a1'], 'normal_contains': ['12.b1', '12.d1', '24.c1'], 'normalizer': '1.a1', 'old_label': '6.b1', 'projective_image': None, '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': None}
  • id: 59590505
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.l1', '12.z1', '12.bc1'], 'contains': ['48.cb1', '48.cd1', '48.ce1', '48.cu1', '48.cv1', '48.db1', '48.dc1'], 'core': '192.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [9798, -1, 8223, -1], 'generators': [15335757360, 288, 15335757414, 32736493855, 2918003760], 'label': '768.1084399.24.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.bz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590506
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.c1', '12.m1', '12.ba1'], 'contains': ['48.cb1', '48.cb2', '48.cg1', '48.cg2', '48.ct1', '48.ct2', '48.cw1', '48.dl1', '48.dl2', '48.dl3', '48.du1', '48.du2', '48.dv1', '48.eb1', '48.eb2', '48.eb3'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [4741, -1, 686, -1], 'generators': [19239897654, 288, 1959919920, 20717187120, 2918003760], 'label': '768.1084399.24.ca1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ca1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590507
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.l1', '12.z1', '12.be1'], 'contains': ['48.cc1', '48.cd1', '48.ce1', '48.cz1', '48.da1', '48.db1', '48.dc1'], 'core': '192.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [9857, -1, 8426, -1], 'generators': [14377673809, 288, 27430179840, 27430179894, 6438625326], 'label': '768.1084399.24.cb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590508
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.c1', '12.n1', '12.bb1', '12.bc1', '12.bd1'], 'contains': ['48.b1', '48.cb1', '48.cb2', '48.cs1', '48.cs2', '48.df1', '48.dh1', '48.dr1', '48.dr2', '48.dx1', '48.dz1'], 'core': '48.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [7074, -1, 5838, -1], 'generators': [288, 15335757414, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.24.cc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590509
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.n1', '12.bb1', '12.be1', '12.bf1'], 'contains': ['48.b1', '48.cc1', '48.cc2', '48.cx1', '48.cx2', '48.dg1', '48.dh1', '48.ds1', '48.ds2', '48.dy1'], 'core': '48.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [7318, -1, 6002, -1], 'generators': [27430179840, 288, 21196264609, 15335757414, 20717187120], 'label': '768.1084399.24.cd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590510
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.o1', '12.bc1', '12.bd1', '12.be1', '12.bf1'], 'contains': ['48.b1', '48.ce1', '48.de1', '48.di1', '48.dj1'], 'core': '48.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9522, -1, 7785, -1], 'generators': [27430179840, 288, 15335757414, 20717187120, 38973675295], 'label': '768.1084399.24.ce1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ce1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590511
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.q1', '12.ba1'], 'contains': ['48.ch1', '48.ch2', '48.ci1', '48.ci4', '48.cj2', '48.dk2', '48.dk4', '48.dk6', '48.dl2', '48.ec2', '48.ec6', '48.ed1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6707, -1, 3394, -1], 'generators': [14856751009, 19239897600, 288, 15335757414, 2918003760], 'label': '768.1084399.24.cf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590512
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cf2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.q1', '12.ba1'], 'contains': ['48.ch1', '48.ch2', '48.ci2', '48.ci3', '48.ci4', '48.cj1', '48.dk1', '48.dk3', '48.dk5', '48.dk6', '48.dk7', '48.dl1', '48.dl2', '48.ec3', '48.ec4', '48.ec5', '48.ed3'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [6602, -1, 3329, -1], 'generators': [19239897600, 288, 15335757414, 20717187409, 2918003760], 'label': '768.1084399.24.cf2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.cf2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cf2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590513
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cf3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.q1', '12.ba1'], 'contains': ['48.ch1', '48.ch2', '48.ci1', '48.ci3', '48.cj3', '48.dk1', '48.dk3', '48.dk4', '48.dl3', '48.ec1', '48.ec7', '48.ed2'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6819, -1, 3427, -1], 'generators': [1959919920, 288, 15335757414, 20717187409, 2918003760], 'label': '768.1084399.24.cf3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.cf3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cf3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590514
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.r1', '12.ba1'], 'contains': ['48.ci3', '48.ci4', '48.cl1', '48.cm2', '48.ct1', '48.cy1', '48.ee1', '48.ei1', '48.ek2'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [6527, -1, 3592, -1], 'generators': [19239897654, 15335757360, 288, 20717187409, 2918003760], 'label': '768.1084399.24.cg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590515
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '6.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': ['128.c1', '128.d1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '3.a1'], 'contains': ['12.b1', '12.e1', '12.t1', '12.v1', '12.bh1'], 'core': '6.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [8982, 3972, 6737, 7705], 'generators': [288, 1959919920, 20717187120, 44602755270, 20717187409, 2918003760, 27909186480], 'label': '768.1084399.6.c1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.c1', 'normal_contained_in': ['2.c1', '3.a1'], 'normal_contains': ['12.b1', '12.e1', '24.d1'], 'normalizer': '1.a1', 'old_label': '6.c1', 'projective_image': None, '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': None}
  • id: 59590516
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.r1', '12.ba1'], 'contains': ['48.ci1', '48.ci2', '48.ci3', '48.ci4', '48.cl2', '48.cm1', '48.cm2', '48.ct2', '48.cy2', '48.ee2', '48.ei2', '48.ek1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6592, -1, 3723, -1], 'generators': [19239897654, 288, 27430179840, 20717187409, 2918003760], 'label': '768.1084399.24.cg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.cg2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cg2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590517
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.s1', '12.z1'], 'contains': ['48.cl1', '48.cn1', '48.cp1', '48.cu1', '48.cz1', '48.ef1', '48.ej1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9653, -1, 9409, -1], 'generators': [15335757360, 288, 20717187409, 2918003760, 6438625326], 'label': '768.1084399.24.ch1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ch1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590518
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.t1', '12.z1'], 'contains': ['48.cl1', '48.co1', '48.cq1', '48.cv1', '48.da1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9696, -1, 7710, -1], 'generators': [15335757360, 288, 44602755270, 20717187409, 2918003760], 'label': '768.1084399.24.ci1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.ci1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ci1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590519
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.b1', '12.ba1'], 'contains': ['48.cj1', '48.cj2', '48.cj3', '48.cl1', '48.cl2', '48.cr1', '48.cr2', '48.cw1', '48.eg1', '48.eg2', '48.eh1', '48.el1', '48.el2', '48.el3'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7748, -1, 4568, -1], 'generators': [14856751009, 288, 1959919920, 20717187120, 2918003760], 'label': '768.1084399.24.cj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590520
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.w1', '12.z1'], 'contains': ['48.cm1', '48.cn1', '48.cq1', '48.db1', '48.em1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9440, -1, 7565, -1], 'generators': [288, 27430179840, 20717187409, 6438625326, 21675271014], 'label': '768.1084399.24.ck1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ck1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590521
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.x1', '12.z1'], 'contains': ['48.cm1', '48.co1', '48.cp1', '48.dc1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9749, -1, 8643, -1], 'generators': [7875625086, 2438997174, 288, 27430179840, 20717187409], 'label': '768.1084399.24.cl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.cl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590522
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.q1', '12.ba1', '12.bb1'], 'contains': ['48.cr2', '48.cs1', '48.ct1', '48.cx2', '48.cy2', '48.dk1', '48.dk4', '48.dk5', '48.dk6', '48.ex1', '48.fa2', '48.fn1', '48.fn4'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6834, -1, 3559, -1], 'generators': [14856751009, 15335757360, 288, 20717187174, 2918003760], 'label': '768.1084399.24.cm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.cm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590523
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cm2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.q1', '12.ba1', '12.bb1'], 'contains': ['48.cr1', '48.cs2', '48.ct2', '48.cx1', '48.cx2', '48.cy1', '48.cy2', '48.dk1', '48.dk2', '48.dk3', '48.dk4', '48.dk5', '48.dk6', '48.dk7', '48.ex2', '48.fa1', '48.fn2', '48.fn3'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [6777, -1, 3657, -1], 'generators': [14856751009, 288, 15335757414, 27430179840, 2918003760], 'label': '768.1084399.24.cm2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.cm2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cm2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590524
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.p1', '12.z1', '12.bc1'], 'contains': ['48.cs1', '48.cu1', '48.cv1', '48.db1', '48.dc1', '48.dd1', '48.de1'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [9772, -1, 8356, -1], 'generators': [15335757360, 288, 32736493855, 20717187174, 2918003760], 'label': '768.1084399.24.cn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.cn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590525
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.c1', '12.q1', '12.ba1'], 'contains': ['48.cs1', '48.cs2', '48.ct1', '48.ct2', '48.cw1', '48.dl1', '48.dl2', '48.dl3', '48.ey1', '48.ey2', '48.ez1', '48.fo1', '48.fo2', '48.fo3'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [4770, -1, 1210, -1], 'generators': [288, 1959919920, 15335757414, 20717187120, 2918003760], 'label': '768.1084399.24.co1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.co1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.co1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590560
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '6.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['12.i1', '12.r1', '12.s1', '12.v1', '12.w1', '12.y1', '12.bi1', '12.bk1'], 'core': '24.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [9067, -1, 7074, -1], 'generators': [14856750774, 288, 27430179840, 20717187120, 20717187409, 2918003760, 6438625326], 'label': '768.1084399.6.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.g1', 'projective_image': None, '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': None}
  • id: 59590526
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '6.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': ['128.a1', '128.c1', '128.d1'], 'conjugacy_class_count': 4, 'contained_in': ['2.d1', '3.a1'], 'contains': ['12.c1', '12.d1', '12.e1', '12.bc1', '12.bd1', '12.bi1', '12.bj1'], 'core': '6.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [9019, 6333, 7152, 8796], 'generators': [288, 15335757414, 2918003760, 32736493855, 20717187120, 1959919920, 27909186480], 'label': '768.1084399.6.d1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '6.d1', 'normal_contained_in': ['2.d1', '3.a1'], 'normal_contains': ['12.c1', '12.d1', '12.e1', '24.e1'], 'normalizer': '1.a1', 'old_label': '6.d1', 'projective_image': None, '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': None}
  • id: 59590527
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.p1', '12.z1', '12.be1'], 'contains': ['48.cx1', '48.cz1', '48.da1', '48.db1', '48.dc1', '48.dd1', '48.de1'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [9828, -1, 8495, -1], 'generators': [14377673809, 2438997174, 288, 27430179840, 6438625326], 'label': '768.1084399.24.cp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '24.cp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590528
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['12.b1', '12.bb1', '12.bg1', '12.bh1'], 'contains': ['48.cr1', '48.cr2', '48.df1', '48.dg1', '48.en1', '48.en2', '48.fb1', '48.fj1'], 'core': '96.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [8297, -1, 5903, -1], 'generators': [19239897889, 288, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.24.cq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590529
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.c1', '12.r1', '12.bb1', '12.bi1', '12.bj1'], 'contains': ['48.ct1', '48.ct2', '48.df1', '48.dh1', '48.eo1', '48.eo2', '48.fc1', '48.fk1'], 'core': '96.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [4866, -1, 3690, -1], 'generators': [14856750774, 288, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.24.cr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cr1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590530
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.d1', '12.s1', '12.bc1', '12.bg1', '12.bi1'], 'contains': ['48.c1', '48.cu1', '48.df1', '48.di1', '48.ep1', '48.fe1', '48.fl1'], 'core': '48.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [9499, -1, 9219, -1], 'generators': [288, 32736493855, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.24.cs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590531
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.e1', '12.t1', '12.bc1', '12.bh1', '12.bj1'], 'contains': ['48.d1', '48.cv1', '48.df1', '48.dj1'], 'core': '48.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [9545, -1, 7294, -1], 'generators': [288, 27430179840, 20717187120, 44602755270, 2918003760], 'label': '768.1084399.24.ct1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.ct1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ct1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590532
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.d1', '12.u1', '12.bd1', '12.bg1', '12.bj1'], 'contains': ['48.df1', '48.di1', '48.ff1', '48.fm1'], 'core': '96.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [9029, -1, 9075, -1], 'generators': [7396583455, 288, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.24.cu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590533
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.e1', '12.v1', '12.bd1', '12.bh1', '12.bi1'], 'contains': ['48.df1', '48.dj1', '48.eq1'], 'core': '96.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [9005, -1, 6726, -1], 'generators': [38494759110, 288, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.24.cv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590534
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.r1', '12.bb1', '12.bk1', '12.bl1'], 'contains': ['48.cy1', '48.cy2', '48.dg1', '48.dh1', '48.es1', '48.es2', '48.fg1'], 'core': '96.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [6469, -1, 5101, -1], 'generators': [14856750774, 288, 21196264609, 27430179840, 20717187120], 'label': '768.1084399.24.cw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590535
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.s1', '12.be1', '12.bg1', '12.bk1'], 'contains': ['48.c1', '48.cz1', '48.dg1', '48.di1', '48.et1', '48.fh1'], 'core': '48.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [9589, -1, 9283, -1], 'generators': [288, 21196264609, 27430179840, 20717187120, 6438625326], 'label': '768.1084399.24.cx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590536
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.t1', '12.be1', '12.bh1', '12.bl1'], 'contains': ['48.d1', '48.da1', '48.dg1', '48.dj1'], 'core': '48.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [9725, -1, 7433, -1], 'generators': [288, 21196264609, 27430179840, 20717187120, 44602755270], 'label': '768.1084399.24.cy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cy1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590537
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '6.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['12.a1', '12.l1', '12.n1', '12.o1', '12.p1', '12.s1', '12.t1', '12.w1', '12.x1', '12.z1', '12.bc1', '12.be1'], 'core': '12.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [9404, -1, 7929, -1], 'generators': [288, 15335757414, 27430179840, 20717187120, 20717187409, 2918003760, 6438625326], 'label': '768.1084399.6.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.e1', 'projective_image': None, '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': None}
  • id: 59590538
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.u1', '12.bf1', '12.bg1', '12.bl1'], 'contains': ['48.dg1', '48.di1', '48.fi1'], 'core': '96.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [9077, -1, 9150, -1], 'generators': [19239897889, 43604794926, 288, 27430179840, 20717187120], 'label': '768.1084399.24.cz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.cz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.cz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590539
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.v1', '12.bf1', '12.bh1', '12.bk1'], 'contains': ['48.dg1', '48.dj1', '48.eu1'], 'core': '96.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [9053, -1, 6802, -1], 'generators': [38494759110, 288, 21196264609, 27430179840, 20717187120], 'label': '768.1084399.24.da1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.da1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.da1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590540
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.w1', '12.bc1', '12.be1', '12.bi1', '12.bk1'], 'contains': ['48.c1', '48.db1', '48.dh1', '48.dj1', '48.ev1'], 'core': '48.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [9570, -1, 7363, -1], 'generators': [288, 32736493855, 27430179840, 20717187120, 12936672054], 'label': '768.1084399.24.db1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.db1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.db1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590541
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.x1', '12.bc1', '12.be1', '12.bj1', '12.bl1'], 'contains': ['48.d1', '48.dc1', '48.dh1', '48.di1'], 'core': '48.d1', 'coset_action_label': None, 'count': 12, 'diagramx': [9916, -1, 8075, -1], 'generators': [288, 38973675295, 27430179840, 20717187120, 12936672054], 'label': '768.1084399.24.dc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.dc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590542
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.y1', '12.bd1', '12.bf1', '12.bi1', '12.bj1', '12.bk1', '12.bl1'], 'contains': ['48.dh1', '48.di1', '48.dj1', '48.ew1'], 'core': '96.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [9208, -1, 7155, -1], 'generators': [14856750774, 288, 38973675295, 27430179840, 20717187120], 'label': '768.1084399.24.dd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '24.dd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590543
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['12.f1', '12.g1', '12.ba1'], 'contains': ['48.dm4', '48.dm5', '48.dm6', '48.dm7', '48.do1', '48.dp2', '48.dt1', '48.du1', '48.dw1', '48.ec4', '48.ec5', '48.ec6', '48.ec7', '48.ee1', '48.eg1', '48.ei2', '48.ex1', '48.ey1', '48.fa1'], 'core': '768.a1', 'coset_action_label': '24T2462', 'count': 96, 'diagramx': [3144, -1, 2163, -1], 'generators': [15335757360, 27909186768, 15335757414, 20717187409, 2918003760], 'label': '768.1084399.24.de1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.de1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.de1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590561
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.dp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.j1', '12.k1', '12.bg1'], 'contains': ['48.fb1', '48.fe1', '48.ff1', '48.fh1', '48.fi1'], 'core': '192.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [8929, -1, 9546, -1], 'generators': [14856751009, 27430179840, 20717187120, 2918003760, 6438625326], 'label': '768.1084399.24.dp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.dp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590544
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.de2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['12.f1', '12.g1', '12.ba1'], 'contains': ['48.dm1', '48.dm2', '48.dm3', '48.dm4', '48.dm5', '48.dm6', '48.dm7', '48.do2', '48.dp1', '48.dp2', '48.dt2', '48.du2', '48.dw1', '48.dw2', '48.ec1', '48.ec2', '48.ec3', '48.ec4', '48.ec5', '48.ec6', '48.ec7', '48.ee2', '48.eg2', '48.ei1', '48.ei2', '48.ex2', '48.ey2', '48.fa1', '48.fa2'], 'core': '768.a1', 'coset_action_label': '24T2457', 'count': 192, 'diagramx': [3245, -1, 2196, -1], 'generators': [27909186768, 15335757414, 27430179840, 20717187409, 2918003760], 'label': '768.1084399.24.de2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.de2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.de2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590545
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['12.f1', '12.h1', '12.ba1'], 'contains': ['48.dn1', '48.dn2', '48.dn3', '48.do1', '48.do2', '48.dt1', '48.dt2', '48.dv1', '48.ed1', '48.ed2', '48.ed3', '48.ee1', '48.ee2', '48.eh1', '48.ex1', '48.ex2', '48.ez1'], 'core': '768.a1', 'coset_action_label': '24T2453', 'count': 96, 'diagramx': [1925, -1, 2064, -1], 'generators': [14856751009, 1959919920, 15335757414, 20717187120, 2918003760], 'label': '768.1084399.24.df1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.df1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.df1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590546
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['12.f1', '12.ba1'], 'contains': ['48.dm2', '48.dm4', '48.dm5', '48.dn3', '48.dq1', '48.dq2', '48.ea1', '48.ea4', '48.eb3', '48.ec3', '48.ec4', '48.ec6', '48.ed2', '48.ek1', '48.ek2', '48.el1', '48.fn2', '48.fn4', '48.fo2'], 'core': '768.a1', 'coset_action_label': '24T2451', 'count': 96, 'diagramx': [2935, -1, 1736, -1], 'generators': [14856751009, 1959919920, 15335757414, 2918003760, 20717187408], 'label': '768.1084399.24.dg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590547
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.dg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['12.f1', '12.ba1'], 'contains': ['48.dm1', '48.dm2', '48.dm5', '48.dm6', '48.dm7', '48.dn1', '48.dn2', '48.dq1', '48.dq2', '48.ea1', '48.ea2', '48.ea3', '48.eb2', '48.ec1', '48.ec3', '48.ec5', '48.ec6', '48.ec7', '48.ed1', '48.ed3', '48.ek1', '48.ek2', '48.el2', '48.fn1', '48.fn2', '48.fn3', '48.fo3'], 'core': '768.a1', 'coset_action_label': '24T2447', 'count': 192, 'diagramx': [2471, -1, 1670, -1], 'generators': [14856751009, 19239897600, 15335757414, 2918003760, 20717187408], 'label': '768.1084399.24.dg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dg2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dg2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590548
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '6.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['12.n1', '12.o1', '12.u1', '12.v1', '12.y1', '12.bd1', '12.bf1'], 'core': '24.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8999, -1, 7214, -1], 'generators': [31295905326, 288, 15335757414, 27430179840, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.6.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.f1', 'projective_image': None, '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': None}
  • id: 59590549
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.dg3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['12.f1', '12.ba1'], 'contains': ['48.dm3', '48.dm4', '48.dm6', '48.dn2', '48.dq1', '48.dq2', '48.ea3', '48.ea4', '48.eb1', '48.ec2', '48.ec4', '48.ec7', '48.ed3', '48.ek1', '48.ek2', '48.el3', '48.fn3', '48.fn4', '48.fo1'], 'core': '768.a1', 'coset_action_label': '24T2448', 'count': 96, 'diagramx': [2842, -1, 1703, -1], 'generators': [14856751009, 21196264320, 1959919920, 15335757414, 20717187408], 'label': '768.1084399.24.dg3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dg3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dg3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590550
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.f1', '12.bb1'], 'contains': ['48.dr1', '48.ds2', '48.dt1', '48.dw2', '48.ea1', '48.ea3', '48.en1', '48.eo1', '48.es2', '48.ex1', '48.fa2', '48.fn2', '48.fn3'], 'core': '768.a1', 'coset_action_label': '24T2461', 'count': 48, 'diagramx': [3603, -1, 3131, -1], 'generators': [14856751009, 15335757360, 15335757414, 2918003760, 20717187408], 'label': '768.1084399.24.dh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590551
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.dh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['12.f1', '12.bb1'], 'contains': ['48.dr2', '48.ds1', '48.ds2', '48.dt2', '48.dw1', '48.ea1', '48.ea2', '48.ea3', '48.ea4', '48.en2', '48.eo2', '48.es1', '48.es2', '48.ex2', '48.fa1', '48.fn1', '48.fn2', '48.fn3', '48.fn4'], 'core': '768.a1', 'coset_action_label': '24T2458', 'count': 96, 'diagramx': [3477, -1, 3066, -1], 'generators': [14856751009, 15335757414, 27430179840, 2918003760, 20717187408], 'label': '768.1084399.24.dh2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dh2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dh2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590552
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.c1', '12.f1'], 'contains': ['48.dr1', '48.dr2', '48.du1', '48.du2', '48.dv1', '48.eb1', '48.eb2', '48.eb3', '48.eo1', '48.eo2', '48.er1', '48.ey1', '48.ey2', '48.ez1', '48.fo1', '48.fo2', '48.fo3'], 'core': '768.a1', 'coset_action_label': '24T2454', 'count': 48, 'diagramx': [3344, -1, 654, -1], 'generators': [27909186768, 1959919920, 15335757414, 20717187120, 2918003760], 'label': '768.1084399.24.di1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.di1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.di1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590553
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.g1', '12.h1', '12.bb1'], 'contains': ['48.dt1', '48.dt2', '48.dx1', '48.dy1', '48.ex1', '48.ex2', '48.fb1', '48.fc1', '48.fg1'], 'core': '192.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [4166, -1, 3756, -1], 'generators': [14856751009, 15335757414, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.24.dj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590554
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.c1', '12.g1'], 'contains': ['48.du1', '48.du2', '48.dx1', '48.dz1', '48.ey1', '48.ey2', '48.fc1', '48.fd1', '48.fk1'], 'core': '192.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [4196, -1, 3460, -1], 'generators': [27909186768, 15335757414, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.24.dk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590555
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '12.c1', '12.h1'], 'contains': ['48.e1', '48.dv1', '48.dx1', '48.ez1', '48.fc1'], 'core': '48.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [4151, -1, 4699, -1], 'generators': [1959919920, 15335757414, 20717187120, 2918003760, 27909186480], 'label': '768.1084399.24.dl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '24.dl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590556
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.g1', '12.bb1'], 'contains': ['48.dw1', '48.dw2', '48.dy1', '48.dz1', '48.fa1', '48.fa2', '48.fg1', '48.fj1', '48.fk1'], 'core': '192.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [4226, -1, 3822, -1], 'generators': [19239897889, 2918004048, 15335757414, 27430179840, 20717187120], 'label': '768.1084399.24.dm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.dm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590557
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.dn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['12.i1', '12.bi1'], 'contains': ['48.eo1', '48.ep1', '48.eq1', '48.ev1', '48.ew1'], 'core': '768.a1', 'coset_action_label': '24T2505', 'count': 96, 'diagramx': [9122, -1, 6874, -1], 'generators': [19239897654, 15335757360, 32736493855, 2918003760, 20717187408], 'label': '768.1084399.24.dn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '24.dn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590558
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.do1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['12.i1', '12.bk1'], 'contains': ['48.es1', '48.et1', '48.eu1', '48.ev1', '48.ew1'], 'core': '768.a1', 'coset_action_label': '24T2504', 'count': 96, 'diagramx': [9145, -1, 6944, -1], 'generators': [21675271249, 14856750984, 27430179840, 6438625326, 20717187408], 'label': '768.1084399.24.do1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '24.do1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.do1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590559
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': ['384.l1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.e1', '6.a1', '8.c1', '8.d1'], 'core': '2.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5329, 3140, 5340, 4099], 'generators': [79914240, 288, 1959919920, 15335757414, 20717187120, 20717187409, 2918003760, 27909186480], 'label': '768.1084399.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '6.a1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590562
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.dq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.d1', '12.j1'], 'contains': ['48.fd1', '48.fe1', '48.ff1', '48.fl1', '48.fm1'], 'core': '192.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [8952, -1, 9476, -1], 'generators': [27909186768, 32736493855, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.24.dq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.dq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590563
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.dr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '12.d1', '12.k1'], 'contains': ['48.e1', '48.fe1', '48.ff1'], 'core': '48.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [8835, -1, 9002, -1], 'generators': [1959919920, 32736493855, 20717187120, 2918003760, 27909186480], 'label': '768.1084399.24.dr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '24.dr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.dr1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590564
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.ds1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.j1', '12.bg1'], 'contains': ['48.fh1', '48.fi1', '48.fj1', '48.fl1', '48.fm1'], 'core': '192.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [9100, -1, 9766, -1], 'generators': [19239897889, 2918004048, 27430179840, 20717187120, 6438625326], 'label': '768.1084399.24.ds1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '24.ds1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.ds1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590565
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.bm1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '16.b1', '16.d1', '16.f1'], 'contains': ['64.g1', '96.a1', '128.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [5037, -1, 7017, -1], 'generators': [79914240, 27430179840, 20717187120, 20717187409], 'label': '768.1084399.32.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '32.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590566
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.a1', '16.c1', '16.g1'], 'contains': ['64.h1', '96.w1', '128.a1'], 'core': '384.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [35, -1, 78, -1], 'generators': [79914240, 1959919920, 289, 2918003760], 'label': '768.1084399.32.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1', 'old_label': '32.b1', 'projective_image': None, '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': None}
  • id: 59590567
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '8.d1', '16.e1'], 'contains': ['64.a1', '64.c1', '64.d1', '96.b1'], 'core': '96.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [5080, -1, 6414, -1], 'generators': [54, 79914240, 288, 289], 'label': '768.1084399.32.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.e1', 'old_label': '32.c1', 'projective_image': None, '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': None}
  • id: 59590568
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.e1', '16.e1'], 'contains': ['64.b1', '64.c1', '64.e1', '96.bd1'], 'core': '192.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [6360, -1, 7248, -1], 'generators': [79914240, 288, 289, 6438625326], 'label': '768.1084399.32.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.e1', 'old_label': '32.d1', 'projective_image': None, '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': None}
  • id: 59590569
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.f1', '16.e1'], 'contains': ['64.c1', '64.f1', '96.be1'], 'core': '192.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [8015, -1, 7383, -1], 'generators': [27789718320, 288, 44602755270, 289], 'label': '768.1084399.32.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.e1', 'old_label': '32.e1', 'projective_image': None, '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': None}
  • id: 59590570
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['8.g1', '16.e1'], 'contains': ['64.d1', '64.e1', '64.f1', '96.bj1'], 'core': '192.b1', 'coset_action_label': None, 'count': 64, 'diagramx': [7488, -1, 7323, -1], 'generators': [54, 25390794240, 288, 32736493855], 'label': '768.1084399.32.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.e1', 'old_label': '32.f1', 'projective_image': None, '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': None}
  • id: 59590571
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '6.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['3.a1'], 'contains': ['12.r1', '12.t1', '12.u1', '12.x1', '12.y1', '12.bj1', '12.bl1'], 'core': '24.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [9123, -1, 7417, -1], 'generators': [14856750774, 31295905326, 288, 27430179840, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.6.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.h1', 'projective_image': None, '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': None}
  • id: 59590572
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '32.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.bm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '16.f1', '16.h1', '16.j1', '16.k1'], 'contains': ['64.g1', '96.c1', '128.b1'], 'core': '96.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [5284, -1, 7120, -1], 'generators': [79914240, 288, 27430179840, 20717187120], 'label': '768.1084399.32.g1', 'mobius_quo': None, 'mobius_sub': 8, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '32.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590573
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '32.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.b1', '16.g1', '16.i1'], 'contains': ['64.h1', '96.cb1', '128.b1'], 'core': '384.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [4958, -1, 132, -1], 'generators': [79914240, 1959919920, 288, 2918003760], 'label': '768.1084399.32.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1', 'old_label': '32.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590574
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '32.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '16.b1', '16.h1'], 'contains': ['64.g1', '96.cn1', '128.c1'], 'core': '192.c1', 'coset_action_label': None, 'count': 16, 'diagramx': [5005, -1, 6472, -1], 'generators': [79914240, 15335757414, 27430179840, 20717187120], 'label': '768.1084399.32.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.c1', 'old_label': '32.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590575
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '32.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['8.h1', '16.c1', '16.i1'], 'contains': ['64.h1', '96.cs1', '128.c1'], 'core': '768.a1', 'coset_action_label': '32T34747', 'count': 64, 'diagramx': [7, -1, 23, -1], 'generators': [79914240, 1959919920, 1959919974, 2918003760], 'label': '768.1084399.32.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1', 'old_label': '32.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590576
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '32.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.bd1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '16.d1', '16.j1'], 'contains': ['64.g1', '96.eg1', '128.d1'], 'core': '192.c1', 'coset_action_label': None, 'count': 16, 'diagramx': [6073, -1, 7174, -1], 'generators': [79914240, 32736493855, 27430179840, 20717187120], 'label': '768.1084399.32.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.e1', 'old_label': '32.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590577
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.f1', '24.b1', '24.c1', '24.d1', '24.bp1', '24.bq1', '24.br1', '24.bs1'], 'contains': ['96.a1', '96.c1', '96.s1', '96.z1', '96.bp1'], 'core': '48.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9100, 7130, 7076, 7223], 'generators': [288, 27430179840, 20717187120, 20717187409], 'label': '768.1084399.48.a1', 'mobius_quo': -2, 'mobius_sub': 8, 'normal_closure': '48.a1', 'normal_contained_in': ['12.b1', '24.b1', '24.c1', '24.d1'], 'normal_contains': ['96.a1', '96.c1', '192.a1'], 'normalizer': '1.a1', 'old_label': '48.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590578
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['16.h1', '24.b1', '24.e1', '24.cc1', '24.cd1', '24.ce1'], 'contains': ['96.c1', '96.bg1', '96.bt1', '96.cj1', '96.cn1'], 'core': '48.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [8673, 8297, 6941, 7804], 'generators': [288, 15335757414, 27430179840, 20717187120], 'label': '768.1084399.48.b1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '48.b1', 'normal_contained_in': ['12.c1', '24.b1', '24.e1'], 'normal_contains': ['96.c1', '192.b1'], 'normalizer': '1.a1', 'old_label': '48.b1', 'projective_image': None, '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': None}
  • id: 59590579
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': ['16.c1'], 'conjugacy_class_count': 2, 'contained_in': ['16.j1', '24.c1', '24.e1', '24.cs1', '24.cx1', '24.db1'], 'contains': ['96.c1', '96.bu1', '96.dm1', '96.eg1'], 'core': '48.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [9830, 7713, 8833, 9504], 'generators': [288, 32736493855, 27430179840, 20717187120], 'label': '768.1084399.48.c1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '48.c1', 'normal_contained_in': ['12.d1', '24.c1', '24.e1'], 'normal_contains': ['96.c1'], 'normalizer': '1.a1', 'old_label': '48.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590580
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.d1', 'complements': ['16.c1'], 'conjugacy_class_count': 2, 'contained_in': ['16.k1', '24.d1', '24.e1', '24.ct1', '24.cy1', '24.dc1'], 'contains': ['96.c1', '96.bv1'], 'core': '48.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [9954, 9150, 8015, 8654], 'generators': [288, 27430179840, 20717187120, 44602755270], 'label': '768.1084399.48.d1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '48.d1', 'normal_contained_in': ['12.e1', '24.d1', '24.e1'], 'normal_contains': ['96.c1'], 'normalizer': '1.a1', 'old_label': '48.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590581
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': ['16.e1'], 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '24.a1', '24.f1', '24.dl1', '24.dr1'], 'contains': ['96.du1', '96.ec1'], 'core': '48.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [5209, 2450, 6054, 3702], 'generators': [1959919920, 20717187120, 2918003760, 27909186480], 'label': '768.1084399.48.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': ['16.a1', '24.a1', '24.f1'], 'normal_contains': ['192.c1'], 'normalizer': '1.a1', 'old_label': '48.e1', 'projective_image': None, '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': None}
  • id: 59590582
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '6.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['3.a1'], 'contains': ['12.bb1', '12.bc1', '12.bd1', '12.be1', '12.bf1', '12.bg1', '12.bh1', '12.bi1', '12.bj1', '12.bk1', '12.bl1'], 'core': '24.e1', 'coset_action_label': None, 'count': 12, 'diagramx': [9157, -1, 7276, -1], 'generators': [19239897889, 288, 15335757414, 27430179840, 20717187120, 2918003760, 6438625326], 'label': '768.1084399.6.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '6.i1', 'projective_image': None, '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': None}
  • id: 59590583
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.g1', '24.h1', '24.j1', '24.k1', '24.bc1'], 'contains': ['96.d1', '96.f1', '96.h1', '96.j1', '96.t1', '96.cf1', '96.ck1', '96.cl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4729, -1, 4707, -1], 'generators': [15335757360, 15335757414, 15335757649, 2918003760], 'label': '768.1084399.48.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.f1', 'projective_image': None, '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': None}
  • id: 59590584
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.f2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.g2', '24.h1', '24.j2', '24.k1', '24.bc2'], 'contains': ['96.d1', '96.f1', '96.h2', '96.j2', '96.t2', '96.cf2', '96.ck2', '96.cl2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4558, -1, 4396, -1], 'generators': [27430179840, 27430179894, 289, 2918003760], 'label': '768.1084399.48.f2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.f2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.f2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590585
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.g1', '24.g2', '24.j2', '24.l1', '24.bc2'], 'contains': ['96.d1', '96.g1', '96.i1', '96.j2', '96.x1', '96.cg1', '96.cl2', '96.cm1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4719, -1, 4575, -1], 'generators': [2918004048, 27430179840, 27430179894, 289], 'label': '768.1084399.48.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.g1', 'projective_image': None, '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': None}
  • id: 59590586
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.g2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.g2', '24.j1', '24.l1', '24.bc1'], 'contains': ['96.d1', '96.g1', '96.i2', '96.j1', '96.x2', '96.cg2', '96.cl1', '96.cm2'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4861, -1, 5364, -1], 'generators': [2918004048, 15335757360, 15335757414, 15335757649], 'label': '768.1084399.48.g2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.g2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.g2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590587
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.i1', '24.i2', '24.i3', '24.j1', '24.j2', '24.bc2'], 'contains': ['96.e1', '96.f1', '96.g1', '96.n1', '96.o1', '96.t2', '96.x1', '96.cf2', '96.cg1', '96.co1', '96.cp1'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [4144, -1, 3394, -1], 'generators': [27430179894, 289, 2918003760, 27430180128], 'label': '768.1084399.48.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.h1', 'projective_image': None, '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': None}
  • id: 59590588
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.h2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.i1', '24.i2', '24.i3', '24.j2', '24.bc1'], 'contains': ['96.e1', '96.f1', '96.g1', '96.n2', '96.o2', '96.t1', '96.x2', '96.cf1', '96.cg2', '96.co2', '96.cp2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4154, -1, 3427, -1], 'generators': [15335757361, 15335757414, 2918003760, 15335757648], 'label': '768.1084399.48.h2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.h2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.h2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590589
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.b1', '24.j1', '24.j2'], 'contains': ['96.d1', '96.e1', '96.k1', '96.p1', '96.s1', '96.ch1', '96.ci1', '96.cj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7543, -1, 6597, -1], 'generators': [15335757414, 27430179840, 20717187409, 20717187408], 'label': '768.1084399.48.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.i1', 'projective_image': None, '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': None}
  • id: 59590590
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '24.b1', '24.k1', '24.l1'], 'contains': ['96.a1', '96.d1', '96.k1', '96.ch1', '96.cn1'], 'core': '96.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [7927, -1, 6728, -1], 'generators': [15335757414, 27430179840, 20717187120, 20717187409], 'label': '768.1084399.48.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '48.j1', 'projective_image': None, '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': None}
  • id: 59590591
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.g1', '24.g2', '24.i1', '24.i2', '24.bf1'], 'contains': ['96.f1', '96.g1', '96.u1', '96.v1', '96.y1', '96.cq1', '96.cr1', '96.ct1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [886, -1, 1505, -1], 'generators': [1959919974, 289, 2918003760, 1959920208], 'label': '768.1084399.48.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.k1', 'projective_image': None, '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': None}
  • id: 59590592
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.k2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.g1', '24.g2', '24.i1', '24.i3', '24.bf2'], 'contains': ['96.f1', '96.g1', '96.u2', '96.v2', '96.y2', '96.cq2', '96.cr2', '96.ct2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [831, -1, 980, -1], 'generators': [19239897654, 2918004048, 19239897888, 19239897601], 'label': '768.1084399.48.k2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.k2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590593
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': ['96.bj1', '96.ce1', '96.eo1'], 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '4.e1', '4.f1'], 'contains': ['16.a1', '24.a1', '32.a1', '32.b1'], 'core': '8.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5067, 679, 5509, 1541], 'generators': [79914240, 1959919920, 20717187120, 20717187409, 2918003760, 27909186480], 'label': '768.1084399.8.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1'], 'normal_contains': ['16.a1', '24.a1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': None, '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': None}
  • id: 59590594
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.k3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.g1', '24.g2', '24.i2', '24.i3', '24.bf2'], 'contains': ['96.f1', '96.g1', '96.u3', '96.v3', '96.y2', '96.y3', '96.cq3', '96.cr3', '96.ct2', '96.ct3'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [954, -1, 1111, -1], 'generators': [19239897654, 19239897888, 19239897601, 2918003760], 'label': '768.1084399.48.k3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.k3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.k3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590595
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.c1', '24.h1', '24.i3', '24.bf1'], 'contains': ['96.f1', '96.u1', '96.w1', '96.cq1', '96.cs1'], 'core': '384.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [168, -1, 454, -1], 'generators': [1959919920, 1959919974, 289, 2918003760], 'label': '768.1084399.48.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '48.l1', 'projective_image': None, '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': None}
  • id: 59590596
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.l2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.h1', '24.i1', '24.i2', '24.bf2'], 'contains': ['96.f1', '96.u2', '96.u3', '96.w2', '96.cq2', '96.cq3', '96.cs2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [192, -1, 749, -1], 'generators': [19239897600, 19239897654, 19239897889, 2918003760], 'label': '768.1084399.48.l2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.l2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.l2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590597
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.j1', '24.k1', '24.m1', '24.n1', '24.bg1'], 'contains': ['96.h1', '96.j1', '96.k1', '96.t2', '96.cu1', '96.dq1', '96.dv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7101, -1, 5824, -1], 'generators': [15335757360, 20717187174, 15335757649, 2918003760], 'label': '768.1084399.48.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.m1', 'projective_image': None, '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': None}
  • id: 59590598
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.m2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.j2', '24.k1', '24.m2', '24.n1', '24.bg2'], 'contains': ['96.h2', '96.j2', '96.k1', '96.t1', '96.t2', '96.cu2', '96.dq2', '96.dv2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5231, -1, 4838, -1], 'generators': [15335757414, 27430179840, 289, 2918003760], 'label': '768.1084399.48.m2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.m2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.m2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590599
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.g1', '24.h1', '24.m1', '24.n1', '24.p1', '24.v1', '24.bh1'], 'contains': ['96.h1', '96.j2', '96.u1', '96.u2', '96.u3', '96.cv1', '96.cv2', '96.dr1', '96.dw1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1477, -1, 1801, -1], 'generators': [19239897654, 15335757360, 15335757649, 2918003760], 'label': '768.1084399.48.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.n1', 'projective_image': None, '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': None}
  • id: 59590600
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.n2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.g2', '24.h1', '24.m2', '24.n1', '24.p2', '24.v1', '24.bh2'], 'contains': ['96.h2', '96.j1', '96.j2', '96.u1', '96.u2', '96.u3', '96.cv3', '96.cv4', '96.dr2', '96.dw2'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1922, -1, 2163, -1], 'generators': [19239897654, 27430179840, 289, 2918003760], 'label': '768.1084399.48.n2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.n2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.n2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590601
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.q1', '24.w1', '24.bi1'], 'contains': ['96.h1', '96.l1', '96.m1', '96.dt1', '96.dx1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9466, -1, 9812, -1], 'generators': [15335757361, 15335757360, 2918003760, 6438625326], 'label': '768.1084399.48.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590602
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.g1', '24.m1', '24.s1', '24.y1', '24.bk1'], 'contains': ['96.h1', '96.i1', '96.v1', '96.v2', '96.v3', '96.cw1', '96.cw2', '96.cw3', '96.dp1', '96.ds1', '96.dy1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5771, -1, 4231, -1], 'generators': [15335757360, 27909186768, 15335757649, 2918003760], 'label': '768.1084399.48.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590603
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.p2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.g2', '24.m2', '24.s1', '24.y1', '24.bk1'], 'contains': ['96.h2', '96.i1', '96.i2', '96.v1', '96.v2', '96.v3', '96.cw4', '96.cw5', '96.cw6', '96.cw7', '96.dp2', '96.ds2', '96.dy1', '96.dy2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7532, -1, 4674, -1], 'generators': [27909186768, 27430179840, 289, 2918003760], 'label': '768.1084399.48.p2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.p2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.p2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590604
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '4.b1', '4.c1', '4.d1'], 'contains': ['16.a1', '24.f1', '32.g1', '32.h1'], 'core': '8.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5308, 2287, 5584, 2873], 'generators': [79914240, 288, 1959919920, 20717187120, 2918003760, 27909186480], 'label': '768.1084399.8.b1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.b1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1', '4.d1'], 'normal_contains': ['16.a1', '24.f1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': None, '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': None}
  • id: 59590605
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.a1', '24.h1', '24.n1', '24.s1', '24.bk1'], 'contains': ['96.h1', '96.h2', '96.w1', '96.w2', '96.cx1', '96.cx2', '96.cx3', '96.dp1', '96.dp2', '96.du1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4520, -1, 3723, -1], 'generators': [1959919920, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.48.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590606
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.j1', '24.l1', '24.m2', '24.bg1'], 'contains': ['96.i2', '96.j1', '96.k1', '96.x1', '96.cy1', '96.dv1', '96.dz1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7132, -1, 6087, -1], 'generators': [2918004048, 15335757360, 20717187174, 15335757649], 'label': '768.1084399.48.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590607
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.r2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.j2', '24.l1', '24.m1', '24.m2', '24.bg2'], 'contains': ['96.i1', '96.j2', '96.k1', '96.x1', '96.x2', '96.cy2', '96.dv2', '96.dz2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5065, -1, 4904, -1], 'generators': [2918004048, 15335757414, 27430179840, 289], 'label': '768.1084399.48.r2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.r2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.r2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590608
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.g1', '24.g2', '24.m1', '24.m2', '24.p2', '24.z1', '24.bh2'], 'contains': ['96.i1', '96.j1', '96.j2', '96.y1', '96.y2', '96.y3', '96.cz1', '96.cz2', '96.dw2', '96.ea1'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3121, -1, 2770, -1], 'generators': [19239897654, 2918004048, 27430179840, 289], 'label': '768.1084399.48.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590609
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.s2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.g2', '24.m2', '24.p1', '24.z1', '24.bh1'], 'contains': ['96.i2', '96.j2', '96.y1', '96.y2', '96.y3', '96.cz3', '96.cz4', '96.dw1', '96.ea2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2772, -1, 2901, -1], 'generators': [19239897654, 2918004048, 15335757360, 15335757649], 'label': '768.1084399.48.s2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.s2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.s2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590610
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.q1', '24.ba1', '24.bi1'], 'contains': ['96.i2', '96.l1', '96.m1', '96.dx1', '96.eb1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9507, -1, 9866, -1], 'generators': [15335757361, 2918004048, 15335757360, 6438625326], 'label': '768.1084399.48.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590611
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.j1', '24.j2', '24.o1', '24.o2', '24.o3', '24.bg2'], 'contains': ['96.n1', '96.o1', '96.p1', '96.t1', '96.t2', '96.x1', '96.x2', '96.cu2', '96.cy2', '96.ej1', '96.em1'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [4276, -1, 4001, -1], 'generators': [15335757414, 289, 2918003760, 27430180128], 'label': '768.1084399.48.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590612
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.u2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.j2', '24.o1', '24.o2', '24.o3', '24.bg1'], 'contains': ['96.n2', '96.o2', '96.p1', '96.t2', '96.x1', '96.cu1', '96.cy1', '96.ej2', '96.em2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4804, -1, 4199, -1], 'generators': [15335757361, 2918003760, 20717187384, 15335757648], 'label': '768.1084399.48.u2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.u2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.u2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590613
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.i1', '24.i2', '24.o2', '24.o3', '24.p1', '24.p2', '24.bh2'], 'contains': ['96.n1', '96.o1', '96.o2', '96.u2', '96.u3', '96.y1', '96.y2', '96.cv3', '96.cz1', '96.ek1', '96.en1'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1981, -1, 1999, -1], 'generators': [14856750984, 289, 2918003760, 27430180128], 'label': '768.1084399.48.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590614
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.v2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.i1', '24.i3', '24.o3', '24.p2', '24.bh1'], 'contains': ['96.n2', '96.o1', '96.u1', '96.u2', '96.y2', '96.cv1', '96.cz3', '96.ek2', '96.en2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1825, -1, 1407, -1], 'generators': [15335757361, 14856750984, 2918003760, 15335757648], 'label': '768.1084399.48.v2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.v2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.v2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590615
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '4.g1'], 'contains': ['16.b1', '16.f1', '16.h1', '24.b1', '32.c1'], 'core': '24.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [5331, -1, 6176, -1], 'generators': [79914240, 288, 15335757414, 27430179840, 20717187120, 20717187409], 'label': '768.1084399.8.c1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '8.c1', 'projective_image': None, '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': None}
  • id: 59590616
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.v3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.i2', '24.i3', '24.o1', '24.o3', '24.p1', '24.p2', '24.bh2'], 'contains': ['96.n1', '96.o1', '96.o2', '96.u1', '96.u3', '96.y2', '96.y3', '96.cv4', '96.cz2', '96.ek3', '96.en1'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2018, -1, 2097, -1], 'generators': [27909186744, 289, 2918003760, 27430180128], 'label': '768.1084399.48.v3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.v3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.v3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590617
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.v4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.i2', '24.o1', '24.o2', '24.p2', '24.bh1'], 'contains': ['96.n2', '96.o1', '96.u3', '96.y1', '96.y3', '96.cv2', '96.cz4', '96.ek4', '96.en2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2180, -1, 2130, -1], 'generators': [19239897654, 15335757361, 2918003760, 15335757648], 'label': '768.1084399.48.v4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.v4', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.v4', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590618
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.i1', '24.o1', '24.s1', '24.bk1'], 'contains': ['96.n1', '96.n2', '96.v1', '96.v2', '96.w2', '96.cw1', '96.cw4', '96.cx1', '96.ei1', '96.ei2', '96.el1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5750, -1, 3837, -1], 'generators': [21196264320, 1959919920, 20717187409, 20717187408], 'label': '768.1084399.48.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590619
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.w2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.i2', '24.o3', '24.s1', '24.bk1'], 'contains': ['96.n1', '96.n2', '96.v1', '96.v3', '96.w2', '96.cw2', '96.cw5', '96.cw6', '96.cx2', '96.ei1', '96.ei3', '96.ei4', '96.el2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7111, -1, 4067, -1], 'generators': [19239897600, 20717187409, 2918003760, 20717187408], 'label': '768.1084399.48.w2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.w2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.w2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590620
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.w3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.i3', '24.o2', '24.s1', '24.bk1'], 'contains': ['96.n1', '96.n2', '96.v2', '96.v3', '96.w1', '96.cw3', '96.cw7', '96.cx3', '96.ei2', '96.ei3', '96.el3'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5728, -1, 3870, -1], 'generators': [1959919920, 20717187409, 2918003760, 20717187408], 'label': '768.1084399.48.w3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.w3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.w3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590621
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.t1', '24.bl1'], 'contains': ['96.o2', '96.q1', '96.r1', '96.eo1'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [9135, -1, 7776, -1], 'generators': [1, 14377673784, 6438625326, 27430180128], 'label': '768.1084399.48.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.w1', 'old_label': '48.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.x1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590622
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.j1', '24.p1', '24.q1', '24.r1', '24.s1', '24.bp1'], 'contains': ['96.h1', '96.i2', '96.n1', '96.s1', '96.da1', '96.db1', '96.df1', '96.dj1', '96.dk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8846, -1, 6630, -1], 'generators': [15335757360, 20717187409, 2918003760, 20717187408], 'label': '768.1084399.48.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.y1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590623
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.y2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.j2', '24.p2', '24.s1', '24.bp1'], 'contains': ['96.h2', '96.i1', '96.n1', '96.n2', '96.s1', '96.da2', '96.db2', '96.df1', '96.df2', '96.dj2', '96.dk2'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8300, -1, 5792, -1], 'generators': [27430179840, 20717187409, 2918003760, 20717187408], 'label': '768.1084399.48.y2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.y2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.y2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590624
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.j1', '24.p2', '24.bq1'], 'contains': ['96.j1', '96.o1', '96.s1', '96.dc1', '96.dg1', '96.dl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5707, -1, 5726, -1], 'generators': [14377673574, 27430179840, 20717187409, 20717187408], 'label': '768.1084399.48.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.z1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590625
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.z2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.j2', '24.p1', '24.p2', '24.t1', '24.u1', '24.bq1'], 'contains': ['96.j2', '96.o1', '96.o2', '96.s1', '96.dc2', '96.dg1', '96.dg2', '96.dl2'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5076, -1, 5463, -1], 'generators': [27430179840, 20717187409, 12936672054, 20717187408], 'label': '768.1084399.48.z2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.z2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.z2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590626
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.a1'], 'contains': ['16.c1', '16.g1', '16.i1', '24.bf1', '32.c1'], 'core': '96.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [5015, -1, 976, -1], 'generators': [79914240, 1959919920, 288, 1959919974, 289, 2918003760], 'label': '768.1084399.8.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1', 'old_label': '8.d1', 'projective_image': None, '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': None}
  • id: 59590627
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.c1', '24.q1', '24.t1'], 'contains': ['96.l1', '96.q1', '96.s1', '96.dd1', '96.dh1', '96.dm1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9388, -1, 8962, -1], 'generators': [27430179840, 20717187409, 6438625326, 20717187408], 'label': '768.1084399.48.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '48.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ba1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590628
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.br1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.q1', '24.u1', '24.br1'], 'contains': ['96.m1', '96.s1', '96.de1', '96.dn1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9423, -1, 9246, -1], 'generators': [20717187121, 27430179840, 37536352686, 20717187408], 'label': '768.1084399.48.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '48.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590629
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.bs1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.r1', '24.t1', '24.u1', '24.bs1'], 'contains': ['96.r1', '96.s1', '96.di1', '96.do1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9116, -1, 7599, -1], 'generators': [6917667270, 27430179840, 20717187409, 20717187408], 'label': '768.1084399.48.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '48.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590630
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.a1', '24.k1', '24.v1', '24.w1', '24.x1', '24.y1', '24.bp1'], 'contains': ['96.a1', '96.h1', '96.h2', '96.da1', '96.da2', '96.ec1', '96.ed1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8422, -1, 6696, -1], 'generators': [27430179840, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.48.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590631
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.l1', '24.y1', '24.z1', '24.ba1', '24.bb1', '24.bp1'], 'contains': ['96.a1', '96.i1', '96.i2', '96.db1', '96.db2', '96.ed1', '96.ef1'], 'core': '96.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8947, -1, 6794, -1], 'generators': [2918004048, 27430179840, 20717187120, 20717187409], 'label': '768.1084399.48.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.be1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590632
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.k1', '24.l1', '24.v1', '24.z1', '24.bq1'], 'contains': ['96.a1', '96.j1', '96.j2', '96.dc1', '96.dc2', '96.ee1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5717, -1, 5989, -1], 'generators': [27430179840, 20717187120, 20717187409, 12936672054], 'label': '768.1084399.48.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590633
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '24.c1', '24.w1', '24.ba1'], 'contains': ['96.a1', '96.l1', '96.dd1', '96.eg1'], 'core': '96.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9309, -1, 9594, -1], 'generators': [27430179840, 20717187120, 20717187409, 6438625326], 'label': '768.1084399.48.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '48.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590634
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.br1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.w1', '24.x1', '24.ba1', '24.bb1', '24.br1'], 'contains': ['96.a1', '96.m1', '96.de1', '96.eh1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9240, -1, 9753, -1], 'generators': [43604794926, 27430179840, 20717187120, 20717187409], 'label': '768.1084399.48.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590635
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.g1', '24.i1', '24.m2', '24.o3', '24.bt3'], 'contains': ['96.t1', '96.u2', '96.v1', '96.x1', '96.y2', '96.ep1', '96.eq1', '96.es1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1932, -1, 1604, -1], 'generators': [15335757414, 289, 2918003760, 1959920208], 'label': '768.1084399.48.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590636
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bi2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.g1', '24.i2', '24.m2', '24.o2', '24.o3', '24.bt2'], 'contains': ['96.t1', '96.u3', '96.v3', '96.x1', '96.y1', '96.y2', '96.ep2', '96.eq2', '96.es2', '96.es3'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2029, -1, 2031, -1], 'generators': [15335757414, 19239897888, 19239897601, 2918003760], 'label': '768.1084399.48.bi2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bi2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bi2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590637
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.bd1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '4.g1'], 'contains': ['16.d1', '16.f1', '16.j1', '24.c1', '32.d1'], 'core': '24.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [6348, -1, 6403, -1], 'generators': [79914240, 288, 27430179840, 20717187120, 20717187409, 6438625326], 'label': '768.1084399.8.e1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '8.e1', 'projective_image': None, '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': None}
  • id: 59590638
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bi3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.g1', '24.i3', '24.m2', '24.o1', '24.bt1'], 'contains': ['96.t1', '96.u1', '96.v2', '96.x1', '96.y3', '96.ep3', '96.eq3', '96.es4'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2192, -1, 1966, -1], 'generators': [2918004048, 14856750984, 19239897888, 19239897601], 'label': '768.1084399.48.bi3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bi3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bi3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590639
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bi4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.g2', '24.i1', '24.m1', '24.m2', '24.o1', '24.o2', '24.bt2'], 'contains': ['96.t2', '96.u3', '96.v2', '96.x1', '96.x2', '96.y1', '96.y2', '96.ep4', '96.eq4', '96.es2', '96.es5'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2603, -1, 2310, -1], 'generators': [2918004048, 15335757414, 19239897888, 19239897601], 'label': '768.1084399.48.bi4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bi4', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bi4', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590640
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bi5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.g2', '24.i2', '24.m1', '24.m2', '24.o1', '24.o3', '24.bt3'], 'contains': ['96.t2', '96.u3', '96.v1', '96.x1', '96.x2', '96.y2', '96.y3', '96.ep5', '96.eq5', '96.es1', '96.es6'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2761, -1, 2474, -1], 'generators': [27430179894, 289, 2918003760, 1959920208], 'label': '768.1084399.48.bi5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bi5', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bi5', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590641
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bi6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.g2', '24.i2', '24.m1', '24.m2', '24.o2', '24.o3', '24.bt1'], 'contains': ['96.t2', '96.u2', '96.v3', '96.x1', '96.x2', '96.y1', '96.y3', '96.ep6', '96.eq6', '96.es4', '96.es7'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2614, -1, 2507, -1], 'generators': [14856750984, 19239897888, 19239897601, 2918003760], 'label': '768.1084399.48.bi6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bi6', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bi6', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590642
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bi7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.g2', '24.i3', '24.m1', '24.m2', '24.o3', '24.bt2'], 'contains': ['96.t2', '96.u1', '96.v3', '96.x1', '96.x2', '96.y2', '96.ep7', '96.eq7', '96.es3', '96.es5'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2782, -1, 2342, -1], 'generators': [19239897888, 19239897601, 2918003760, 20717187384], 'label': '768.1084399.48.bi7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bi7', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bi7', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590643
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.h1', '24.i1', '24.n1', '24.o3', '24.bt1'], 'contains': ['96.t1', '96.t2', '96.u1', '96.u2', '96.w2', '96.ep3', '96.ep6', '96.er1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1461, -1, 1144, -1], 'generators': [14856750774, 19239897600, 19239897889, 2918003760], 'label': '768.1084399.48.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590644
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.h1', '24.i2', '24.n1', '24.o1', '24.o3', '24.bt2'], 'contains': ['96.t1', '96.t2', '96.u1', '96.u3', '96.w2', '96.ep2', '96.ep4', '96.ep7', '96.er2'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1491, -1, 1571, -1], 'generators': [19239897600, 19239897889, 15335757414, 2918003760], 'label': '768.1084399.48.bj2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bj2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590645
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bj3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.h1', '24.i3', '24.n1', '24.o2', '24.bt3'], 'contains': ['96.t1', '96.t2', '96.u2', '96.u3', '96.w1', '96.ep1', '96.ep5', '96.er3'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [855, -1, 1078, -1], 'generators': [1959919920, 15335757414, 289, 2918003760], 'label': '768.1084399.48.bj3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bj3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bj3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590646
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '24.bc1', '24.bc2', '24.bd1', '24.be1'], 'contains': ['96.b1', '96.d1', '96.e1', '96.z1', '96.bc1', '96.bf1', '96.bg1'], 'core': '96.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7967, -1, 6875, -1], 'generators': [288, 27430179840, 27430179894, 289], 'label': '768.1084399.48.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590647
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bc1', '24.bc2', '24.bf1', '24.bf2'], 'contains': ['96.b1', '96.f1', '96.g1', '96.ba1', '96.bb1', '96.bh1', '96.bi1'], 'core': '96.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [5686, -1, 4641, -1], 'generators': [1959919920, 288, 1959919974, 289], 'label': '768.1084399.48.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590648
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.be1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '4.g1'], 'contains': ['16.f1', '16.k1', '24.d1', '32.e1'], 'core': '24.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [7559, -1, 6566, -1], 'generators': [79914240, 288, 27430179840, 20717187120, 44602755270, 20717187409], 'label': '768.1084399.8.f1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '8.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590649
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.e1', '24.bd1'], 'contains': ['96.b1', '96.bd1', '96.be1', '96.bj1'], 'core': '96.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [9172, -1, 8219, -1], 'generators': [54, 288, 289, 6438625326], 'label': '768.1084399.48.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '48.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590650
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bc1', '24.bg1', '24.bh1', '24.bi1', '24.bj1', '24.bk1', '24.bp1'], 'contains': ['96.h1', '96.i2', '96.n2', '96.z1', '96.ba1', '96.bk1', '96.bq1', '96.br1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8778, -1, 6333, -1], 'generators': [15335757360, 288, 15335757649, 2918003760], 'label': '768.1084399.48.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590651
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bn2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bc2', '24.bg2', '24.bh2', '24.bk1', '24.bp1'], 'contains': ['96.h2', '96.i1', '96.n1', '96.z1', '96.ba1', '96.bk2', '96.bq2', '96.br2'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8729, -1, 5857, -1], 'generators': [288, 27430179840, 289, 2918003760], 'label': '768.1084399.48.bn2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bn2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bn2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590652
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bc1', '24.bg1', '24.bh2', '24.bl1', '24.bm1', '24.bq1'], 'contains': ['96.j1', '96.o2', '96.z1', '96.bb1', '96.bl1', '96.bs1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7612, -1, 6252, -1], 'generators': [288, 27430179840, 289, 21675271014], 'label': '768.1084399.48.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bo1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590653
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bo2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bc2', '24.bg2', '24.bh1', '24.bh2', '24.bq1'], 'contains': ['96.j2', '96.o1', '96.z1', '96.bb1', '96.bl2', '96.bs2'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6923, -1, 5496, -1], 'generators': [288, 27430179840, 289, 12936672054], 'label': '768.1084399.48.bo2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bo2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bo2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590654
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.b1', '24.bg1', '24.bg2', '24.bn1', '24.bo1'], 'contains': ['96.k1', '96.p1', '96.z1', '96.bc1', '96.bm1', '96.bt1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8905, -1, 6974, -1], 'generators': [288, 15335757414, 27430179840, 289], 'label': '768.1084399.48.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590655
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1', '24.bd1', '24.bi1', '24.bl1', '24.bn1'], 'contains': ['96.l1', '96.q1', '96.z1', '96.bd1', '96.bn1', '96.bu1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9439, -1, 8800, -1], 'generators': [288, 27430179840, 289, 6438625326], 'label': '768.1084399.48.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590656
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1', '24.bd1', '24.bj1', '24.bm1', '24.bn1'], 'contains': ['96.z1', '96.be1', '96.bo1', '96.bv1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9627, -1, 8369, -1], 'generators': [288, 27430179840, 44602755270, 289], 'label': '768.1084399.48.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.br1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590657
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.br1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.be1', '24.bi1', '24.bm1', '24.bo1', '24.br1'], 'contains': ['96.m1', '96.z1', '96.bw1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9403, -1, 8881, -1], 'generators': [7875625086, 288, 27430179840, 289], 'label': '768.1084399.48.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590658
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.bs1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.be1', '24.bj1', '24.bl1', '24.bo1', '24.bs1'], 'contains': ['96.r1', '96.z1', '96.bx1'], 'core': '192.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9324, -1, 7889, -1], 'generators': [288, 27430179840, 289, 45081671190], 'label': '768.1084399.48.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bt1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590659
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['2.d1', '4.g1'], 'contains': ['16.h1', '16.j1', '16.k1', '24.e1', '32.f1'], 'core': '24.e1', 'coset_action_label': None, 'count': 16, 'diagramx': [7523, -1, 6481, -1], 'generators': [27430179840, 79914240, 288, 15335757414, 32736493855, 20717187120], 'label': '768.1084399.8.g1', 'mobius_quo': None, 'mobius_sub': 1, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '8.g1', 'projective_image': None, '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': None}
  • id: 59590660
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bc1', '24.bg2', '24.bt1', '24.bt2', '24.bt3'], 'contains': ['96.t1', '96.x2', '96.ba1', '96.bb1', '96.bc1', '96.bz1', '96.cc1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6752, -1, 4970, -1], 'generators': [19239897654, 1959919920, 288, 289], 'label': '768.1084399.48.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590661
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bu2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bc2', '24.bg1', '24.bg2', '24.bt1', '24.bt2', '24.bt3'], 'contains': ['96.t2', '96.x1', '96.ba1', '96.bb1', '96.bc1', '96.bz2', '96.cc2'], 'core': '192.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6955, -1, 5134, -1], 'generators': [1959919920, 288, 15335757414, 289], 'label': '768.1084399.48.bu2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bu2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bu2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590662
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bf1', '24.bh1', '24.bh2', '24.bt1', '24.bt2'], 'contains': ['96.u1', '96.y1', '96.ba1', '96.bb1', '96.ca1', '96.cd1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6381, -1, 3493, -1], 'generators': [2438997174, 1959919920, 288, 289], 'label': '768.1084399.48.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590663
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bv2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bf2', '24.bh1', '24.bh2', '24.bt1', '24.bt3'], 'contains': ['96.u2', '96.y3', '96.ba1', '96.bb1', '96.ca2', '96.cd2'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6412, -1, 3230, -1], 'generators': [1959919920, 288, 289, 21675271014], 'label': '768.1084399.48.bv2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bv2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bv2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590664
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bv3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bf2', '24.bh1', '24.bh2', '24.bt2', '24.bt3'], 'contains': ['96.u3', '96.y2', '96.ba1', '96.bb1', '96.ca3', '96.cd3'], 'core': '192.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6391, -1, 3263, -1], 'generators': [1959919920, 288, 289, 12936672054], 'label': '768.1084399.48.bv3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bv3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bv3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590665
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.g1', '24.bf1', '24.bk1', '24.bt3'], 'contains': ['96.v1', '96.w1', '96.ba1', '96.by1', '96.cb1'], 'core': '192.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4989, -1, 3033, -1], 'generators': [1959919920, 288, 289, 2918003760], 'label': '768.1084399.48.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '48.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590666
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bw2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bf2', '24.bk1', '24.bt1', '24.bt2'], 'contains': ['96.v2', '96.v3', '96.w2', '96.ba1', '96.by2', '96.by3', '96.cb2'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5760, -1, 3460, -1], 'generators': [19239897600, 19239897889, 288, 2918003760], 'label': '768.1084399.48.bw2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.bw2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bw2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590667
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.bd1', '24.bn1'], 'contains': ['96.bc1', '96.bd1', '96.be1', '96.ce1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9366, -1, 8591, -1], 'generators': [288, 27430179894, 289, 6438625326], 'label': '768.1084399.48.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1', 'old_label': '48.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590668
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bc1', '24.bu1', '24.bu2', '24.bu3', '24.bv2'], 'contains': ['96.bf1', '96.bh1', '96.bi1', '96.bk1', '96.bl1', '96.bz1', '96.cc1', '96.cf1', '96.cg2'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6901, -1, 4871, -1], 'generators': [19239897654, 1959919920, 288, 20717187409], 'label': '768.1084399.48.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.by1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590669
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.by2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.bc2', '24.bu1', '24.bu2', '24.bu3', '24.bv1', '24.bv2'], 'contains': ['96.bf1', '96.bh1', '96.bi1', '96.bk2', '96.bl2', '96.bz2', '96.cc2', '96.cf2', '96.cg1'], 'core': '192.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [7122, -1, 4937, -1], 'generators': [14856751009, 1959919920, 288, 15335757414], 'label': '768.1084399.48.by2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.by2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.by2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590670
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1', 'complements': ['384.c1', '384.k1', '384.i1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.c1', '4.f1', '6.b1', '8.e1'], 'core': '2.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6367, 6825, 6372, 1831], 'generators': [79914240, 288, 1959919920, 20717187120, 20717187409, 2918003760, 6438625326, 27909186480], 'label': '768.1084399.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.c1', '6.b1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590671
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '4.e1'], 'contains': ['16.a1', '24.dl1', '32.i1', '32.j1'], 'core': '16.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4959, -1, 5047, -1], 'generators': [79914240, 1959919920, 15335757414, 20717187120, 2918003760, 27909186480], 'label': '768.1084399.8.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '8.h1', 'projective_image': None, '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': None}
  • id: 59590672
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bd1', '24.bw1'], 'contains': ['96.bf1', '96.bj1', '96.bn1', '96.bo1', '96.ce1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [9812, -1, 8701, -1], 'generators': [288, 20717187174, 20717187409, 6438625326], 'label': '768.1084399.48.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1', 'old_label': '48.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.bz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590673
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.b1', '24.bv1', '24.bv2', '24.bw1', '24.bx1'], 'contains': ['96.bf1', '96.bg1', '96.bm1', '96.bp1', '96.bt1', '96.ch1', '96.ci1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [8646, -1, 6908, -1], 'generators': [288, 15335757414, 27430179840, 20717187409], 'label': '768.1084399.48.ca1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ca1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590674
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bc1', '24.bv1', '24.by2', '24.bz1', '24.ca1', '24.cc1'], 'contains': ['96.bg1', '96.bh1', '96.bq1', '96.bs1', '96.bz1', '96.ck1', '96.cm2', '96.co2'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [6360, -1, 5430, -1], 'generators': [15335757360, 288, 15335757414, 2918003760], 'label': '768.1084399.48.cb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590675
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cb2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bc2', '24.bv2', '24.by1', '24.ca1', '24.cc1'], 'contains': ['96.bg1', '96.bh1', '96.bq2', '96.bs2', '96.bz2', '96.ck2', '96.cm1', '96.co1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [5739, -1, 4772, -1], 'generators': [288, 27430179840, 27430179894, 2918003760], 'label': '768.1084399.48.cb2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cb2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cb2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590676
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bc1', '24.bv1', '24.by1', '24.cb1', '24.cd1'], 'contains': ['96.bg1', '96.bi1', '96.br1', '96.bs1', '96.cc1', '96.cl1', '96.cp2'], 'core': '192.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7585, -1, 6219, -1], 'generators': [14377673809, 288, 27430179840, 27430179894], 'label': '768.1084399.48.cc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590677
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cc2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bc2', '24.bv2', '24.by1', '24.by2', '24.cd1'], 'contains': ['96.bg1', '96.bi1', '96.br2', '96.bs2', '96.cc2', '96.cl2', '96.cp1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6913, -1, 5562, -1], 'generators': [288, 27430179840, 21196264609, 12936672054], 'label': '768.1084399.48.cc2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cc2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cc2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590678
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.e1', '24.bd1', '24.bw1', '24.bz1', '24.cb1'], 'contains': ['96.bg1', '96.bj1', '96.bu1', '96.bv1', '96.ce1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [9974, -1, 8536, -1], 'generators': [288, 27430179840, 32736493855, 27430179894], 'label': '768.1084399.48.cd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590679
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.be1', '24.bx1', '24.bz1', '24.cb1', '24.ce1'], 'contains': ['96.bg1', '96.bw1', '96.bx1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [9723, -1, 8270, -1], 'generators': [32257577935, 288, 27430179840, 27430179894], 'label': '768.1084399.48.ce1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ce1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590680
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bf1', '24.bu1', '24.bu2', '24.by1', '24.by2'], 'contains': ['96.bh1', '96.bi1', '96.by1', '96.ca1', '96.cd1', '96.cq1', '96.ct1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [5635, -1, 3098, -1], 'generators': [1959919920, 288, 1959919974, 2918004049], 'label': '768.1084399.48.cf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590681
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cf2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.bf2', '24.bu1', '24.bu3', '24.by1', '24.by2'], 'contains': ['96.bh1', '96.bi1', '96.by2', '96.ca3', '96.cd2', '96.cd3', '96.cq3', '96.ct2'], 'core': '192.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [6402, -1, 3164, -1], 'generators': [14377673809, 1959919920, 288, 12936672054], 'label': '768.1084399.48.cf2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cf2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cf2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590682
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '4.f1'], 'contains': ['16.a1', '24.dr1', '32.k1'], 'core': '16.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [6130, -1, 6315, -1], 'generators': [79914240, 1959919920, 32736493855, 20717187120, 2918003760, 27909186480], 'label': '768.1084399.8.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.i1', 'projective_image': None, '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': None}
  • id: 59590683
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cf3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bf2', '24.bu2', '24.bu3', '24.by1', '24.by2'], 'contains': ['96.bh1', '96.bi1', '96.by3', '96.ca2', '96.cd3', '96.cq2', '96.ct3'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [5564, -1, 3066, -1], 'generators': [1959919920, 288, 21196264609, 21675271014], 'label': '768.1084399.48.cf3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cf3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cf3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590684
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.i1', '24.bf1', '24.bu3', '24.ca1'], 'contains': ['96.bh1', '96.ca1', '96.cb1', '96.cr1', '96.cs1'], 'core': '192.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [4509, -1, 486, -1], 'generators': [1959919920, 288, 1959919974, 2918003760], 'label': '768.1084399.48.cg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '48.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590685
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bf2', '24.bu1', '24.bu2', '24.ca1'], 'contains': ['96.bh1', '96.ca2', '96.ca3', '96.cb2', '96.cr2', '96.cr3', '96.cs2'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [4708, -1, 519, -1], 'generators': [19239897600, 19239897654, 288, 2918003760], 'label': '768.1084399.48.cg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cg2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cg2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590686
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bg1', '24.bv2', '24.cf1', '24.cf2', '24.cf3'], 'contains': ['96.bk1', '96.bl1', '96.bm1', '96.bz2', '96.cc2', '96.cu1', '96.cy1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [7553, -1, 5200, -1], 'generators': [1959919920, 288, 15335757414, 20717187409], 'label': '768.1084399.48.ch1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ch1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590687
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ch2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.bg2', '24.bv1', '24.bv2', '24.cf1', '24.cf2', '24.cf3'], 'contains': ['96.bk2', '96.bl2', '96.bm1', '96.bz1', '96.bz2', '96.cc1', '96.cc2', '96.cu2', '96.cy2'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [7574, -1, 5167, -1], 'generators': [14856751009, 1959919920, 288, 27430179894], 'label': '768.1084399.48.ch2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ch2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ch2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590688
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bh1', '24.bu1', '24.cf1', '24.cf3', '24.cg2'], 'contains': ['96.bk1', '96.bl2', '96.ca3', '96.cd1', '96.cd2', '96.cv2', '96.cz3'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6806, -1, 4034, -1], 'generators': [1959919920, 288, 20717187409, 12936672054], 'label': '768.1084399.48.ci1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ci1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ci1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590689
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ci2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bh1', '24.bu2', '24.bu3', '24.cf2', '24.cg2'], 'contains': ['96.bk1', '96.bl2', '96.ca1', '96.ca2', '96.cd3', '96.cv1', '96.cz4'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [5696, -1, 3296, -1], 'generators': [1959919920, 288, 20717187409, 21675271014], 'label': '768.1084399.48.ci2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ci2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ci2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590690
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ci3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.bh2', '24.bu1', '24.bu2', '24.cf2', '24.cf3', '24.cg1', '24.cg2'], 'contains': ['96.bk2', '96.bl1', '96.bl2', '96.ca2', '96.ca3', '96.cd1', '96.cd3', '96.cv3', '96.cz2'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [6773, -1, 3935, -1], 'generators': [14856751009, 1959919920, 288, 26951102694], 'label': '768.1084399.48.ci3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ci3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ci3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590691
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ci4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.bh2', '24.bu1', '24.bu3', '24.cf1', '24.cf2', '24.cg1', '24.cg2'], 'contains': ['96.bk2', '96.bl1', '96.bl2', '96.ca1', '96.ca3', '96.cd2', '96.cd3', '96.cv4', '96.cz1'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [6678, -1, 3903, -1], 'generators': [14856751009, 1959919920, 288, 12936672054], 'label': '768.1084399.48.ci4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ci4', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ci4', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590692
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bk1', '24.bu1', '24.cf2', '24.cj1'], 'contains': ['96.bk1', '96.bk2', '96.by1', '96.by2', '96.cb2', '96.cw2', '96.cw4', '96.cw7', '96.cx2'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [7767, -1, 4330, -1], 'generators': [19239897600, 288, 20717187409, 2918003760], 'label': '768.1084399.48.cj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590693
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': ['64.h1'], 'conjugacy_class_count': 1, 'contained_in': ['4.g1', '6.e1'], 'contains': ['24.b1', '24.c1', '24.d1', '24.e1', '24.bd1', '24.bn1', '24.bw1'], 'core': '12.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9429, 7528, 8394, 8229], 'generators': [288, 15335757414, 27430179840, 20717187120, 20717187409, 6438625326], 'label': '768.1084399.12.a1', 'mobius_quo': 0, 'mobius_sub': 4, 'normal_closure': '12.a1', 'normal_contained_in': ['3.a1'], 'normal_contains': ['24.b1', '24.c1', '24.d1', '24.e1'], 'normalizer': '1.a1', 'old_label': '12.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590694
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bk1', '24.bu2', '24.cf1', '24.cj1'], 'contains': ['96.bk1', '96.bk2', '96.by1', '96.by3', '96.cb2', '96.cw3', '96.cw5', '96.cx1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7800, -1, 4100, -1], 'generators': [14856751009, 19239897600, 288, 2918003760], 'label': '768.1084399.48.cj2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cj2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cj2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590695
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cj3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bk1', '24.bu3', '24.cf3', '24.cj1'], 'contains': ['96.bk1', '96.bk2', '96.by2', '96.by3', '96.cb1', '96.cw1', '96.cw6', '96.cx3'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7788, -1, 4133, -1], 'generators': [1959919920, 288, 20717187409, 2918003760], 'label': '768.1084399.48.cj3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cj3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cj3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590696
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bn1', '24.bw1'], 'contains': ['96.bm1', '96.bn1', '96.bo1', '96.ce1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [9895, -1, 8756, -1], 'generators': [288, 15335757414, 20717187409, 6438625326], 'label': '768.1084399.48.ck1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1', 'old_label': '48.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ck1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590697
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bp1', '24.bv1', '24.cg1', '24.ch1', '24.ci1', '24.cj1'], 'contains': ['96.bk2', '96.bp1', '96.bq1', '96.br1', '96.da1', '96.db1', '96.df2'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [8936, -1, 6663, -1], 'generators': [15335757360, 288, 20717187409, 2918003760], 'label': '768.1084399.48.cl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590698
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cl2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bp1', '24.bv2', '24.cg2', '24.cj1'], 'contains': ['96.bk1', '96.bk2', '96.bp1', '96.bq2', '96.br2', '96.da2', '96.db2', '96.df1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [8754, -1, 6022, -1], 'generators': [288, 27430179840, 20717187409, 2918003760], 'label': '768.1084399.48.cl2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cl2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cl2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590699
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bq1', '24.bv1', '24.cg2', '24.ck1', '24.cl1'], 'contains': ['96.bl2', '96.bp1', '96.bs1', '96.dc1', '96.dg2'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [7978, -1, 6564, -1], 'generators': [288, 27430179840, 20717187409, 21675271014], 'label': '768.1084399.48.cm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590700
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cm2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bq1', '24.bv2', '24.cg1', '24.cg2'], 'contains': ['96.bl1', '96.bl2', '96.bp1', '96.bs2', '96.dc2', '96.dg1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7060, -1, 5594, -1], 'generators': [288, 27430179840, 20717187409, 12936672054], 'label': '768.1084399.48.cm2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cm2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cm2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590701
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.c1', '24.bw1', '24.ch1', '24.ck1'], 'contains': ['96.bn1', '96.bp1', '96.bu1', '96.dd1', '96.dh1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [9744, -1, 8929, -1], 'generators': [288, 27430179840, 20717187409, 6438625326], 'label': '768.1084399.48.cn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.cn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590702
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.d1', '24.bw1', '24.ci1', '24.cl1'], 'contains': ['96.bo1', '96.bp1', '96.bv1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [9914, -1, 8432, -1], 'generators': [288, 27430179840, 44602755270, 20717187409], 'label': '768.1084399.48.co1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.co1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.co1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590703
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.br1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.br1', '24.bx1', '24.ch1', '24.cl1'], 'contains': ['96.bp1', '96.bw1', '96.de1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [9681, -1, 9073, -1], 'generators': [7875625086, 288, 27430179840, 20717187409], 'label': '768.1084399.48.cp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.cp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590704
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '6.a1', '6.b1', '6.c1'], 'contains': ['24.a1', '24.f1', '24.s1', '24.y1', '24.bk1', '24.bp1', '24.cj1', '24.cq1'], 'core': '12.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7536, 4093, 5638, 3829], 'generators': [288, 1959919920, 20717187120, 20717187409, 2918003760, 27909186480], 'label': '768.1084399.12.b1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.b1', 'normal_contained_in': ['4.a1', '6.a1', '6.b1', '6.c1'], 'normal_contains': ['24.a1', '24.f1', '48.a1'], 'normalizer': '1.a1', 'old_label': '12.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590705
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.bs1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.bs1', '24.bx1', '24.ci1', '24.ck1'], 'contains': ['96.bp1', '96.bx1', '96.di1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [9647, -1, 7952, -1], 'generators': [288, 27430179840, 20717187409, 45081671190], 'label': '768.1084399.48.cq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.cq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590706
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bk1', '24.by1', '24.cj1', '24.cm2', '24.cq1'], 'contains': ['96.bq2', '96.br1', '96.br2', '96.by1', '96.by2', '96.by3', '96.dp2', '96.dy1', '96.ei1', '96.ei3'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [8311, -1, 5299, -1], 'generators': [14856751009, 288, 27430179840, 2918003760], 'label': '768.1084399.48.cr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cr1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590707
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cr2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bk1', '24.by2', '24.cj1', '24.cm1', '24.cq1'], 'contains': ['96.bq1', '96.br2', '96.by1', '96.by2', '96.by3', '96.dp1', '96.dy2', '96.ei2', '96.ei4'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [8248, -1, 4740, -1], 'generators': [14856751009, 15335757360, 288, 2918003760], 'label': '768.1084399.48.cr2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cr2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cr2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590708
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bg1', '24.bv1', '24.cc1', '24.cm1', '24.cn1', '24.co1'], 'contains': ['96.bq1', '96.bs1', '96.bt1', '96.bz2', '96.dq1', '96.dz1', '96.ej2'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7859, -1, 6120, -1], 'generators': [15335757360, 288, 20717187174, 2918003760], 'label': '768.1084399.48.cs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590709
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cs2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bg2', '24.bv2', '24.cc1', '24.cm2', '24.co1'], 'contains': ['96.bq2', '96.bs2', '96.bt1', '96.bz1', '96.bz2', '96.dq2', '96.dz2', '96.ej1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [7143, -1, 5266, -1], 'generators': [288, 15335757414, 27430179840, 2918003760], 'label': '768.1084399.48.cs2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cs2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cs2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590710
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bh1', '24.by2', '24.ca1', '24.cg1', '24.cm1', '24.co1', '24.cr1'], 'contains': ['96.bq1', '96.bs2', '96.ca1', '96.ca2', '96.ca3', '96.dr1', '96.ea2', '96.ek2', '96.ek4'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [4740, -1, 2540, -1], 'generators': [19239897654, 15335757360, 288, 2918003760], 'label': '768.1084399.48.ct1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ct1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ct1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590711
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ct2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.bh2', '24.by1', '24.ca1', '24.cg2', '24.cm2', '24.co1', '24.cr1'], 'contains': ['96.bq2', '96.bs1', '96.bs2', '96.ca1', '96.ca2', '96.ca3', '96.dr2', '96.ea1', '96.ek1', '96.ek3'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [4872, -1, 2836, -1], 'generators': [19239897654, 288, 27430179840, 2918003760], 'label': '768.1084399.48.ct2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ct2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ct2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590712
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bi1', '24.bz1', '24.ch1', '24.cn1', '24.cs1'], 'contains': ['96.bq1', '96.bu1', '96.bw1', '96.dt1', '96.eb1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [9845, -1, 9132, -1], 'generators': [15335757360, 288, 32736493855, 2918003760], 'label': '768.1084399.48.cu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.cu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590713
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bj1', '24.bz1', '24.ci1', '24.cn1', '24.ct1'], 'contains': ['96.bq1', '96.bv1', '96.bx1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [9758, -1, 8069, -1], 'generators': [15335757360, 288, 44602755270, 2918003760], 'label': '768.1084399.48.cv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.cv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590714
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.f1', '24.bk1', '24.ca1', '24.cj1', '24.co1'], 'contains': ['96.bq1', '96.bq2', '96.cb1', '96.cb2', '96.ds1', '96.ds2', '96.du1', '96.el1', '96.el2', '96.el3'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [5125, -1, 2967, -1], 'generators': [1959919920, 288, 20717187120, 2918003760], 'label': '768.1084399.48.cw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590715
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': ['64.b1'], 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '6.a1', '6.d1'], 'contains': ['24.f1', '24.ca1', '24.cc1', '24.co1', '24.cr1', '24.di1', '24.dk1', '24.dl1'], 'core': '12.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [4866, 4791, 3625, 6181], 'generators': [288, 1959919920, 15335757414, 20717187120, 2918003760, 27909186480], 'label': '768.1084399.12.c1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.c1', 'normal_contained_in': ['4.b1', '6.a1', '6.d1'], 'normal_contains': ['24.f1', '48.b1'], 'normalizer': '1.a1', 'old_label': '12.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590716
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bg1', '24.bv1', '24.cd1', '24.cm2', '24.cp1'], 'contains': ['96.br1', '96.bs1', '96.bt1', '96.cc2', '96.dv1', '96.em2'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [8464, -1, 6366, -1], 'generators': [14377673809, 288, 15335757414, 27430179840], 'label': '768.1084399.48.cx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.cx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590717
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cx2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bg2', '24.bv2', '24.cd1', '24.cm1', '24.cm2'], 'contains': ['96.br2', '96.bs2', '96.bt1', '96.cc1', '96.cc2', '96.dv2', '96.em1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [7810, -1, 5627, -1], 'generators': [288, 15335757414, 27430179840, 21196264609], 'label': '768.1084399.48.cx2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cx2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cx2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590718
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bh1', '24.by1', '24.cg1', '24.cm2', '24.cw1'], 'contains': ['96.br1', '96.bs2', '96.cd1', '96.cd2', '96.cd3', '96.dw1', '96.en2'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6544, -1, 4462, -1], 'generators': [14377673809, 288, 27430179840, 12936672054], 'label': '768.1084399.48.cy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cy1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590719
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cy2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.bh2', '24.by1', '24.by2', '24.cg2', '24.cm1', '24.cm2', '24.cw1'], 'contains': ['96.br2', '96.bs1', '96.bs2', '96.cd1', '96.cd2', '96.cd3', '96.dw2', '96.en1'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [6762, -1, 5003, -1], 'generators': [19239897654, 288, 27430179840, 21196264609], 'label': '768.1084399.48.cy2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.cy2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cy2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590720
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bi1', '24.cb1', '24.ch1', '24.cp1', '24.cx1'], 'contains': ['96.br1', '96.bu1', '96.bw1', '96.dx1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [9864, -1, 9187, -1], 'generators': [14377673809, 288, 27430179840, 6438625326], 'label': '768.1084399.48.cz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.cz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.cz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590721
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bj1', '24.cb1', '24.ci1', '24.cp1', '24.cy1'], 'contains': ['96.br1', '96.bv1', '96.bx1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [9795, -1, 8170, -1], 'generators': [14377673809, 288, 27430179840, 45081671190], 'label': '768.1084399.48.da1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.da1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.da1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590722
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.bl1', '24.bz1', '24.cb1', '24.ck1', '24.cn1', '24.cp1', '24.db1'], 'contains': ['96.bs1', '96.bu1', '96.bx1', '96.eo1'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [9780, -1, 8119, -1], 'generators': [288, 27430179840, 32736493855, 21675271014], 'label': '768.1084399.48.db1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.db1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.db1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590723
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.bm1', '24.bz1', '24.cb1', '24.cl1', '24.cn1', '24.cp1', '24.dc1'], 'contains': ['96.bs1', '96.bv1', '96.bw1'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [9934, -1, 8486, -1], 'generators': [2438997174, 32257577935, 288, 27430179840], 'label': '768.1084399.48.dc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.dc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590724
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.e1', '24.bn1', '24.bw1', '24.cn1', '24.cp1'], 'contains': ['96.bt1', '96.bu1', '96.bv1', '96.ce1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [9993, -1, 8646, -1], 'generators': [288, 15335757414, 27430179840, 32736493855], 'label': '768.1084399.48.dd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.dd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590725
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bo1', '24.bx1', '24.ce1', '24.cn1', '24.cp1'], 'contains': ['96.bt1', '96.bw1', '96.bx1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [9708, -1, 8315, -1], 'generators': [32257577935, 288, 15335757414, 27430179840], 'label': '768.1084399.48.de1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '48.de1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.de1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590726
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': ['64.a1'], 'conjugacy_class_count': 2, 'contained_in': ['4.c1', '6.b1', '6.d1'], 'contains': ['24.f1', '24.cs1', '24.cu1', '24.dq1', '24.dr1'], 'core': '12.d1', 'coset_action_label': None, 'count': 2, 'diagramx': [8890, 6078, 8918, 5005], 'generators': [288, 1959919920, 32736493855, 20717187120, 2918003760, 27909186480], 'label': '768.1084399.12.d1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.d1', 'normal_contained_in': ['4.c1', '6.b1', '6.d1'], 'normal_contains': ['24.f1', '48.c1'], 'normalizer': '1.a1', 'old_label': '12.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590727
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1', '24.bp1', '24.cc1', '24.cq1', '24.cr1', '24.cs1', '24.ct1', '24.cu1', '24.cv1'], 'contains': ['96.c1', '96.bq1', '96.bq2', '96.dj1', '96.dj2', '96.ec1', '96.ef1'], 'core': '96.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [8926, -1, 6761, -1], 'generators': [288, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.48.df1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.df1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.df1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590728
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.bp1', '24.cd1', '24.cq1', '24.cw1', '24.cx1', '24.cy1', '24.cz1', '24.da1'], 'contains': ['96.c1', '96.br1', '96.br2', '96.dk1', '96.dk2', '96.ed1'], 'core': '96.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [8962, -1, 6842, -1], 'generators': [288, 21196264609, 27430179840, 20717187120], 'label': '768.1084399.48.dg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.dg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590729
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bq1', '24.cc1', '24.cd1', '24.cr1', '24.cw1', '24.db1', '24.dc1', '24.dd1'], 'contains': ['96.c1', '96.bs1', '96.bs2', '96.dl1', '96.dl2', '96.ee1'], 'core': '96.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [7086, -1, 6531, -1], 'generators': [288, 27430179840, 20717187120, 12936672054], 'label': '768.1084399.48.dh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.dh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590730
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.br1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.br1', '24.ce1', '24.cs1', '24.cu1', '24.cx1', '24.cz1', '24.dc1', '24.dd1'], 'contains': ['96.c1', '96.bw1', '96.dn1', '96.eh1'], 'core': '96.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [9529, -1, 9010, -1], 'generators': [38973675295, 288, 27430179840, 20717187120], 'label': '768.1084399.48.di1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.di1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.di1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590731
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.bs1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bs1', '24.ce1', '24.ct1', '24.cv1', '24.cy1', '24.da1', '24.db1', '24.dd1'], 'contains': ['96.c1', '96.bx1', '96.do1'], 'core': '96.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [9486, -1, 7716, -1], 'generators': [6917667270, 288, 27430179840, 20717187120], 'label': '768.1084399.48.dj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.dj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590819
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.er1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.f1', '24.s1', '24.di1'], 'contains': ['96.dj1', '96.dj2', '96.ds1', '96.ds2', '96.du1', '96.el1', '96.el2', '96.el3'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5135, -1, 3362, -1], 'generators': [1959919920, 27909186768, 20717187120, 2918003760], 'label': '768.1084399.48.er1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.er1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.er1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590732
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.bt1', '24.bu1', '24.by1', '24.cf2', '24.cf3', '24.cm1', '24.cm2'], 'contains': ['96.by2', '96.bz2', '96.ca2', '96.cc1', '96.cc2', '96.cd1', '96.cd2', '96.ep6', '96.es4'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [6965, -1, 3690, -1], 'generators': [14377673809, 1959919920, 288, 27430179894], 'label': '768.1084399.48.dk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590733
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dk2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bt1', '24.bu3', '24.by2', '24.cf1', '24.cm2'], 'contains': ['96.by3', '96.bz1', '96.ca1', '96.cc2', '96.cd2', '96.ep3', '96.es7'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6531, -1, 3329, -1], 'generators': [19239897654, 1959919920, 288, 21196264609], 'label': '768.1084399.48.dk2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dk2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dk2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590734
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dk3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.bt2', '24.bu1', '24.by2', '24.cf2', '24.cf3', '24.cm2'], 'contains': ['96.by2', '96.bz1', '96.ca3', '96.cc2', '96.cd1', '96.cd3', '96.ep2', '96.es5'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [6794, -1, 3526, -1], 'generators': [14377673809, 1959919920, 288, 26951102694], 'label': '768.1084399.48.dk3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dk3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dk3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590735
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dk4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.bt2', '24.bu2', '24.by1', '24.cf1', '24.cf3', '24.cm1', '24.cm2'], 'contains': ['96.by3', '96.bz2', '96.ca3', '96.cc1', '96.cc2', '96.cd1', '96.cd3', '96.ep4', '96.es3'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [6976, -1, 3657, -1], 'generators': [1959919920, 288, 15335757414, 21196264609], 'label': '768.1084399.48.dk4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dk4', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dk4', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590736
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dk5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.bt2', '24.bu3', '24.by1', '24.cf2', '24.cm1', '24.cm2'], 'contains': ['96.by2', '96.bz2', '96.ca1', '96.cc1', '96.cc2', '96.cd3', '96.ep7', '96.es2'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [6944, -1, 3559, -1], 'generators': [14377673809, 1959919920, 288, 15335757414], 'label': '768.1084399.48.dk5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dk5', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dk5', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590737
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': ['64.a1', '64.b1'], 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '6.c1', '6.d1'], 'contains': ['24.f1', '24.ct1', '24.cv1'], 'core': '12.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [8913, 3396, 6673, 7265], 'generators': [288, 1959919920, 20717187120, 44602755270, 2918003760, 27909186480], 'label': '768.1084399.12.e1', 'mobius_quo': 0, 'mobius_sub': -2, 'normal_closure': '12.e1', 'normal_contained_in': ['4.d1', '6.c1', '6.d1'], 'normal_contains': ['24.f1', '48.d1'], 'normalizer': '1.a1', 'old_label': '12.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590738
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dk6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.bt3', '24.bu1', '24.by1', '24.cf1', '24.cf2', '24.cm1', '24.cm2'], 'contains': ['96.by1', '96.bz2', '96.ca3', '96.cc1', '96.cc2', '96.cd2', '96.cd3', '96.ep5', '96.es1'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [6934, -1, 3625, -1], 'generators': [1959919920, 288, 15335757414, 2918004049], 'label': '768.1084399.48.dk6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dk6', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dk6', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590739
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dk7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bt3', '24.bu2', '24.by2', '24.cf2', '24.cm2'], 'contains': ['96.by1', '96.bz1', '96.ca2', '96.cc2', '96.cd3', '96.ep1', '96.es6'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6516, -1, 3197, -1], 'generators': [19239897654, 1959919920, 288, 2918004049], 'label': '768.1084399.48.dk7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dk7', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dk7', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590740
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bt1', '24.bu2', '24.ca1', '24.cf2', '24.co1'], 'contains': ['96.bz1', '96.bz2', '96.ca1', '96.ca2', '96.cb2', '96.eq3', '96.eq6', '96.er1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [4762, -1, 684, -1], 'generators': [14856750774, 19239897600, 288, 2918003760], 'label': '768.1084399.48.dl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590741
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dl2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.bt2', '24.bu1', '24.ca1', '24.cf1', '24.cf2', '24.co1'], 'contains': ['96.bz1', '96.bz2', '96.ca1', '96.ca3', '96.cb2', '96.eq2', '96.eq4', '96.eq7', '96.er2'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [4772, -1, 1210, -1], 'generators': [19239897600, 288, 15335757414, 2918003760], 'label': '768.1084399.48.dl2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dl2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dl2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590742
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dl3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.bt3', '24.bu3', '24.ca1', '24.cf3', '24.co1'], 'contains': ['96.bz1', '96.bz2', '96.ca2', '96.ca3', '96.cb1', '96.eq1', '96.eq5', '96.er3'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [4750, -1, 618, -1], 'generators': [1959919920, 288, 15335757414, 2918003760], 'label': '768.1084399.48.dl3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dl3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dl3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590743
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.g1', '24.i1', '24.bu3', '24.de2', '24.dg2'], 'contains': ['96.cf1', '96.cg1', '96.cq2', '96.cr1', '96.ct2', '96.cv1', '96.cw1', '96.cz1', '96.ep3', '96.eq1', '96.es2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1836, -1, 848, -1], 'generators': [14856751009, 15335757414, 2918003760, 1959920208], 'label': '768.1084399.48.dm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590744
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dm2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.g1', '24.i2', '24.bu1', '24.de2', '24.dg1', '24.dg2'], 'contains': ['96.cf1', '96.cg1', '96.cq3', '96.cr3', '96.ct1', '96.ct2', '96.cv2', '96.cw2', '96.cz1', '96.cz2', '96.ep2', '96.eq2', '96.es1', '96.es4'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2039, -1, 1045, -1], 'generators': [15335757361, 15335757414, 19239897888, 2918003760], 'label': '768.1084399.48.dm2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dm2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dm2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590745
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dm3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.g1', '24.i3', '24.bu2', '24.de2', '24.dg3'], 'contains': ['96.cf1', '96.cg1', '96.cq1', '96.cr2', '96.ct3', '96.cv1', '96.cw3', '96.cz2', '96.ep1', '96.eq3', '96.es3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1992, -1, 914, -1], 'generators': [14856751009, 2918004048, 14856750984, 19239897888], 'label': '768.1084399.48.dm3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dm3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dm3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590746
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dm4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.g2', '24.i1', '24.bu1', '24.de1', '24.de2', '24.dg1', '24.dg3'], 'contains': ['96.cf2', '96.cg1', '96.cg2', '96.cq3', '96.cr2', '96.ct1', '96.ct2', '96.cv3', '96.cw4', '96.cz1', '96.cz3', '96.ep6', '96.eq4', '96.es1', '96.es5'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2143, -1, 1275, -1], 'generators': [19239897654, 2918004048, 19239897888, 20717187409], 'label': '768.1084399.48.dm4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dm4', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dm4', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590747
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dm5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.g2', '24.i2', '24.bu2', '24.de1', '24.de2', '24.dg1', '24.dg2'], 'contains': ['96.cf2', '96.cg1', '96.cg2', '96.cq2', '96.cr3', '96.ct1', '96.ct3', '96.cv3', '96.cw5', '96.cz2', '96.cz4', '96.ep4', '96.eq6', '96.es3', '96.es6'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2471, -1, 1473, -1], 'generators': [14856751009, 14856750984, 19239897888, 2918003760], 'label': '768.1084399.48.dm5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dm5', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dm5', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590748
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['6.a1'], 'contains': ['24.g1', '24.g2', '24.h1', '24.i1', '24.i2', '24.i3', '24.j1', '24.j2', '24.m1', '24.m2', '24.n1', '24.o1', '24.o2', '24.o3', '24.p1', '24.p2', '24.s1', '24.de1', '24.de2', '24.df1', '24.dg1', '24.dg2', '24.dg3', '24.dh1', '24.dh2', '24.di1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2971, -1, 2196, -1], 'generators': [1959919920, 27909186768, 15335757414, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.12.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '12.f1', 'projective_image': None, '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': None}
  • id: 59590749
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dm6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.g2', '24.i2', '24.bu3', '24.de1', '24.de2', '24.dg2', '24.dg3'], 'contains': ['96.cf2', '96.cg1', '96.cg2', '96.cq3', '96.cr1', '96.ct2', '96.ct3', '96.cv4', '96.cw6', '96.cz1', '96.cz4', '96.ep7', '96.eq5', '96.es2', '96.es7'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2441, -1, 1177, -1], 'generators': [19239897654, 20717187409, 2918003760, 1959920208], 'label': '768.1084399.48.dm6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dm6', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dm6', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590750
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dm7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.g2', '24.i3', '24.bu1', '24.de1', '24.de2', '24.dg2'], 'contains': ['96.cf2', '96.cg1', '96.cg2', '96.cq1', '96.cr3', '96.ct2', '96.cv4', '96.cw7', '96.cz2', '96.cz3', '96.ep5', '96.eq7', '96.es4', '96.es5'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2356, -1, 1308, -1], 'generators': [19239897654, 19239897888, 20717187409, 2918003760], 'label': '768.1084399.48.dm7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dm7', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dm7', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590751
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.h1', '24.i1', '24.bu2', '24.df1', '24.dg2'], 'contains': ['96.cf1', '96.cf2', '96.cq1', '96.cq2', '96.cs2', '96.cv1', '96.cv3', '96.cx1', '96.ep1', '96.ep4', '96.er1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [674, -1, 782, -1], 'generators': [14856750774, 19239897600, 14856751009, 2918003760], 'label': '768.1084399.48.dn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590752
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dn2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.h1', '24.i2', '24.bu1', '24.df1', '24.dg2', '24.dg3'], 'contains': ['96.cf1', '96.cf2', '96.cq1', '96.cq3', '96.cs2', '96.cv2', '96.cv3', '96.cv4', '96.cx2', '96.ep2', '96.ep5', '96.ep6', '96.er2'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [876, -1, 881, -1], 'generators': [19239897600, 19239897654, 20717187409, 2918003760], 'label': '768.1084399.48.dn2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dn2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dn2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590753
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dn3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.h1', '24.i3', '24.bu3', '24.df1', '24.dg1'], 'contains': ['96.cf1', '96.cf2', '96.cq2', '96.cq3', '96.cs1', '96.cv1', '96.cv4', '96.cx3', '96.ep3', '96.ep7', '96.er3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [865, -1, 815, -1], 'generators': [19239897654, 1959919920, 20717187409, 2918003760], 'label': '768.1084399.48.dn3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dn3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dn3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590754
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.do1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.j1', '24.k1', '24.bv1', '24.de1', '24.df1'], 'contains': ['96.cf2', '96.ch1', '96.ck1', '96.cl1', '96.cu2', '96.da1', '96.dc1', '96.dq1', '96.dv1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6475, -1, 5660, -1], 'generators': [15335757360, 15335757414, 20717187409, 2918003760], 'label': '768.1084399.48.do1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.do1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.do1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590755
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.do2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.j2', '24.k1', '24.bv2', '24.de2', '24.df1'], 'contains': ['96.cf1', '96.cf2', '96.ch1', '96.ck2', '96.cl2', '96.cu1', '96.cu2', '96.da2', '96.dc2', '96.dq2', '96.dv2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [4793, -1, 4494, -1], 'generators': [15335757414, 27430179840, 20717187409, 2918003760], 'label': '768.1084399.48.do2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.do2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.do2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590756
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.j1', '24.l1', '24.bv1', '24.de2'], 'contains': ['96.cg1', '96.ch1', '96.cl1', '96.cm2', '96.cy2', '96.db1', '96.dc1', '96.dv1', '96.dz1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6554, -1, 5890, -1], 'generators': [2918004048, 15335757360, 15335757414, 20717187409], 'label': '768.1084399.48.dp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590757
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dp2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.j2', '24.l1', '24.bv2', '24.de1', '24.de2'], 'contains': ['96.cg1', '96.cg2', '96.ch1', '96.cl2', '96.cm1', '96.cy1', '96.cy2', '96.db2', '96.dc2', '96.dv2', '96.dz2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [4815, -1, 4805, -1], 'generators': [2918004048, 15335757414, 27430179840, 20717187409], 'label': '768.1084399.48.dp2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dp2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dp2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590758
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.j1', '24.j2', '24.bv2', '24.dg1', '24.dg2', '24.dg3'], 'contains': ['96.cf1', '96.cf2', '96.cg1', '96.cg2', '96.ci1', '96.co1', '96.cp1', '96.cu1', '96.cu2', '96.cy1', '96.cy2', '96.df1', '96.dg1', '96.ej1', '96.em1'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [4344, -1, 3804, -1], 'generators': [15335757414, 20717187409, 2918003760, 27430180128], 'label': '768.1084399.48.dq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590759
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.a1'], 'contains': ['24.g1', '24.g2', '24.k1', '24.l1', '24.m1', '24.m2', '24.v1', '24.y1', '24.z1', '24.de1', '24.de2', '24.dj1', '24.dk1', '24.dm1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [4180, -1, 3690, -1], 'generators': [27909186768, 15335757414, 27430179840, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.12.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '12.g1', 'projective_image': None, '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': None}
  • id: 59590760
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.j2', '24.bv1', '24.dg1', '24.dg2', '24.dg3'], 'contains': ['96.cf2', '96.cg1', '96.ci1', '96.co2', '96.cp2', '96.cu2', '96.cy2', '96.df2', '96.dg2', '96.ej2', '96.em2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [4783, -1, 3968, -1], 'generators': [15335757414, 20717187409, 2918003760, 15335757648], 'label': '768.1084399.48.dq2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dq2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dq2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590761
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.j1', '24.cc1', '24.dh1', '24.di1'], 'contains': ['96.cj1', '96.ck1', '96.cm2', '96.co1', '96.dj1', '96.dl1', '96.dq1', '96.dz1', '96.ej1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6490, -1, 5529, -1], 'generators': [15335757360, 15335757414, 2918003760, 20717187408], 'label': '768.1084399.48.dr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dr1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590762
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dr2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.j2', '24.cc1', '24.dh2', '24.di1'], 'contains': ['96.cj1', '96.ck2', '96.cm1', '96.co1', '96.co2', '96.dj2', '96.dl2', '96.dq2', '96.dz2', '96.ej1', '96.ej2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4893, -1, 4363, -1], 'generators': [15335757414, 27430179840, 2918003760, 20717187408], 'label': '768.1084399.48.dr2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dr2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dr2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590763
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ds1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.j1', '24.cd1', '24.dh2'], 'contains': ['96.cj1', '96.cl1', '96.cp1', '96.dk1', '96.dl1', '96.dv1', '96.em1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6565, -1, 5923, -1], 'generators': [21675271249, 15335757414, 27430179840, 20717187408], 'label': '768.1084399.48.ds1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ds1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ds1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590764
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ds2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.j2', '24.cd1', '24.dh1', '24.dh2'], 'contains': ['96.cj1', '96.cl2', '96.cp1', '96.cp2', '96.dk2', '96.dl2', '96.dv2', '96.em1', '96.em2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5086, -1, 5101, -1], 'generators': [15335757414, 27430179840, 21196264609, 20717187408], 'label': '768.1084399.48.ds2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ds2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ds2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590765
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.g1', '24.h1', '24.by2', '24.de1', '24.df1', '24.dh1', '24.dj1'], 'contains': ['96.ck1', '96.cl2', '96.cq1', '96.cq2', '96.cq3', '96.dp1', '96.dr1', '96.dw2', '96.ep1', '96.ep2', '96.ep3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [943, -1, 1374, -1], 'generators': [14856751009, 15335757360, 15335757414, 2918003760], 'label': '768.1084399.48.dt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dt1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590766
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dt2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.g2', '24.h1', '24.by1', '24.de2', '24.df1', '24.dh2', '24.dj1'], 'contains': ['96.ck2', '96.cl1', '96.cl2', '96.cq1', '96.cq2', '96.cq3', '96.dp2', '96.dr2', '96.dw1', '96.dw2', '96.ep4', '96.ep5', '96.ep6', '96.ep7'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [1964, -1, 2573, -1], 'generators': [14856751009, 27430179840, 27430179894, 2918003760], 'label': '768.1084399.48.dt2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dt2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dt2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590767
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.du1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.g1', '24.ca1', '24.de1', '24.di1', '24.dk1'], 'contains': ['96.ck1', '96.cm1', '96.cr1', '96.cr2', '96.cr3', '96.dr1', '96.ds1', '96.ea1', '96.eq1', '96.eq2', '96.eq3'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2538, -1, 355, -1], 'generators': [15335757360, 27909186768, 15335757414, 2918003760], 'label': '768.1084399.48.du1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.du1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.du1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590768
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.du2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.g2', '24.ca1', '24.de2', '24.di1', '24.dk1'], 'contains': ['96.ck2', '96.cm1', '96.cm2', '96.cr1', '96.cr2', '96.cr3', '96.dr2', '96.ds2', '96.ea1', '96.ea2', '96.eq4', '96.eq5', '96.eq6', '96.eq7'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3507, -1, 552, -1], 'generators': [27909186768, 27430179840, 27430179894, 2918003760], 'label': '768.1084399.48.du2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.du2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.du2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590769
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.h1', '24.ca1', '24.df1', '24.di1', '24.dl1'], 'contains': ['96.ck1', '96.ck2', '96.cs1', '96.cs2', '96.dr1', '96.dr2', '96.du1', '96.er1', '96.er2', '96.er3'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [821, -1, 289, -1], 'generators': [19239897654, 1959919920, 20717187120, 2918003760], 'label': '768.1084399.48.dv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590770
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '6.a1'], 'contains': ['24.a1', '24.h1', '24.k1', '24.n1', '24.v1', '24.df1', '24.dj1', '24.dl1'], 'core': '24.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [4142, -1, 3657, -1], 'generators': [1959919920, 15335757414, 20717187120, 20717187409, 2918003760, 27909186480], 'label': '768.1084399.12.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '12.h1', 'projective_image': None, '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': None}
  • id: 59590771
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.g1', '24.g2', '24.by1', '24.de1', '24.de2', '24.dh2', '24.dm1'], 'contains': ['96.cl1', '96.cl2', '96.cm1', '96.ct1', '96.ct2', '96.ct3', '96.dw1', '96.dw2', '96.dy1', '96.ea1', '96.es1', '96.es2', '96.es3', '96.es4'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [3518, -1, 2704, -1], 'generators': [14856751009, 2918004048, 27430179840, 27430179894], 'label': '768.1084399.48.dw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590772
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dw2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.g2', '24.by2', '24.de2', '24.dh1', '24.dm1'], 'contains': ['96.cl2', '96.cm2', '96.ct1', '96.ct2', '96.ct3', '96.dw2', '96.dy2', '96.ea2', '96.es5', '96.es6', '96.es7'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3622, -1, 2737, -1], 'generators': [14856751009, 2918004048, 15335757360, 15335757414], 'label': '768.1084399.48.dw2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dw2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dw2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590773
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.k1', '24.cc1', '24.dj1', '24.dk1', '24.dl1'], 'contains': ['96.ck1', '96.ck2', '96.cn1', '96.dq1', '96.dq2', '96.ec1', '96.ee1'], 'core': '192.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [6505, -1, 5759, -1], 'generators': [15335757414, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.48.dx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590774
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.k1', '24.l1', '24.cd1', '24.dj1', '24.dm1'], 'contains': ['96.cl1', '96.cl2', '96.cn1', '96.dv1', '96.dv2', '96.ed1', '96.ee1'], 'core': '192.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [6575, -1, 6153, -1], 'generators': [27430179840, 21196264609, 15335757414, 20717187120], 'label': '768.1084399.48.dy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dy1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590775
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.dz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.l1', '24.cc1', '24.dk1', '24.dm1'], 'contains': ['96.cm1', '96.cm2', '96.cn1', '96.dz1', '96.dz2', '96.ee1', '96.ef1'], 'core': '192.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [6586, -1, 5956, -1], 'generators': [2918004048, 15335757414, 27430179840, 20717187120], 'label': '768.1084399.48.dz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.dz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.dz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590776
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ea1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.i1', '24.i2', '24.by1', '24.dg1', '24.dg2', '24.dh1', '24.dh2'], 'contains': ['96.co1', '96.cp1', '96.cp2', '96.cq2', '96.cq3', '96.ct1', '96.ct2', '96.ei1', '96.ek1', '96.en1', '96.en2', '96.ep4', '96.ep6', '96.es1', '96.es2'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2165, -1, 1736, -1], 'generators': [27430179894, 19239897601, 2918003760, 27430180128], 'label': '768.1084399.48.ea1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ea1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ea1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590777
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ea2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.i1', '24.i3', '24.by2', '24.dg2', '24.dh2'], 'contains': ['96.co2', '96.cp1', '96.cq1', '96.cq2', '96.ct2', '96.ei2', '96.ek2', '96.en1', '96.ep1', '96.ep3', '96.es5'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1512, -1, 947, -1], 'generators': [14856751009, 15335757414, 2918003760, 15335757648], 'label': '768.1084399.48.ea2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ea2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ea2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590778
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ea3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.i2', '24.i3', '24.by1', '24.dg2', '24.dg3', '24.dh1', '24.dh2'], 'contains': ['96.co1', '96.cp1', '96.cp2', '96.cq1', '96.cq3', '96.ct2', '96.ct3', '96.ei3', '96.ek3', '96.en1', '96.en2', '96.ep5', '96.ep7', '96.es3', '96.es4'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2304, -1, 1768, -1], 'generators': [27430179894, 1959919921, 2918003760, 27430180128], 'label': '768.1084399.48.ea3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ea3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ea3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590779
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ea4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.i2', '24.by2', '24.dg1', '24.dg3', '24.dh2'], 'contains': ['96.co2', '96.cp1', '96.cq3', '96.ct1', '96.ct3', '96.ei4', '96.ek4', '96.en1', '96.ep2', '96.es6', '96.es7'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2889, -1, 1637, -1], 'generators': [15335757414, 19239897601, 2918003760, 15335757648], 'label': '768.1084399.48.ea4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ea4', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ea4', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590780
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.eb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.i1', '24.ca1', '24.dg3', '24.di1'], 'contains': ['96.co1', '96.co2', '96.cr1', '96.cr2', '96.cs2', '96.ek1', '96.ek2', '96.el1', '96.eq1', '96.eq4', '96.er1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1943, -1, 191, -1], 'generators': [19239897654, 21196264320, 1959919920, 20717187408], 'label': '768.1084399.48.eb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.eb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590781
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '2.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1', 'complements': ['384.c1', '384.k1', '384.l1', '384.i1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.d1', '6.c1', '8.f1'], 'core': '2.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [7556, 1618, 6606, 5615], 'generators': [79914240, 288, 1959919920, 20717187120, 44602755270, 20717187409, 2918003760, 27909186480], 'label': '768.1084399.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.d1', '6.c1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590782
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['6.g1'], 'contains': ['24.p1', '24.q1', '24.r1', '24.t1', '24.u1', '24.dn1', '24.do1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9023, -1, 6874, -1], 'generators': [19239897654, 15335757360, 20717187409, 2918003760, 6438625326, 20717187408], 'label': '768.1084399.12.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '12.i1', 'projective_image': None, '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': None}
  • id: 59590783
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.eb2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.i2', '24.ca1', '24.dg2', '24.di1'], 'contains': ['96.co1', '96.co2', '96.cr1', '96.cr3', '96.cs2', '96.ek1', '96.ek3', '96.ek4', '96.el2', '96.eq2', '96.eq5', '96.eq6', '96.er2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2273, -1, 256, -1], 'generators': [19239897600, 19239897654, 2918003760, 20717187408], 'label': '768.1084399.48.eb2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.eb2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eb2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590784
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.eb3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.i3', '24.ca1', '24.dg1', '24.di1'], 'contains': ['96.co1', '96.co2', '96.cr2', '96.cr3', '96.cs1', '96.ek2', '96.ek3', '96.el3', '96.eq3', '96.eq7', '96.er3'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2154, -1, 223, -1], 'generators': [19239897654, 1959919920, 2918003760, 20717187408], 'label': '768.1084399.48.eb3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.eb3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eb3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590785
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ec1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.m1', '24.o1', '24.cf3', '24.de2', '24.dg2'], 'contains': ['96.cu1', '96.cv2', '96.cw1', '96.cy2', '96.cz2', '96.ep4', '96.eq5', '96.es4', '96.es5'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3227, -1, 2196, -1], 'generators': [14856751009, 27430179894, 2918003760, 1959920208], 'label': '768.1084399.48.ec1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ec1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ec1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590786
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ec2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.m1', '24.o2', '24.cf1', '24.de2', '24.dg3'], 'contains': ['96.cu1', '96.cv2', '96.cw3', '96.cy2', '96.cz1', '96.ep5', '96.eq4', '96.es3', '96.es7'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3328, -1, 2064, -1], 'generators': [14856751009, 2918004048, 15335757414, 19239897888], 'label': '768.1084399.48.ec2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ec2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ec2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590787
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ec3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.m1', '24.o3', '24.cf2', '24.de2', '24.dg1', '24.dg2'], 'contains': ['96.cu1', '96.cv1', '96.cw2', '96.cy2', '96.cz1', '96.cz2', '96.ep6', '96.ep7', '96.eq6', '96.eq7', '96.es1', '96.es2', '96.es5', '96.es6'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [3029, -1, 1703, -1], 'generators': [15335757361, 14856750984, 19239897888, 2918003760], 'label': '768.1084399.48.ec3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ec3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ec3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590788
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ec4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.m2', '24.o1', '24.cf2', '24.de1', '24.de2', '24.dg1', '24.dg3'], 'contains': ['96.cu2', '96.cv4', '96.cw4', '96.cy1', '96.cy2', '96.cz2', '96.cz4', '96.ep2', '96.ep7', '96.eq3', '96.eq4', '96.es1', '96.es2', '96.es4', '96.es6'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [3164, -1, 1933, -1], 'generators': [2918004048, 15335757414, 19239897888, 20717187409], 'label': '768.1084399.48.ec4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ec4', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ec4', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590789
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ec5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.m2', '24.o2', '24.cf2', '24.de1', '24.de2', '24.dg2'], 'contains': ['96.cu2', '96.cv3', '96.cw7', '96.cy1', '96.cy2', '96.cz1', '96.cz4', '96.ep1', '96.ep5', '96.eq2', '96.eq6', '96.es2', '96.es4', '96.es5'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2804, -1, 1900, -1], 'generators': [15335757414, 19239897888, 20717187409, 2918003760], 'label': '768.1084399.48.ec5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ec5', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ec5', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590790
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ec6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.m2', '24.o3', '24.cf1', '24.de1', '24.de2', '24.dg1', '24.dg2'], 'contains': ['96.cu2', '96.cv4', '96.cw5', '96.cy1', '96.cy2', '96.cz1', '96.cz3', '96.ep3', '96.ep4', '96.eq2', '96.eq7', '96.es1', '96.es3', '96.es7'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [3110, -1, 1867, -1], 'generators': [14856751009, 15335757414, 19239897888, 2918003760], 'label': '768.1084399.48.ec6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ec6', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ec6', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590791
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ec7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.m2', '24.o3', '24.cf3', '24.de1', '24.de2', '24.dg2', '24.dg3'], 'contains': ['96.cu2', '96.cv3', '96.cw6', '96.cy1', '96.cy2', '96.cz2', '96.cz3', '96.ep2', '96.ep6', '96.eq1', '96.eq5', '96.es3', '96.es4', '96.es5'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2842, -1, 1834, -1], 'generators': [15335757414, 20717187409, 2918003760, 1959920208], 'label': '768.1084399.48.ec7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ec7', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ec7', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590792
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ed1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.n1', '24.o1', '24.cf1', '24.df1', '24.dg2'], 'contains': ['96.cu1', '96.cu2', '96.cv2', '96.cv4', '96.cx1', '96.ep3', '96.ep4', '96.ep5', '96.er2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1872, -1, 1538, -1], 'generators': [19239897600, 14856751009, 15335757414, 2918003760], 'label': '768.1084399.48.ed1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ed1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ed1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590793
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.b1'], 'contains': ['24.w1', '24.x1', '24.y1', '24.ba1', '24.bb1', '24.dp1', '24.dq1', '24.ds1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8991, -1, 9618, -1], 'generators': [27909186768, 27430179840, 20717187120, 20717187409, 2918003760, 6438625326], 'label': '768.1084399.12.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '12.j1', 'projective_image': None, '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': None}
  • id: 59590794
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ed2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.n1', '24.o2', '24.cf3', '24.df1', '24.dg1'], 'contains': ['96.cu1', '96.cu2', '96.cv2', '96.cv3', '96.cx3', '96.ep2', '96.ep4', '96.ep6', '96.er3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1893, -1, 1670, -1], 'generators': [1959919920, 15335757414, 20717187409, 2918003760], 'label': '768.1084399.48.ed2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ed2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ed2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590795
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ed3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.n1', '24.o3', '24.cf2', '24.df1', '24.dg2', '24.dg3'], 'contains': ['96.cu1', '96.cu2', '96.cv1', '96.cv3', '96.cv4', '96.cx2', '96.ep1', '96.ep2', '96.ep5', '96.ep6', '96.ep7', '96.er1', '96.er2'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [1502, -1, 1012, -1], 'generators': [19239897600, 15335757414, 20717187409, 2918003760], 'label': '768.1084399.48.ed3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ed3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ed3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590796
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ee1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.p1', '24.v1', '24.cg1', '24.de1', '24.df1'], 'contains': ['96.cv3', '96.cv4', '96.da1', '96.dc2', '96.dr1', '96.dw1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1953, -1, 2605, -1], 'generators': [19239897654, 15335757360, 20717187409, 2918003760], 'label': '768.1084399.48.ee1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ee1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ee1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590797
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ee2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.p2', '24.v1', '24.cg2', '24.de2', '24.df1'], 'contains': ['96.cv1', '96.cv2', '96.cv3', '96.cv4', '96.da2', '96.dc1', '96.dc2', '96.dr2', '96.dw2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2283, -1, 2638, -1], 'generators': [19239897654, 27430179840, 20717187409, 2918003760], 'label': '768.1084399.48.ee2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ee2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ee2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590798
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ef1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.q1', '24.w1', '24.ch1'], 'contains': ['96.da1', '96.dd1', '96.de1', '96.dt1', '96.dx1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9554, -1, 9921, -1], 'generators': [15335757360, 20717187409, 2918003760, 6438625326], 'label': '768.1084399.48.ef1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.ef1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ef1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590799
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.eg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.s1', '24.y1', '24.cj1', '24.de1'], 'contains': ['96.cw4', '96.cw5', '96.cw6', '96.cw7', '96.da1', '96.db2', '96.dp1', '96.ds1', '96.dy1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7778, -1, 5068, -1], 'generators': [15335757360, 27909186768, 20717187409, 2918003760], 'label': '768.1084399.48.eg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.eg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590800
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.eg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.s1', '24.y1', '24.cj1', '24.de2'], 'contains': ['96.cw1', '96.cw2', '96.cw3', '96.cw4', '96.cw5', '96.cw6', '96.cw7', '96.da2', '96.db1', '96.db2', '96.dp2', '96.ds2', '96.dy1', '96.dy2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7741, -1, 5036, -1], 'generators': [27909186768, 27430179840, 20717187409, 2918003760], 'label': '768.1084399.48.eg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.eg2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eg2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590801
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.eh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.a1', '24.s1', '24.cj1', '24.df1'], 'contains': ['96.cx1', '96.cx2', '96.cx3', '96.da1', '96.da2', '96.dp1', '96.dp2', '96.du1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4882, -1, 4608, -1], 'generators': [14856751009, 1959919920, 20717187120, 2918003760], 'label': '768.1084399.48.eh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.eh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590802
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ei1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.p1', '24.z1', '24.cg1', '24.de2'], 'contains': ['96.cz1', '96.cz2', '96.db1', '96.dc2', '96.dw1', '96.ea2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3645, -1, 2934, -1], 'generators': [19239897654, 2918004048, 15335757360, 20717187409], 'label': '768.1084399.48.ei1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ei1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ei1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590803
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ei2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.p2', '24.z1', '24.cg2', '24.de1', '24.de2'], 'contains': ['96.cz1', '96.cz2', '96.cz3', '96.cz4', '96.db2', '96.dc1', '96.dc2', '96.dw2', '96.ea1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3632, -1, 2868, -1], 'generators': [19239897654, 2918004048, 27430179840, 20717187409], 'label': '768.1084399.48.ei2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ei2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ei2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590804
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.f1', '6.b1'], 'contains': ['24.a1', '24.w1', '24.x1', '24.dp1', '24.dr1'], 'core': '24.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [8835, -1, 9201, -1], 'generators': [1959919920, 20717187120, 20717187409, 2918003760, 6438625326, 27909186480], 'label': '768.1084399.12.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '12.k1', 'projective_image': None, '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': None}
  • id: 59590805
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ej1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.q1', '24.ba1', '24.ch1'], 'contains': ['96.db1', '96.dd1', '96.de1', '96.dx1', '96.eb1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9572, -1, 9976, -1], 'generators': [2918004048, 15335757360, 20717187409, 6438625326], 'label': '768.1084399.48.ej1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '48.ej1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ej1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590806
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ek1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.p1', '24.p2', '24.cg2', '24.dg1', '24.dg2', '24.dg3'], 'contains': ['96.cv1', '96.cv2', '96.cv3', '96.cv4', '96.cz1', '96.cz2', '96.cz3', '96.cz4', '96.df1', '96.dg1', '96.dg2', '96.ek1', '96.ek3', '96.en1'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2315, -1, 1440, -1], 'generators': [14856750984, 20717187409, 2918003760, 27430180128], 'label': '768.1084399.48.ek1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ek1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ek1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590807
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ek2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.p2', '24.cg1', '24.dg1', '24.dg2', '24.dg3'], 'contains': ['96.cv3', '96.cv4', '96.cz1', '96.cz2', '96.df2', '96.dg1', '96.ek2', '96.ek4', '96.en2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2451, -1, 1243, -1], 'generators': [19239897654, 20717187409, 2918003760, 15335757648], 'label': '768.1084399.48.ek2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ek2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ek2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590808
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.el1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.s1', '24.cj1', '24.dg1'], 'contains': ['96.cw2', '96.cw4', '96.cw5', '96.cx3', '96.df1', '96.df2', '96.ei1', '96.ei4', '96.el3'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7752, -1, 4297, -1], 'generators': [14856751009, 1959919920, 2918003760, 20717187408], 'label': '768.1084399.48.el1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.el1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.el1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590809
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.el2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.s1', '24.cj1', '24.dg2'], 'contains': ['96.cw1', '96.cw2', '96.cw5', '96.cw6', '96.cw7', '96.cx1', '96.cx2', '96.df1', '96.df2', '96.ei1', '96.ei2', '96.ei3', '96.el2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7522, -1, 4166, -1], 'generators': [14856751009, 19239897600, 2918003760, 20717187408], 'label': '768.1084399.48.el2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.el2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.el2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590810
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.el3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.s1', '24.cj1', '24.dg3'], 'contains': ['96.cw3', '96.cw4', '96.cw6', '96.cx2', '96.df1', '96.df2', '96.ei3', '96.ei4', '96.el1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7564, -1, 4264, -1], 'generators': [14856751009, 21196264320, 1959919920, 20717187408], 'label': '768.1084399.48.el3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.el3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.el3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590811
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.em1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.t1', '24.ck1'], 'contains': ['96.dg2', '96.dh1', '96.di1', '96.eo1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [9259, -1, 7830, -1], 'generators': [14377673784, 20717187409, 6438625326, 27430180128], 'label': '768.1084399.48.em1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.w1', 'old_label': '48.em1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.em1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590812
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.en1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.s1', '24.cq1', '24.dh1'], 'contains': ['96.dj1', '96.dk2', '96.dp1', '96.dy2', '96.ei1', '96.ei3'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8215, -1, 5397, -1], 'generators': [14856751009, 15335757360, 2918003760, 20717187408], 'label': '768.1084399.48.en1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.en1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.en1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590813
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.en2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.s1', '24.cq1', '24.dh2'], 'contains': ['96.dj2', '96.dk1', '96.dk2', '96.dp2', '96.dy1', '96.ei1', '96.ei2', '96.ei3', '96.ei4'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8147, -1, 5331, -1], 'generators': [14856751009, 27430179840, 2918003760, 20717187408], 'label': '768.1084399.48.en2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.en2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.en2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590814
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.eo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.p1', '24.cr1', '24.dh1', '24.di1', '24.dn1'], 'contains': ['96.dj1', '96.dl2', '96.dr1', '96.ea2', '96.ek1', '96.ek3'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3789, -1, 2244, -1], 'generators': [19239897654, 15335757360, 2918003760, 20717187408], 'label': '768.1084399.48.eo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.eo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eo1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590815
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.e1'], 'contains': ['24.bc1', '24.bd1', '24.be1', '24.bi1', '24.bj1', '24.bl1', '24.bm1', '24.bz1', '24.cb1'], 'core': '96.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9367, -1, 8029, -1], 'generators': [15335757360, 288, 15335757414, 15335757649, 2918003760, 6438625326], 'label': '768.1084399.12.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '12.l1', 'projective_image': None, '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': None}
  • id: 59590816
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.eo2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.p2', '24.cr1', '24.dh2', '24.di1'], 'contains': ['96.dj2', '96.dl1', '96.dl2', '96.dr2', '96.ea1', '96.ek1', '96.ek2', '96.ek3', '96.ek4'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3684, -1, 1341, -1], 'generators': [19239897654, 27430179840, 2918003760, 20717187408], 'label': '768.1084399.48.eo2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.eo2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eo2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590817
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ep1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.q1', '24.cs1', '24.dn1'], 'contains': ['96.dj1', '96.dm1', '96.dn1', '96.dt1', '96.eb1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9590, -1, 9350, -1], 'generators': [15335757360, 32736493855, 2918003760, 20717187408], 'label': '768.1084399.48.ep1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '48.ep1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ep1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590818
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.eq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.r1', '24.cv1', '24.dn1'], 'contains': ['96.dj1', '96.do1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9022, -1, 7454, -1], 'generators': [15335757360, 7396583190, 2918003760, 20717187408], 'label': '768.1084399.48.eq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '48.eq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590820
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.es1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.p1', '24.cw1', '24.dh2', '24.do1'], 'contains': ['96.dk1', '96.dl2', '96.dw1', '96.en1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4207, -1, 4429, -1], 'generators': [21675271249, 27430179840, 12936672054, 20717187408], 'label': '768.1084399.48.es1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.es1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.es1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590821
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.es2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.p2', '24.cw1', '24.dh1', '24.dh2'], 'contains': ['96.dk2', '96.dl1', '96.dl2', '96.dw2', '96.en1', '96.en2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3778, -1, 3592, -1], 'generators': [14856750774, 27430179840, 21196264609, 20717187408], 'label': '768.1084399.48.es2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.es2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.es2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590822
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.et1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.q1', '24.cx1', '24.do1'], 'contains': ['96.dk1', '96.dm1', '96.dn1', '96.dx1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9607, -1, 9405, -1], 'generators': [21675271249, 27430179840, 6438625326, 20717187408], 'label': '768.1084399.48.et1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '48.et1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.et1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590823
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.eu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.r1', '24.da1', '24.do1'], 'contains': ['96.dk1', '96.do1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9037, -1, 7499, -1], 'generators': [38494759110, 21675271249, 27430179840, 20717187408], 'label': '768.1084399.48.eu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '48.eu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.eu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590824
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ev1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.t1', '24.db1', '24.dn1', '24.do1'], 'contains': ['96.dl2', '96.dm1', '96.do1', '96.eo1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [9221, -1, 7658, -1], 'generators': [27430179840, 32736493855, 12936672054, 20717187408], 'label': '768.1084399.48.ev1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '48.ev1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ev1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590825
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ew1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.u1', '24.dd1', '24.dn1', '24.do1'], 'contains': ['96.dl2', '96.dn1', '96.do1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [9205, -1, 7545, -1], 'generators': [45081671455, 27430179840, 12936672264, 20717187408], 'label': '768.1084399.48.ew1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '48.ew1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ew1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590826
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.a1'], 'contains': ['24.g1', '24.g2', '24.h1', '24.i1', '24.i2', '24.i3', '24.bc1', '24.bc2', '24.bf1', '24.bf2', '24.bh1', '24.bh2', '24.bk1', '24.bt1', '24.bt2', '24.bt3', '24.bu1', '24.bu2', '24.bu3', '24.by1', '24.by2', '24.ca1'], 'core': '96.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [5779, -1, 3164, -1], 'generators': [19239897654, 1959919920, 288, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.12.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '12.m1', 'projective_image': None, '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': None}
  • id: 59590827
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ex1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.m1', '24.n1', '24.cm1', '24.de1', '24.df1', '24.dh1', '24.dj1'], 'contains': ['96.dp1', '96.dq1', '96.dr1', '96.dv2', '96.dw2', '96.ep4', '96.ep5', '96.ep6', '96.ep7'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2624, -1, 2803, -1], 'generators': [14856751009, 15335757360, 20717187174, 2918003760], 'label': '768.1084399.48.ex1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ex1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ex1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590828
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ex2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.m2', '24.n1', '24.cm2', '24.de2', '24.df1', '24.dh2', '24.dj1'], 'contains': ['96.dp2', '96.dq2', '96.dr2', '96.dv1', '96.dv2', '96.dw1', '96.dw2', '96.ep1', '96.ep2', '96.ep3', '96.ep4', '96.ep5', '96.ep6', '96.ep7'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2294, -1, 2671, -1], 'generators': [14856751009, 15335757414, 27430179840, 2918003760], 'label': '768.1084399.48.ex2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ex2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ex2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590829
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ey1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.m1', '24.co1', '24.de1', '24.di1', '24.dk1'], 'contains': ['96.dq1', '96.dr1', '96.ds1', '96.dz2', '96.ea1', '96.eq4', '96.eq5', '96.eq6', '96.eq7'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3768, -1, 717, -1], 'generators': [15335757360, 27909186768, 20717187174, 2918003760], 'label': '768.1084399.48.ey1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ey1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ey1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590830
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ey2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.m2', '24.co1', '24.de2', '24.di1', '24.dk1'], 'contains': ['96.dq2', '96.dr2', '96.ds2', '96.dz1', '96.dz2', '96.ea1', '96.ea2', '96.eq1', '96.eq2', '96.eq3', '96.eq4', '96.eq5', '96.eq6', '96.eq7'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3673, -1, 651, -1], 'generators': [27909186768, 15335757414, 27430179840, 2918003760], 'label': '768.1084399.48.ey2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ey2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ey2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590831
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ez1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.n1', '24.co1', '24.df1', '24.di1', '24.dl1'], 'contains': ['96.dq1', '96.dq2', '96.dr1', '96.dr2', '96.du1', '96.er1', '96.er2', '96.er3'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1815, -1, 585, -1], 'generators': [1959919920, 15335757414, 20717187120, 2918003760], 'label': '768.1084399.48.ez1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.ez1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ez1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590832
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fa1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.m1', '24.m2', '24.cm2', '24.de1', '24.de2', '24.dh2', '24.dm1'], 'contains': ['96.dv1', '96.dv2', '96.dw1', '96.dw2', '96.dy1', '96.dz2', '96.ea1', '96.es1', '96.es2', '96.es3', '96.es4', '96.es5', '96.es6', '96.es7'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [3895, -1, 3000, -1], 'generators': [14856751009, 2918004048, 15335757414, 27430179840], 'label': '768.1084399.48.fa1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.fa1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fa1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590833
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fa2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.m2', '24.cm1', '24.de2', '24.dh1', '24.dm1'], 'contains': ['96.dv2', '96.dw2', '96.dy2', '96.dz1', '96.ea2', '96.es1', '96.es2', '96.es3', '96.es4'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [4218, -1, 3131, -1], 'generators': [14856751009, 2918004048, 15335757360, 20717187174], 'label': '768.1084399.48.fa2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.fa2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fa2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590834
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.a1', '24.y1', '24.cq1', '24.dj1', '24.dp1'], 'contains': ['96.dp1', '96.dp2', '96.ec1', '96.ed1'], 'core': '192.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [6333, -1, 6186, -1], 'generators': [14856751009, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.48.fb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.fb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590835
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.v1', '24.cr1', '24.dj1', '24.dk1', '24.dl1'], 'contains': ['96.dr1', '96.dr2', '96.ec1', '96.ee1'], 'core': '192.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [4165, -1, 5233, -1], 'generators': [19239897654, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.48.fc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.fc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590836
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['24.f1', '24.y1', '24.dk1', '24.dq1'], 'contains': ['96.ds1', '96.ds2', '96.ec1', '96.ef1'], 'core': '192.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [7075, -1, 5693, -1], 'generators': [27909186768, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.48.fd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.fd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590837
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.e1', '6.f1'], 'contains': ['24.b1', '24.j1', '24.j2', '24.k1', '24.l1', '24.bc1', '24.bc2', '24.bg1', '24.bg2', '24.bp1', '24.bq1', '24.bv1', '24.bv2', '24.cc1', '24.cd1'], 'core': '24.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7080, -1, 5821, -1], 'generators': [288, 15335757414, 27430179840, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.12.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.n1', 'projective_image': None, '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': None}
  • id: 59590838
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fe1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.w1', '24.cs1', '24.dp1', '24.dq1', '24.dr1'], 'contains': ['96.dt1', '96.ec1', '96.eg1', '96.eh1'], 'core': '192.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [9189, -1, 9460, -1], 'generators': [32736493855, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.48.fe1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.fe1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fe1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590839
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.ff1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.x1', '24.cu1', '24.dp1', '24.dq1', '24.dr1'], 'contains': ['96.ec1', '96.eh1'], 'core': '192.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [8975, -1, 9300, -1], 'generators': [38494759375, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.48.ff1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.ff1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.ff1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590840
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.v1', '24.z1', '24.cw1', '24.dj1', '24.dm1'], 'contains': ['96.dw1', '96.dw2', '96.ed1', '96.ee1'], 'core': '192.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [4197, -1, 4542, -1], 'generators': [14856750774, 27430179840, 21196264609, 20717187120], 'label': '768.1084399.48.fg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.fg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590841
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.w1', '24.ba1', '24.cx1', '24.dp1', '24.ds1'], 'contains': ['96.dx1', '96.ed1', '96.eg1', '96.eh1'], 'core': '192.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [9277, -1, 9693, -1], 'generators': [21196264609, 27430179840, 20717187120, 6438625326], 'label': '768.1084399.48.fh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.fh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590842
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['24.x1', '24.bb1', '24.cz1', '24.dp1', '24.ds1'], 'contains': ['96.ed1', '96.eh1'], 'core': '192.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [8990, -1, 9555, -1], 'generators': [19239897889, 43604794926, 27430179840, 20717187120], 'label': '768.1084399.48.fi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.fi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590843
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.y1', '24.cq1', '24.dm1', '24.ds1'], 'contains': ['96.dy1', '96.dy2', '96.ed1', '96.ef1'], 'core': '192.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [8766, -1, 6285, -1], 'generators': [19239897889, 2918004048, 27430179840, 20717187120], 'label': '768.1084399.48.fj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '48.fj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590844
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.z1', '24.cr1', '24.dk1', '24.dm1'], 'contains': ['96.ea1', '96.ea2', '96.ee1', '96.ef1'], 'core': '192.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [4354, -1, 3771, -1], 'generators': [14856750774, 2918004048, 27430179840, 20717187120], 'label': '768.1084399.48.fk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.fk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590845
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.ba1', '24.cs1', '24.dq1', '24.ds1'], 'contains': ['96.eb1', '96.ef1', '96.eg1', '96.eh1'], 'core': '192.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [9295, -1, 9639, -1], 'generators': [2918004048, 32736493855, 27430179840, 20717187120], 'label': '768.1084399.48.fl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.fl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590846
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['24.bb1', '24.cu1', '24.dq1', '24.ds1'], 'contains': ['96.ef1', '96.eh1'], 'core': '192.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [9156, -1, 9510, -1], 'generators': [7396583455, 2918004048, 27430179840, 20717187120], 'label': '768.1084399.48.fm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '48.fm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590847
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.o1', '24.o2', '24.cm1', '24.dg2', '24.dh2'], 'contains': ['96.ei2', '96.ej2', '96.ek4', '96.em1', '96.en1', '96.ep4', '96.ep5', '96.es2', '96.es4'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3355, -1, 2441, -1], 'generators': [14856751009, 2918003760, 20717187384, 15335757648], 'label': '768.1084399.48.fn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.fn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590848
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1', '6.f1'], 'contains': ['24.b1', '24.be1', '24.bo1', '24.br1', '24.bs1', '24.bx1', '24.ce1'], 'core': '24.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [9294, -1, 7737, -1], 'generators': [43604794926, 288, 15335757414, 27430179840, 20717187120, 20717187409], 'label': '768.1084399.12.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.o1', 'projective_image': None, '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': None}
  • id: 59590849
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fn2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.o1', '24.o3', '24.cm2', '24.dg1', '24.dg2', '24.dh1', '24.dh2'], 'contains': ['96.ei1', '96.ej1', '96.ek3', '96.em1', '96.em2', '96.en1', '96.en2', '96.ep2', '96.ep3', '96.ep4', '96.ep7', '96.es1', '96.es4', '96.es5', '96.es6'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2916, -1, 2375, -1], 'generators': [15335757414, 19239897601, 2918003760, 27430180128], 'label': '768.1084399.48.fn2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.fn2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fn2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590850
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fn3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['24.o2', '24.o3', '24.cm2', '24.dg2', '24.dg3', '24.dh1', '24.dh2'], 'contains': ['96.ei3', '96.ej1', '96.ek1', '96.em1', '96.em2', '96.en1', '96.en2', '96.ep1', '96.ep2', '96.ep5', '96.ep6', '96.es2', '96.es3', '96.es5', '96.es7'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2793, -1, 2277, -1], 'generators': [15335757414, 1959919921, 2918003760, 27430180128], 'label': '768.1084399.48.fn3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.fn3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fn3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590851
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fn4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.o3', '24.cm1', '24.dg1', '24.dg3', '24.dh2'], 'contains': ['96.ei4', '96.ej2', '96.ek2', '96.em1', '96.en1', '96.ep6', '96.ep7', '96.es1', '96.es3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3387, -1, 2408, -1], 'generators': [19239897601, 2918003760, 20717187384, 15335757648], 'label': '768.1084399.48.fn4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.fn4', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fn4', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590852
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.o1', '24.co1', '24.dg3', '24.di1'], 'contains': ['96.ej1', '96.ej2', '96.ek3', '96.ek4', '96.el1', '96.eq3', '96.eq4', '96.eq5', '96.er2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3305, -1, 388, -1], 'generators': [21196264320, 1959919920, 15335757414, 20717187408], 'label': '768.1084399.48.fo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.fo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fo1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590853
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fo2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['24.o2', '24.co1', '24.dg1', '24.di1'], 'contains': ['96.ej1', '96.ej2', '96.ek1', '96.ek4', '96.el3', '96.eq2', '96.eq4', '96.eq6', '96.er3'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3131, -1, 421, -1], 'generators': [1959919920, 15335757414, 2918003760, 20717187408], 'label': '768.1084399.48.fo2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.fo2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fo2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590854
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '48.fo3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['24.o3', '24.co1', '24.dg2', '24.di1'], 'contains': ['96.ej1', '96.ej2', '96.ek1', '96.ek2', '96.ek3', '96.el2', '96.eq1', '96.eq2', '96.eq5', '96.eq6', '96.eq7', '96.er1', '96.er2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2635, -1, 322, -1], 'generators': [19239897600, 15335757414, 2918003760, 20717187408], 'label': '768.1084399.48.fo3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '48.fo3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48.fo3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590855
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.b1', '16.c1', '32.c1'], 'contains': ['128.a1', '128.c1', '192.d1'], 'core': '384.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [39, -1, 5987, -1], 'generators': [54, 79914240, 289], 'label': '768.1084399.64.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.c1', 'old_label': '64.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590856
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '64.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.d1', '32.d1'], 'contains': ['128.a1', '128.d1', '192.k1'], 'core': '384.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [5771, -1, 7292, -1], 'generators': [79914240, 289, 6438625326], 'label': '768.1084399.64.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '32.d1', 'old_label': '64.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590859
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.e1'], 'contains': ['24.bg1', '24.bi1', '24.bj1', '24.bl1', '24.bm1', '24.bn1', '24.bo1', '24.cn1', '24.cp1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9404, -1, 8129, -1], 'generators': [15335757360, 288, 20717187174, 15335757649, 2918003760, 6438625326], 'label': '768.1084399.12.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '12.p1', 'projective_image': None, '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': None}
  • id: 59590860
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '64.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.j1', '32.d1', '32.f1'], 'contains': ['128.b1', '128.d1', '192.r1'], 'core': '384.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [6652, -1, 7346, -1], 'generators': [25390794240, 288, 32736493855], 'label': '768.1084399.64.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.e1', 'old_label': '64.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590861
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '64.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.k1', '32.e1', '32.f1'], 'contains': ['128.b1', '192.s1'], 'core': '384.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [8706, -1, 7391, -1], 'generators': [27789718320, 288, 44602755270], 'label': '768.1084399.64.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.e1', 'old_label': '64.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590862
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '64.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.bm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.a1', '32.a1', '32.g1', '32.i1', '32.k1'], 'contains': ['192.c1', '256.a1'], 'core': '192.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [4991, -1, 7187, -1], 'generators': [79914240, 27430179840, 20717187120], 'label': '768.1084399.64.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '64.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590863
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '64.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.a1', '32.b1', '32.h1', '32.j1'], 'contains': ['192.by1', '256.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [16, -1, 149, -1], 'generators': [79914240, 1959919920, 2918003760], 'label': '768.1084399.64.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1', 'old_label': '64.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590864
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.a1', '48.a1', '48.j1', '48.bd1', '48.be1', '48.bf1', '48.bg1', '48.bh1'], 'contains': ['192.c1', '192.e1', '192.be1'], 'core': '96.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [9148, 7130, 7156, 7223], 'generators': [27430179840, 20717187120, 20717187409], 'label': '768.1084399.96.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': ['24.a1', '48.a1'], 'normal_contains': ['192.c1', '384.a1'], 'normalizer': '1.a1', 'old_label': '96.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590865
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': ['8.i1'], 'conjugacy_class_count': 1, 'contained_in': ['32.c1', '48.bk1', '48.bl1', '48.bm1'], 'contains': ['192.a1', '192.b1', '192.d1'], 'core': '96.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [6072, 9171, 6790, 8385], 'generators': [54, 288, 289], 'label': '768.1084399.96.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '96.b1', 'normal_contained_in': ['24.b1'], 'normal_contains': ['192.a1', '192.b1'], 'normalizer': '1.a1', 'old_label': '96.b1', 'projective_image': None, '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': None}
  • id: 59590866
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.g1', '48.a1', '48.b1', '48.c1', '48.d1', '48.df1', '48.dg1', '48.dh1', '48.di1', '48.dj1'], 'contains': ['192.c1', '192.m1', '192.bg1'], 'core': '96.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [9174, 7713, 7218, 7804], 'generators': [288, 27430179840, 20717187120], 'label': '768.1084399.96.c1', 'mobius_quo': 1, 'mobius_sub': -32, 'normal_closure': '96.c1', 'normal_contained_in': ['24.f1', '48.a1', '48.b1', '48.c1', '48.d1'], 'normal_contains': ['192.c1', '384.b1'], 'normalizer': '1.a1', 'old_label': '96.c1', 'projective_image': None, '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': None}
  • id: 59590867
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.f1', '48.f2', '48.g1', '48.g2', '48.i1', '48.j1', '48.bk1'], 'contains': ['192.d1', '192.e1', '192.j1', '192.t1', '192.u1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5305, -1, 6210, -1], 'generators': [27430179840, 27430179894, 289], 'label': '768.1084399.96.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.d1', 'projective_image': None, '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': None}
  • id: 59590868
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.h1', '48.h2', '48.i1', '48.bk1'], 'contains': ['192.d1', '192.f1', '192.j1', '192.t1', '192.v1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5295, -1, 6046, -1], 'generators': [27430179894, 289, 27430180128], 'label': '768.1084399.96.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.e1', 'projective_image': None, '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': None}
  • id: 59590869
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.f1', '48.f2', '48.h1', '48.h2', '48.k1', '48.k2', '48.k3', '48.l1', '48.l2', '48.bl1'], 'contains': ['192.d1', '192.g1', '192.i1', '192.w1', '192.x1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1107, -1, 2656, -1], 'generators': [1959919920, 1959919974, 289], 'label': '768.1084399.96.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.f1', 'projective_image': None, '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': None}
  • id: 59590870
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.a1'], 'contains': ['24.m1', '24.m2', '24.n1', '24.o1', '24.o2', '24.o3', '24.bg1', '24.bg2', '24.bh1', '24.bh2', '24.bk1', '24.bt1', '24.bt2', '24.bt3', '24.cf1', '24.cf2', '24.cf3', '24.cm1', '24.cm2', '24.co1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6418, -1, 3329, -1], 'generators': [1959919920, 288, 15335757414, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.12.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '12.q1', 'projective_image': None, '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': None}
  • id: 59590871
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.g1', '48.g2', '48.h1', '48.h2', '48.k1', '48.k2', '48.k3', '48.bl1'], 'contains': ['192.d1', '192.h1', '192.i1', '192.x1', '192.y1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2469, -1, 3050, -1], 'generators': [1959919974, 289, 1959920208], 'label': '768.1084399.96.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590872
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.f1', '48.m1', '48.n1', '48.o1', '48.p1', '48.q1', '48.y1', '48.bd1', '48.bn1'], 'contains': ['192.e1', '192.g1', '192.z1', '192.bh1', '192.bi1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7122, -1, 6144, -1], 'generators': [15335757360, 15335757649, 2918003760], 'label': '768.1084399.96.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590873
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.h2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.f2', '48.m2', '48.n2', '48.p2', '48.q1', '48.y2', '48.bd1', '48.bn2'], 'contains': ['192.e1', '192.g1', '192.z2', '192.bh2', '192.bi2'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6833, -1, 5549, -1], 'generators': [27430179840, 289, 2918003760], 'label': '768.1084399.96.h2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.h2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.h2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590874
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.g1', '48.p1', '48.p2', '48.r2', '48.s1', '48.y2', '48.be1', '48.bn2'], 'contains': ['192.e1', '192.h1', '192.ba1', '192.bi2', '192.bk1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7798, -1, 5581, -1], 'generators': [2918004048, 27430179840, 289], 'label': '768.1084399.96.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590875
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.i2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.g2', '48.p2', '48.r1', '48.s2', '48.t1', '48.y1', '48.be1', '48.bn1'], 'contains': ['192.e1', '192.h1', '192.ba2', '192.bi1', '192.bk2'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7857, -1, 6309, -1], 'generators': [2918004048, 15335757360, 15335757649], 'label': '768.1084399.96.i2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.i2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.i2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590876
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.f1', '48.g2', '48.m1', '48.n2', '48.r1', '48.s1', '48.z1', '48.bf1', '48.bo1'], 'contains': ['192.e1', '192.i1', '192.bb1', '192.bj1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5153, -1, 5647, -1], 'generators': [14377673574, 27430179840, 289], 'label': '768.1084399.96.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590877
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.j2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.f2', '48.g1', '48.m2', '48.n1', '48.n2', '48.r2', '48.s1', '48.s2', '48.z2', '48.bf1', '48.bo2'], 'contains': ['192.e1', '192.i1', '192.bb2', '192.bj2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4725, -1, 4563, -1], 'generators': [27430179840, 289, 12936672054], 'label': '768.1084399.96.j2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.j2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.j2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590878
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.i1', '48.j1', '48.m1', '48.m2', '48.r1', '48.r2', '48.bp1'], 'contains': ['192.e1', '192.j1', '192.bc1', '192.bl1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7222, -1, 6473, -1], 'generators': [15335757414, 27430179840, 289], 'label': '768.1084399.96.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590879
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.o1', '48.t1', '48.ba1', '48.bg1', '48.bq1'], 'contains': ['192.e1', '192.k1', '192.bd1', '192.bm1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9426, -1, 9232, -1], 'generators': [1, 27430179840, 6438625326], 'label': '768.1084399.96.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590880
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.br1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.o1', '48.t1', '48.bb1', '48.bh1', '48.bs1'], 'contains': ['192.e1', '192.bn1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9475, -1, 9276, -1], 'generators': [27430179840, 289, 37536352686], 'label': '768.1084399.96.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590881
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.a1', '6.g1', '6.h1'], 'contains': ['24.p1', '24.p2', '24.v1', '24.z1', '24.bh1', '24.bh2', '24.bp1', '24.bq1', '24.cg1', '24.cg2', '24.cr1', '24.cw1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6392, -1, 3723, -1], 'generators': [14856750774, 288, 27430179840, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.12.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.r1', 'projective_image': None, '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': None}
  • id: 59590882
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.h1', '48.u1', '48.v1', '48.v3', '48.w1', '48.w2', '48.w3', '48.y1', '48.y2', '48.bn2'], 'contains': ['192.f1', '192.g1', '192.h1', '192.z2', '192.ba1', '192.bo1', '192.bp1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7012, -1, 4793, -1], 'generators': [289, 2918003760, 27430180128], 'label': '768.1084399.96.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590883
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.n2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.h2', '48.u2', '48.v2', '48.v4', '48.w1', '48.w2', '48.w3', '48.y2', '48.bn1'], 'contains': ['192.f1', '192.g1', '192.h1', '192.z1', '192.ba2', '192.bo2', '192.bp2'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6906, -1, 4661, -1], 'generators': [15335757361, 2918003760, 15335757648], 'label': '768.1084399.96.n2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.n2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.n2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590884
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.h1', '48.u1', '48.v1', '48.v2', '48.v3', '48.v4', '48.z1', '48.z2', '48.bo2'], 'contains': ['192.f1', '192.i1', '192.bb2', '192.bq1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4662, -1, 3609, -1], 'generators': [289, 12936672054, 27430180128], 'label': '768.1084399.96.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590885
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.o2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.h2', '48.u2', '48.v1', '48.v3', '48.x1', '48.z2', '48.bo1'], 'contains': ['192.f1', '192.i1', '192.bb1', '192.bq2'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4838, -1, 4760, -1], 'generators': [14377673784, 289, 27430180128], 'label': '768.1084399.96.o2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.o2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.o2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590886
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.i1', '48.u1', '48.u2', '48.bp1'], 'contains': ['192.f1', '192.j1', '192.bc1', '192.br1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6928, -1, 6111, -1], 'generators': [15335757414, 289, 27430180128], 'label': '768.1084399.96.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590887
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.x1', '48.ba1', '48.bq1'], 'contains': ['192.f1', '192.k1', '192.bd1', '192.bs1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9133, -1, 8694, -1], 'generators': [1, 6438625326, 27430180128], 'label': '768.1084399.96.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.w1', 'old_label': '96.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590888
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.bs1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.x1', '48.bc1', '48.bt1'], 'contains': ['192.f1', '192.bt1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9108, -1, 7652, -1], 'generators': [1, 32257577880, 27430180128], 'label': '768.1084399.96.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.w1', 'old_label': '96.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590889
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.a1', '48.i1', '48.y1', '48.y2', '48.z1', '48.z2', '48.ba1', '48.bb1', '48.bc1'], 'contains': ['192.e1', '192.f1', '192.be1', '192.bf1', '192.bg1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8347, -1, 6988, -1], 'generators': [27430179840, 20717187409, 20717187408], 'label': '768.1084399.96.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590890
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.f1', '48.h2', '48.m2', '48.u1', '48.bi1', '48.bi2', '48.bi3', '48.bj1', '48.bj2', '48.bj3', '48.bu1'], 'contains': ['192.g1', '192.i1', '192.j1', '192.bv1', '192.bz1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2625, -1, 3083, -1], 'generators': [19239897654, 1959919920, 289], 'label': '768.1084399.96.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590891
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.t2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.f2', '48.h1', '48.m1', '48.m2', '48.u1', '48.u2', '48.bi4', '48.bi5', '48.bi6', '48.bi7', '48.bj1', '48.bj2', '48.bj3', '48.bu2'], 'contains': ['192.g1', '192.i1', '192.j1', '192.bv2', '192.bz2'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3652, -1, 3543, -1], 'generators': [1959919920, 15335757414, 289], 'label': '768.1084399.96.t2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.t2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.t2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590892
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1', 'complements': ['384.a1', '384.d1', '384.c1', '384.k1', '384.l1', '384.h1', '384.i1'], 'conjugacy_class_count': 4, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.c1', '4.d1', '6.d1', '8.g1'], 'core': '2.d1', 'coset_action_label': None, 'count': 4, 'diagramx': [7533, 4855, 6491, 6826], 'generators': [79914240, 288, 15335757414, 2918003760, 32736493855, 20717187120, 1959919920, 27909186480], 'label': '768.1084399.2.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.c1', '4.d1', '6.d1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590893
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1', '6.e1', '6.g1'], 'contains': ['24.c1', '24.q1', '24.w1', '24.ba1', '24.bi1', '24.bp1', '24.br1', '24.ch1', '24.cs1', '24.cx1'], 'core': '24.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [9338, -1, 9283, -1], 'generators': [288, 27430179840, 20717187120, 20717187409, 2918003760, 6438625326], 'label': '768.1084399.12.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.s1', 'projective_image': None, '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': None}
  • id: 59590894
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.k1', '48.l1', '48.n1', '48.n2', '48.v2', '48.v3', '48.bi3', '48.bi7', '48.bj1', '48.bj2', '48.bv1'], 'contains': ['192.g1', '192.i1', '192.bw1', '192.ca1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [642, -1, 1505, -1], 'generators': [2438997174, 1959919920, 289], 'label': '768.1084399.96.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590895
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.u2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.k2', '48.l2', '48.n1', '48.n2', '48.v1', '48.v2', '48.bi1', '48.bi6', '48.bj1', '48.bj3', '48.bv2'], 'contains': ['192.g1', '192.i1', '192.bw2', '192.ca2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [631, -1, 1308, -1], 'generators': [1959919920, 289, 21675271014], 'label': '768.1084399.96.u2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.u2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.u2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590896
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.u3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.k3', '48.l2', '48.n1', '48.n2', '48.v1', '48.v3', '48.v4', '48.bi2', '48.bi4', '48.bi5', '48.bj2', '48.bj3', '48.bv3'], 'contains': ['192.g1', '192.i1', '192.bw3', '192.ca3'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1118, -1, 1604, -1], 'generators': [1959919920, 289, 12936672054], 'label': '768.1084399.96.u3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.u3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.u3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590897
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.k1', '48.p1', '48.p2', '48.w1', '48.w2', '48.bi1', '48.bi5', '48.bw1'], 'contains': ['192.g1', '192.h1', '192.bu1', '192.bx1', '192.cb1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4817, -1, 3576, -1], 'generators': [289, 2918003760, 1959920208], 'label': '768.1084399.96.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590898
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.v2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.k2', '48.p1', '48.p2', '48.w1', '48.w3', '48.bi3', '48.bi4', '48.bw2'], 'contains': ['192.g1', '192.h1', '192.bu2', '192.bx2', '192.cb2'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5078, -1, 3511, -1], 'generators': [2918004048, 19239897888, 19239897601], 'label': '768.1084399.96.v2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.v2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.v2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590899
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.v3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.k3', '48.p1', '48.p2', '48.w2', '48.w3', '48.bi2', '48.bi6', '48.bi7', '48.bw2'], 'contains': ['192.g1', '192.h1', '192.bu3', '192.bx3', '192.cb2', '192.cb3'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5110, -1, 3642, -1], 'generators': [19239897888, 19239897601, 2918003760], 'label': '768.1084399.96.v3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.v3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.v3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590900
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.b1', '48.l1', '48.q1', '48.w3', '48.bj3', '48.bw1'], 'contains': ['192.g1', '192.bu1', '192.by1'], 'core': '384.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [2479, -1, 2393, -1], 'generators': [1959919920, 289, 2918003760], 'label': '768.1084399.96.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '96.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590901
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.w2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.l2', '48.q1', '48.w1', '48.w2', '48.bj1', '48.bj2', '48.bw2'], 'contains': ['192.g1', '192.bu2', '192.bu3', '192.by2'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4340, -1, 2689, -1], 'generators': [19239897600, 19239897889, 2918003760], 'label': '768.1084399.96.w2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.w2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.w2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590902
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.g1', '48.h1', '48.r1', '48.r2', '48.u1', '48.u2', '48.bi1', '48.bi2', '48.bi3', '48.bi4', '48.bi5', '48.bi6', '48.bi7', '48.bu2'], 'contains': ['192.h1', '192.i1', '192.j1', '192.bz2', '192.cc1'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3882, -1, 3675, -1], 'generators': [15335757414, 289, 1959920208], 'label': '768.1084399.96.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.x1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590903
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.x2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.g2', '48.h2', '48.r2', '48.u1', '48.bi4', '48.bi5', '48.bi6', '48.bi7', '48.bu1'], 'contains': ['192.h1', '192.i1', '192.j1', '192.bz1', '192.cc2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3946, -1, 3708, -1], 'generators': [19239897654, 289, 1959920208], 'label': '768.1084399.96.x2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.x2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.x2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590904
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1', '6.e1', '6.h1'], 'contains': ['24.d1', '24.bj1', '24.bp1', '24.bs1', '24.ci1', '24.ct1', '24.cy1'], 'core': '24.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [9472, -1, 7449, -1], 'generators': [288, 27430179840, 20717187120, 44602755270, 20717187409, 2918003760], 'label': '768.1084399.12.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.t1', 'projective_image': None, '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': None}
  • id: 59590905
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.k1', '48.s1', '48.s2', '48.v1', '48.v4', '48.bi2', '48.bi4', '48.bi6', '48.bv1'], 'contains': ['192.h1', '192.i1', '192.ca1', '192.cd1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2089, -1, 2524, -1], 'generators': [2438997174, 289, 1959920208], 'label': '768.1084399.96.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.y1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590906
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.y2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.k2', '48.k3', '48.s1', '48.s2', '48.v1', '48.v2', '48.v3', '48.bi1', '48.bi2', '48.bi4', '48.bi5', '48.bi7', '48.bv3'], 'contains': ['192.h1', '192.i1', '192.ca3', '192.cd2'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1656, -1, 1834, -1], 'generators': [289, 12936672054, 1959920208], 'label': '768.1084399.96.y2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.y2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.y2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590907
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.y3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.k3', '48.s1', '48.s2', '48.v3', '48.v4', '48.bi3', '48.bi5', '48.bi6', '48.bv2'], 'contains': ['192.h1', '192.i1', '192.ca2', '192.cd3'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2490, -1, 2492, -1], 'generators': [289, 1959920208, 21675271014], 'label': '768.1084399.96.y3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.y3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.y3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590908
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '48.bk1', '48.bn1', '48.bn2', '48.bo1', '48.bo2', '48.bp1', '48.bq1', '48.br1', '48.bs1', '48.bt1'], 'contains': ['192.a1', '192.e1', '192.f1', '192.l1', '192.m1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8843, -1, 7090, -1], 'generators': [288, 27430179840, 289], 'label': '768.1084399.96.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.z1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590909
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bl1', '48.bn1', '48.bn2', '48.bu1', '48.bu2', '48.bv1', '48.bv2', '48.bv3', '48.bw1', '48.bw2'], 'contains': ['192.a1', '192.g1', '192.h1', '192.n1', '192.o1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7306, -1, 4924, -1], 'generators': [1959919920, 288, 289], 'label': '768.1084399.96.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ba1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590910
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bl1', '48.bo1', '48.bo2', '48.bu1', '48.bu2', '48.bv1', '48.bv2', '48.bv3'], 'contains': ['192.a1', '192.i1', '192.p1'], 'core': '192.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6759, -1, 5056, -1], 'generators': [14856750774, 288, 289], 'label': '768.1084399.96.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590911
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.bk1', '48.bp1', '48.bu1', '48.bu2', '48.bx1'], 'contains': ['192.a1', '192.j1', '192.q1'], 'core': '192.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7882, -1, 6889, -1], 'generators': [288, 15335757414, 289], 'label': '768.1084399.96.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590912
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.d1', '48.bm1', '48.bq1', '48.bx1'], 'contains': ['192.a1', '192.k1', '192.r1'], 'core': '192.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9122, -1, 8376, -1], 'generators': [288, 289, 6438625326], 'label': '768.1084399.96.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '96.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590913
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.f1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.e1', '48.bm1', '48.br1', '48.bx1'], 'contains': ['192.a1', '192.s1'], 'core': '192.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [9303, -1, 8225, -1], 'generators': [288, 44602755270, 289], 'label': '768.1084399.96.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '96.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.be1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590914
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bk1', '48.by1', '48.by2', '48.bz1', '48.ca1'], 'contains': ['192.b1', '192.l1', '192.q1', '192.t1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [7908, -1, 6823, -1], 'generators': [288, 20717187174, 20717187409], 'label': '768.1084399.96.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590915
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.b1', '6.f1', '6.h1'], 'contains': ['24.x1', '24.bb1', '24.bp1', '24.br1', '24.cu1', '24.cz1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8961, -1, 9009, -1], 'generators': [31295905326, 288, 27430179840, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.12.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.u1', 'projective_image': None, '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': None}
  • id: 59590973
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.i1', '48.b1', '48.j1', '48.dx1', '48.dy1', '48.dz1'], 'contains': ['192.c1', '192.u1', '192.bl1'], 'core': '192.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [7243, -1, 6572, -1], 'generators': [15335757414, 27430179840, 20717187120], 'label': '768.1084399.96.cn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '96.cn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590916
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.b1', '48.bk1', '48.ca1', '48.cb1', '48.cb2', '48.cc1', '48.cc2', '48.cd1', '48.ce1'], 'contains': ['192.b1', '192.m1', '192.q1', '192.u1', '192.v1'], 'core': '192.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [7771, -1, 6856, -1], 'generators': [288, 27430179840, 27430179894], 'label': '768.1084399.96.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590917
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bl1', '48.by1', '48.by2', '48.cb1', '48.cb2', '48.cf1', '48.cf2', '48.cf3', '48.cg1', '48.cg2'], 'contains': ['192.b1', '192.n1', '192.p1', '192.w1', '192.y1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [5652, -1, 3379, -1], 'generators': [1959919920, 288, 1959919974], 'label': '768.1084399.96.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590918
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bl1', '48.by1', '48.by2', '48.cc1', '48.cc2', '48.cf1', '48.cf2', '48.cf3'], 'contains': ['192.b1', '192.o1', '192.p1', '192.x1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6629, -1, 4990, -1], 'generators': [19239897654, 19239897889, 288], 'label': '768.1084399.96.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590919
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.f1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.f1', '48.bm1', '48.bz1', '48.cd1'], 'contains': ['192.b1', '192.r1', '192.s1'], 'core': '192.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [9829, -1, 8342, -1], 'generators': [54, 288, 32736493855], 'label': '768.1084399.96.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '96.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590920
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bn1', '48.by1', '48.ch1', '48.ci1', '48.ci2', '48.cj1', '48.cj2', '48.cj3', '48.cl2'], 'contains': ['192.l1', '192.n1', '192.o1', '192.z1', '192.ba2'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7760, -1, 5187, -1], 'generators': [1959919920, 288, 20717187409], 'label': '768.1084399.96.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590921
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bk2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bn2', '48.by2', '48.ch2', '48.ci3', '48.ci4', '48.cj1', '48.cj2', '48.cj3', '48.cl1', '48.cl2'], 'contains': ['192.l1', '192.n1', '192.o1', '192.z2', '192.ba1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [7825, -1, 5417, -1], 'generators': [14856751009, 1959919920, 288], 'label': '768.1084399.96.bk2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bk2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bk2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590922
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bo1', '48.by1', '48.ch1', '48.ci3', '48.ci4', '48.cm2'], 'contains': ['192.l1', '192.p1', '192.bb1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [6864, -1, 5384, -1], 'generators': [14856750774, 288, 20717187409], 'label': '768.1084399.96.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590923
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bl2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bo2', '48.by2', '48.ch2', '48.ci1', '48.ci2', '48.ci3', '48.ci4', '48.cm1', '48.cm2'], 'contains': ['192.l1', '192.p1', '192.bb2'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6854, -1, 5253, -1], 'generators': [288, 20717187409, 12936672054], 'label': '768.1084399.96.bl2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bl2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bl2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590924
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bp1', '48.ca1', '48.ch1', '48.ch2', '48.ck1'], 'contains': ['192.l1', '192.q1', '192.bc1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [8500, -1, 6922, -1], 'generators': [288, 15335757414, 20717187409], 'label': '768.1084399.96.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590925
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.bq1', '48.bz1', '48.ck1', '48.cn1'], 'contains': ['192.l1', '192.r1', '192.bd1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9799, -1, 8661, -1], 'generators': [288, 20717187409, 6438625326], 'label': '768.1084399.96.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1', 'old_label': '96.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590926
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.c1', '6.f1', '6.g1'], 'contains': ['24.r1', '24.bp1', '24.bs1', '24.cv1', '24.da1'], 'core': '48.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [8934, -1, 6737, -1], 'generators': [38494759110, 288, 27430179840, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.12.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.v1', 'projective_image': None, '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': None}
  • id: 59590927
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.br1', '48.bz1', '48.ck1', '48.co1'], 'contains': ['192.l1', '192.s1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9816, -1, 8422, -1], 'generators': [288, 44602755270, 20717187409], 'label': '768.1084399.96.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1', 'old_label': '96.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bo1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590928
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.a1', '48.ca1', '48.cl1', '48.cl2', '48.cm1', '48.cm2', '48.cn1', '48.co1', '48.cp1', '48.cq1'], 'contains': ['192.l1', '192.m1', '192.be1', '192.bf1'], 'core': '384.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [9164, -1, 7123, -1], 'generators': [288, 27430179840, 20717187409], 'label': '768.1084399.96.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590929
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bn1', '48.cb1', '48.cl1', '48.cr2', '48.cs1', '48.ct1', '48.cu1', '48.cv1', '48.cw1', '48.df1'], 'contains': ['192.m1', '192.n1', '192.bh1', '192.bk2', '192.bo2'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [7918, -1, 6276, -1], 'generators': [15335757360, 288, 2918003760], 'label': '768.1084399.96.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590930
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bn2', '48.cb2', '48.cl2', '48.cr1', '48.cs2', '48.ct2', '48.cw1', '48.df1'], 'contains': ['192.m1', '192.n1', '192.bh2', '192.bk1', '192.bo1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7786, -1, 5680, -1], 'generators': [288, 27430179840, 2918003760], 'label': '768.1084399.96.bq2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bq2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bq2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590931
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bn1', '48.cc1', '48.cl1', '48.cr1', '48.cx1', '48.cy1', '48.cz1', '48.da1', '48.dg1'], 'contains': ['192.m1', '192.o1', '192.bi1', '192.bp2'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [8645, -1, 6692, -1], 'generators': [14377673809, 288, 27430179840], 'label': '768.1084399.96.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.br1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590932
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.br2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bn2', '48.cc2', '48.cl2', '48.cr1', '48.cr2', '48.cx2', '48.cy2', '48.dg1'], 'contains': ['192.m1', '192.o1', '192.bi2', '192.bp1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [8294, -1, 6177, -1], 'generators': [288, 21196264609, 27430179840], 'label': '768.1084399.96.br2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.br2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.br2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590933
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bo1', '48.cb1', '48.cc1', '48.cm1', '48.cs1', '48.ct2', '48.cx1', '48.cy2', '48.db1', '48.dc1', '48.dh1'], 'contains': ['192.m1', '192.p1', '192.bj1', '192.bq2'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7253, -1, 6342, -1], 'generators': [288, 27430179840, 21675271014], 'label': '768.1084399.96.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590934
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bs2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bo2', '48.cb2', '48.cc2', '48.cm2', '48.cs2', '48.ct1', '48.ct2', '48.cx2', '48.cy1', '48.cy2', '48.dh1'], 'contains': ['192.m1', '192.p1', '192.bj2', '192.bq1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6801, -1, 5450, -1], 'generators': [288, 27430179840, 12936672054], 'label': '768.1084399.96.bs2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bs2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bs2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590935
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.b1', '48.bp1', '48.ca1', '48.cs1', '48.cs2', '48.cx1', '48.cx2', '48.dd1', '48.de1'], 'contains': ['192.m1', '192.q1', '192.bl1', '192.br1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [8601, -1, 6955, -1], 'generators': [288, 15335757414, 27430179840], 'label': '768.1084399.96.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bt1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590936
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.c1', '48.bq1', '48.cd1', '48.cn1', '48.cu1', '48.cz1', '48.db1', '48.dd1'], 'contains': ['192.m1', '192.r1', '192.bm1', '192.bs1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9874, -1, 8780, -1], 'generators': [288, 32736493855, 27430179840], 'label': '768.1084399.96.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '96.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590937
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1', '6.g1'], 'contains': ['24.c1', '24.t1', '24.bl1', '24.bq1', '24.bs1', '24.ck1', '24.db1'], 'core': '24.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [9249, -1, 7330, -1], 'generators': [288, 27430179840, 20717187120, 20717187409, 12936672054, 6438625326], 'label': '768.1084399.12.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.w1', 'projective_image': None, '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': None}
  • id: 59590938
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.d1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.d1', '48.br1', '48.cd1', '48.co1', '48.cv1', '48.da1', '48.dc1', '48.dd1'], 'contains': ['192.m1', '192.s1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9930, -1, 8300, -1], 'generators': [288, 27430179840, 44602755270], 'label': '768.1084399.96.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '96.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590939
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.br1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bs1', '48.ce1', '48.cp1', '48.cu1', '48.cz1', '48.dc1', '48.de1', '48.di1'], 'contains': ['192.m1', '192.bn1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9783, -1, 8891, -1], 'generators': [32257577935, 288, 27430179840], 'label': '768.1084399.96.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '96.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590940
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.bs1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bt1', '48.ce1', '48.cq1', '48.cv1', '48.da1', '48.db1', '48.de1', '48.dj1'], 'contains': ['192.m1', '192.bt1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9759, -1, 8011, -1], 'generators': [288, 27430179840, 45081671190], 'label': '768.1084399.96.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '96.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590941
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bw1', '48.cf1', '48.cj1', '48.cj2', '48.cr1', '48.cr2', '48.dk6', '48.dk7'], 'contains': ['192.n1', '192.o1', '192.bu1', '192.cb1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7371, -1, 3872, -1], 'generators': [1959919920, 288, 2918004049], 'label': '768.1084399.96.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.by1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590942
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.by2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bw2', '48.cf2', '48.cj1', '48.cj3', '48.cr1', '48.cr2', '48.dk1', '48.dk3', '48.dk5'], 'contains': ['192.n1', '192.o1', '192.bu3', '192.cb2'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [7517, -1, 3938, -1], 'generators': [14377673809, 1959919920, 288], 'label': '768.1084399.96.by2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.by2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.by2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590943
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.by3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bw2', '48.cf3', '48.cj2', '48.cj3', '48.cr1', '48.cr2', '48.dk2', '48.dk4'], 'contains': ['192.n1', '192.o1', '192.bu2', '192.cb3'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7750, -1, 3905, -1], 'generators': [1959919920, 288, 21196264609], 'label': '768.1084399.96.by3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.by3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.by3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590944
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bu1', '48.by1', '48.cb1', '48.ch2', '48.cs2', '48.dk2', '48.dk3', '48.dk7', '48.dl1', '48.dl2', '48.dl3'], 'contains': ['192.n1', '192.p1', '192.q1', '192.bv1', '192.cc2'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6601, -1, 3412, -1], 'generators': [19239897654, 1959919920, 288], 'label': '768.1084399.96.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590945
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.bu2', '48.by2', '48.cb2', '48.ch1', '48.ch2', '48.cs1', '48.cs2', '48.dk1', '48.dk4', '48.dk5', '48.dk6', '48.dl1', '48.dl2', '48.dl3'], 'contains': ['192.n1', '192.p1', '192.q1', '192.bv2', '192.cc1'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [6812, -1, 3971, -1], 'generators': [1959919920, 288, 15335757414], 'label': '768.1084399.96.bz2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.bz2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.bz2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590946
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bv1', '48.cf1', '48.cg1', '48.ci2', '48.ci4', '48.ct1', '48.ct2', '48.dk2', '48.dk5', '48.dl1', '48.dl2'], 'contains': ['192.n1', '192.p1', '192.bw1', '192.cd1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [5047, -1, 2590, -1], 'generators': [2438997174, 1959919920, 288], 'label': '768.1084399.96.ca1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ca1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590947
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ca2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bv2', '48.cf3', '48.cg2', '48.ci2', '48.ci3', '48.ct1', '48.ct2', '48.dk1', '48.dk7', '48.dl1', '48.dl3'], 'contains': ['192.n1', '192.p1', '192.bw2', '192.cd3'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [5141, -1, 2557, -1], 'generators': [1959919920, 288, 21675271014], 'label': '768.1084399.96.ca2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ca2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ca2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590948
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['6.e1', '6.h1'], 'contains': ['24.d1', '24.bm1', '24.bq1', '24.br1', '24.cl1', '24.dc1'], 'core': '24.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [9499, -1, 8220, -1], 'generators': [43604794926, 288, 27430179840, 20717187120, 20717187409, 12936672054], 'label': '768.1084399.12.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.x1', 'projective_image': None, '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': None}
  • id: 59590949
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ca3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.bv3', '48.cf2', '48.cg2', '48.ci1', '48.ci3', '48.ci4', '48.ct1', '48.ct2', '48.dk3', '48.dk4', '48.dk6', '48.dl2', '48.dl3'], 'contains': ['192.n1', '192.p1', '192.bw3', '192.cd2'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [5274, -1, 2787, -1], 'generators': [1959919920, 288, 12936672054], 'label': '768.1084399.96.ca3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ca3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ca3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590950
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.h1', '48.bw1', '48.cg1', '48.cj3', '48.cw1', '48.dl3'], 'contains': ['192.n1', '192.bx1', '192.by1'], 'core': '384.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [4940, -1, 1045, -1], 'generators': [1959919920, 288, 2918003760], 'label': '768.1084399.96.cb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '96.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590951
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cb2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bw2', '48.cg2', '48.cj1', '48.cj2', '48.cw1', '48.dl1', '48.dl2'], 'contains': ['192.n1', '192.bx2', '192.bx3', '192.by2'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [5174, -1, 2097, -1], 'generators': [19239897600, 288, 2918003760], 'label': '768.1084399.96.cb2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cb2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cb2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590952
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bu1', '48.by1', '48.cc1', '48.ch2', '48.cx2', '48.dk1', '48.dk4', '48.dk5', '48.dk6'], 'contains': ['192.o1', '192.p1', '192.q1', '192.bz1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [7729, -1, 5121, -1], 'generators': [19239897889, 288, 20717187174], 'label': '768.1084399.96.cc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590953
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cc2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.bu2', '48.by2', '48.cc2', '48.ch1', '48.ch2', '48.cx1', '48.cx2', '48.dk1', '48.dk2', '48.dk3', '48.dk4', '48.dk5', '48.dk6', '48.dk7'], 'contains': ['192.o1', '192.p1', '192.q1', '192.bz2'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [7704, -1, 5088, -1], 'generators': [19239897889, 288, 15335757414], 'label': '768.1084399.96.cc2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cc2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cc2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590954
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bv1', '48.cf1', '48.ci1', '48.ci3', '48.cy1', '48.cy2', '48.dk1', '48.dk3', '48.dk4'], 'contains': ['192.o1', '192.p1', '192.ca1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6791, -1, 4168, -1], 'generators': [19239897889, 288, 12936672054], 'label': '768.1084399.96.cd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590955
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cd2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bv2', '48.cf2', '48.ci1', '48.ci4', '48.cy1', '48.cy2', '48.dk1', '48.dk2', '48.dk6'], 'contains': ['192.o1', '192.p1', '192.ca2'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6780, -1, 4135, -1], 'generators': [14377673574, 19239897889, 288], 'label': '768.1084399.96.cd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cd2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cd2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590956
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cd3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.bv3', '48.cf2', '48.cf3', '48.ci2', '48.ci3', '48.ci4', '48.cy1', '48.cy2', '48.dk3', '48.dk4', '48.dk5', '48.dk6', '48.dk7'], 'contains': ['192.o1', '192.p1', '192.ca3'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [6770, -1, 3741, -1], 'generators': [19239897889, 288, 21675271014], 'label': '768.1084399.96.cd3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cd3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cd3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590957
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bx1', '48.bz1', '48.cd1', '48.ck1', '48.dd1'], 'contains': ['192.q1', '192.r1', '192.s1'], 'core': '384.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [9944, -1, 8564, -1], 'generators': [288, 15335757414, 32736493855], 'label': '768.1084399.96.ce1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.a1', 'old_label': '96.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ce1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590958
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.f1', '48.h2', '48.by1', '48.dm1', '48.dm2', '48.dm3', '48.dn1', '48.dn2', '48.dn3', '48.do2', '48.dq1'], 'contains': ['192.t1', '192.w1', '192.x1', '192.z1', '192.bb1', '192.bv1', '192.bz1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2693, -1, 2755, -1], 'generators': [19239897654, 1959919920, 20717187409], 'label': '768.1084399.96.cf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590959
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.f1', '6.g1', '6.h1'], 'contains': ['24.u1', '24.bq1', '24.br1', '24.bs1', '24.dd1'], 'core': '48.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [9067, -1, 7166, -1], 'generators': [14856750774, 43604794926, 288, 27430179840, 20717187120, 20717187409], 'label': '768.1084399.12.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.y1', 'projective_image': None, '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': None}
  • id: 59590960
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cf2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.f2', '48.h1', '48.by2', '48.dm4', '48.dm5', '48.dm6', '48.dm7', '48.dn1', '48.dn2', '48.dn3', '48.do1', '48.do2', '48.dq1', '48.dq2'], 'contains': ['192.t1', '192.w1', '192.x1', '192.z2', '192.bb2', '192.bv2', '192.bz2'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [3574, -1, 2853, -1], 'generators': [14856751009, 1959919920, 15335757414], 'label': '768.1084399.96.cf2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cf2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cf2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590961
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.g1', '48.h1', '48.by2', '48.dm1', '48.dm2', '48.dm3', '48.dm4', '48.dm5', '48.dm6', '48.dm7', '48.dp1', '48.dp2', '48.dq1', '48.dq2'], 'contains': ['192.t1', '192.x1', '192.y1', '192.ba1', '192.bb2', '192.bz2', '192.cc1'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [3597, -1, 2919, -1], 'generators': [14856751009, 15335757414, 1959920208], 'label': '768.1084399.96.cg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590962
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.g2', '48.h2', '48.by1', '48.dm4', '48.dm5', '48.dm6', '48.dm7', '48.dp2', '48.dq1'], 'contains': ['192.t1', '192.x1', '192.y1', '192.ba2', '192.bb1', '192.bz1', '192.cc2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3871, -1, 3215, -1], 'generators': [19239897654, 20717187409, 1959920208], 'label': '768.1084399.96.cg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cg2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cg2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590963
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.i1', '48.j1', '48.ca1', '48.do1', '48.do2', '48.dp1', '48.dp2'], 'contains': ['192.t1', '192.u1', '192.bc1', '192.be1', '192.bl1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6843, -1, 6374, -1], 'generators': [15335757414, 27430179840, 20717187409], 'label': '768.1084399.96.ch1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ch1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590964
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.i1', '48.ca1', '48.dq1', '48.dq2'], 'contains': ['192.t1', '192.v1', '192.bc1', '192.bf1', '192.br1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6174, -1, 6078, -1], 'generators': [15335757414, 20717187409, 27430180128], 'label': '768.1084399.96.ci1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ci1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ci1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590965
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.b1', '48.i1', '48.dr1', '48.dr2', '48.ds1', '48.ds2'], 'contains': ['192.u1', '192.v1', '192.bg1', '192.bl1', '192.br1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6939, -1, 6243, -1], 'generators': [15335757414, 27430179840, 20717187408], 'label': '768.1084399.96.cj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590966
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.f1', '48.cb1', '48.do1', '48.dr1', '48.dt1', '48.du1', '48.dv1', '48.dx1'], 'contains': ['192.u1', '192.w1', '192.bh1', '192.bj1', '192.bv1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4693, -1, 4628, -1], 'generators': [15335757360, 15335757414, 2918003760], 'label': '768.1084399.96.ck1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ck1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590967
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ck2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.f2', '48.cb2', '48.do2', '48.dr2', '48.dt2', '48.du2', '48.dv1', '48.dx1'], 'contains': ['192.u1', '192.w1', '192.bh2', '192.bj2', '192.bv2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4672, -1, 4398, -1], 'generators': [27430179840, 27430179894, 2918003760], 'label': '768.1084399.96.ck2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ck2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ck2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590968
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.f1', '48.g2', '48.cc1', '48.do1', '48.dp1', '48.ds1', '48.dt2', '48.dw1', '48.dy1'], 'contains': ['192.u1', '192.x1', '192.bi1', '192.bj1', '192.bz1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5057, -1, 5614, -1], 'generators': [21675271249, 27430179840, 27430179894], 'label': '768.1084399.96.cl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590969
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cl2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.f2', '48.g1', '48.cc2', '48.do2', '48.dp2', '48.ds2', '48.dt1', '48.dt2', '48.dw1', '48.dw2', '48.dy1'], 'contains': ['192.u1', '192.x1', '192.bi2', '192.bj2', '192.bz2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [4714, -1, 4530, -1], 'generators': [21196264609, 27430179840, 12936672054], 'label': '768.1084399.96.cl2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cl2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cl2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590970
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.e1'], 'contains': ['24.bv1', '24.bw1', '24.bx1', '24.bz1', '24.cb1', '24.ch1', '24.ci1', '24.ck1', '24.cl1', '24.cn1', '24.cp1'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [9677, -1, 8312, -1], 'generators': [15335757360, 288, 15335757414, 20717187409, 2918003760, 6438625326], 'label': '768.1084399.12.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.e1', 'old_label': '12.z1', 'projective_image': None, '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': None}
  • id: 59590971
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.g1', '48.cb2', '48.dp2', '48.dr2', '48.du1', '48.du2', '48.dw1', '48.dz1'], 'contains': ['192.u1', '192.y1', '192.bj2', '192.bk1', '192.cc1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4787, -1, 4464, -1], 'generators': [2918004048, 27430179840, 27430179894], 'label': '768.1084399.96.cm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590972
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cm2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.g2', '48.cb1', '48.dp1', '48.dr1', '48.du2', '48.dw2', '48.dz1'], 'contains': ['192.u1', '192.y1', '192.bj1', '192.bk2', '192.cc2'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5036, -1, 5318, -1], 'generators': [2918004048, 15335757360, 15335757414], 'label': '768.1084399.96.cm2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cm2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cm2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590974
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.h1', '48.cb2', '48.dq1', '48.dr1', '48.dr2', '48.ea1', '48.ea3', '48.eb1', '48.eb2', '48.eb3'], 'contains': ['192.v1', '192.w1', '192.y1', '192.bo1', '192.bq1', '192.bv2', '192.cc1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3608, -1, 2623, -1], 'generators': [27430179894, 2918003760, 27430180128], 'label': '768.1084399.96.co1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.co1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.co1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590975
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.co2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.h2', '48.cb1', '48.dq2', '48.dr2', '48.ea2', '48.ea4', '48.eb1', '48.eb2', '48.eb3'], 'contains': ['192.v1', '192.w1', '192.y1', '192.bo2', '192.bq2', '192.bv1', '192.cc2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3618, -1, 1966, -1], 'generators': [15335757414, 2918003760, 15335757648], 'label': '768.1084399.96.co2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.co2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.co2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590976
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.h1', '48.cc2', '48.dq1', '48.ds1', '48.ds2', '48.ea1', '48.ea2', '48.ea3', '48.ea4'], 'contains': ['192.v1', '192.x1', '192.bp1', '192.bq1', '192.bz2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [4651, -1, 3445, -1], 'generators': [21196264609, 12936672054, 27430180128], 'label': '768.1084399.96.cp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590977
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cp2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.h2', '48.cc1', '48.dq2', '48.ds2', '48.ea1', '48.ea3'], 'contains': ['192.v1', '192.x1', '192.bp2', '192.bq2', '192.bz1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4641, -1, 4036, -1], 'generators': [27430179894, 21675270961, 27430180128], 'label': '768.1084399.96.cp2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cp2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cp2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590978
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.k1', '48.l1', '48.cf1', '48.dm3', '48.dm7', '48.dn1', '48.dn2', '48.dt1', '48.dt2', '48.ea2', '48.ea3'], 'contains': ['192.w1', '192.x1', '192.bu1', '192.bw1', '192.ca1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [600, -1, 1111, -1], 'generators': [1959919920, 1959919974, 2918004049], 'label': '768.1084399.96.cq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590979
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.k2', '48.l2', '48.cf3', '48.dm1', '48.dm5', '48.dn1', '48.dn3', '48.dt1', '48.dt2', '48.ea1', '48.ea2'], 'contains': ['192.w1', '192.x1', '192.bu2', '192.bw2', '192.ca3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [587, -1, 1078, -1], 'generators': [1959919920, 21196264609, 21675271014], 'label': '768.1084399.96.cq2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cq2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cq2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590980
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cq3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.k3', '48.l2', '48.cf2', '48.dm2', '48.dm4', '48.dm6', '48.dn2', '48.dn3', '48.dt1', '48.dt2', '48.ea1', '48.ea3', '48.ea4'], 'contains': ['192.w1', '192.x1', '192.bu3', '192.bw3', '192.ca2', '192.ca3'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [909, -1, 1177, -1], 'generators': [14377673809, 1959919920, 12936672054], 'label': '768.1084399.96.cq3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cq3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cq3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590981
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.a1'], 'contains': ['24.bu1', '24.bu2', '24.bu3', '24.bv1', '24.bv2', '24.by1', '24.by2', '24.ca1', '24.cf1', '24.cf2', '24.cf3', '24.cg1', '24.cg2', '24.cj1', '24.cm1', '24.cm2', '24.co1', '24.de1', '24.de2', '24.df1', '24.dg1', '24.dg2', '24.dg3'], 'core': '192.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6408, -1, 3279, -1], 'generators': [14856751009, 1959919920, 288, 15335757414, 20717187120, 2918003760], 'label': '768.1084399.12.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '12.ba1', 'projective_image': None, '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': None}
  • id: 59590982
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.k1', '48.cg1', '48.dm1', '48.dm6', '48.du1', '48.du2', '48.eb1', '48.eb2'], 'contains': ['192.w1', '192.y1', '192.bw1', '192.bx1', '192.cd1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1431, -1, 519, -1], 'generators': [1959919974, 2918003760, 1959920208], 'label': '768.1084399.96.cr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cr1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590983
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cr2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.k2', '48.cg2', '48.dm3', '48.dm4', '48.du1', '48.du2', '48.eb1', '48.eb3'], 'contains': ['192.w1', '192.y1', '192.bw2', '192.bx2', '192.cd2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1273, -1, 454, -1], 'generators': [19239897654, 2918004048, 19239897888], 'label': '768.1084399.96.cr2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cr2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cr2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590984
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cr3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.k3', '48.cg2', '48.dm2', '48.dm5', '48.dm7', '48.du1', '48.du2', '48.eb2', '48.eb3'], 'contains': ['192.w1', '192.y1', '192.bw3', '192.bx3', '192.cd2', '192.cd3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1855, -1, 585, -1], 'generators': [19239897654, 19239897888, 2918003760], 'label': '768.1084399.96.cr3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cr3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cr3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590985
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['32.j1', '48.l1', '48.cg1', '48.dn3', '48.dv1', '48.eb3'], 'contains': ['192.w1', '192.bw1', '192.by1'], 'core': '768.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [494, -1, 388, -1], 'generators': [1959919920, 1959919974, 2918003760], 'label': '768.1084399.96.cs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '96.cs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590986
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cs2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.l2', '48.cg2', '48.dn1', '48.dn2', '48.dv1', '48.eb1', '48.eb2'], 'contains': ['192.w1', '192.bw2', '192.bw3', '192.by2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [577, -1, 421, -1], 'generators': [19239897600, 19239897654, 2918003760], 'label': '768.1084399.96.cs2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cs2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cs2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590987
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.k1', '48.cf1', '48.dm2', '48.dm4', '48.dm5', '48.dw1', '48.dw2', '48.ea1', '48.ea4'], 'contains': ['192.x1', '192.y1', '192.ca1', '192.cb1', '192.cd1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2230, -1, 1571, -1], 'generators': [1959919974, 2918004049, 1959920208], 'label': '768.1084399.96.ct1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ct1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ct1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590988
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ct2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.k2', '48.k3', '48.cf2', '48.dm1', '48.dm2', '48.dm4', '48.dm6', '48.dm7', '48.dw1', '48.dw2', '48.ea1', '48.ea2', '48.ea3'], 'contains': ['192.x1', '192.y1', '192.ca2', '192.ca3', '192.cb2', '192.cd2'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [1284, -1, 1243, -1], 'generators': [14377673809, 12936672054, 1959920208], 'label': '768.1084399.96.ct2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ct2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ct2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590989
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ct3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.k3', '48.cf3', '48.dm3', '48.dm5', '48.dm6', '48.dw1', '48.dw2', '48.ea3', '48.ea4'], 'contains': ['192.x1', '192.y1', '192.ca3', '192.cb3', '192.cd3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2196, -1, 1440, -1], 'generators': [21196264609, 1959920208, 21675271014], 'label': '768.1084399.96.ct3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ct3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ct3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590990
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.m1', '48.u2', '48.ch1', '48.do2', '48.dq1', '48.ec1', '48.ec2', '48.ec3', '48.ed1', '48.ed2', '48.ed3'], 'contains': ['192.z1', '192.bb1', '192.bc1', '192.bv2', '192.bz2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [4350, -1, 3281, -1], 'generators': [1959919920, 15335757414, 20717187409], 'label': '768.1084399.96.cu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591008
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cx3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.q1', '48.w3', '48.cj3', '48.dn3', '48.ed2', '48.eh1', '48.el1'], 'contains': ['192.z1', '192.z2', '192.bu2', '192.bu3', '192.by1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4594, -1, 3149, -1], 'generators': [1959919920, 20717187409, 2918003760], 'label': '768.1084399.96.cx3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cx3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cx3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590991
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cu2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.m2', '48.u1', '48.ch2', '48.do1', '48.do2', '48.dq1', '48.dq2', '48.ec4', '48.ec5', '48.ec6', '48.ec7', '48.ed1', '48.ed2', '48.ed3'], 'contains': ['192.z2', '192.bb2', '192.bc1', '192.bv1', '192.bv2', '192.bz1', '192.bz2'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [3957, -1, 3248, -1], 'generators': [14856751009, 1959919920, 27430179894], 'label': '768.1084399.96.cu2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cu2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cu2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590992
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.a1', '6.i1'], 'contains': ['24.by1', '24.by2', '24.cc1', '24.cd1', '24.cm1', '24.cm2', '24.cq1', '24.cr1', '24.cw1', '24.dh1', '24.dh2', '24.dj1', '24.dm1'], 'core': '48.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [6475, -1, 3756, -1], 'generators': [19239897889, 288, 15335757414, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.12.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bb1', 'projective_image': None, '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': None}
  • id: 59590993
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.n1', '48.v2', '48.ci2', '48.dm1', '48.dm3', '48.dn1', '48.dn3', '48.ec3', '48.ed3', '48.ee2', '48.ek1'], 'contains': ['192.z1', '192.bb2', '192.bw1', '192.bw2', '192.ca3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1163, -1, 1144, -1], 'generators': [1959919920, 20717187409, 21675271014], 'label': '768.1084399.96.cv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590994
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cv2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.n1', '48.v4', '48.ci1', '48.dm2', '48.dn2', '48.ec1', '48.ec2', '48.ed1', '48.ed2', '48.ee2', '48.ek1'], 'contains': ['192.z1', '192.bb2', '192.bw3', '192.ca1', '192.ca2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1841, -1, 1538, -1], 'generators': [1959919920, 20717187409, 12936672054], 'label': '768.1084399.96.cv2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cv2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cv2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590995
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cv3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.n2', '48.v1', '48.ci3', '48.dm4', '48.dm5', '48.dn1', '48.dn2', '48.ec5', '48.ec7', '48.ed2', '48.ed3', '48.ee1', '48.ee2', '48.ek1', '48.ek2'], 'contains': ['192.z2', '192.bb1', '192.bb2', '192.bw2', '192.bw3', '192.ca1', '192.ca3'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [1353, -1, 1374, -1], 'generators': [14856751009, 1959919920, 26951102694], 'label': '768.1084399.96.cv3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cv3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cv3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590996
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cv4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.n2', '48.v3', '48.ci4', '48.dm6', '48.dm7', '48.dn2', '48.dn3', '48.ec4', '48.ec6', '48.ed1', '48.ed3', '48.ee1', '48.ee2', '48.ek1', '48.ek2'], 'contains': ['192.z2', '192.bb1', '192.bb2', '192.bw1', '192.bw3', '192.ca2', '192.ca3'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [1301, -1, 1341, -1], 'generators': [14856751009, 1959919920, 12936672054], 'label': '768.1084399.96.cv4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cv4', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cv4', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590997
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.p1', '48.w1', '48.cj3', '48.dm1', '48.ec1', '48.eg2', '48.el2'], 'contains': ['192.z1', '192.ba1', '192.bu2', '192.bx1', '192.cb2'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5737, -1, 3773, -1], 'generators': [14856751009, 2918003760, 1959920208], 'label': '768.1084399.96.cw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590998
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cw2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.p1', '48.w2', '48.cj1', '48.dm2', '48.ec3', '48.eg2', '48.el1', '48.el2'], 'contains': ['192.z1', '192.ba1', '192.bu3', '192.bx3', '192.cb1', '192.cb2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6822, -1, 3839, -1], 'generators': [15335757361, 19239897888, 2918003760], 'label': '768.1084399.96.cw2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cw2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cw2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59590999
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cw3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.p1', '48.w3', '48.cj2', '48.dm3', '48.ec2', '48.eg2', '48.el3'], 'contains': ['192.z1', '192.ba1', '192.bu1', '192.bx2', '192.cb3'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5708, -1, 3806, -1], 'generators': [14856751009, 2918004048, 19239897888], 'label': '768.1084399.96.cw3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cw3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cw3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591000
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cw4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.p2', '48.w1', '48.cj1', '48.dm4', '48.ec4', '48.eg1', '48.eg2', '48.el1', '48.el3'], 'contains': ['192.z2', '192.ba1', '192.ba2', '192.bu3', '192.bx2', '192.cb1', '192.cb2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6949, -1, 4300, -1], 'generators': [2918004048, 19239897888, 20717187409], 'label': '768.1084399.96.cw4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cw4', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cw4', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591001
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cw5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.p2', '48.w2', '48.cj2', '48.dm5', '48.ec6', '48.eg1', '48.eg2', '48.el1', '48.el2'], 'contains': ['192.z2', '192.ba1', '192.ba2', '192.bu2', '192.bx3', '192.cb1', '192.cb3'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6970, -1, 4267, -1], 'generators': [14856751009, 19239897888, 2918003760], 'label': '768.1084399.96.cw5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cw5', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cw5', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591002
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cw6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.p2', '48.w2', '48.cj3', '48.dm6', '48.ec7', '48.eg1', '48.eg2', '48.el2', '48.el3'], 'contains': ['192.z2', '192.ba1', '192.ba2', '192.bu3', '192.bx1', '192.cb2', '192.cb3'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6960, -1, 4201, -1], 'generators': [20717187409, 2918003760, 1959920208], 'label': '768.1084399.96.cw6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cw6', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cw6', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591003
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '3.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': ['256.a1'], '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'], 'core': '3.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [9005, 7315, 7183, 8002], 'generators': [288, 1959919920, 15335757414, 20717187120, 20717187409, 2918003760, 6438625326, 27909186480], 'label': '768.1084399.3.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '3.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['6.a1', '6.b1', '6.c1', '6.d1', '12.a1'], 'normalizer': '1.a1', 'old_label': '3.a1', 'projective_image': None, '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': None}
  • id: 59591004
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.d1', '6.e1', '6.i1'], 'contains': ['24.e1', '24.bz1', '24.cc1', '24.ce1', '24.cn1', '24.cs1', '24.ct1', '24.db1', '24.dc1'], 'core': '24.e1', 'coset_action_label': None, 'count': 12, 'diagramx': [9542, -1, 7829, -1], 'generators': [27430179840, 288, 15335757414, 2918003760, 32736493855, 20717187120], 'label': '768.1084399.12.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bc1', 'projective_image': None, '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': None}
  • id: 59591005
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cw7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.p2', '48.w3', '48.cj1', '48.dm7', '48.ec5', '48.eg1', '48.eg2', '48.el2'], 'contains': ['192.z2', '192.ba1', '192.ba2', '192.bu1', '192.bx3', '192.cb2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6875, -1, 4431, -1], 'generators': [19239897888, 20717187409, 2918003760], 'label': '768.1084399.96.cw7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cw7', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cw7', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591006
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.q1', '48.w1', '48.cj2', '48.dn1', '48.ed1', '48.eh1', '48.el2'], 'contains': ['192.z1', '192.z2', '192.bu1', '192.bu2', '192.by2'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4581, -1, 3116, -1], 'generators': [14856751009, 19239897600, 2918003760], 'label': '768.1084399.96.cx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591007
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cx2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.q1', '48.w2', '48.cj1', '48.dn2', '48.ed3', '48.eh1', '48.el2', '48.el3'], 'contains': ['192.z1', '192.z2', '192.bu1', '192.bu3', '192.by2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4604, -1, 3182, -1], 'generators': [19239897600, 20717187409, 2918003760], 'label': '768.1084399.96.cx2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cx2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cx2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591009
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.r1', '48.u2', '48.ch1', '48.dp2', '48.dq1', '48.ec4', '48.ec5', '48.ec6', '48.ec7'], 'contains': ['192.ba2', '192.bb1', '192.bc1', '192.bz2', '192.cc1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [4361, -1, 4069, -1], 'generators': [15335757414, 20717187409, 1959920208], 'label': '768.1084399.96.cy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cy1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591010
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cy2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.r2', '48.u1', '48.ch2', '48.dp1', '48.dp2', '48.dq1', '48.dq2', '48.ec1', '48.ec2', '48.ec3', '48.ec4', '48.ec5', '48.ec6', '48.ec7'], 'contains': ['192.ba1', '192.bb2', '192.bc1', '192.bz1', '192.bz2', '192.cc1', '192.cc2'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [3979, -1, 3478, -1], 'generators': [14856751009, 27430179894, 1959920208], 'label': '768.1084399.96.cy2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cy2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cy2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591011
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.s1', '48.v1', '48.ci4', '48.dm1', '48.dm2', '48.dm4', '48.dm6', '48.ec2', '48.ec3', '48.ec5', '48.ec6', '48.ei1', '48.ei2', '48.ek1', '48.ek2'], 'contains': ['192.ba1', '192.bb1', '192.bb2', '192.ca2', '192.ca3', '192.cd1', '192.cd2'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2646, -1, 1473, -1], 'generators': [14856751009, 12936672054, 1959920208], 'label': '768.1084399.96.cz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591012
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.s1', '48.v3', '48.ci3', '48.dm2', '48.dm3', '48.dm5', '48.dm7', '48.ec1', '48.ec3', '48.ec4', '48.ec7', '48.ei1', '48.ei2', '48.ek1', '48.ek2'], 'contains': ['192.ba1', '192.bb1', '192.bb2', '192.ca1', '192.ca3', '192.cd2', '192.cd3'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2768, -1, 1703, -1], 'generators': [14856751009, 26951102694, 1959920208], 'label': '768.1084399.96.cz2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cz2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cz2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591013
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cz3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.s2', '48.v2', '48.ci1', '48.dm4', '48.dm7', '48.ec6', '48.ec7', '48.ei2', '48.ek1'], 'contains': ['192.ba2', '192.bb2', '192.ca1', '192.ca2', '192.cd2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2714, -1, 1768, -1], 'generators': [20717187409, 12936672054, 1959920208], 'label': '768.1084399.96.cz3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cz3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cz3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591014
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.cz4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.s2', '48.v4', '48.ci2', '48.dm5', '48.dm6', '48.ec4', '48.ec5', '48.ei2', '48.ek1'], 'contains': ['192.ba2', '192.bb2', '192.ca3', '192.cd1', '192.cd3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2948, -1, 1801, -1], 'generators': [20717187409, 1959920208, 21675271014], 'label': '768.1084399.96.cz4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.cz4', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.cz4', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591015
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.d1', '6.f1', '6.i1'], 'contains': ['24.cc1', '24.ce1', '24.cu1', '24.cv1', '24.dd1'], 'core': '48.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9046, -1, 7230, -1], 'generators': [7396583455, 288, 15335757414, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.12.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bd1', 'projective_image': None, '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': None}
  • id: 59591016
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.y1', '48.bd1', '48.cl1', '48.do1', '48.ee1', '48.ef1', '48.eg1', '48.eh1'], 'contains': ['192.z2', '192.be1', '192.bh1', '192.bi1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7808, -1, 6440, -1], 'generators': [15335757360, 20717187409, 2918003760], 'label': '768.1084399.96.da1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.da1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.da1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591017
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.da2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.y2', '48.bd1', '48.cl2', '48.do2', '48.ee2', '48.eg2', '48.eh1'], 'contains': ['192.z1', '192.z2', '192.be1', '192.bh2', '192.bi2'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7110, -1, 5746, -1], 'generators': [27430179840, 20717187409, 2918003760], 'label': '768.1084399.96.da2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.da2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.da2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591018
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.y1', '48.be1', '48.cl1', '48.dp1', '48.eg2', '48.ei1', '48.ej1'], 'contains': ['192.ba1', '192.be1', '192.bi1', '192.bk2'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8315, -1, 6506, -1], 'generators': [2918004048, 15335757360, 20717187409], 'label': '768.1084399.96.db1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.db1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.db1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591019
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.db2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.y2', '48.be1', '48.cl2', '48.dp2', '48.eg1', '48.eg2', '48.ei2'], 'contains': ['192.ba1', '192.ba2', '192.be1', '192.bi2', '192.bk1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7846, -1, 5779, -1], 'generators': [2918004048, 27430179840, 20717187409], 'label': '768.1084399.96.db2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.db2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.db2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591020
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.z1', '48.bf1', '48.cm1', '48.do1', '48.dp1', '48.ee2', '48.ei2'], 'contains': ['192.bb2', '192.be1', '192.bj1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6117, -1, 5844, -1], 'generators': [14377673574, 27430179840, 20717187409], 'label': '768.1084399.96.dc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591021
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dc2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.z2', '48.bf1', '48.cm2', '48.do2', '48.dp2', '48.ee1', '48.ee2', '48.ei1', '48.ei2'], 'contains': ['192.bb1', '192.bb2', '192.be1', '192.bj2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4683, -1, 4727, -1], 'generators': [27430179840, 20717187409, 12936672054], 'label': '768.1084399.96.dc2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dc2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dc2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591022
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.ba1', '48.bg1', '48.cn1', '48.ef1', '48.ej1'], 'contains': ['192.bd1', '192.be1', '192.bm1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9537, -1, 9319, -1], 'generators': [27430179840, 20717187409, 6438625326], 'label': '768.1084399.96.dd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.dd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591023
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.br1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bb1', '48.bh1', '48.cp1', '48.ef1', '48.ej1'], 'contains': ['192.be1', '192.bn1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9563, -1, 9421, -1], 'generators': [20717187121, 27430179840, 37536352686], 'label': '768.1084399.96.de1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.de1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.de1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591024
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.y1', '48.y2', '48.cl2', '48.dq1', '48.ek1', '48.el1', '48.el2', '48.el3'], 'contains': ['192.z1', '192.z2', '192.ba1', '192.ba2', '192.bf1', '192.bo1', '192.bp1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7274, -1, 5154, -1], 'generators': [20717187409, 2918003760, 27430180128], 'label': '768.1084399.96.df1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.df1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.df1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591025
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.df2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.y2', '48.cl1', '48.dq2', '48.ek2', '48.el1', '48.el2', '48.el3'], 'contains': ['192.z2', '192.ba1', '192.bf1', '192.bo2', '192.bp2'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7739, -1, 4957, -1], 'generators': [20717187409, 2918003760, 15335757648], 'label': '768.1084399.96.df2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.df2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.df2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591026
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.e1', '6.i1'], 'contains': ['24.e1', '24.cb1', '24.cd1', '24.ce1', '24.cp1', '24.cx1', '24.cy1', '24.db1', '24.dc1'], 'core': '24.e1', 'coset_action_label': None, 'count': 12, 'diagramx': [9711, -1, 7929, -1], 'generators': [27430179840, 288, 21196264609, 15335757414, 20717187120, 6438625326], 'label': '768.1084399.12.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.be1', 'projective_image': None, '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': None}
  • id: 59591027
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.z1', '48.z2', '48.cm2', '48.dq1', '48.ek1', '48.ek2'], 'contains': ['192.bb1', '192.bb2', '192.bf1', '192.bq1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4520, -1, 4004, -1], 'generators': [20717187409, 12936672054, 27430180128], 'label': '768.1084399.96.dg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591028
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.z2', '48.cm1', '48.dq2', '48.ek1', '48.em1'], 'contains': ['192.bb2', '192.bf1', '192.bq2'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5316, -1, 5516, -1], 'generators': [14377673784, 20717187409, 27430180128], 'label': '768.1084399.96.dg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.dg2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dg2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591029
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.ba1', '48.cn1', '48.em1'], 'contains': ['192.bd1', '192.bf1', '192.bs1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9436, -1, 8727, -1], 'generators': [20717187409, 6438625326, 27430180128], 'label': '768.1084399.96.dh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.w1', 'old_label': '96.dh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591030
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.bs1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bc1', '48.cq1', '48.em1'], 'contains': ['192.bf1', '192.bt1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9320, -1, 7707, -1], 'generators': [20717187409, 32257577880, 27430180128], 'label': '768.1084399.96.di1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.w1', 'old_label': '96.di1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.di1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591031
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.y1', '48.df1', '48.dr1', '48.en1', '48.eo1', '48.ep1', '48.eq1', '48.er1'], 'contains': ['192.bg1', '192.bh1', '192.bk2', '192.bo1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7929, -1, 6407, -1], 'generators': [15335757360, 2918003760, 20717187408], 'label': '768.1084399.96.dj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.dj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591032
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.y2', '48.df1', '48.dr2', '48.en2', '48.eo2', '48.er1'], 'contains': ['192.bg1', '192.bh2', '192.bk1', '192.bo1', '192.bo2'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7295, -1, 5286, -1], 'generators': [27430179840, 2918003760, 20717187408], 'label': '768.1084399.96.dj2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dj2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dj2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591033
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.y1', '48.dg1', '48.ds1', '48.en2', '48.es1', '48.et1', '48.eu1'], 'contains': ['192.bg1', '192.bi1', '192.bp1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [8326, -1, 6659, -1], 'generators': [21675271249, 27430179840, 20717187408], 'label': '768.1084399.96.dk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.dk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591034
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dk2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.y2', '48.dg1', '48.ds2', '48.en1', '48.en2', '48.es2'], 'contains': ['192.bg1', '192.bi2', '192.bp1', '192.bp2'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7836, -1, 5811, -1], 'generators': [21196264609, 27430179840, 20717187408], 'label': '768.1084399.96.dk2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dk2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dk2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591035
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.z1', '48.dh1', '48.dr1', '48.ds1', '48.eo2', '48.es2'], 'contains': ['192.bg1', '192.bj1', '192.bq1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6135, -1, 5713, -1], 'generators': [14377673574, 27430179840, 20717187408], 'label': '768.1084399.96.dl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591036
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dl2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.z2', '48.dh1', '48.dr2', '48.ds2', '48.eo1', '48.eo2', '48.es1', '48.es2', '48.ev1', '48.ew1'], 'contains': ['192.bg1', '192.bj2', '192.bq1', '192.bq2'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5163, -1, 5351, -1], 'generators': [27430179840, 12936672054, 20717187408], 'label': '768.1084399.96.dl2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.dl2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dl2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591037
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.f1', '6.i1'], 'contains': ['24.cd1', '24.ce1', '24.cz1', '24.da1', '24.dd1'], 'core': '48.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [9087, -1, 7276, -1], 'generators': [19239897889, 27430179840, 288, 15335757414, 20717187120, 43604794926], 'label': '768.1084399.12.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bf1', 'projective_image': None, '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': None}
  • id: 59591038
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.c1', '48.ba1', '48.ep1', '48.et1', '48.ev1'], 'contains': ['192.bg1', '192.bm1', '192.bs1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9638, -1, 8953, -1], 'generators': [32736493855, 27430179840, 20717187408], 'label': '768.1084399.96.dm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '96.dm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591039
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.br1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bb1', '48.di1', '48.ep1', '48.et1', '48.ew1'], 'contains': ['192.bg1', '192.bn1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [9581, -1, 9101, -1], 'generators': [45081671455, 27430179840, 20717187408], 'label': '768.1084399.96.dn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '96.dn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591040
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.do1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.bs1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.bc1', '48.dj1', '48.eq1', '48.eu1', '48.ev1', '48.ew1'], 'contains': ['192.bg1', '192.bt1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9258, -1, 7572, -1], 'generators': [6917667270, 27430179840, 20717187408], 'label': '768.1084399.96.do1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.g1', 'old_label': '96.do1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.do1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591041
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.p1', '48.q1', '48.cr2', '48.dt1', '48.eg1', '48.eh1', '48.en1', '48.ex1', '48.fb1'], 'contains': ['192.bh1', '192.bi2', '192.bu1', '192.bu2', '192.bu3'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4615, -1, 4595, -1], 'generators': [14856751009, 15335757360, 2918003760], 'label': '768.1084399.96.dp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591042
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dp2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.p2', '48.q1', '48.cr1', '48.dt2', '48.eg2', '48.eh1', '48.en2', '48.ex2', '48.fb1'], 'contains': ['192.bh2', '192.bi1', '192.bi2', '192.bu1', '192.bu2', '192.bu3'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4625, -1, 4891, -1], 'generators': [14856751009, 27430179840, 2918003760], 'label': '768.1084399.96.dp2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dp2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dp2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591043
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.m1', '48.cs1', '48.do1', '48.dr1', '48.dx1', '48.ex1', '48.ey1', '48.ez1'], 'contains': ['192.bh1', '192.bj1', '192.bl1', '192.bv2'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6501, -1, 5483, -1], 'generators': [15335757360, 20717187174, 2918003760], 'label': '768.1084399.96.dq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591044
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.m2', '48.cs2', '48.do2', '48.dr2', '48.dx1', '48.ex2', '48.ey2', '48.ez1'], 'contains': ['192.bh2', '192.bj2', '192.bl1', '192.bv1', '192.bv2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4827, -1, 4497, -1], 'generators': [15335757414, 27430179840, 2918003760], 'label': '768.1084399.96.dq2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dq2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dq2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591045
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.n1', '48.ct1', '48.dt1', '48.du1', '48.dv1', '48.ee1', '48.eo1', '48.ex1', '48.ey1', '48.ez1', '48.fc1'], 'contains': ['192.bh1', '192.bj2', '192.bw1', '192.bw2', '192.bw3'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1451, -1, 1012, -1], 'generators': [19239897654, 15335757360, 2918003760], 'label': '768.1084399.96.dr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dr1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591046
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dr2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.n2', '48.ct2', '48.dt2', '48.du2', '48.dv1', '48.ee2', '48.eo2', '48.ex2', '48.ey2', '48.ez1', '48.fc1'], 'contains': ['192.bh2', '192.bj1', '192.bj2', '192.bw1', '192.bw2', '192.bw3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2512, -1, 1637, -1], 'generators': [19239897654, 27430179840, 2918003760], 'label': '768.1084399.96.dr2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dr2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dr2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591047
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ds1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.p1', '48.cw1', '48.du1', '48.eg1', '48.er1', '48.ey1', '48.fd1'], 'contains': ['192.bh1', '192.bk1', '192.bx1', '192.bx2', '192.bx3'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5217, -1, 2886, -1], 'generators': [15335757360, 27909186768, 2918003760], 'label': '768.1084399.96.ds1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ds1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ds1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591048
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.b1', '6.i1'], 'contains': ['24.cq1', '24.cs1', '24.cu1', '24.cx1', '24.cz1', '24.dp1', '24.ds1'], 'core': '48.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [9111, -1, 9101, -1], 'generators': [19239897889, 288, 27430179840, 20717187120, 2918003760, 6438625326], 'label': '768.1084399.12.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bg1', 'projective_image': None, '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': None}
  • id: 59591049
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ds2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.p2', '48.cw1', '48.du2', '48.eg2', '48.er1', '48.ey2', '48.fd1'], 'contains': ['192.bh2', '192.bk1', '192.bk2', '192.bx1', '192.bx2', '192.bx3'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5284, -1, 3313, -1], 'generators': [27909186768, 27430179840, 2918003760], 'label': '768.1084399.96.ds2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ds2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ds2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591050
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.o1', '48.cu1', '48.ef1', '48.ep1', '48.fe1'], 'contains': ['192.bh1', '192.bm1', '192.bn1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9607, -1, 9350, -1], 'generators': [15335757360, 32736493855, 2918003760], 'label': '768.1084399.96.dt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.dt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dt1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591051
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.du1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.e1', '48.q1', '48.cw1', '48.dv1', '48.eh1', '48.er1', '48.ez1'], 'contains': ['192.bh1', '192.bh2', '192.by1', '192.by2'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [4500, -1, 3018, -1], 'generators': [1959919920, 20717187120, 2918003760], 'label': '768.1084399.96.du1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.du1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.du1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591052
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.m1', '48.r1', '48.cx1', '48.do1', '48.dp1', '48.ds1', '48.dy1', '48.ex2', '48.fa1'], 'contains': ['192.bi1', '192.bj1', '192.bl1', '192.bz2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6918, -1, 5910, -1], 'generators': [21675271249, 15335757414, 27430179840], 'label': '768.1084399.96.dv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591053
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dv2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.m2', '48.r2', '48.cx2', '48.do2', '48.dp2', '48.ds2', '48.dy1', '48.ex1', '48.ex2', '48.fa1', '48.fa2'], 'contains': ['192.bi2', '192.bj2', '192.bl1', '192.bz1', '192.bz2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [5120, -1, 4858, -1], 'generators': [15335757414, 21196264609, 27430179840], 'label': '768.1084399.96.dv2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dv2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dv2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591054
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.n1', '48.s2', '48.cy1', '48.dt2', '48.dw1', '48.ee1', '48.ei1', '48.es1', '48.ex2', '48.fa1', '48.fg1'], 'contains': ['192.bi1', '192.bj2', '192.ca1', '192.ca2', '192.ca3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2683, -1, 2985, -1], 'generators': [21675271249, 27430179840, 12936672054], 'label': '768.1084399.96.dw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591055
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dw2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.n2', '48.s1', '48.cy2', '48.dt1', '48.dt2', '48.dw1', '48.dw2', '48.ee2', '48.ei2', '48.es2', '48.ex1', '48.ex2', '48.fa1', '48.fa2', '48.fg1'], 'contains': ['192.bi2', '192.bj1', '192.bj2', '192.ca1', '192.ca2', '192.ca3'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [3470, -1, 2952, -1], 'generators': [14856750774, 21196264609, 27430179840], 'label': '768.1084399.96.dw2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dw2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dw2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591056
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.o1', '48.t1', '48.cz1', '48.ef1', '48.ej1', '48.et1', '48.fh1'], 'contains': ['192.bi1', '192.bm1', '192.bn1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [9627, -1, 9578, -1], 'generators': [21675271249, 27430179840, 6438625326], 'label': '768.1084399.96.dx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.dx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591057
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.p1', '48.p2', '48.cr1', '48.dw1', '48.eg1', '48.eg2', '48.en2', '48.fa1', '48.fj1'], 'contains': ['192.bi1', '192.bi2', '192.bk1', '192.cb1', '192.cb2', '192.cb3'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7285, -1, 5220, -1], 'generators': [14856751009, 2918004048, 27430179840], 'label': '768.1084399.96.dy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dy1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591058
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dy2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.p2', '48.cr2', '48.dw2', '48.eg2', '48.en1', '48.fa2', '48.fj1'], 'contains': ['192.bi2', '192.bk2', '192.cb1', '192.cb2', '192.cb3'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7264, -1, 5023, -1], 'generators': [14856751009, 2918004048, 15335757360], 'label': '768.1084399.96.dy2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dy2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dy2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591059
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['6.c1', '6.i1'], 'contains': ['24.cq1', '24.ct1', '24.cv1', '24.cy1', '24.da1'], 'core': '48.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [9139, -1, 6802, -1], 'generators': [19239897889, 288, 27430179840, 20717187120, 44602755270, 2918003760], 'label': '768.1084399.12.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bh1', 'projective_image': None, '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': None}
  • id: 59591060
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.r1', '48.cs1', '48.dp1', '48.dr1', '48.dz1', '48.ey2', '48.fa2'], 'contains': ['192.bj1', '192.bk2', '192.bl1', '192.cc1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6896, -1, 5877, -1], 'generators': [2918004048, 15335757360, 20717187174], 'label': '768.1084399.96.dz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591061
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.dz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.r2', '48.cs2', '48.dp2', '48.dr2', '48.dz1', '48.ey1', '48.ey2', '48.fa1'], 'contains': ['192.bj2', '192.bk1', '192.bl1', '192.cc1', '192.cc2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5131, -1, 4694, -1], 'generators': [2918004048, 15335757414, 27430179840], 'label': '768.1084399.96.dz2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.dz2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.dz2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591062
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ea1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.s1', '48.ct2', '48.du1', '48.du2', '48.dw1', '48.ei2', '48.eo2', '48.ey1', '48.ey2', '48.fa1', '48.fk1'], 'contains': ['192.bj1', '192.bj2', '192.bk1', '192.cd1', '192.cd2', '192.cd3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3936, -1, 1670, -1], 'generators': [19239897654, 2918004048, 27430179840], 'label': '768.1084399.96.ea1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ea1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ea1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591063
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ea2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.s2', '48.ct1', '48.du2', '48.dw2', '48.ei1', '48.eo1', '48.ey2', '48.fa2', '48.fk1'], 'contains': ['192.bj2', '192.bk2', '192.cd1', '192.cd2', '192.cd3'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3909, -1, 1867, -1], 'generators': [19239897654, 2918004048, 15335757360], 'label': '768.1084399.96.ea2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ea2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ea2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591064
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.eb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.t1', '48.cu1', '48.ej1', '48.ep1', '48.fl1'], 'contains': ['192.bk2', '192.bm1', '192.bn1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9650, -1, 9379, -1], 'generators': [2918004048, 15335757360, 32736493855], 'label': '768.1084399.96.eb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '96.eb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591065
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ec1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.e1', '48.bd1', '48.df1', '48.dx1', '48.fb1', '48.fc1', '48.fd1', '48.fe1', '48.ff1'], 'contains': ['192.c1', '192.bh1', '192.bh2'], 'core': '192.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [7232, -1, 6539, -1], 'generators': [27430179840, 20717187120, 2918003760], 'label': '768.1084399.96.ec1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ec1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ec1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591066
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ed1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bd1', '48.be1', '48.dg1', '48.dy1', '48.fb1', '48.fg1', '48.fh1', '48.fi1', '48.fj1'], 'contains': ['192.c1', '192.bi1', '192.bi2'], 'core': '192.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [8305, -1, 6758, -1], 'generators': [21196264609, 27430179840, 20717187120], 'label': '768.1084399.96.ed1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ed1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ed1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591067
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ee1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bf1', '48.dh1', '48.dx1', '48.dy1', '48.dz1', '48.fc1', '48.fg1', '48.fk1'], 'contains': ['192.c1', '192.bj1', '192.bj2'], 'core': '192.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [6149, -1, 5943, -1], 'generators': [27430179840, 20717187120, 12936672054], 'label': '768.1084399.96.ee1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ee1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ee1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591068
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ef1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['48.be1', '48.df1', '48.dz1', '48.fd1', '48.fj1', '48.fk1', '48.fl1', '48.fm1'], 'contains': ['192.c1', '192.bk1', '192.bk2'], 'core': '192.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [8336, -1, 6725, -1], 'generators': [2918004048, 27430179840, 20717187120], 'label': '768.1084399.96.ef1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '96.ef1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ef1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591069
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.eg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.k1', '48.c1', '48.bg1', '48.fe1', '48.fh1', '48.fl1'], 'contains': ['192.c1', '192.bm1'], 'core': '192.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [9383, -1, 9145, -1], 'generators': [32736493855, 27430179840, 20717187120], 'label': '768.1084399.96.eg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '96.eg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591070
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.d1', '6.g1', '6.i1'], 'contains': ['24.cr1', '24.cs1', '24.cv1', '24.db1', '24.dd1', '24.dn1'], 'core': '48.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [9162, -1, 6974, -1], 'generators': [14856750774, 288, 32736493855, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.12.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591071
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.eh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.br1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.bh1', '48.di1', '48.fe1', '48.ff1', '48.fh1', '48.fi1', '48.fl1', '48.fm1'], 'contains': ['192.c1', '192.bn1'], 'core': '192.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [9286, -1, 9188, -1], 'generators': [38973675295, 27430179840, 20717187120], 'label': '768.1084399.96.eh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.b1', 'old_label': '96.eh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591072
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ei1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.w1', '48.w2', '48.cr1', '48.ea1', '48.el1', '48.el2', '48.en1', '48.en2', '48.fn2'], 'contains': ['192.bo1', '192.bp1', '192.bp2', '192.bu2', '192.bu3', '192.cb1', '192.cb2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6981, -1, 4365, -1], 'generators': [19239897601, 2918003760, 27430180128], 'label': '768.1084399.96.ei1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ei1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ei1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591073
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ei2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.w1', '48.w3', '48.cr2', '48.ea2', '48.el2', '48.en2', '48.fn1'], 'contains': ['192.bo2', '192.bp1', '192.bu1', '192.bu2', '192.cb2'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6885, -1, 3346, -1], 'generators': [14856751009, 2918003760, 15335757648], 'label': '768.1084399.96.ei2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ei2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ei2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591074
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ei3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.w2', '48.w3', '48.cr1', '48.ea3', '48.el2', '48.el3', '48.en1', '48.en2', '48.fn3'], 'contains': ['192.bo1', '192.bp1', '192.bp2', '192.bu1', '192.bu3', '192.cb2', '192.cb3'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [7002, -1, 4332, -1], 'generators': [1959919921, 2918003760, 27430180128], 'label': '768.1084399.96.ei3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ei3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ei3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591075
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ei4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.w2', '48.cr2', '48.ea4', '48.el1', '48.el3', '48.en2', '48.fn4'], 'contains': ['192.bo2', '192.bp1', '192.bu3', '192.cb1', '192.cb3'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6991, -1, 4234, -1], 'generators': [19239897601, 2918003760, 15335757648], 'label': '768.1084399.96.ei4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ei4', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ei4', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591076
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ej1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.u1', '48.cs2', '48.dq1', '48.dr1', '48.dr2', '48.fn2', '48.fn3', '48.fo1', '48.fo2', '48.fo3'], 'contains': ['192.bo1', '192.bq1', '192.br1', '192.bv1', '192.bv2', '192.cc1', '192.cc2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3967, -1, 2722, -1], 'generators': [15335757414, 2918003760, 27430180128], 'label': '768.1084399.96.ej1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ej1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ej1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591077
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ej2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.u2', '48.cs1', '48.dq2', '48.dr2', '48.fn1', '48.fn4', '48.fo1', '48.fo2', '48.fo3'], 'contains': ['192.bo2', '192.bq2', '192.br1', '192.bv2', '192.cc1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4735, -1, 2820, -1], 'generators': [2918003760, 20717187384, 15335757648], 'label': '768.1084399.96.ej2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ej2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ej2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591078
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ek1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.v1', '48.ct2', '48.ea1', '48.eb1', '48.eb2', '48.ek1', '48.eo1', '48.eo2', '48.fn3', '48.fo2', '48.fo3'], 'contains': ['192.bo1', '192.bq1', '192.bq2', '192.bw2', '192.bw3', '192.cd1', '192.cd2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2725, -1, 914, -1], 'generators': [14856750984, 2918003760, 27430180128], 'label': '768.1084399.96.ek1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ek1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ek1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591079
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ek2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.v2', '48.ct1', '48.ea2', '48.eb1', '48.eb3', '48.ek2', '48.eo2', '48.fn4', '48.fo3'], 'contains': ['192.bo2', '192.bq1', '192.bw1', '192.bw2', '192.cd2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2079, -1, 881, -1], 'generators': [14856750984, 2918003760, 15335757648], 'label': '768.1084399.96.ek2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ek2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ek2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591080
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ek3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.v3', '48.ct2', '48.ea3', '48.eb2', '48.eb3', '48.ek1', '48.eo1', '48.eo2', '48.fn2', '48.fo1', '48.fo3'], 'contains': ['192.bo1', '192.bq1', '192.bq2', '192.bw1', '192.bw3', '192.cd2', '192.cd3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2938, -1, 947, -1], 'generators': [27909186744, 2918003760, 27430180128], 'label': '768.1084399.96.ek3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ek3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ek3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591081
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.d1', '6.h1', '6.i1'], 'contains': ['24.cr1', '24.ct1', '24.cu1', '24.dc1', '24.dd1'], 'core': '48.d1', 'coset_action_label': None, 'count': 12, 'diagramx': [9185, -1, 7384, -1], 'generators': [14856750774, 7396583455, 288, 27430179840, 20717187120, 2918003760], 'label': '768.1084399.12.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591082
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ek4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.v4', '48.ct1', '48.ea4', '48.eb2', '48.ek2', '48.eo2', '48.fn1', '48.fo1', '48.fo2'], 'contains': ['192.bo2', '192.bq1', '192.bw3', '192.cd1', '192.cd3'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3139, -1, 980, -1], 'generators': [19239897654, 2918003760, 15335757648], 'label': '768.1084399.96.ek4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ek4', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ek4', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591083
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.el1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.w1', '48.cw1', '48.eb1', '48.el3', '48.er1', '48.fo1'], 'contains': ['192.bo1', '192.bo2', '192.bx1', '192.bx2', '192.by2'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5099, -1, 1900, -1], 'generators': [1959919920, 21196264320, 20717187408], 'label': '768.1084399.96.el1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.el1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.el1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591084
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.el2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['48.w2', '48.cw1', '48.eb2', '48.el2', '48.er1', '48.fo3'], 'contains': ['192.bo1', '192.bo2', '192.bx1', '192.bx3', '192.by2'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5068, -1, 2064, -1], 'generators': [19239897600, 2918003760, 20717187408], 'label': '768.1084399.96.el2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.el2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.el2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591085
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.el3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['48.w3', '48.cw1', '48.eb3', '48.el1', '48.er1', '48.fo2'], 'contains': ['192.bo1', '192.bo2', '192.bx2', '192.bx3', '192.by1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5089, -1, 1933, -1], 'generators': [1959919920, 2918003760, 20717187408], 'label': '768.1084399.96.el3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.el3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.el3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591086
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.em1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.u1', '48.cx2', '48.dq1', '48.ds1', '48.ds2', '48.fn1', '48.fn2', '48.fn3', '48.fn4'], 'contains': ['192.bp1', '192.bq1', '192.br1', '192.bz1', '192.bz2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [4704, -1, 4102, -1], 'generators': [15335757414, 21196264609, 27430180128], 'label': '768.1084399.96.em1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.em1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.em1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591087
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.em2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.u2', '48.cx1', '48.dq2', '48.ds2', '48.fn2', '48.fn3'], 'contains': ['192.bp2', '192.bq2', '192.br1', '192.bz2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6247, -1, 4826, -1], 'generators': [15335757414, 21675270961, 27430180128], 'label': '768.1084399.96.em2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.em2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.em2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591088
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.en1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.v1', '48.v3', '48.cy2', '48.ea1', '48.ea2', '48.ea3', '48.ea4', '48.ek1', '48.es1', '48.es2', '48.fn1', '48.fn2', '48.fn3', '48.fn4'], 'contains': ['192.bp1', '192.bq1', '192.bq2', '192.ca1', '192.ca2', '192.ca3'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2704, -1, 2327, -1], 'generators': [14856750984, 21196264609, 27430180128], 'label': '768.1084399.96.en1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.en1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.en1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591089
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.en2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.v2', '48.v4', '48.cy1', '48.ea1', '48.ea3', '48.ek2', '48.es2', '48.fn2', '48.fn3'], 'contains': ['192.bp2', '192.bq1', '192.ca1', '192.ca2', '192.ca3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2535, -1, 2130, -1], 'generators': [12936672054, 21675270961, 27430180128], 'label': '768.1084399.96.en2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.en2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.en2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591090
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.eo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.x1', '48.db1', '48.em1', '48.ev1'], 'contains': ['192.bq2', '192.bs1', '192.bt1'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [9341, -1, 7776, -1], 'generators': [14377673784, 32736493855, 27430180128], 'label': '768.1084399.96.eo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.w1', 'old_label': '96.eo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eo1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591091
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ep1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.bi1', '48.bj3', '48.dk7', '48.dm3', '48.dn1', '48.dt1', '48.ea2', '48.ec5', '48.ed3', '48.ex2', '48.fn3'], 'contains': ['192.bu1', '192.bv1', '192.bw2', '192.bz2', '192.ca3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1152, -1, 1210, -1], 'generators': [19239897654, 1959919920, 2918004049], 'label': '768.1084399.96.ep1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ep1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ep1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591092
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.g1', '6.i1'], 'contains': ['24.cw1', '24.cx1', '24.da1', '24.db1', '24.dd1', '24.do1'], 'core': '48.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [9208, -1, 7074, -1], 'generators': [14856750774, 288, 27430179840, 21196264609, 20717187120, 6438625326], 'label': '768.1084399.12.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591093
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ep2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.bi2', '48.bj2', '48.dk3', '48.dm2', '48.dn2', '48.dt1', '48.ea4', '48.ec4', '48.ec7', '48.ed2', '48.ed3', '48.ex2', '48.fn2', '48.fn3'], 'contains': ['192.bu3', '192.bv1', '192.bw3', '192.bz2', '192.ca1', '192.ca3'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [1824, -1, 1407, -1], 'generators': [14377673809, 1959919920, 26951102694], 'label': '768.1084399.96.ep2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ep2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ep2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591094
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ep3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.bi3', '48.bj1', '48.dk2', '48.dm1', '48.dn3', '48.dt1', '48.ea2', '48.ec6', '48.ed1', '48.ex2', '48.fn2'], 'contains': ['192.bu2', '192.bv1', '192.bw1', '192.bz2', '192.ca2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1218, -1, 1275, -1], 'generators': [19239897654, 1959919920, 21196264609], 'label': '768.1084399.96.ep3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ep3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ep3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591095
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ep4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.bi4', '48.bj2', '48.dk4', '48.dm5', '48.dn1', '48.dt2', '48.ea1', '48.ec1', '48.ec6', '48.ed1', '48.ed2', '48.ex1', '48.ex2', '48.fn1', '48.fn2'], 'contains': ['192.bu2', '192.bv2', '192.bw3', '192.bz1', '192.bz2', '192.ca1', '192.ca3'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2058, -1, 2163, -1], 'generators': [1959919920, 15335757414, 21196264609], 'label': '768.1084399.96.ep4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ep4', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ep4', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591096
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ep5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.bi5', '48.bj3', '48.dk6', '48.dm7', '48.dn2', '48.dt2', '48.ea3', '48.ec2', '48.ec5', '48.ed1', '48.ed3', '48.ex1', '48.ex2', '48.fn1', '48.fn3'], 'contains': ['192.bu1', '192.bv2', '192.bw3', '192.bz1', '192.bz2', '192.ca2', '192.ca3'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [1865, -1, 1736, -1], 'generators': [1959919920, 15335757414, 2918004049], 'label': '768.1084399.96.ep5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ep5', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ep5', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591097
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ep6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.bi6', '48.bj1', '48.dk1', '48.dm4', '48.dn2', '48.dt2', '48.ea1', '48.ec3', '48.ec7', '48.ed2', '48.ed3', '48.ex1', '48.ex2', '48.fn3', '48.fn4'], 'contains': ['192.bu3', '192.bv2', '192.bw2', '192.bz1', '192.bz2', '192.ca1', '192.ca2'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [1900, -1, 1999, -1], 'generators': [14377673809, 1959919920, 27430179894], 'label': '768.1084399.96.ep6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ep6', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ep6', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591098
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.ep7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.bi7', '48.bj2', '48.dk5', '48.dm6', '48.dn3', '48.dt2', '48.ea3', '48.ec3', '48.ec4', '48.ed3', '48.ex1', '48.ex2', '48.fn2', '48.fn4'], 'contains': ['192.bu3', '192.bv2', '192.bw1', '192.bz1', '192.bz2', '192.ca3'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2501, -1, 2196, -1], 'generators': [14377673809, 1959919920, 15335757414], 'label': '768.1084399.96.ep7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.ep7', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.ep7', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591099
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.eq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.bi1', '48.dl3', '48.dm1', '48.du1', '48.eb1', '48.ec7', '48.ey2', '48.fo3'], 'contains': ['192.bv1', '192.bw2', '192.bx1', '192.cc1', '192.cd2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2068, -1, 651, -1], 'generators': [15335757414, 2918003760, 1959920208], 'label': '768.1084399.96.eq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.eq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591100
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.eq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.bi2', '48.dl2', '48.dm2', '48.du1', '48.eb2', '48.ec5', '48.ec6', '48.ey2', '48.fo2', '48.fo3'], 'contains': ['192.bv1', '192.bw3', '192.bx3', '192.cc1', '192.cd1', '192.cd2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2636, -1, 717, -1], 'generators': [15335757414, 19239897888, 2918003760], 'label': '768.1084399.96.eq2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.eq2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eq2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591101
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.eq3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.bi3', '48.dl1', '48.dm3', '48.du1', '48.eb3', '48.ec4', '48.ey2', '48.fo1'], 'contains': ['192.bv1', '192.bw1', '192.bx2', '192.cc1', '192.cd3'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2927, -1, 684, -1], 'generators': [2918004048, 14856750984, 19239897888], 'label': '768.1084399.96.eq3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.eq3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eq3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591102
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.eq4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.bi4', '48.dl2', '48.dm4', '48.du2', '48.eb1', '48.ec2', '48.ec4', '48.ey1', '48.ey2', '48.fo1', '48.fo2'], 'contains': ['192.bv2', '192.bw3', '192.bx2', '192.cc1', '192.cc2', '192.cd1', '192.cd2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3328, -1, 815, -1], 'generators': [2918004048, 15335757414, 19239897888], 'label': '768.1084399.96.eq4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.eq4', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eq4', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591103
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '12.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['6.h1', '6.i1'], 'contains': ['24.cw1', '24.cy1', '24.cz1', '24.dc1', '24.dd1'], 'core': '48.d1', 'coset_action_label': None, 'count': 12, 'diagramx': [9452, -1, 7514, -1], 'generators': [19239897889, 43604794926, 288, 27430179840, 20717187120, 12936672054], 'label': '768.1084399.12.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '3.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '12.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12.bl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591104
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.eq5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.bi5', '48.dl3', '48.dm6', '48.du2', '48.eb2', '48.ec1', '48.ec7', '48.ey1', '48.ey2', '48.fo1', '48.fo3'], 'contains': ['192.bv2', '192.bw3', '192.bx1', '192.cc1', '192.cc2', '192.cd2', '192.cd3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3388, -1, 749, -1], 'generators': [27430179894, 2918003760, 1959920208], 'label': '768.1084399.96.eq5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.eq5', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eq5', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591105
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.eq6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.bi6', '48.dl1', '48.dm5', '48.du2', '48.eb2', '48.ec3', '48.ec5', '48.ey1', '48.ey2', '48.fo2', '48.fo3'], 'contains': ['192.bv2', '192.bw2', '192.bx3', '192.cc1', '192.cc2', '192.cd1', '192.cd3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3129, -1, 782, -1], 'generators': [14856750984, 19239897888, 2918003760], 'label': '768.1084399.96.eq6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.eq6', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eq6', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591106
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.eq7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.bi7', '48.dl2', '48.dm7', '48.du2', '48.eb3', '48.ec3', '48.ec6', '48.ey1', '48.ey2', '48.fo3'], 'contains': ['192.bv2', '192.bw1', '192.bx3', '192.cc1', '192.cc2', '192.cd2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3481, -1, 848, -1], 'generators': [19239897888, 2918003760, 20717187384], 'label': '768.1084399.96.eq7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.eq7', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.eq7', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591107
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.er1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.bj1', '48.dl1', '48.dn1', '48.dv1', '48.eb1', '48.ed3', '48.ez1', '48.fo3'], 'contains': ['192.bv1', '192.bv2', '192.bw1', '192.bw2', '192.by2'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [621, -1, 486, -1], 'generators': [14856750774, 19239897600, 2918003760], 'label': '768.1084399.96.er1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.er1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.er1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591108
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.er2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.bj2', '48.dl2', '48.dn2', '48.dv1', '48.eb2', '48.ed1', '48.ed3', '48.ez1', '48.fo1', '48.fo3'], 'contains': ['192.bv1', '192.bv2', '192.bw1', '192.bw3', '192.by2'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [1142, -1, 618, -1], 'generators': [19239897600, 15335757414, 2918003760], 'label': '768.1084399.96.er2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.er2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.er2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591109
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.er3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['48.bj3', '48.dl3', '48.dn3', '48.dv1', '48.eb3', '48.ed2', '48.ez1', '48.fo2'], 'contains': ['192.bv1', '192.bv2', '192.bw2', '192.bw3', '192.by1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [610, -1, 552, -1], 'generators': [1959919920, 15335757414, 2918003760], 'label': '768.1084399.96.er3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.er3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.er3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591110
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.es1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.bi1', '48.bi5', '48.dk6', '48.dm2', '48.dm4', '48.dw1', '48.ea1', '48.ec3', '48.ec4', '48.ec6', '48.fa1', '48.fa2', '48.fn2', '48.fn4'], 'contains': ['192.bz1', '192.bz2', '192.ca2', '192.ca3', '192.cb1', '192.cc1', '192.cd2'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [3171, -1, 2229, -1], 'generators': [15335757414, 2918004049, 1959920208], 'label': '768.1084399.96.es1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.es1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.es1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591111
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.es2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.bi2', '48.bi4', '48.dk5', '48.dm1', '48.dm6', '48.dw1', '48.ea1', '48.ec3', '48.ec4', '48.ec5', '48.fa1', '48.fa2', '48.fn1', '48.fn3'], 'contains': ['192.bz1', '192.bz2', '192.ca3', '192.cb2', '192.cc1', '192.cd1'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [3204, -1, 2261, -1], 'generators': [14377673809, 15335757414, 1959920208], 'label': '768.1084399.96.es2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.es2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.es2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591112
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.es3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.bi2', '48.bi7', '48.dk4', '48.dm3', '48.dm5', '48.dw1', '48.ea3', '48.ec2', '48.ec6', '48.ec7', '48.fa1', '48.fa2', '48.fn3', '48.fn4'], 'contains': ['192.bz1', '192.bz2', '192.ca1', '192.ca3', '192.cb3', '192.cc1', '192.cd2'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [3160, -1, 2294, -1], 'generators': [15335757414, 21196264609, 1959920208], 'label': '768.1084399.96.es3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.es3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.es3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591113
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.es4', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.bi3', '48.bi6', '48.dk1', '48.dm2', '48.dm7', '48.dw1', '48.ea3', '48.ec1', '48.ec4', '48.ec5', '48.ec7', '48.fa1', '48.fa2', '48.fn1', '48.fn2'], 'contains': ['192.bz1', '192.bz2', '192.ca1', '192.ca2', '192.cb2', '192.cc1', '192.cd3'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [3150, -1, 2360, -1], 'generators': [14377673809, 27430179894, 1959920208], 'label': '768.1084399.96.es4', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.es4', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.es4', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591114
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.a1', '2.b1', '2.c1'], 'contains': ['8.a1', '8.b1', '12.b1', '16.f1', '16.g1'], 'core': '4.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5345, 679, 5611, 677], 'generators': [79914240, 288, 1959919920, 20717187120, 20717187409, 2918003760, 27909186480], 'label': '768.1084399.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1', '2.c1'], 'normal_contains': ['8.a1', '8.b1', '12.b1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591115
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': ['48.bm1', '48.ck1', '48.bx1', '48.bz1', '48.em1', '48.x1'], 'conjugacy_class_count': 1, 'contained_in': ['8.a1', '8.b1', '8.h1', '8.i1'], 'contains': ['48.e1', '64.g1', '64.h1'], 'core': '16.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5086, 1775, 5062, 2873], 'generators': [79914240, 1959919920, 20717187120, 2918003760, 27909186480], 'label': '768.1084399.16.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1'], 'normal_contains': ['48.e1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591116
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.es5', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['48.bi4', '48.bi7', '48.dk3', '48.dm4', '48.dm7', '48.dw2', '48.ea2', '48.ec1', '48.ec3', '48.ec5', '48.ec7', '48.fa1', '48.fn2', '48.fn3'], 'contains': ['192.bz2', '192.ca1', '192.ca3', '192.cb2', '192.cc2', '192.cd2'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2959, -1, 2031, -1], 'generators': [14377673809, 26951102694, 1959920208], 'label': '768.1084399.96.es5', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.es5', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.es5', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591117
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.es6', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.bi5', '48.dk7', '48.dm5', '48.dw2', '48.ea4', '48.ec3', '48.ec4', '48.fa1', '48.fn2'], 'contains': ['192.bz2', '192.ca3', '192.cb1', '192.cc2', '192.cd3'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3641, -1, 2426, -1], 'generators': [19239897654, 2918004049, 1959920208], 'label': '768.1084399.96.es6', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.es6', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.es6', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591118
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '96.es7', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['48.bi6', '48.dk2', '48.dm6', '48.dw2', '48.ea4', '48.ec2', '48.ec6', '48.fa1', '48.fn3'], 'contains': ['192.bz2', '192.ca2', '192.cb3', '192.cc2', '192.cd1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3629, -1, 2459, -1], 'generators': [19239897654, 21196264609, 1959920208], 'label': '768.1084399.96.es7', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '96.es7', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96.es7', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591119
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '128.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['32.a1', '32.b1', '64.a1', '64.b1', '64.c1'], 'contains': ['256.a1', '384.a1'], 'core': '384.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [2247, -1, 6309, -1], 'generators': [79914240, 289], 'label': '768.1084399.128.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.e1', 'old_label': '128.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591123
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.c1', '96.b1', '96.z1', '96.ba1', '96.bb1', '96.bc1', '96.bd1', '96.be1'], 'contains': ['384.a1', '384.b1'], 'core': '192.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7449, 9321, 6342, 8817], 'generators': [288, 289], 'label': '768.1084399.192.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '192.a1', 'normal_contained_in': ['48.a1', '96.b1'], 'normal_contains': ['384.a1', '384.b1'], 'normalizer': '1.a1', 'old_label': '192.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591124
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': ['4.f1'], 'conjugacy_class_count': 2, 'contained_in': ['64.d1', '96.b1', '96.bf1', '96.bg1', '96.bh1', '96.bi1', '96.bj1'], 'contains': ['384.b1', '384.c1'], 'core': '192.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [6428, 8737, 6178, 8236], 'generators': [54, 288], 'label': '768.1084399.192.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '192.b1', 'normal_contained_in': ['48.b1', '96.b1'], 'normal_contains': ['384.b1'], 'normalizer': '1.a1', 'old_label': '192.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591125
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.g1', '96.a1', '96.c1', '96.cn1', '96.ec1', '96.ed1', '96.ee1', '96.ef1', '96.eg1', '96.eh1'], 'contains': ['384.e1'], 'core': '192.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [7862, 7422, 6758, 7513], 'generators': [27430179840, 20717187120], 'label': '768.1084399.192.c1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '192.c1', 'normal_contained_in': ['48.e1', '96.a1', '96.c1'], 'normal_contains': ['768.a1'], 'normalizer': '1.a1', 'old_label': '192.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591126
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.e1', '8.c1'], 'contains': ['32.a1', '32.i1', '48.j1', '64.a1'], 'core': '96.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [5035, -1, 6065, -1], 'generators': [79914240, 15335757414, 27430179840, 20717187120, 20717187409], 'label': '768.1084399.16.b1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.c1', 'old_label': '16.b1', 'projective_image': None, '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': None}
  • id: 59591127
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.a1', '96.b1', '96.d1', '96.e1', '96.f1', '96.g1'], 'contains': ['384.a1', '384.c1'], 'core': '384.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3583, -1, 5481, -1], 'generators': [54, 289], 'label': '768.1084399.192.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '192.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591128
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.a1', '96.d1', '96.h1', '96.h2', '96.i1', '96.i2', '96.j1', '96.j2', '96.k1', '96.l1', '96.m1', '96.s1', '96.z1'], 'contains': ['384.a1', '384.d1', '384.e1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7364, -1, 6277, -1], 'generators': [27430179840, 289], 'label': '768.1084399.192.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591129
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.e1', '96.n1', '96.n2', '96.o1', '96.o2', '96.p1', '96.q1', '96.r1', '96.s1', '96.z1'], 'contains': ['384.a1', '384.d1', '384.f1'], 'core': '384.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7207, -1, 5943, -1], 'generators': [289, 27430180128], 'label': '768.1084399.192.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591130
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.f1', '96.h1', '96.h2', '96.n1', '96.n2', '96.t1', '96.t2', '96.u1', '96.u2', '96.u3', '96.v1', '96.v2', '96.v3', '96.w1', '96.w2', '96.ba1'], 'contains': ['384.a1', '384.g1', '384.h1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4728, -1, 3576, -1], 'generators': [1959919920, 289], 'label': '768.1084399.192.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591131
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.g1', '96.i1', '96.i2', '96.n1', '96.n2', '96.v1', '96.v2', '96.v3', '96.x1', '96.x2', '96.y1', '96.y2', '96.y3', '96.ba1'], 'contains': ['384.a1', '384.h1', '384.j1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5144, -1, 3741, -1], 'generators': [289, 1959920208], 'label': '768.1084399.192.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591132
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.f1', '96.g1', '96.j1', '96.j2', '96.o1', '96.o2', '96.t1', '96.t2', '96.u1', '96.u2', '96.u3', '96.x1', '96.x2', '96.y1', '96.y2', '96.y3', '96.bb1'], 'contains': ['384.a1', '384.i1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3200, -1, 3116, -1], 'generators': [14856750774, 289], 'label': '768.1084399.192.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591133
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.d1', '96.e1', '96.k1', '96.p1', '96.t1', '96.t2', '96.x1', '96.x2', '96.bc1'], 'contains': ['384.a1', '384.k1'], 'core': '384.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5219, -1, 5612, -1], 'generators': [15335757414, 289], 'label': '768.1084399.192.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591134
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.b1', '96.l1', '96.q1', '96.bd1'], 'contains': ['384.a1', '384.l1'], 'core': '384.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [8613, -1, 8409, -1], 'generators': [1, 6438625326], 'label': '768.1084399.192.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.e1', 'old_label': '192.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591135
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.z1', '96.bf1', '96.bk1', '96.bk2', '96.bl1', '96.bl2', '96.bm1', '96.bn1', '96.bo1', '96.bp1'], 'contains': ['384.b1', '384.d1'], 'core': '384.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [7898, -1, 6374, -1], 'generators': [288, 20717187409], 'label': '768.1084399.192.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591136
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.c1', '96.z1', '96.bg1', '96.bp1', '96.bq1', '96.bq2', '96.br1', '96.br2', '96.bs1', '96.bs2', '96.bt1', '96.bu1', '96.bv1', '96.bw1', '96.bx1'], 'contains': ['384.b1', '384.e1', '384.f1'], 'core': '384.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [8623, -1, 6708, -1], 'generators': [288, 27430179840], 'label': '768.1084399.192.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591137
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['4.e1', '8.d1'], 'contains': ['32.b1', '32.j1', '48.l1', '64.a1'], 'core': '384.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [23, -1, 450, -1], 'generators': [79914240, 1959919920, 1959919974, 289, 2918003760], 'label': '768.1084399.16.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1', 'old_label': '16.c1', 'projective_image': None, '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': None}
  • id: 59591138
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.ba1', '96.bh1', '96.bk1', '96.bk2', '96.bq1', '96.bq2', '96.by1', '96.by2', '96.by3', '96.bz1', '96.bz2', '96.ca1', '96.ca2', '96.ca3', '96.cb1', '96.cb2'], 'contains': ['384.b1', '384.g1', '384.j1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7086, -1, 3806, -1], 'generators': [1959919920, 288], 'label': '768.1084399.192.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591139
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.ba1', '96.bi1', '96.bk1', '96.bk2', '96.br1', '96.br2', '96.by1', '96.by2', '96.by3', '96.cc1', '96.cc2', '96.cd1', '96.cd2', '96.cd3'], 'contains': ['384.b1', '384.h1'], 'core': '384.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [7343, -1, 5415, -1], 'generators': [19239897889, 288], 'label': '768.1084399.192.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591140
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.bb1', '96.bh1', '96.bi1', '96.bl1', '96.bl2', '96.bs1', '96.bs2', '96.bz1', '96.bz2', '96.ca1', '96.ca2', '96.ca3', '96.cc1', '96.cc2', '96.cd1', '96.cd2', '96.cd3'], 'contains': ['384.b1', '384.i1'], 'core': '384.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6474, -1, 4267, -1], 'generators': [14856750774, 288], 'label': '768.1084399.192.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591141
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.bc1', '96.bf1', '96.bg1', '96.bm1', '96.bt1', '96.bz1', '96.bz2', '96.cc1', '96.cc2', '96.ce1'], 'contains': ['384.b1', '384.k1'], 'core': '384.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [7768, -1, 6211, -1], 'generators': [288, 15335757414], 'label': '768.1084399.192.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591142
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.e1', '96.bd1', '96.bj1', '96.bn1', '96.bu1', '96.ce1'], 'contains': ['384.b1', '384.l1'], 'core': '384.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [9799, -1, 8376, -1], 'generators': [288, 32736493855], 'label': '768.1084399.192.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '192.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591143
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.f1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.f1', '96.be1', '96.bj1', '96.bo1', '96.bv1', '96.ce1'], 'contains': ['384.b1'], 'core': '384.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [9790, -1, 8300, -1], 'generators': [288, 44602755270], 'label': '768.1084399.192.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '192.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591144
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.d1', '96.e1', '96.bf1', '96.cf1', '96.cf2', '96.cg1', '96.cg2', '96.ch1', '96.ci1'], 'contains': ['384.c1', '384.d1', '384.k1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5123, -1, 5514, -1], 'generators': [20717187174, 20717187409], 'label': '768.1084399.192.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591145
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.d1', '96.bg1', '96.ch1', '96.cj1', '96.ck1', '96.ck2', '96.cl1', '96.cl2', '96.cm1', '96.cm2', '96.cn1'], 'contains': ['384.c1', '384.e1', '384.k1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5316, -1, 5678, -1], 'generators': [27430179840, 27430179894], 'label': '768.1084399.192.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591146
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.e1', '96.bg1', '96.ci1', '96.cj1', '96.co1', '96.co2', '96.cp1', '96.cp2'], 'contains': ['384.c1', '384.f1', '384.k1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5239, -1, 5382, -1], 'generators': [27430179894, 27430180128], 'label': '768.1084399.192.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591147
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.f1', '96.bh1', '96.cf1', '96.cf2', '96.ck1', '96.ck2', '96.co1', '96.co2', '96.cq1', '96.cq2', '96.cq3', '96.cr1', '96.cr2', '96.cr3', '96.cs1', '96.cs2'], 'contains': ['384.c1', '384.g1', '384.i1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2127, -1, 1999, -1], 'generators': [1959919920, 1959919974], 'label': '768.1084399.192.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591148
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.bd1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.f1', '8.e1'], 'contains': ['32.a1', '32.k1', '48.bg1', '64.b1'], 'core': '96.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [6073, -1, 6364, -1], 'generators': [79914240, 27430179840, 20717187120, 20717187409, 6438625326], 'label': '768.1084399.16.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.e1', 'old_label': '16.d1', 'projective_image': None, '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': None}
  • id: 59591149
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['96.f1', '96.g1', '96.bi1', '96.cf1', '96.cf2', '96.cg1', '96.cg2', '96.cl1', '96.cl2', '96.cp1', '96.cp2', '96.cq1', '96.cq2', '96.cq3', '96.ct1', '96.ct2', '96.ct3'], 'contains': ['384.c1', '384.h1', '384.i1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2197, -1, 2886, -1], 'generators': [19239897654, 19239897889], 'label': '768.1084399.192.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.x1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591150
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.g1', '96.bh1', '96.cg1', '96.cg2', '96.cm1', '96.cm2', '96.co1', '96.co2', '96.cr1', '96.cr2', '96.cr3', '96.ct1', '96.ct2', '96.ct3'], 'contains': ['384.c1', '384.i1', '384.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2223, -1, 2623, -1], 'generators': [1959919974, 1959920208], 'label': '768.1084399.192.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.y1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591151
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.h1', '96.n2', '96.bk1', '96.cf1', '96.cu1', '96.cv1', '96.cv2', '96.cw1', '96.cw2', '96.cw3', '96.cx1', '96.cx2', '96.cx3', '96.da2', '96.df1'], 'contains': ['384.d1', '384.g1', '384.h1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5276, -1, 3675, -1], 'generators': [1959919920, 20717187409], 'label': '768.1084399.192.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.z1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591152
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.z2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.h2', '96.n1', '96.bk2', '96.cf2', '96.cu2', '96.cv3', '96.cv4', '96.cw4', '96.cw5', '96.cw6', '96.cw7', '96.cx1', '96.cx2', '96.cx3', '96.da1', '96.da2', '96.df1', '96.df2'], 'contains': ['384.d1', '384.g1', '384.h1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6443, -1, 4234, -1], 'generators': [14856751009, 1959919920], 'label': '768.1084399.192.z2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.z2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.z2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591153
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.i1', '96.n1', '96.bk2', '96.cg1', '96.cw1', '96.cw2', '96.cw3', '96.cw4', '96.cw5', '96.cw6', '96.cw7', '96.cy2', '96.cz1', '96.cz2', '96.db1', '96.db2', '96.df1', '96.df2'], 'contains': ['384.d1', '384.h1', '384.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6728, -1, 4300, -1], 'generators': [14856751009, 1959920208], 'label': '768.1084399.192.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ba1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591154
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.ba2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.i2', '96.n2', '96.bk1', '96.cg2', '96.cw4', '96.cw5', '96.cw6', '96.cw7', '96.cy1', '96.cz3', '96.cz4', '96.db2', '96.df1'], 'contains': ['384.d1', '384.h1', '384.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6601, -1, 4332, -1], 'generators': [20717187409, 1959920208], 'label': '768.1084399.192.ba2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.ba2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ba2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591155
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.j1', '96.o2', '96.bl1', '96.cf1', '96.cg2', '96.cu1', '96.cv3', '96.cv4', '96.cy1', '96.cz1', '96.cz2', '96.dc2', '96.dg1'], 'contains': ['384.d1', '384.i1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4349, -1, 3511, -1], 'generators': [14856750774, 20717187409], 'label': '768.1084399.192.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591156
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bb2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['96.j2', '96.o1', '96.bl2', '96.cf2', '96.cg1', '96.cu2', '96.cv1', '96.cv2', '96.cv3', '96.cv4', '96.cy2', '96.cz1', '96.cz2', '96.cz3', '96.cz4', '96.dc1', '96.dc2', '96.dg1', '96.dg2'], 'contains': ['384.d1', '384.i1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3716, -1, 2919, -1], 'generators': [20717187409, 12936672054], 'label': '768.1084399.192.bb2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bb2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bb2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591157
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.k1', '96.p1', '96.bm1', '96.ch1', '96.ci1', '96.cu1', '96.cu2', '96.cy1', '96.cy2'], 'contains': ['384.d1', '384.k1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5306, -1, 5579, -1], 'generators': [15335757414, 20717187409], 'label': '768.1084399.192.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591158
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.l1', '96.q1', '96.bn1', '96.dd1', '96.dh1'], 'contains': ['384.d1', '384.l1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9329, -1, 8711, -1], 'generators': [20717187409, 6438625326], 'label': '768.1084399.192.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '24.c1', 'old_label': '192.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591159
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.g1'], 'contains': ['32.c1', '32.d1', '32.e1', '32.f1', '48.bm1'], 'core': '96.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [7487, -1, 6516, -1], 'generators': [54, 79914240, 288, 289, 6438625326], 'label': '768.1084399.16.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.e1', 'old_label': '16.e1', 'projective_image': None, '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': None}
  • id: 59591160
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.a1', '96.s1', '96.bp1', '96.ch1', '96.da1', '96.da2', '96.db1', '96.db2', '96.dc1', '96.dc2', '96.dd1', '96.de1'], 'contains': ['384.d1', '384.e1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7820, -1, 6440, -1], 'generators': [27430179840, 20717187409], 'label': '768.1084399.192.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.be1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591161
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.s1', '96.bp1', '96.ci1', '96.df1', '96.df2', '96.dg1', '96.dg2', '96.dh1', '96.di1'], 'contains': ['384.d1', '384.f1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7469, -1, 6244, -1], 'generators': [20717187409, 27430180128], 'label': '768.1084399.192.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591162
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['96.c1', '96.s1', '96.cj1', '96.dj1', '96.dj2', '96.dk1', '96.dk2', '96.dl1', '96.dl2', '96.dm1', '96.dn1', '96.do1'], 'contains': ['384.e1', '384.f1'], 'core': '768.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7845, -1, 6407, -1], 'generators': [27430179840, 20717187408], 'label': '768.1084399.192.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591163
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.h1', '96.bq1', '96.ck1', '96.da1', '96.dj1', '96.dp1', '96.dq1', '96.dr1', '96.ds1', '96.dt1', '96.du1', '96.ec1'], 'contains': ['384.e1', '384.g1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6656, -1, 5645, -1], 'generators': [15335757360, 2918003760], 'label': '768.1084399.192.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591164
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bh2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.h2', '96.bq2', '96.ck2', '96.da2', '96.dj2', '96.dp2', '96.dq2', '96.dr2', '96.ds2', '96.du1', '96.ec1'], 'contains': ['384.e1', '384.g1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6453, -1, 4891, -1], 'generators': [27430179840, 2918003760], 'label': '768.1084399.192.bh2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bh2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bh2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591165
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.h1', '96.i2', '96.br1', '96.cl1', '96.da1', '96.db1', '96.dk1', '96.dp2', '96.dv1', '96.dw1', '96.dx1', '96.dy1', '96.ed1'], 'contains': ['384.e1', '384.h1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7196, -1, 6144, -1], 'generators': [21675271249, 27430179840], 'label': '768.1084399.192.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591166
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bi2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.h2', '96.i1', '96.br2', '96.cl2', '96.da2', '96.db2', '96.dk2', '96.dp1', '96.dp2', '96.dv2', '96.dw2', '96.dy1', '96.dy2', '96.ed1'], 'contains': ['384.e1', '384.h1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7075, -1, 5448, -1], 'generators': [21196264609, 27430179840], 'label': '768.1084399.192.bi2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bi2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bi2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591167
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.j1', '96.bs1', '96.ck1', '96.cl1', '96.cm2', '96.dc1', '96.dl1', '96.dq1', '96.dr2', '96.dv1', '96.dw2', '96.dz1', '96.ea1', '96.ee1'], 'contains': ['384.e1', '384.i1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5295, -1, 5321, -1], 'generators': [14377673574, 27430179840], 'label': '768.1084399.192.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591168
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bj2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.j2', '96.bs2', '96.ck2', '96.cl2', '96.cm1', '96.dc2', '96.dl2', '96.dq2', '96.dr1', '96.dr2', '96.dv2', '96.dw1', '96.dw2', '96.dz2', '96.ea1', '96.ea2', '96.ee1'], 'contains': ['384.e1', '384.i1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4749, -1, 4168, -1], 'generators': [27430179840, 12936672054], 'label': '768.1084399.192.bj2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bj2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bj2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591169
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.i1', '96.bq2', '96.cm1', '96.db2', '96.dj2', '96.ds1', '96.ds2', '96.dy1', '96.dz2', '96.ea1', '96.ef1'], 'contains': ['384.e1', '384.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7096, -1, 5220, -1], 'generators': [2918004048, 27430179840], 'label': '768.1084399.192.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591170
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.bm1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.a1', '8.c1', '8.e1', '8.f1'], 'contains': ['32.a1', '32.g1', '48.a1', '64.c1'], 'core': '48.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [5340, -1, 6286, -1], 'generators': [79914240, 288, 27430179840, 20717187120, 20717187409], 'label': '768.1084399.16.f1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '16.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591171
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bk2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.i2', '96.bq1', '96.cm2', '96.db1', '96.dj1', '96.ds2', '96.dy2', '96.dz1', '96.ea2', '96.eb1', '96.ef1'], 'contains': ['384.e1', '384.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7354, -1, 5910, -1], 'generators': [2918004048, 15335757360], 'label': '768.1084399.192.bk2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bk2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bk2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591172
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.k1', '96.bt1', '96.ch1', '96.cj1', '96.cn1', '96.dq1', '96.dq2', '96.dv1', '96.dv2', '96.dz1', '96.dz2'], 'contains': ['384.e1', '384.k1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6699, -1, 5877, -1], 'generators': [15335757414, 27430179840], 'label': '768.1084399.192.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591173
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.l1', '96.bu1', '96.dd1', '96.dm1', '96.dt1', '96.dx1', '96.eb1', '96.eg1'], 'contains': ['384.e1', '384.l1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9603, -1, 9188, -1], 'generators': [32736493855, 27430179840], 'label': '768.1084399.192.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '192.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591174
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.br1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.m1', '96.bw1', '96.de1', '96.dn1', '96.dt1', '96.dx1', '96.eb1', '96.eh1'], 'contains': ['384.e1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9557, -1, 9276, -1], 'generators': [45081671455, 27430179840], 'label': '768.1084399.192.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.s1', 'old_label': '192.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591175
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.n1', '96.bq2', '96.co1', '96.df1', '96.dj1', '96.dj2', '96.ei1', '96.ei3', '96.ej1', '96.ek1', '96.ek3', '96.el1', '96.el2', '96.el3'], 'contains': ['384.f1', '384.g1', '384.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6611, -1, 3543, -1], 'generators': [2918003760, 27430180128], 'label': '768.1084399.192.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bo1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591176
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bo2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.n2', '96.bq1', '96.co2', '96.df2', '96.dj2', '96.ei2', '96.ei4', '96.ej2', '96.ek2', '96.ek4', '96.el1', '96.el2', '96.el3'], 'contains': ['384.f1', '384.g1', '384.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6495, -1, 2952, -1], 'generators': [2918003760, 15335757648], 'label': '768.1084399.192.bo2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bo2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bo2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591177
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.n1', '96.br2', '96.cp1', '96.df1', '96.dk1', '96.dk2', '96.ei1', '96.ei2', '96.ei3', '96.ei4', '96.em1', '96.en1'], 'contains': ['384.f1', '384.h1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7065, -1, 4365, -1], 'generators': [21196264609, 27430180128], 'label': '768.1084399.192.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591178
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bp2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.n2', '96.br1', '96.cp2', '96.df2', '96.dk2', '96.ei1', '96.ei3', '96.em2', '96.en2'], 'contains': ['384.f1', '384.h1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6838, -1, 4661, -1], 'generators': [21675270961, 27430180128], 'label': '768.1084399.192.bp2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bp2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bp2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591179
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.o1', '96.bs2', '96.co1', '96.cp1', '96.dg1', '96.dl1', '96.dl2', '96.ej1', '96.ek1', '96.ek2', '96.ek3', '96.ek4', '96.em1', '96.en1', '96.en2'], 'contains': ['384.f1', '384.i1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4519, -1, 2853, -1], 'generators': [12936672054, 27430180128], 'label': '768.1084399.192.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591180
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.o2', '96.bs1', '96.co2', '96.cp2', '96.dg2', '96.dl2', '96.ej2', '96.ek1', '96.ek3', '96.em2', '96.en1', '96.eo1'], 'contains': ['384.f1', '384.i1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5156, -1, 4201, -1], 'generators': [14377673784, 27430180128], 'label': '768.1084399.192.bq2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '192.bq2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bq2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591181
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.a1', '8.d1'], 'contains': ['32.b1', '32.h1', '48.bw1', '64.c1'], 'core': '192.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [4976, -1, 591, -1], 'generators': [79914240, 1959919920, 288, 289, 2918003760], 'label': '768.1084399.16.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1', 'old_label': '16.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591182
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.p1', '96.bt1', '96.ci1', '96.cj1', '96.ej1', '96.ej2', '96.em1', '96.em2'], 'contains': ['384.f1', '384.k1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6464, -1, 5547, -1], 'generators': [15335757414, 27430180128], 'label': '768.1084399.192.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.br1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591183
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.q1', '96.bu1', '96.dh1', '96.dm1', '96.eo1'], 'contains': ['384.f1', '384.l1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9341, -1, 8678, -1], 'generators': [32736493855, 27430180128], 'label': '768.1084399.192.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.w1', 'old_label': '192.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591184
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.bs1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.r1', '96.bx1', '96.di1', '96.do1', '96.eo1'], 'contains': ['384.f1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9276, -1, 7680, -1], 'generators': [32257577880, 27430180128], 'label': '768.1084399.192.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '12.w1', 'old_label': '192.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bt1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591185
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.v1', '96.w1', '96.by1', '96.cq1', '96.cw3', '96.cw7', '96.cx1', '96.cx2', '96.dp1', '96.dp2', '96.ei2', '96.ei3', '96.ep1', '96.ep5'], 'contains': ['384.g1', '384.h1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4738, -1, 3428, -1], 'generators': [1959919920, 2918004049], 'label': '768.1084399.192.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591186
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bu2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.v2', '96.w2', '96.by3', '96.cq2', '96.cw1', '96.cw5', '96.cx1', '96.cx3', '96.dp1', '96.dp2', '96.ei1', '96.ei2', '96.ep3', '96.ep4'], 'contains': ['384.g1', '384.h1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4832, -1, 3363, -1], 'generators': [1959919920, 21196264609], 'label': '768.1084399.192.bu2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bu2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bu2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591187
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bu3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.v3', '96.w2', '96.by2', '96.cq3', '96.cw2', '96.cw4', '96.cw6', '96.cx2', '96.cx3', '96.dp1', '96.dp2', '96.ei1', '96.ei3', '96.ei4', '96.ep2', '96.ep6', '96.ep7'], 'contains': ['384.g1', '384.h1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [5134, -1, 3478, -1], 'generators': [14377673809, 1959919920], 'label': '768.1084399.192.bu3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bu3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bu3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591188
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.t1', '96.bz1', '96.cf1', '96.ck1', '96.co2', '96.cu2', '96.dq2', '96.ej1', '96.ep1', '96.ep2', '96.ep3', '96.eq1', '96.eq2', '96.eq3', '96.er1', '96.er2', '96.er3'], 'contains': ['384.g1', '384.i1', '384.k1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2796, -1, 2064, -1], 'generators': [19239897654, 1959919920], 'label': '768.1084399.192.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591189
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bv2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['96.t2', '96.bz2', '96.cf2', '96.ck2', '96.co1', '96.cu1', '96.cu2', '96.dq1', '96.dq2', '96.ej1', '96.ej2', '96.ep4', '96.ep5', '96.ep6', '96.ep7', '96.eq4', '96.eq5', '96.eq6', '96.eq7', '96.er1', '96.er2', '96.er3'], 'contains': ['384.g1', '384.i1', '384.k1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3501, -1, 2722, -1], 'generators': [1959919920, 15335757414], 'label': '768.1084399.192.bv2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bv2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bv2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591190
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.u1', '96.ca1', '96.cq1', '96.cr1', '96.cs1', '96.cv1', '96.cv4', '96.dr1', '96.dr2', '96.ek2', '96.ek3', '96.ep3', '96.ep7', '96.eq3', '96.eq7', '96.er1', '96.er2'], 'contains': ['384.g1', '384.i1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1451, -1, 1111, -1], 'generators': [2438997174, 1959919920], 'label': '768.1084399.192.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591191
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bw2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.u2', '96.ca2', '96.cq2', '96.cr2', '96.cs2', '96.cv1', '96.cv3', '96.dr1', '96.dr2', '96.ek1', '96.ek2', '96.ep1', '96.ep6', '96.eq1', '96.eq6', '96.er1', '96.er3'], 'contains': ['384.g1', '384.i1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1388, -1, 1078, -1], 'generators': [1959919920, 21675271014], 'label': '768.1084399.192.bw2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bw2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bw2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591192
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.b1', '8.c1', '8.g1'], 'contains': ['32.g1', '32.i1', '48.b1', '64.d1'], 'core': '48.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [5284, -1, 6176, -1], 'generators': [79914240, 288, 15335757414, 27430179840, 20717187120], 'label': '768.1084399.16.h1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '16.h1', 'projective_image': None, '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': None}
  • id: 59591193
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bw3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['96.u3', '96.ca3', '96.cq3', '96.cr3', '96.cs2', '96.cv2', '96.cv3', '96.cv4', '96.dr1', '96.dr2', '96.ek1', '96.ek3', '96.ek4', '96.ep2', '96.ep4', '96.ep5', '96.eq2', '96.eq4', '96.eq5', '96.er2', '96.er3'], 'contains': ['384.g1', '384.i1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2466, -1, 1177, -1], 'generators': [1959919920, 12936672054], 'label': '768.1084399.192.bw3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bw3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bw3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591194
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.v1', '96.cb1', '96.cr1', '96.cw1', '96.cw6', '96.ds1', '96.ds2', '96.el1', '96.el2', '96.eq1', '96.eq5'], 'contains': ['384.g1', '384.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [4956, -1, 2656, -1], 'generators': [2918003760, 1959920208], 'label': '768.1084399.192.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591195
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bx2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.v2', '96.cb2', '96.cr2', '96.cw3', '96.cw4', '96.ds1', '96.ds2', '96.el1', '96.el3', '96.eq3', '96.eq4'], 'contains': ['384.g1', '384.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5110, -1, 2689, -1], 'generators': [2918004048, 19239897888], 'label': '768.1084399.192.bx2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bx2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bx2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591196
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bx3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.v3', '96.cb2', '96.cr3', '96.cw2', '96.cw5', '96.cw7', '96.ds1', '96.ds2', '96.el2', '96.el3', '96.eq2', '96.eq6', '96.eq7'], 'contains': ['384.g1', '384.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5012, -1, 2755, -1], 'generators': [19239897888, 2918003760], 'label': '768.1084399.192.bx3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bx3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bx3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591197
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.h1', '96.w1', '96.cb1', '96.cs1', '96.cx3', '96.du1', '96.el3', '96.er3'], 'contains': ['384.g1'], 'core': '768.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [2785, -1, 1670, -1], 'generators': [1959919920, 2918003760], 'label': '768.1084399.192.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '192.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.by1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591198
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.by2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['96.w2', '96.cb2', '96.cs2', '96.cx1', '96.cx2', '96.du1', '96.el1', '96.el2', '96.er1', '96.er2'], 'contains': ['384.g1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [4500, -1, 2031, -1], 'generators': [19239897600, 2918003760], 'label': '768.1084399.192.by2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.by2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.by2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591199
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['96.t1', '96.x2', '96.cc1', '96.cf1', '96.cg2', '96.cl1', '96.cp2', '96.cu2', '96.cy2', '96.dv2', '96.em1', '96.ep4', '96.ep5', '96.ep6', '96.ep7', '96.es1', '96.es2', '96.es3', '96.es4'], 'contains': ['384.h1', '384.i1', '384.k1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3538, -1, 3083, -1], 'generators': [19239897889, 20717187174], 'label': '768.1084399.192.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591200
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.bz2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['96.t2', '96.x1', '96.cc2', '96.cf2', '96.cg1', '96.cl2', '96.cp1', '96.cu1', '96.cu2', '96.cy1', '96.cy2', '96.dv1', '96.dv2', '96.em1', '96.em2', '96.ep1', '96.ep2', '96.ep3', '96.ep4', '96.ep5', '96.ep6', '96.ep7', '96.es1', '96.es2', '96.es3', '96.es4', '96.es5', '96.es6', '96.es7'], 'contains': ['384.h1', '384.i1', '384.k1'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [3632, -1, 2985, -1], 'generators': [19239897889, 15335757414], 'label': '768.1084399.192.bz2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.bz2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.bz2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591201
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['96.u1', '96.y1', '96.cd1', '96.cq1', '96.ct1', '96.cv2', '96.cv3', '96.cz2', '96.cz3', '96.dw1', '96.dw2', '96.en1', '96.en2', '96.ep2', '96.ep4', '96.ep6', '96.es3', '96.es4', '96.es5'], 'contains': ['384.h1', '384.i1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2669, -1, 2163, -1], 'generators': [19239897889, 12936672054], 'label': '768.1084399.192.ca1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ca1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591202
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.ca2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['96.u2', '96.y3', '96.cd2', '96.cq3', '96.ct2', '96.cv2', '96.cv4', '96.cz1', '96.cz3', '96.dw1', '96.dw2', '96.en1', '96.en2', '96.ep3', '96.ep5', '96.ep6', '96.es1', '96.es4', '96.es7'], 'contains': ['384.h1', '384.i1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2610, -1, 2130, -1], 'generators': [14377673574, 19239897889], 'label': '768.1084399.192.ca2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.ca2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ca2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591203
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['4.b1', '8.d1'], 'contains': ['32.h1', '32.j1', '48.cg1', '64.d1'], 'core': '192.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [4956, -1, 528, -1], 'generators': [79914240, 1959919920, 288, 1959919974, 2918003760], 'label': '768.1084399.16.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.d1', 'old_label': '16.i1', 'projective_image': None, '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': None}
  • id: 59591204
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.ca3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['96.u3', '96.y2', '96.cd3', '96.cq2', '96.cq3', '96.ct2', '96.ct3', '96.cv1', '96.cv3', '96.cv4', '96.cz1', '96.cz2', '96.cz4', '96.dw1', '96.dw2', '96.en1', '96.en2', '96.ep1', '96.ep2', '96.ep4', '96.ep5', '96.ep7', '96.es1', '96.es2', '96.es3', '96.es5', '96.es6'], 'contains': ['384.h1', '384.i1'], 'core': '768.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [2562, -1, 2097, -1], 'generators': [19239897889, 21675271014], 'label': '768.1084399.192.ca3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.ca3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.ca3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591205
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.v1', '96.by1', '96.ct1', '96.cw2', '96.cw4', '96.cw5', '96.dy1', '96.dy2', '96.ei1', '96.ei4', '96.es1', '96.es6'], 'contains': ['384.h1', '384.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6580, -1, 3872, -1], 'generators': [2918004049, 1959920208], 'label': '768.1084399.192.cb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591206
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.cb2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.v2', '96.v3', '96.by2', '96.ct2', '96.cw1', '96.cw2', '96.cw4', '96.cw6', '96.cw7', '96.dy1', '96.dy2', '96.ei1', '96.ei2', '96.ei3', '96.es2', '96.es4', '96.es5'], 'contains': ['384.h1', '384.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6485, -1, 3708, -1], 'generators': [14377673809, 1959920208], 'label': '768.1084399.192.cb2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cb2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cb2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591207
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.cb3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['96.v3', '96.by3', '96.ct3', '96.cw3', '96.cw5', '96.cw6', '96.dy1', '96.dy2', '96.ei3', '96.ei4', '96.es3', '96.es7'], 'contains': ['384.h1', '384.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6590, -1, 3839, -1], 'generators': [21196264609, 1959920208], 'label': '768.1084399.192.cb3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cb3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cb3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591208
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['96.x1', '96.bz2', '96.cg1', '96.cm1', '96.co1', '96.cy1', '96.cy2', '96.dz1', '96.dz2', '96.ej1', '96.ej2', '96.eq1', '96.eq2', '96.eq3', '96.eq4', '96.eq5', '96.eq6', '96.eq7', '96.es1', '96.es2', '96.es3', '96.es4'], 'contains': ['384.i1', '384.j1', '384.k1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3755, -1, 2787, -1], 'generators': [15335757414, 1959920208], 'label': '768.1084399.192.cc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591209
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.cc2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.x2', '96.bz1', '96.cg2', '96.cm2', '96.co2', '96.cy2', '96.dz2', '96.ej1', '96.eq4', '96.eq5', '96.eq6', '96.eq7', '96.es5', '96.es6', '96.es7'], 'contains': ['384.i1', '384.j1', '384.k1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3866, -1, 2820, -1], 'generators': [19239897654, 1959920208], 'label': '768.1084399.192.cc2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cc2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cc2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591210
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.y1', '96.ca1', '96.cr1', '96.ct1', '96.cz1', '96.cz4', '96.ea1', '96.ea2', '96.ek1', '96.ek4', '96.eq2', '96.eq4', '96.eq6', '96.es2', '96.es7'], 'contains': ['384.i1', '384.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3210, -1, 1736, -1], 'generators': [2438997174, 1959920208], 'label': '768.1084399.192.cd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591211
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.cd2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['96.y2', '96.ca3', '96.cr2', '96.cr3', '96.ct2', '96.cz1', '96.cz2', '96.cz3', '96.ea1', '96.ea2', '96.ek1', '96.ek2', '96.ek3', '96.eq1', '96.eq2', '96.eq4', '96.eq5', '96.eq7', '96.es1', '96.es3', '96.es5'], 'contains': ['384.i1', '384.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3025, -1, 1473, -1], 'generators': [12936672054, 1959920208], 'label': '768.1084399.192.cd2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cd2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cd2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591212
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '192.cd3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['96.y3', '96.ca2', '96.cr3', '96.ct3', '96.cz2', '96.cz4', '96.ea1', '96.ea2', '96.ek3', '96.ek4', '96.eq3', '96.eq5', '96.eq6', '96.es4', '96.es6'], 'contains': ['384.i1', '384.j1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3235, -1, 1703, -1], 'generators': [1959920208, 21675271014], 'label': '768.1084399.192.cd3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '192.cd3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192.cd3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591213
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '256.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.g1', '64.h1', '128.a1', '128.b1', '128.c1', '128.d1'], 'contains': ['768.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [2264, -1, 6309, -1], 'generators': [79914240], 'label': '768.1084399.256.a1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.e1', 'old_label': '256.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591215
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '384.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['2.d1'], 'conjugacy_class_count': 2, 'contained_in': ['128.a1', '192.a1', '192.d1', '192.e1', '192.f1', '192.g1', '192.h1', '192.i1', '192.j1', '192.k1'], 'contains': ['768.a1'], 'core': '384.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5255, 9321, 5612, 8817], 'generators': [289], 'label': '768.1084399.384.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '384.a1', 'normal_contained_in': ['96.a1', '192.a1'], 'normal_contains': ['768.a1'], 'normalizer': '1.a1', 'old_label': '384.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591216
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '384.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.b1', '192.a1', '192.b1', '192.l1', '192.m1', '192.n1', '192.o1', '192.p1', '192.q1', '192.r1', '192.s1'], 'contains': ['768.a1'], 'core': '384.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7398, 8808, 6340, 8307], 'generators': [288], 'label': '768.1084399.384.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '384.b1', 'normal_contained_in': ['96.c1', '192.a1', '192.b1'], 'normal_contains': ['768.a1'], 'normalizer': '1.a1', 'old_label': '384.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591217
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '384.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['128.c1', '192.b1', '192.d1', '192.t1', '192.u1', '192.v1', '192.w1', '192.x1', '192.y1'], 'contains': ['768.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 4, 'diagramx': [3469, -1, 5420, -1], 'generators': [54], 'label': '768.1084399.384.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '192.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.a1', 'old_label': '384.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591218
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '384.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.e1', '192.f1', '192.l1', '192.t1', '192.z1', '192.z2', '192.ba1', '192.ba2', '192.bb1', '192.bb2', '192.bc1', '192.bd1', '192.be1', '192.bf1'], 'contains': ['768.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [6558, -1, 5516, -1], 'generators': [20717187409], 'label': '768.1084399.384.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591219
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '384.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.c1', '192.e1', '192.m1', '192.u1', '192.be1', '192.bg1', '192.bh1', '192.bh2', '192.bi1', '192.bi2', '192.bj1', '192.bj2', '192.bk1', '192.bk2', '192.bl1', '192.bm1', '192.bn1'], 'contains': ['768.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [7102, -1, 5894, -1], 'generators': [27430179840], 'label': '768.1084399.384.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '192.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591220
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '384.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '3.a1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['192.f1', '192.m1', '192.v1', '192.bf1', '192.bg1', '192.bo1', '192.bo2', '192.bp1', '192.bp2', '192.bq1', '192.bq2', '192.br1', '192.bs1', '192.bt1'], 'contains': ['768.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6838, -1, 5544, -1], 'generators': [27430180128], 'label': '768.1084399.384.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '96.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '3.a1', 'old_label': '384.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591221
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '384.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.g1', '192.n1', '192.w1', '192.z1', '192.z2', '192.bh1', '192.bh2', '192.bo1', '192.bo2', '192.bu1', '192.bu2', '192.bu3', '192.bv1', '192.bv2', '192.bw1', '192.bw2', '192.bw3', '192.bx1', '192.bx2', '192.bx3', '192.by1', '192.by2'], 'contains': ['768.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [4956, -1, 2952, -1], 'generators': [1959919920], 'label': '768.1084399.384.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '384.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591222
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '384.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['192.g1', '192.h1', '192.o1', '192.x1', '192.z1', '192.z2', '192.ba1', '192.ba2', '192.bi1', '192.bi2', '192.bp1', '192.bp2', '192.bu1', '192.bu2', '192.bu3', '192.bz1', '192.bz2', '192.ca1', '192.ca2', '192.ca3', '192.cb1', '192.cb2', '192.cb3'], 'contains': ['768.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5236, -1, 3724, -1], 'generators': [19239897889], 'label': '768.1084399.384.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '384.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591223
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '384.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['192.i1', '192.p1', '192.w1', '192.x1', '192.y1', '192.bb1', '192.bb2', '192.bj1', '192.bj2', '192.bq1', '192.bq2', '192.bv1', '192.bv2', '192.bw1', '192.bw2', '192.bw3', '192.bz1', '192.bz2', '192.ca1', '192.ca2', '192.ca3', '192.cc1', '192.cc2', '192.cd1', '192.cd2', '192.cd3'], 'contains': ['768.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3496, -1, 2787, -1], 'generators': [14856750774], 'label': '768.1084399.384.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '12.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '384.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591224
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '384.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.h1', '192.n1', '192.y1', '192.ba1', '192.ba2', '192.bk1', '192.bk2', '192.bo1', '192.bo2', '192.bx1', '192.bx2', '192.bx3', '192.cb1', '192.cb2', '192.cb3', '192.cc1', '192.cc2', '192.cd1', '192.cd2', '192.cd3'], 'contains': ['768.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5246, -1, 3543, -1], 'generators': [1959920208], 'label': '768.1084399.384.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '24.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '384.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591225
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.b1', 'complements': ['192.k1', '192.bd1'], 'conjugacy_class_count': 2, 'contained_in': ['2.a1', '2.d1'], 'contains': ['8.b1', '8.h1', '12.c1', '16.h1', '16.i1'], 'core': '4.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [5002, 3247, 5340, 5097], 'generators': [79914240, 288, 1959919920, 15335757414, 20717187120, 2918003760, 27909186480], 'label': '768.1084399.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.d1'], 'normal_contains': ['8.b1', '12.c1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591226
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '96.be1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.d1', '8.f1', '8.g1'], 'contains': ['32.g1', '48.d1', '64.f1'], 'core': '48.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [8626, -1, 6586, -1], 'generators': [79914240, 288, 27430179840, 20717187120, 44602755270], 'label': '768.1084399.16.k1', 'mobius_quo': None, 'mobius_sub': -2, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.g1', 'old_label': '16.k1', 'projective_image': None, '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': None}
  • id: 59591227
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '384.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['192.j1', '192.q1', '192.t1', '192.u1', '192.v1', '192.bc1', '192.bl1', '192.br1', '192.bv1', '192.bv2', '192.bz1', '192.bz2', '192.cc1', '192.cc2'], 'contains': ['768.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [5193, -1, 5487, -1], 'generators': [15335757414], 'label': '768.1084399.384.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '384.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591228
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '384.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['128.d1', '192.k1', '192.r1', '192.bd1', '192.bm1', '192.bs1'], 'contains': ['768.a1'], 'core': '768.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [9329, -1, 8409, -1], 'generators': [32736493855], 'label': '768.1084399.384.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '48.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.e1', 'old_label': '384.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591229
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '768.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['256.a1', '384.a1', '384.b1', '384.c1', '384.d1', '384.e1', '384.f1', '384.g1', '384.h1', '384.i1', '384.j1', '384.k1', '384.l1'], 'contains': [], 'core': '768.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [5246, 9064, 5516, 8562], 'generators': [], 'label': '768.1084399.768.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '768.a1', 'normal_contained_in': ['192.c1', '384.a1', '384.b1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '768.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '768.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591230
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': ['32.f1'], 'conjugacy_class_count': 2, 'contained_in': ['8.a1', '12.b1', '12.h1', '12.k1'], 'contains': ['48.e1', '48.q1', '48.bd1', '48.eh1', '48.fb1'], 'core': '24.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [5057, 2450, 5617, 3702], 'generators': [1959919920, 20717187120, 20717187409, 2918003760, 27909186480], 'label': '768.1084399.24.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '24.a1', 'normal_contained_in': ['8.a1', '12.b1'], 'normal_contains': ['48.e1', '96.a1'], 'normalizer': '1.a1', 'old_label': '24.a1', 'projective_image': None, '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': None}
  • id: 59591231
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.c1', '12.a1', '12.n1', '12.o1'], 'contains': ['48.a1', '48.b1', '48.i1', '48.j1', '48.bk1', '48.bp1', '48.ca1'], 'core': '24.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [7988, 7173, 6223, 6954], 'generators': [288, 15335757414, 27430179840, 20717187120, 20717187409], 'label': '768.1084399.24.b1', 'mobius_quo': 0, 'mobius_sub': -4, 'normal_closure': '24.b1', 'normal_contained_in': ['6.a1', '12.a1'], 'normal_contains': ['48.a1', '48.b1', '96.b1'], 'normalizer': '1.a1', 'old_label': '24.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591232
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.c1', 'complements': ['32.j1'], 'conjugacy_class_count': 1, 'contained_in': ['8.e1', '12.a1', '12.s1', '12.w1'], 'contains': ['48.a1', '48.c1', '48.ba1', '48.bg1', '48.bq1', '48.cn1'], 'core': '24.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [9356, 6589, 8887, 8654], 'generators': [288, 27430179840, 20717187120, 20717187409, 6438625326], 'label': '768.1084399.24.c1', 'mobius_quo': 0, 'mobius_sub': -4, 'normal_closure': '24.c1', 'normal_contained_in': ['6.b1', '12.a1'], 'normal_contains': ['48.a1', '48.c1'], 'normalizer': '1.a1', 'old_label': '24.c1', 'projective_image': None, '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': None}
  • id: 59591233
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '24.d1', 'complements': ['32.j1'], 'conjugacy_class_count': 1, 'contained_in': ['8.f1', '12.a1', '12.t1', '12.x1'], 'contains': ['48.a1', '48.d1', '48.br1', '48.co1'], 'core': '24.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [9674, 8027, 8006, 7804], 'generators': [288, 27430179840, 20717187120, 44602755270, 20717187409], 'label': '768.1084399.24.d1', 'mobius_quo': 0, 'mobius_sub': -4, 'normal_closure': '24.d1', 'normal_contained_in': ['6.c1', '12.a1'], 'normal_contains': ['48.a1', '48.d1'], 'normalizer': '1.a1', 'old_label': '24.d1', 'projective_image': None, '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': None}
  • id: 59591234
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '48.a1', 'complements': ['32.b1', '32.j1'], 'conjugacy_class_count': 4, 'contained_in': ['8.g1', '12.a1', '12.bc1', '12.be1'], 'contains': ['48.b1', '48.c1', '48.d1', '48.cd1', '48.dd1'], 'core': '24.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [9938, 9150, 8289, 9504], 'generators': [27430179840, 288, 15335757414, 32736493855, 20717187120], 'label': '768.1084399.24.e1', 'mobius_quo': 0, 'mobius_sub': -4, 'normal_closure': '24.e1', 'normal_contained_in': ['6.d1', '12.a1'], 'normal_contains': ['48.b1', '48.c1', '48.d1'], 'normalizer': '1.a1', 'old_label': '24.e1', 'projective_image': None, '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': None}
  • id: 59591235
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.b1', '12.b1', '12.c1', '12.d1', '12.e1'], 'contains': ['48.e1', '48.cw1', '48.df1', '48.er1', '48.fd1'], 'core': '24.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [5566, 3688, 5584, 4644], 'generators': [1959919920, 288, 20717187120, 2918003760, 27909186480], 'label': '768.1084399.24.f1', 'mobius_quo': 0, 'mobius_sub': 8, 'normal_closure': '24.f1', 'normal_contained_in': ['8.b1', '12.b1', '12.c1', '12.d1', '12.e1'], 'normal_contains': ['48.e1', '96.c1'], 'normalizer': '1.a1', 'old_label': '24.f1', 'projective_image': None, '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': None}
  • id: 59591236
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.f1', '12.g1', '12.m1'], 'contains': ['48.f1', '48.g1', '48.k1', '48.k2', '48.k3', '48.n1', '48.p1', '48.s1', '48.bi1', '48.bi2', '48.bi3', '48.dm1', '48.dm2', '48.dm3', '48.dt1', '48.du1', '48.dw1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2190, -1, 1801, -1], 'generators': [15335757360, 27909186768, 15335757414, 15335757649, 2918003760], 'label': '768.1084399.24.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.g1', 'projective_image': None, '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': None}
  • id: 59591237
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.g2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['12.f1', '12.g1', '12.m1'], 'contains': ['48.f2', '48.g1', '48.g2', '48.k1', '48.k2', '48.k3', '48.n2', '48.p2', '48.s1', '48.s2', '48.bi4', '48.bi5', '48.bi6', '48.bi7', '48.dm4', '48.dm5', '48.dm6', '48.dm7', '48.dt2', '48.du2', '48.dw1', '48.dw2'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2654, -1, 2375, -1], 'generators': [27909186768, 27430179840, 27430179894, 289, 2918003760], 'label': '768.1084399.24.g2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.g2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.g2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591238
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.f1', '12.h1', '12.m1'], 'contains': ['48.f1', '48.f2', '48.l1', '48.l2', '48.n1', '48.n2', '48.q1', '48.bj1', '48.bj2', '48.bj3', '48.dn1', '48.dn2', '48.dn3', '48.dt1', '48.dt2', '48.dv1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1470, -1, 1473, -1], 'generators': [19239897654, 1959919920, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.24.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.h1', 'projective_image': None, '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': None}
  • id: 59591239
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '192.a1', 'complements': ['192.d1', '192.bc1', '192.t1', '192.j1', '192.bz1', '192.x1', '192.bz2', '192.bb2', '192.bb1', '192.i1', '192.ca3', '192.ca1', '192.ca2'], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '2.d1'], 'contains': ['8.b1', '8.i1', '12.d1', '16.j1'], 'core': '4.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [6364, 5260, 6427, 2412], 'generators': [79914240, 288, 1959919920, 32736493855, 20717187120, 2918003760, 27909186480], 'label': '768.1084399.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.b1', '2.d1'], 'normal_contains': ['8.b1', '12.d1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591240
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.f1', '12.m1'], 'contains': ['48.h1', '48.h2', '48.k1', '48.k2', '48.l2', '48.v1', '48.v2', '48.w1', '48.bi1', '48.bi4', '48.bj1', '48.dm1', '48.dm4', '48.dn1', '48.ea1', '48.ea2', '48.eb1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [1983, -1, 1505, -1], 'generators': [19239897654, 21196264320, 1959919920, 20717187409, 20717187408], 'label': '768.1084399.24.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.i1', 'projective_image': None, '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': None}
  • id: 59591241
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.i2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['12.f1', '12.m1'], 'contains': ['48.h1', '48.h2', '48.k1', '48.k3', '48.l2', '48.v1', '48.v3', '48.v4', '48.w2', '48.bi2', '48.bi5', '48.bi6', '48.bj2', '48.dm2', '48.dm5', '48.dm6', '48.dn2', '48.ea1', '48.ea3', '48.ea4', '48.eb2'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [2296, -1, 1834, -1], 'generators': [19239897600, 19239897654, 20717187409, 2918003760, 20717187408], 'label': '768.1084399.24.i2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.i2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591242
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.i3', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.f1', '12.m1'], 'contains': ['48.h1', '48.h2', '48.k2', '48.k3', '48.l1', '48.v2', '48.v3', '48.w3', '48.bi3', '48.bi7', '48.bj3', '48.dm3', '48.dm7', '48.dn3', '48.ea2', '48.ea3', '48.eb3'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2059, -1, 1538, -1], 'generators': [19239897654, 1959919920, 20717187409, 2918003760, 20717187408], 'label': '768.1084399.24.i3', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.i3', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.i3', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591243
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['12.f1', '12.n1'], 'contains': ['48.f1', '48.g2', '48.h1', '48.i1', '48.m1', '48.r1', '48.u1', '48.y1', '48.z1', '48.do1', '48.dp1', '48.dq1', '48.dr1', '48.ds1'], 'core': '384.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6480, -1, 5683, -1], 'generators': [15335757360, 15335757414, 20717187409, 2918003760, 20717187408], 'label': '768.1084399.24.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.j1', 'projective_image': None, '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': None}
  • id: 59591244
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.j2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.f1', '12.n1'], 'contains': ['48.f2', '48.g1', '48.h1', '48.h2', '48.i1', '48.m2', '48.r2', '48.u1', '48.u2', '48.y2', '48.z2', '48.do2', '48.dp2', '48.dq1', '48.dq2', '48.dr2', '48.ds2'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4883, -1, 4494, -1], 'generators': [15335757414, 27430179840, 20717187409, 2918003760, 20717187408], 'label': '768.1084399.24.j2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.j2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.j2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591245
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.g1', '12.h1', '12.n1'], 'contains': ['48.f1', '48.f2', '48.j1', '48.m1', '48.m2', '48.bd1', '48.bf1', '48.do1', '48.do2', '48.dx1', '48.dy1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6490, -1, 5716, -1], 'generators': [15335757414, 27430179840, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.24.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.k1', 'projective_image': None, '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': None}
  • id: 59591246
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['12.g1', '12.n1'], 'contains': ['48.g1', '48.g2', '48.j1', '48.r1', '48.r2', '48.be1', '48.bf1', '48.dp1', '48.dp2', '48.dy1', '48.dz1'], 'core': '96.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6501, -1, 5805, -1], 'generators': [2918004048, 15335757414, 27430179840, 20717187120, 20717187409], 'label': '768.1084399.24.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.l1', 'projective_image': None, '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': None}
  • id: 59591247
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.f1', '12.g1', '12.q1'], 'contains': ['48.m1', '48.n1', '48.p1', '48.r2', '48.s1', '48.bi4', '48.bi5', '48.bi6', '48.bi7', '48.ec1', '48.ec2', '48.ec3', '48.ex1', '48.ey1', '48.fa1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [3354, -1, 2507, -1], 'generators': [15335757360, 27909186768, 20717187174, 15335757649, 2918003760], 'label': '768.1084399.24.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.m1', 'projective_image': None, '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': None}
  • id: 59591248
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.m2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['12.f1', '12.g1', '12.q1'], 'contains': ['48.m2', '48.n2', '48.p2', '48.r1', '48.r2', '48.s1', '48.s2', '48.bi1', '48.bi2', '48.bi3', '48.bi4', '48.bi5', '48.bi6', '48.bi7', '48.ec4', '48.ec5', '48.ec6', '48.ec7', '48.ex2', '48.ey2', '48.fa1', '48.fa2'], 'core': '384.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [3155, -1, 2474, -1], 'generators': [27909186768, 15335757414, 27430179840, 289, 2918003760], 'label': '768.1084399.24.m2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.m2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24.m2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59591249
    {'ambient': '768.1084399', 'aut_centralizer_order': None, 'aut_label': '24.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '6.a1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['12.f1', '12.h1', '12.q1'], 'contains': ['48.m1', '48.m2', '48.n1', '48.n2', '48.q1', '48.bj1', '48.bj2', '48.bj3', '48.ed1', '48.ed2', '48.ed3', '48.ex1', '48.ex2', '48.ez1'], 'core': '384.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2069, -1, 2097, -1], 'generators': [1959919920, 15335757414, 20717187120, 20717187409, 2918003760], 'label': '768.1084399.24.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '6.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '6.a1', 'old_label': '24.n1', 'projective_image': None, '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': None}