Abstract group data - 787500000.b

Formats: - HTML - YAML - JSON - 2025-10-03T01:12:47.684784

• 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': '4.2', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[6682911996507263661228681012902757895583, 2701870020620051659550394602090568509464], [3337644886358540974898194886379229007335, 4562816088750697928604832712695764380760], [6682912023947214676283570584998151861766, 5743747440560490574968862980174517430913], [6110339322779497554639318870061987987135, 1180931425107379019179228562479862440920], [6682912005632136908154540491970239615903, 2701870038902062009660136221679626800600], [6682911996507263661228681012902757895583, 2432687183594019094530038137221191299800], [6379522150647587620396714562277660372479, 2701870011462109160287433829342940105656], [6682912005632136908154642929669314918943, 2701870020620051659550394602090567299800], [6379522150647586973023129497875547655589, 1520938824461635096159920163422563069400], [6682911988580166701323993303764395769509, 2701870020620051659550394602090568751353], [6682911996507263661228937819225843207646, 2701870020620051659550394602090568751353], [6682911996507263661228553676803500979103, 2701870020620051659550394602090568751353], [7291270483570865495697170652168709639615, 1520938824461636387585921156408803459896], [6987083030288832451105384944501405254309, 2129297345661441847920830200419515747160]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 6300000000, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': None, 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 105, 1], [2, 2625, 1], [2, 13125, 1], [2, 65625, 1], [2, 78125, 1], [2, 328125, 2], [3, 1750, 1], [3, 175000, 1], [4, 26250, 1], [4, 393750, 1], [4, 1968750, 1], [4, 3281250, 1], [5, 2, 2], [5, 14, 10], [5, 42, 12], [5, 70, 10], [5, 84, 14], [5, 140, 2], [5, 210, 32], [5, 280, 14], [5, 420, 24], [5, 840, 31], [5, 1260, 12], [5, 1680, 2], [5, 2520, 4], [5, 315000, 1], [5, 630000, 4], [5, 1260000, 4], [6, 52500, 1], [6, 131250, 1], [6, 656250, 1], [6, 2625000, 1], [6, 5468750, 1], [6, 6562500, 1], [6, 13125000, 1], [6, 21875000, 1], [7, 11250000, 1], [10, 210, 12], [10, 1050, 50], [10, 2100, 52], [10, 3150, 2], [10, 4200, 74], [10, 5250, 14], [10, 6300, 74], [10, 10500, 24], [10, 12600, 51], [10, 15750, 52], [10, 25200, 2], [10, 26250, 12], [10, 31500, 128], [10, 63000, 48], [10, 78750, 52], [10, 157500, 24], [10, 393750, 2], [10, 525000, 2], [10, 656250, 2], [10, 787500, 2], [10, 1312500, 4], [10, 1575000, 4], [10, 2625000, 1], [10, 3150000, 2], [10, 7875000, 1], [10, 15750000, 2], [10, 39375000, 1], [12, 1312500, 1], [12, 6562500, 1], [14, 56250000, 1], [15, 3500, 12], [15, 10500, 2], [15, 14000, 50], [15, 21000, 26], [15, 42000, 75], [15, 84000, 12], [15, 350000, 14], [15, 700000, 24], [20, 52500, 12], [20, 157500, 52], [20, 315000, 24], [20, 787500, 62], [20, 3937500, 4], [20, 6562500, 2], [20, 7875000, 4], [25, 630000, 10], [25, 1260000, 20], [30, 105000, 64], [30, 210000, 124], [30, 262500, 14], [30, 525000, 24], [30, 2625000, 4], [30, 5250000, 13], [30, 13125000, 2], [30, 26250000, 2], [35, 22500000, 2], [50, 3150000, 10], [60, 2625000, 12], [60, 13125000, 2]], 'center_label': '1.1', 'center_order': None, 'central_product': None, 'central_quotient': '787500000.b', 'commutator_count': None, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '5.1', '5.1', '5.1', '5.1', '5.1', '5.1', '5.1', '2520.a'], 'composition_length': 10, 'conjugacy_classes_known': False, 'counter': 2, 'cyclic': False, 'derived_length': 2, 'dihedral': False, 'direct_factorization': None, 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 105, 1, 1], [2, 2625, 1, 1], [2, 13125, 1, 1], [2, 65625, 1, 1], [2, 78125, 1, 1], [2, 328125, 1, 2], [3, 1750, 1, 1], [3, 175000, 1, 1], [4, 26250, 1, 1], [4, 393750, 1, 1], [4, 1968750, 1, 1], [4, 3281250, 1, 1], [5, 2, 2, 1], [5, 14, 2, 5], [5, 42, 2, 6], [5, 70, 2, 5], [5, 84, 2, 7], [5, 140, 2, 1], [5, 210, 2, 16], [5, 280, 2, 7], [5, 420, 2, 12], [5, 840, 1, 1], [5, 840, 2, 15], [5, 1260, 2, 6], [5, 1680, 2, 1], [5, 2520, 2, 2], [5, 315000, 1, 1], [5, 630000, 2, 2], [5, 1260000, 2, 2], [6, 52500, 1, 1], [6, 131250, 1, 1], [6, 656250, 1, 1], [6, 2625000, 1, 1], [6, 5468750, 1, 1], [6, 6562500, 1, 1], [6, 13125000, 1, 1], [6, 21875000, 1, 1], [7, 11250000, 1, 1], [10, 210, 2, 6], [10, 1050, 2, 25], [10, 2100, 2, 26], [10, 3150, 2, 1], [10, 4200, 2, 37], [10, 5250, 2, 7], [10, 6300, 2, 37], [10, 10500, 2, 12], [10, 12600, 1, 1], [10, 12600, 2, 25], [10, 15750, 2, 26], [10, 25200, 2, 1], [10, 26250, 2, 6], [10, 31500, 2, 64], [10, 63000, 2, 24], [10, 78750, 2, 26], [10, 157500, 2, 12], [10, 393750, 2, 1], [10, 525000, 2, 1], [10, 656250, 2, 1], [10, 787500, 2, 1], [10, 1312500, 2, 2], [10, 1575000, 1, 2], [10, 1575000, 2, 1], [10, 2625000, 1, 1], [10, 3150000, 2, 1], [10, 7875000, 1, 1], [10, 15750000, 2, 1], [10, 39375000, 1, 1], [12, 1312500, 1, 1], [12, 6562500, 1, 1], [14, 56250000, 1, 1], [15, 3500, 2, 6], [15, 10500, 2, 1], [15, 14000, 2, 25], [15, 21000, 2, 13], [15, 42000, 1, 1], [15, 42000, 2, 37], [15, 84000, 2, 6], [15, 350000, 2, 7], [15, 700000, 2, 12], [20, 52500, 2, 6], [20, 157500, 2, 26], [20, 315000, 2, 12], [20, 787500, 2, 31], [20, 3937500, 2, 2], [20, 6562500, 2, 1], [20, 7875000, 2, 2], [25, 630000, 2, 5], [25, 1260000, 2, 10], [30, 105000, 2, 32], [30, 210000, 2, 62], [30, 262500, 2, 7], [30, 525000, 2, 12], [30, 2625000, 2, 2], [30, 5250000, 1, 1], [30, 5250000, 2, 6], [30, 13125000, 2, 1], [30, 26250000, 2, 1], [35, 22500000, 2, 1], [50, 3150000, 2, 5], [60, 2625000, 2, 6], [60, 13125000, 2, 1]], 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 2100, 'exponents_of_order': [8, 5, 2, 1], 'factors_of_aut_order': [2, 3, 5, 7], 'factors_of_order': [2, 3, 5, 7], 'faithful_reps': None, 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '787500000.b', 'hash': 1180469327369231408, 'hyperelementary': 1, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': None, 'inner_gens': None, 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': None, 'inner_split': None, 'inner_tex': 'C_5^6.(D_5\\times S_7)', 'inner_used': None, 'irrC_degree': None, 'irrQ_degree': None, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': None, 'label': '787500000.b', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'C5^6.(D5*S7)', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 3, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': None, 'number_characteristic_subgroups': 12, 'number_conjugacy_classes': 1576, 'number_divisions': 806, 'number_normal_subgroups': 12, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 787500000, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 815855], [3, 176750], [4, 5670000], [5, 7953124], [6, 50496250], [7, 11250000], [10, 121981020], [12, 7875000], [14, 56250000], [15, 27167000], [20, 125580000], [25, 31500000], [30, 206535000], [35, 45000000], [50, 31500000], [60, 57750000]], 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': False, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': None, 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 8, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': None, 'pc_rank': None, 'perfect': False, 'permutation_degree': 35, 'pgroup': 0, 'primary_abelian_invariants': [2, 2], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': None, 'representations': {'Perm': {'d': 35, 'gens': [6682911996507263661228681012902757895583, 2701870020620051659550394602090568509464]}}, 'schur_multiplier': None, 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 1008, 'supersolvable': False, 'sylow_subgroups_known': False, 'tex_name': 'C_5^6.(D_5\\times S_7)', 'transitive_degree': 35, 'wreath_data': None, 'wreath_product': None}
• ['group_order', 'group_counter'] [787500000, 2] does not appear in gps_conj_classes
• group 787500000.b does not appear in gps_qchar
• group 787500000.b does not appear in gps_char
• 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: 20051736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 787500000, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 210, 'label': '787500000.b.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.A', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': False, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '787500000.b', 'subgroup_hash': None, 'subgroup_order': 787500000, 'subgroup_tex': 'C_5^6.(D_5\\times S_7)', 'supersolvable': False, 'sylow': 0}
  • id: 20051847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 393750000, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.2._.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '393750000.a', 'subgroup_hash': None, 'subgroup_order': 393750000, 'subgroup_tex': 'C_5^6.(D_5\\times A_7)', 'supersolvable': False, 'sylow': 0}
  • id: 20051958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 393750000, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.2._.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '393750000.c', 'subgroup_hash': None, 'subgroup_order': 393750000, 'subgroup_tex': 'C_5^7.S_7', 'supersolvable': False, 'sylow': 0}
  • id: 20052069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 393750000, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.2._.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, '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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '393750000.b', 'subgroup_hash': None, 'subgroup_order': 393750000, 'subgroup_tex': 'C_5^7.S_7', 'supersolvable': False, 'sylow': 0}
  • id: 20052180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 196875000, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.4.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, '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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '196875000.a', 'subgroup_hash': None, 'subgroup_order': 196875000, 'subgroup_tex': 'C_5^7.A_7', 'supersolvable': False, 'sylow': 0}
  • id: 20052291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78750000, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.5.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 5, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '157500000.b', 'subgroup_hash': None, 'subgroup_order': 157500000, 'subgroup_tex': 'C_5^6.(C_2\\times S_7)', 'supersolvable': False, 'sylow': 0}
  • id: 20052402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 30, 'label': '787500000.b.7.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 7, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 112500000, 'subgroup_tex': 'C_5^7.C_2.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 78750000, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.10._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '10.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_5', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '78750000.b', 'subgroup_hash': None, 'subgroup_order': 78750000, 'subgroup_tex': 'C_5^6.S_7', 'supersolvable': False, 'sylow': 0}
  • id: 20052452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 39375000, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.10._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '78750000.a', 'subgroup_hash': None, 'subgroup_order': 78750000, 'subgroup_tex': 'C_5^6.(C_2\\times A_7)', 'supersolvable': False, 'sylow': 0}
  • id: 20051737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 39375000, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.10._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 10, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '78750000.c', 'subgroup_hash': None, 'subgroup_order': 78750000, 'subgroup_tex': 'C_5^6.S_7', 'supersolvable': False, 'sylow': 0}
  • id: 20051748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.14._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 56250000, 'subgroup_tex': 'C_5^7.C_2.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.14._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 56250000, 'subgroup_tex': 'C_5^7.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.14._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 56250000, 'subgroup_tex': 'C_5^7.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 39375000, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.20.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '20.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': '20.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 20, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_{10}', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '39375000.a', 'subgroup_hash': None, 'subgroup_order': 39375000, 'subgroup_tex': 'C_5^6.A_7', 'supersolvable': False, 'sylow': 0}
  • id: 20051792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.21.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '21.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 21, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 37500000, 'subgroup_tex': 'C_5^6.D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.28.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 28, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 28125000, 'subgroup_tex': 'C_5^7.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.30.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '26250000.b', 'subgroup_hash': None, 'subgroup_order': 26250000, 'subgroup_tex': 'C_5^7:(C_2\\times \\GL(3,2))', 'supersolvable': False, 'sylow': 0}
  • id: 20051825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.35._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '35.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 35, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22500000, 'subgroup_tex': 'C_5^5.C_{10}^2.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.35._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '35.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 35, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22500000.b', 'subgroup_hash': None, 'subgroup_order': 22500000, 'subgroup_tex': 'C_5^5.(D_5\\times S_6)', 'supersolvable': False, 'sylow': 0}
  • id: 20051848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.35._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '35.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 35, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22500000.b', 'subgroup_hash': None, 'subgroup_order': 22500000, 'subgroup_tex': 'C_5^5.(D_5\\times S_6)', 'supersolvable': False, 'sylow': 0}
  • id: 20051859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.35._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '35.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 35, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22500000.b', 'subgroup_hash': None, 'subgroup_order': 22500000, 'subgroup_tex': 'C_5^5.(D_5\\times S_6)', 'supersolvable': False, 'sylow': 0}
  • id: 20051870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.35._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '35.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 35, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22500000.b', 'subgroup_hash': None, 'subgroup_order': 22500000, 'subgroup_tex': 'C_5^5.(D_5\\times S_6)', 'supersolvable': False, 'sylow': 0}
  • id: 20051881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.35._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '35.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 35, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22500000.b', 'subgroup_hash': None, 'subgroup_order': 22500000, 'subgroup_tex': 'C_5^5.(D_5\\times S_6)', 'supersolvable': False, 'sylow': 0}
  • id: 20051892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.35._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '35.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 35, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '22500000.b', 'subgroup_hash': None, 'subgroup_order': 22500000, 'subgroup_tex': 'C_5^5.(D_5\\times S_6)', 'supersolvable': False, 'sylow': 0}
  • id: 20051903
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.42._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 18750000, 'subgroup_tex': 'C_5^6.D_{10}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.42._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 18750000, 'subgroup_tex': 'C_5^7.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.42._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 18750000, 'subgroup_tex': 'C_5^7.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.42._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 18750000, 'subgroup_tex': 'C_5^7.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.42._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 18750000, 'subgroup_tex': 'C_5^7.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.42._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 18750000, 'subgroup_tex': 'C_5^7.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.42._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 18750000, 'subgroup_tex': 'C_5^7.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.42._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 42, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 18750000, 'subgroup_tex': 'C_5^7.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.60.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '60.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 60, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13125000.c', 'subgroup_hash': None, 'subgroup_order': 13125000, 'subgroup_tex': 'C_5^7:\\PSL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 20052003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.c', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^6.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.c', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^6.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.c', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^6.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.c', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^6.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.c', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^6.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.c', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^6.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.b', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5\\wr A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.b', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5\\wr A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.b', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5\\wr A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.b', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5\\wr A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.b', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5\\wr A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.b', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5\\wr A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^5.C_{10}^2.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.a', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^6.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052158
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^7.(S_3\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.a', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^6.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^5.C_{10}^2.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.a', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^6.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^5.(C_3\\times A_4).C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.a', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^6.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5^2.(C_6\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 20052236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.a', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^6.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^5.C_{10}^2.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11250000.a', 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^6.S_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^5.C_{10}^2.C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.70._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 70, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11250000, 'subgroup_tex': 'C_5^4.C_{15}^2.(D_4\\times D_5)', 'supersolvable': False, 'sylow': 0}
  • id: 20052292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.84._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9375000, 'subgroup_tex': 'C_5^7.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.84._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9375000, 'subgroup_tex': 'C_5^7.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.84._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9375000, 'subgroup_tex': 'C_5^7.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.84._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9375000, 'subgroup_tex': 'C_5^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.84._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9375000, 'subgroup_tex': 'C_5^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.84._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9375000, 'subgroup_tex': 'C_5^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.84._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9375000, 'subgroup_tex': 'C_5^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.84._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9375000, 'subgroup_tex': 'C_5^7.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.84._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9375000, 'subgroup_tex': 'C_5^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.84._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9375000, 'subgroup_tex': 'C_5^7.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.105._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 105, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5^2.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.105._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 105, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7500000, 'subgroup_tex': 'C_5^7.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20052425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.105._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 105, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7500000, 'subgroup_tex': 'C_5^5.D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.105._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 105, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7500000, 'subgroup_tex': 'C_5^5.D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.105._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 105, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7500000, 'subgroup_tex': 'C_5^5.D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.105._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 105, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7500000, 'subgroup_tex': 'C_5^5.D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.105._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 105, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7500000, 'subgroup_tex': 'C_5^5.D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.105._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 105, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7500000, 'subgroup_tex': 'C_5^5.D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.105._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 105, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7500000, 'subgroup_tex': 'C_5^5.D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.105._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 105, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7500000, 'subgroup_tex': 'C_5^5.C_{10}^2.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052442
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.120.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6562500.b', 'subgroup_hash': None, 'subgroup_order': 6562500, 'subgroup_tex': 'C_5^7:(C_2\\times F_7)', 'supersolvable': False, 'sylow': 0}
  • id: 20052443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.126.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '126.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 126, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6250000, 'subgroup_tex': 'C_5^4.C_5^3.D_{10}.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 20052444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5625000.a', 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5\\wr A_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5625000.a', 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5\\wr A_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5625000.a', 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5\\wr A_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5625000.a', 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5\\wr A_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5625000.a', 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5\\wr A_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5625000.a', 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5\\wr A_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_{15}.C_{30}', 'supersolvable': False, 'sylow': 0}
  • id: 20052451
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5^5.C_3.C_{10}^2.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052453
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5^7.(S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5^3:C_2^2.C_5^3.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5^5.(C_{15}\\times A_4).C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 20052456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5^5.C_{10}^2.C_3.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 20052457
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5^7.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052458
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5^7.C_3.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5^4.C_{15}^2.C_5.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 20052460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5^4.C_3^2.C_{10}.C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052461
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5^7.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5^4.C_{15}^2.D_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 20051738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5^4.C_{15}^2.(C_5\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20051739
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.140._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '140.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5625000, 'subgroup_tex': 'C_5^7.C_3:S_3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.150.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '150.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5250000.a', 'subgroup_hash': None, 'subgroup_order': 5250000, 'subgroup_tex': 'C_5^6:(C_2\\times \\GL(3,2))', 'supersolvable': False, 'sylow': 0}
  • id: 20051741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.168._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '168.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4687500, 'subgroup_tex': 'C_5^7.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.168._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '168.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4687500, 'subgroup_tex': 'C_5^7.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.175._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '175.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 175, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4500000, 'subgroup_tex': 'C_5^5.(C_5\\times A_4).D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.175._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '175.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 175, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4500000, 'subgroup_tex': 'C_5^5.(C_5\\times A_4).D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.175._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '175.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 175, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4500000, 'subgroup_tex': 'C_5^5.(C_{15}\\times A_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20051746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.175._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '175.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 175, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4500000, 'subgroup_tex': 'C_5^5.(C_{15}\\times A_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20051747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.175._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '175.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 175, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4500000, 'subgroup_tex': 'C_5^5.(C_{15}\\times A_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20051749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.175._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '175.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 175, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4500000, 'subgroup_tex': 'C_5^5.(C_{15}\\times A_4).C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20051750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.175._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '175.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 175, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4500000.m', 'subgroup_hash': None, 'subgroup_order': 4500000, 'subgroup_tex': 'C_5^5.(C_2\\times S_6)', 'supersolvable': False, 'sylow': 0}
  • id: 20051751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051758
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^7.D_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_{30}.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20051762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^7.D_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_{30}', 'supersolvable': False, 'sylow': 0}
  • id: 20051765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^7.D_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.D_{15}:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 20051768
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^7.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^7.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20051771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_{20}:D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^7.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20051773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^3.(C_5^2\\times A_4).C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^3:S_3\\times C_5^4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 20051775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^5.D_{10}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^5.D_{10}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2^2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^5.D_{10}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^5.D_{10}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^5.D_{10}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^5.D_{10}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051798
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^7.D_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.(C_2\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 20051815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.(C_2\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 20051822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^7.D_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^7.D_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.D_{15}:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 20051826
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^7.D_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_{15}.C_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^7.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20051829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^5.C_{10}^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^5.C_{10}^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^5.C_{10}^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^5.A_4.C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^5.C_{10}^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051834
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^7.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^5.C_{10}^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^5.C_{10}^2.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.C_2.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3750000.f', 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.(C_2\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 20051853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3750000.f', 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.(C_2\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 20051854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3750000.f', 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.(C_2\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 20051855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3750000.f', 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.(C_2\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 20051856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3750000.f', 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.(C_2\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 20051857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.210._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '210.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 210, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3750000.f', 'subgroup_hash': None, 'subgroup_order': 3750000, 'subgroup_tex': 'C_5^6.(C_2\\times S_5)', 'supersolvable': False, 'sylow': 0}
  • id: 20051858
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.240._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3281250.a', 'subgroup_hash': None, 'subgroup_order': 3281250, 'subgroup_tex': 'C_5^7:C_7:C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051860
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.240._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3281250.c', 'subgroup_hash': None, 'subgroup_order': 3281250, 'subgroup_tex': 'C_5^7:F_7', 'supersolvable': False, 'sylow': 0}
  • id: 20051861
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.240._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3281250.b', 'subgroup_hash': None, 'subgroup_order': 3281250, 'subgroup_tex': 'C_5\\wr F_7', 'supersolvable': False, 'sylow': 0}
  • id: 20051862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.252._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^6.C_5.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20051863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.252._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^5.C_5^2.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20051864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.252._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^5.C_5^2.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20051865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.252._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20051866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.252._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^6.(C_{10}\\times F_5)', 'supersolvable': True, 'sylow': 0}
  • id: 20051867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.252._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^7.D_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20051868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.252._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '252.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 252, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3125000, 'subgroup_tex': 'C_5^5.C_5.C_{10}^2.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20051869
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.280._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '280.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2812500, 'subgroup_tex': 'C_5^5.C_{10}^2.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051871
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.280._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '280.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2812500, 'subgroup_tex': 'C_5^5.C_{15}^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 20051872
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.280._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '280.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2812500, 'subgroup_tex': 'C_5^7.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051873
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.280._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '280.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2812500, 'subgroup_tex': 'C_5^4.C_{15}^2.C_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051874
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.280._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '280.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2812500, 'subgroup_tex': 'C_5^7.C_3.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051875
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.280._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '280.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2812500, 'subgroup_tex': 'C_5^5.C_{15}^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051876
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.280._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '280.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2812500, 'subgroup_tex': 'C_5^6.(C_5\\times S_3^2)', 'supersolvable': False, 'sylow': 0}
  • id: 20051877
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.280._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '280.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2812500, 'subgroup_tex': 'C_5^5.C_{15}^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 20051878
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.280._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '280.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2812500, 'subgroup_tex': 'C_5^7.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051879
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.280._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '280.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2812500, 'subgroup_tex': 'C_5^7.(C_6\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 20051880
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.280._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '280.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2812500, 'subgroup_tex': 'C_5^7.(C_6\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 20051882
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.280._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '280.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2812500, 'subgroup_tex': 'C_5^7.S_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.300.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '300.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2625000.b', 'subgroup_hash': None, 'subgroup_order': 2625000, 'subgroup_tex': 'C_5^6:\\GL(3,2)', 'supersolvable': False, 'sylow': 0}
  • id: 20051884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.315.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '315.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 315, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2500000, 'subgroup_tex': 'C_5^7.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2250000.l', 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.(C_5\\times S_3\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^3:S_4\\times C_5^3:S_3', 'supersolvable': False, 'sylow': 0}
  • id: 20051888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.(C_5\\times S_3\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.(C_5\\times S_3\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.(C_5\\times S_3\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^3.A_4.C_{10}\\times C_5^2:S_3', 'supersolvable': False, 'sylow': 0}
  • id: 20051893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.C_2^2.C_{15}.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.(C_5\\times A_4).D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.C_2^2.C_{15}.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.C_2^2.C_{15}.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.(C_5\\times A_4).D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051898
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^6.(S_3\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051899
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^6.(S_3\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051900
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^6.(S_3\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051901
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^6.(S_3\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051902
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^6.(S_3\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051904
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^6.(S_3\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.C_2^2.C_{15}.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.C_2^2.C_{15}.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.C_2^2.C_{15}.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.C_2^2.C_{15}.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.C_2^2.C_{15}.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.C_2^2.C_{15}.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.C_2^2.C_{15}.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.(C_5\\times A_4).D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.(C_5\\times A_4).D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.C_2^2.C_{15}.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.(C_5\\times A_4).D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.C_2^2.C_{15}.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^3:C_2^2.C_5^3.(C_6\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 20051919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^3:C_2^2.C_5^3.(C_6\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 20051920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^3:C_2^2.C_5^3.(C_6\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 20051921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^3:C_2^2.C_5^3.(C_6\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 20051922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^3:C_2^2.C_5^3.(C_6\\times S_3)', 'supersolvable': False, 'sylow': 0}
  • id: 20051923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_{15}.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.(C_{15}\\times S_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.(C_5\\times A_4).D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.(C_{15}\\times S_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.(C_{15}\\times S_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.(C_5\\times A_4).D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.(C_5\\times A_4).D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2250000.b', 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5:(C_2\\times A_6)', 'supersolvable': False, 'sylow': 0}
  • id: 20051932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2250000.o', 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5:S_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^5.C_2^2.C_{15}.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20051934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2250000.x', 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5\\wr S_3^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2250000.x', 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5\\wr S_3^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2250000.x', 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5\\wr S_3^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5^4.C_{15}^2.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2250000.x', 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5\\wr S_3^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2250000.x', 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5\\wr S_3^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.350._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '350.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 350, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2250000.x', 'subgroup_hash': None, 'subgroup_order': 2250000, 'subgroup_tex': 'C_5\\wr S_3^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051942
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.360.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '360.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2187500.b', 'subgroup_hash': None, 'subgroup_order': 2187500, 'subgroup_tex': 'C_5^7:D_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 20051943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051967
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20051968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^3.A_4.C_5^3.C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 20051969
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051971
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^5.C_3.C_{10}^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 20051973
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.A_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.k', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.k', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.k', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.k', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.k', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.k', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051994
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.A_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20051995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.(C_2\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 20051996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20051999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052006
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052008
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_{30}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 20052010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.C_3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 20052011
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_{30}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052020
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052030
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052031
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_{15}.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20052032
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052033
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052034
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 20052037
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_{30}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052039
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052040
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^5.C_3.C_{10}^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^5.C_6.C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^5.C_6.C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052043
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^4.C_{15}.C_{10}^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_{30}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052046
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052049
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_{30}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^5.C_{10}.C_{30}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052052
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^5.C_{10}^2.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052053
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_{15}.C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 20052055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^3.(C_5\\times A_4).C_5^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052059
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.A_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^5.C_{10}^2.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 20052061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5\\times C_5^5.A_4.C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 20052062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^5.C_{10}^2.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 20052063
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.A_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^5.A_4.C_5.C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 20052065
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^5.C_{10}^2.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^5.C_6.C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052067
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^4.C_{10}^2.C_{30}', 'supersolvable': False, 'sylow': 0}
  • id: 20052068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.C_3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 20052071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^5.A_4.C_5.C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 20052096
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_{30}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^5.C_{10}^2.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 20052098
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052099
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.j', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.(C_2\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 20052101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.j', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.(C_2\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 20052102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.j', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.(C_2\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 20052104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.j', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.(C_2\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 20052105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.j', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.(C_2\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 20052106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.j', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.(C_2\\times A_5)', 'supersolvable': False, 'sylow': 0}
  • id: 20052107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.o', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052108
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.o', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.o', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.o', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.FZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.FZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.o', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.GA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.GA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.GB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.GB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1875000.o', 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.GC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.GC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^6.C_2.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052120
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.420._.GD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '420.GD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1875000, 'subgroup_tex': 'C_5^7.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052121
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.480.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1640625.a', 'subgroup_hash': None, 'subgroup_order': 1640625, 'subgroup_tex': 'C_5\\wr (C_7:C_3)', 'supersolvable': False, 'sylow': 0}
  • id: 20052122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.504._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^7.C_{10}.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20052123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.504._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20052124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.504._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20052126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.504._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^5.C_5^3.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 20052127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.504._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20052128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.504._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^5.C_5.C_{10}^2', 'supersolvable': True, 'sylow': 0}
  • id: 20052129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.504._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^7.D_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20052130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.504._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^4.C_5^3.C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 20052131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.504._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^4.C_5^3.C_5.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 20052132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.504._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^4.C_5^3.C_{20}', 'supersolvable': True, 'sylow': 0}
  • id: 20052133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.504._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '504.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1562500, 'subgroup_tex': 'C_5^5.C_5^3.C_4', 'supersolvable': True, 'sylow': 0}
  • id: 20052134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^6.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20052171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^6.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20052172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^6.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20052173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^6.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20052174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^6.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20052175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^6.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20052176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^6.D_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20052177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^4.D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^4.D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^4.D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^4.D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^4.D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^4.D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^4.D_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1500000.bj', 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^6:(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1500000.bj', 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^6:(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1500000.bj', 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^6:(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1500000.bj', 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^6:(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1500000.bj', 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^6:(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.525._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '525.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 525, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1500000.bj', 'subgroup_hash': None, 'subgroup_order': 1500000, 'subgroup_tex': 'C_5^6:(C_2^2\\times S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052193
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.560._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '560.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^4.C_{15}^2.C_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 20052194
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.560._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '560.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^7.C_3.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 20052195
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.560._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '560.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^7.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052196
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.560._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '560.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^7.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052197
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.560._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '560.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^4.C_3.C_5^3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052198
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.560._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '560.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^5.C_{15}.C_{30}', 'supersolvable': False, 'sylow': 0}
  • id: 20052199
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.560._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '560.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1406250, 'subgroup_tex': 'C_5^6.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052200
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.600.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '600.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1312500.b', 'subgroup_hash': None, 'subgroup_order': 1312500, 'subgroup_tex': 'C_5^6:(C_2\\times F_7)', 'supersolvable': False, 'sylow': 0}
  • id: 20052201
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 20052202
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^7.C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 20052204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^6.C_{10}.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20052206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^7.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052215
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^7.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20052216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^6.C_{10}.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 20052217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^4.C_{10}.C_{10}^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^5.D_5^2.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 20052219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^6.D_5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 20052220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^4.C_5^3.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20052221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^4.C_5^3.C_2^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20052222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^5.D_5^2.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 20052223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^3.C_5^3.D_{10}.C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 20052224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.630._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '630.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 630, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1250000, 'subgroup_tex': 'C_5^6.D_5.C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 20052226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.n', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5:A_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.(C_5\\times C_3:S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^3.A_4.C_{10}\\times C_5^2:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 20052231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.(C_5\\times C_3:S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.(C_5\\times C_3:S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.(C_5\\times C_3:S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.(C_5\\times C_3:S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.(C_5\\times C_3:S_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052239
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.(C_5\\times S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052240
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.(C_5\\times S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052241
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.(C_5\\times S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052242
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^4:A_4\\times C_5^2:S_3', 'supersolvable': False, 'sylow': 0}
  • id: 20052243
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.(C_5\\times S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052244
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.(C_5\\times S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^4.C_{15}^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 20052248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.f', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5\\wr (S_3\\wr C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.f', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5\\wr (S_3\\wr C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.f', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5\\wr (S_3\\wr C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.f', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5\\wr (S_3\\wr C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.f', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5\\wr (S_3\\wr C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.f', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5\\wr (S_3\\wr C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.A_4:D_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 20052255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^3:C_2^2.C_5^3.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^3.C_{10}^2.C_{15}.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^3:C_2^2.C_5^3.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.A_4:D_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 20052261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.A_4:D_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 20052262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.A_4:D_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 20052263
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.A_4:D_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 20052265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^5.A_4:D_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 20052266
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.(S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052267
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.(S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052268
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.(S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052270
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.(S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052271
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.(S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052272
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.(S_3\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052273
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052274
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052275
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052276
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052277
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^3:C_2^2.C_5^3.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^3:C_2^2.C_5^3.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052281
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.c', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.c', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.c', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.c', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^4.C_{15}^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 20052287
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.g', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:(S_3\\times D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 20052288
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.g', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:(S_3\\times D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 20052289
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.g', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:(S_3\\times D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 20052290
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.g', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:(S_3\\times D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 20052293
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.g', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:(S_3\\times D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 20052294
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.g', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:(S_3\\times D_6)', 'supersolvable': False, 'sylow': 0}
  • id: 20052295
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.C_3.D_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052296
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052297
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052298
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052299
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052300
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052301
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^4.C_3:S_3.C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052304
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.s', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:(C_2\\times C_3^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052305
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.s', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:(C_2\\times C_3^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052306
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.s', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:(C_2\\times C_3^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052307
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.s', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:(C_2\\times C_3^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052308
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.s', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:(C_2\\times C_3^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052309
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.s', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:(C_2\\times C_3^2:C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052310
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.C_3:S_3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.f', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5\\wr (S_3\\wr C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.f', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5\\wr (S_3\\wr C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.f', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5\\wr (S_3\\wr C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.f', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5\\wr (S_3\\wr C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.f', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5\\wr (S_3\\wr C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.f', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5\\wr (S_3\\wr C_2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.c', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.c', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.c', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.c', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.c', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.c', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.c', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^4.C_{15}^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 20052327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1125000.c', 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6:\\SOPlus(4,2)', 'supersolvable': False, 'sylow': 0}
  • id: 20052328
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052329
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052330
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052331
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052332
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052333
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052334
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052335
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052337
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052338
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052339
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052340
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.700._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '700.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1125000, 'subgroup_tex': 'C_5^6.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052341
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.720._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '720.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1093750.a', 'subgroup_hash': None, 'subgroup_order': 1093750, 'subgroup_tex': 'C_5^7:C_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 20052342
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.720._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '720.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1093750.c', 'subgroup_hash': None, 'subgroup_order': 1093750, 'subgroup_tex': 'C_5^7:D_7', 'supersolvable': False, 'sylow': 0}
  • id: 20052343
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.720._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '720.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1093750.b', 'subgroup_hash': None, 'subgroup_order': 1093750, 'subgroup_tex': 'C_5\\wr D_7', 'supersolvable': False, 'sylow': 0}
  • id: 20052344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052352
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052353
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^3.C_{10}^2.C_5.C_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 20052354
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^4:C_2^2\\times C_5\\times C_5^2:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 20052355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '937500.i', 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5\\wr A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '937500.i', 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5\\wr A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '937500.i', 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5\\wr A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 15625, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '937500.i', 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5\\wr A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '937500.i', 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5\\wr A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '937500.i', 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5\\wr A_5', 'supersolvable': False, 'sylow': 0}
  • id: 20052375
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^5.C_{10}^2.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 20052376
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^5.C_{15}.C_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 20052377
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^4.C_{15}.C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052378
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^5.C_3.C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052379
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^3:S_3\\times C_5^4:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052381
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^5.C_3.C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052382
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052383
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052384
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 20052385
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052386
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052387
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052388
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5\\times C_5^5.(C_5\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 20052389
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^4:C_4\\times C_5\\times C_5^2:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 20052390
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^4:C_2^2\\times C_5\\times C_5^2:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 20052392
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.C_{30}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052393
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052394
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.C_{30}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052395
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052396
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052397
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052398
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^3.C_{15}.C_5.C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052399
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^4.C_{15}.C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052400
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052401
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.C_{15}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052404
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052405
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052406
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.C_{30}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052407
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.C_{15}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052408
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052409
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.C_{15}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052410
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.C_{30}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052411
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052412
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052413
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^6.C_{15}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052415
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052416
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^5.C_3.C_{10}^2', 'supersolvable': False, 'sylow': 0}
  • id: 20052417
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052418
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.840._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '840.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 937500, 'subgroup_tex': 'C_5^7.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 20052419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.875._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '875.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 875, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 900000, 'subgroup_tex': 'C_5^3.C_{10}^2.S_3^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.875._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '875.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 875, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 900000, 'subgroup_tex': 'C_5^5.(S_3\\times S_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 20052421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 156250, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.1008._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^7.C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20052422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.1008._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^7.C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20052423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.1008._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^7.C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20052424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.1008._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^7.D_5', 'supersolvable': True, 'sylow': 0}
  • id: 20052426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.1008._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^6.C_5.C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20052427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.1008._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^5.C_5^3.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20052428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 78125, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.1008._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1008.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 781250, 'subgroup_tex': 'C_5^4.C_5^3.C_{10}', 'supersolvable': True, 'sylow': 0}
  • id: 20052429
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 156250, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.5040._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '5040.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '5040.w', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 5040, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'S_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 156250, 'subgroup_tex': 'C_5^7.C_2', 'supersolvable': True, 'sylow': 0}
  • id: 20052430
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 78125, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.10080._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '10080.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '10080.l', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 10080, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2\\times S_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '78125.34297', 'subgroup_hash': None, 'subgroup_order': 78125, 'subgroup_tex': 'C_5^7', 'supersolvable': True, 'sylow': 0}
  • id: 20052431
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 15625, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '787500000.b.50400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '50400.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '50400.g', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 50400, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'D_5\\times S_7', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '15625.11', 'subgroup_hash': None, 'subgroup_order': 15625, 'subgroup_tex': 'C_5^6', 'supersolvable': True, 'sylow': 0}
  • id: 20052432
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5, 'counter': 726, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '787500000.b.157500000._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '157500000.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '157500000.b', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 157500000, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^6.(C_2\\times S_7)', 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5.1', 'subgroup_hash': None, 'subgroup_order': 5, 'subgroup_tex': 'C_5', 'supersolvable': True, 'sylow': 0}
  • id: 20052433
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '787500000.b', 'ambient_counter': 2, 'ambient_order': 787500000, 'ambient_tex': 'C_5^6.(D_5\\times S_7)', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 727, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '787500000.b.787500000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '787500000.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '787500000.b', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 787500000, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_5^6.(D_5\\times S_7)', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': None, '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: 20051736
    {'ambient': '787500000.b', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [6682911996507263661228681012902757895583, 2701870020620051659550394602090568509464], 'label': '787500000.b.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051737
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [816570, 35367047974958936242258797995553, 1180931214473497460788133848365958329696, 128424433046117856, 9421399469883577716499146026606497111015, 1938901741996868808768096, 93925681920, 2120095852774889501854515411624254364839], 'label': '787500000.b.10._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051738
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [6083754739177234191372433557909539550720, 35367050456752543175310478214400, 1451616, 3945205619505538516721388071507217366983, 9712169632242099921432960, 280217387584, 137369378570776517965836322782720, 1938901639558795593131520, 1770834885269184000, 128424084333995520, 33, 911748377415199744559424806015292413280], 'label': '787500000.b.140._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051739
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [6083754739177234191372433557909539550720, 35367050456752543175310478214400, 1451616, 3953625806581408443370752474808097030464, 3945205619505538516721388071507217366983, 9712169632242099921432960, 280217387584, 137369378570776517965836322782720, 1938901639558795593131520, 128424084333995520, 33, 911748377415199744559424806015292413280], 'label': '787500000.b.140._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051740
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': '150.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 150, 'diagramx': None, 'generators': [26584438305803368521974190072969098246, 816570, 647475638566158067115616, 187769036224, 26584537812486152339897755572292841549, 304187488649084796193525439353922329050, 35367047974959191960596807680090, 2432687238508688868499396749378444989496, 256806323085312090], 'label': '787500000.b.150.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '150.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '150.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051741
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [27439951015054247445135360408993, 96, 256806323085312000, 1451553, 7264685962843427219628187705824915880953, 911748377415200391932753063677109817690, 2701869892407816015724035768007559165490, 280215936064, 1294849222542226391040000], 'label': '787500000.b.168._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '168.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051742
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [1938901255416373248000000, 96, 911748377415201035985297416065352889690, 280215936000, 5743747275751171992732603184657531008090, 1209600, 2129297429313934704915456527661952609080, 128424084332544000, 18315079063079178476485510329690], 'label': '787500000.b.168._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '168.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '168._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051743
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1938901512222696333312000, 81156841264713671981805625344000, 6083754757527067509498985545353482551096, 280215936064, 9733990608386404061117397429597433033560, 1180931196158416563390474438922793573793, 9157942499263447353243107328000, 749857277433, 2454450, 409056, 5719183450577451638784000, 33, 26584510304699439475551428733047366366], 'label': '787500000.b.175._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '175.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '175._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051744
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1938901512222696333312000, 6083754757527067509498985545353482551096, 280215936064, 9733990608386404061117397429597433033560, 81156843746507278914763382784000, 1180931196158416563390474438922793573793, 5176291099060867129344000, 486580401635328000, 9157942499263447353243107328000, 749857686393, 409056, 26584510304699439475551428733047366366, 2861970], 'label': '787500000.b.175._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '175.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '175._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051745
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [81156841264713671981805625344000, 9733990608386404061117397429597433033560, 6083754757527067509498985545353482551096, 1180931196158416563390474438922793573793, 280215936064, 26584510304699439475551428733047366366, 9157942499263447353243107328000, 409056, 486580401635328033, 128424084334998450, 5719183450577451638784000, 128424834189821433, 1938901512222696333312000], 'label': '787500000.b.175._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '175.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '175._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051746
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1938901512222696333312000, 81156841264713671981805625344000, 6083754757527067509498985545353482551096, 280215936064, 9733990608386404061117397429597433033560, 1180931196158416563390474438922793573793, 486580401635328064, 9157942499263447353243107328000, 384142422346134450, 384143172200957433, 409056, 5719183450577451638784000, 26584510304699439475551428733047366366], 'label': '787500000.b.175._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '175.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '175._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051747
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1938901512222696333312000, 81156841264713671981805625344000, 6083754757527067509498985545353482551096, 280215936064, 9733990608386404061117397429597433033560, 1180931196158416563390474438922793573793, 256807072942589433, 9157942499263447353243107328000, 256806323087766450, 409056, 5719183450577451638784000, 486580401635328090, 26584510304699439475551428733047366366], 'label': '787500000.b.175._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '175.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '175._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051748
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [96, 2728454338607646444340217488399277567966, 348713573760, 26584438305803368521974190072969098183, 1180931231525467020143375770456651384416, 9157942499262960773190185981370, 2432687246435779997676841260282203977593, 816570, 27439951015054504251458446763553, 647475510142073733120000], 'label': '787500000.b.14._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051749
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [81156841264713671981805625344000, 9733990608386404061117397429597433033560, 6083754757527067509498985545353482551096, 1180931196158416563390474438922793573793, 280215936064, 26584510304699439475551428733047366366, 9157942499263447353243107328000, 486580401637782450, 409056, 5719183450577451638784000, 486580401635328096, 486581151492605433, 1938901512222696333312000], 'label': '787500000.b.175._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '175.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '175._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051750
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [35367047974958807818174464000033, 1209664, 10028960277525921195379570220765829095006, 903328199497264008075237137180965788839, 2728454366115432516790457963438550814919, 1180931231525467020142889190055016056320, 35367047974958807818268388639456, 27439951662529757587303017350400], 'label': '787500000.b.175._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '175.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '175._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051751
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [1209690, 304187479491946398059210944639569183360, 1520938687092275298607460907772000003864, 486580681852473600, 348713573760, 15431353109942025628541433, 9157942499263217579513271686400, 2481793606932957758649696, 6995503234448955865179997409062586937696], 'label': '787500000.b.210._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051752
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [26584455357788359230223615861286274719, 1520938687092262349047957898704128902464, 304187479491946398059210944639569183360, 486580681852473600, 348713573760, 2481793606932957757440096, 816480, 9157942499263217579513271686400, 6995503234448949390400566967773850041696], 'label': '787500000.b.210._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051753
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [1520938687092275942659877924341200643864, 6995503234448954030861900618178562617696, 304187479491946398059210944639569183360, 486580681852473600, 348713573760, 15431353109942025628541433, 816480, 9157942499263217579513271686400, 647475510142073733120096], 'label': '787500000.b.210._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051754
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [304187479491946398059210944639569183360, 90, 6995503234448955322287645892197861561696, 486580681852473600, 348713573760, 12949559503009067871101433, 2481793606932957757440096, 1520938687092274651234132650041686172824, 9157942499263217579513271686400], 'label': '787500000.b.210._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051755
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [2481793606932957758256576, 304187479491946398059210944639569183360, 486580681852473600, 348713573760, 15431353109942025628541433, 6995503234448955322287645892478077497696, 1520938687092276485552229440925710083864, 9157942499263217579513271686400, 816570], 'label': '787500000.b.210._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051756
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [6995503234448954678235228875908876857696, 304187479491946398059210944639569183360, 486580681852473600, 348713573760, 15431353109942025628541433, 1520938687092274651234132650041685763864, 2481793606932957758891616, 1451610, 9157942499263217579513271686400], 'label': '787500000.b.210._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051757
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [409050, 304187479491946398059210944639569183360, 486580681852473600, 1520938687092274003758622507967952643864, 348713573760, 15431353109942025628541433, 6995503234448953383386390476104829497696, 9157942499263217579513271686400, 2481793606932957757849056], 'label': '787500000.b.210._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051758
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [27439951015054631587906416844800, 1209664, 155684451810089087239541912524800, 90, 26584556094492729230287167152826901735, 93924230400, 164809324409539510803358384128000, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 7908880905795401614302052417835911728576, 9125632113395716270441832589857674409010, 647475510142073733120096], 'label': '787500000.b.210._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051759
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [2129297299871649961237712890867848677793, 9157942499262960773190185981370, 816570, 96, 348713573760, 608358504148643235860333598109185197976, 1180931231525467020143375770456651384416, 27439951015054504251458446763553, 647475510142073733120000], 'label': '787500000.b.14._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051760
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [27439951015054631587906416844800, 2454424, 1209664, 90, 93924230400, 18315090609567191480112188285400, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 7908880905795401614302052417835911728576, 9125632113395716270441832589857674409010, 647475510142073733120096, 26584473672851886373235962879734911935], 'label': '787500000.b.210._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051761
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 2454424, 1209664, 155684451810089087239541912524800, 90, 93924230400, 164809324409539510803358384128000, 7900460837739055688706924516438997299839, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 647475510142073733120096, 3041877401658427809712334500494215981944], 'label': '787500000.b.210._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051762
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 1209664, 90, 155684451810089087239541914979224, 93924230400, 18315090609567191480112188285400, 26584575675177305899847049486694271935, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 7908880905795401614302052417835911728576, 9125632113395716270441832589857674409010, 647475510142073733120096], 'label': '787500000.b.210._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051763
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 1209664, 90, 155684451810089087239541914979224, 93924230400, 164809324409539510803358384128000, 26584556094492729230287167152830156735, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 7908880905795401614302052417835911728576, 9125632113395716270441832589857674409010, 647475510142073733120096], 'label': '787500000.b.210._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051764
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 1209664, 155684451810089087239541912524800, 90, 93924230400, 18315090609567191480112188285400, 26584575675177305899847049486694271935, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 7908880905795401614302052417835911728576, 9125632113395716270441832589857674409010, 647475510142073733120096], 'label': '787500000.b.210._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051765
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 1209664, 155684451810089087239541912524800, 90, 93924230400, 164809324409539510803358384128000, 26584556094492729230287167152830156735, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 7908880905795401614302052417835911728576, 9125632113395716270441832589857674409010, 647475510142073733120096], 'label': '787500000.b.210._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051766
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 1209664, 90, 26584556094492729230287167152826901735, 93924230400, 18315090609567191480112188285400, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 7908880905795401614302052417835911728576, 9125632113395716270441832589857674409010, 647475510142073733120096, 26584473672851886373235962879734911935], 'label': '787500000.b.210._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051767
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 1209664, 26584575675177305899460641144886783935, 90, 26584556094492729230287167152826901735, 93924230400, 164809324409539510803358384128000, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 7908880905795401614302052417835911728576, 9125632113395716270441832589857674409010, 647475510142073733120096], 'label': '787500000.b.210._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051768
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 1209664, 155684451810089087239541912524800, 90, 26584575675177305899847049486691016935, 93924230400, 18315090609567191480112188285400, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 7908880905795401614302052417835911728576, 9125632113395716270441832589857674409010, 647475510142073733120096], 'label': '787500000.b.210._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051769
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 7908881061479850187001424436498636157376, 2454424, 1209664, 90, 93924230400, 164809324409539510803358384128000, 7900460837739055688706924516438997299839, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 647475510142073733120096, 3041877401658427809712334500494215981944], 'label': '787500000.b.210._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051770
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [96, 2129297299871649961237712890867848677793, 348713573760, 1180931231525467020143375770456651384416, 903328199497265842395157871435443482149, 9157942499262960773190185981370, 816570, 27439951015054504251458446763553, 647475510142073733120000], 'label': '787500000.b.14._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051771
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 7908881061479850187001424436498636157376, 1209664, 90, 93924230400, 164809324409539510803358384128000, 7908880905795401614302052417835912957496, 7900460837739055688706924516438997299839, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 647475510142073733120096, 3041877401658427809712334500494215981944], 'label': '787500000.b.210._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051772
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [9157942499262960773190185164800, 647475510142073733120096, 90, 2454424, 164809324409539510803358384128000, 7908880905795401614302052417835911728576, 26584575675177305899460641144886783935, 1209664, 911748349975250020930665828507648816544, 27439951015054631587906416844800, 93924230400, 9125632113395716270441832589857674409010], 'label': '787500000.b.210._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051773
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 2454424, 1209664, 155684451810089087239541912524800, 90, 93924230400, 18315090609567191480112188285400, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 7908880905795401614302052417835911728576, 9125632113395716270441832589857674409010, 647475510142073733120096], 'label': '787500000.b.210._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051774
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 2454424, 1209664, 155684451810089087239541912524800, 90, 93924230400, 164809324409539510803358384128000, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 7908880905795401614302052417835911728576, 9125632113395716270441832589857674409010, 647475510142073733120096], 'label': '787500000.b.210._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051775
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [816480, 2432687027909569118759047689475498723776, 26584455357772927877113673835657733229, 348713573760, 14244408341408871918461433, 9157942499263217579513271686400, 486580681852473600, 2481793606932957757440096, 304187479491946398059210944639569183360, 5161973254433319901481825541567146696903], 'label': '787500000.b.210._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051776
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [304187479491946398059210944639569183360, 486580681852473600, 348713573760, 15431353109942025628541433, 5161973254433319901481825541567146696903, 2432687027909569118759047689475498723713, 816480, 9157942499263217579513271686400, 26584455357772927877113673835657733319, 647475510142073733120096], 'label': '787500000.b.210._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051777
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [90, 26584455357772927877113673835657098189, 486580681852473600, 304187479491946398059210944639569183360, 9157942499263217579513271686400, 348713573760, 5161973254433319901481825541567146696903, 2481793606932957757440096, 12949559503009067871101433, 2432687027909569118759047689636443261376], 'label': '787500000.b.210._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051778
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2481793606932957758256576, 304187479491946398059210944639569183360, 486580681852473600, 2432687027909569118759047689475498723770, 348713573760, 15431353109942025628541433, 5161973254433319901481825541567146696903, 9157942499263217579513271686400, 816570, 26584455357772927877113673835657733255], 'label': '787500000.b.210._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051779
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2432687027909569118759047689475498723744, 304187479491946398059210944639569183360, 486580681852473600, 348713573760, 15431353109942025628541433, 5161973254433319901481825541567146696903, 2481793606932957758891616, 1451610, 9157942499263217579513271686400, 26584455357772927877113673835657733286], 'label': '787500000.b.210._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051780
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [409050, 304187479491946398059210944639569183360, 486580681852473600, 348713573760, 15431353109942025628541433, 5161973254433319901481825541567146696903, 2432687027909569118759047689475498723680, 26584455357772927877113673835657733223, 9157942499263217579513271686400, 2481793606932957757849056], 'label': '787500000.b.210._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051781
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': '20.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [9157944438164344613579268480064, 1294849095206127133881690, 911748359133190581292627991298958763520, 1451553, 10306563419448791354165502697490876140800, 384142771056844890, 2701869919882526465540619419579351448960, 93925046944], 'label': '787500000.b.20.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051782
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1209690, 304187479491946398059210944639569183360, 486580681852473600, 348713573760, 15431353109942025628541433, 5161973254433319901481825541567146696903, 26584455357772927877113673835657733229, 2481793606932957758649696, 9157942499263217579513271686400, 2432687027909569118759047689475498723776], 'label': '787500000.b.210._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051783
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [816480, 26584455357772927877113673835657733229, 348713573760, 9157942499263217579513271686400, 486580681852473600, 2481793606932957757440096, 6995503234448949390400566967773850041696, 304187479491946398059210944639569183360, 1520938687092262349047957898704128902464], 'label': '787500000.b.210._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051784
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [6995503234448949390400566967773850041633, 816480, 26584455357772927877113673835657733229, 1520938687092262349047957898704128902490, 348713573760, 9157942499263217579513271686400, 486580681852473600, 647475510142073733120096, 304187479491946398059210944639569183360], 'label': '787500000.b.210._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051785
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [26584455357772927877113673835657733229, 348713573760, 90, 9157942499263217579513271686400, 486580681852473600, 2481793606932957757440096, 304187479491946398059210944639569183360, 6995503234448949390400566967493634105696, 1520938687092262349047957898704129311424], 'label': '787500000.b.210._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051786
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [816570, 26584455357772927877113673835657733229, 348713573760, 9157942499263217579513271686400, 486580681852473600, 6995503234448949390400566967773850041690, 2481793606932957758256576, 1520938687092262349047957898704128902496, 304187479491946398059210944639569183360], 'label': '787500000.b.210._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051787
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2481793606932957758891616, 26584455357772927877113673835657733229, 348713573760, 9157942499263217579513271686400, 486580681852473600, 1451610, 304187479491946398059210944639569183360, 6995503234448949390400566967773850041664, 1520938687092262349047957898704128902433], 'label': '787500000.b.210._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051788
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [409050, 304187479491946398059210944639569183360, 486580681852473600, 6995503234448949390400566967773850041600, 348713573760, 26584455357772927877113673835657733229, 9157942499263217579513271686400, 2481793606932957757849056, 1520938687092262349047957898704128902400], 'label': '787500000.b.210._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051789
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1520938687092262349047957898704128902464, 1209690, 304187479491946398059210944639569183360, 486580681852473600, 348713573760, 26584455357772927877113673835657733229, 9157942499263217579513271686400, 2481793606932957758649696, 6995503234448949390400566967773850041696], 'label': '787500000.b.210._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051790
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [304187479491946398059210944639569183360, 486580681852473600, 348713573760, 2481793606932957757440096, 6995503234448955322287645892478077497696, 1520938687092274651234132650041685763864, 816480, 9157942499263217579513271686400, 26584455357772927877113673835657733319], 'label': '787500000.b.210._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051791
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1520938687092275942659877924341200643864, 6995503234448954030861900618178562617696, 816480, 26584455357772927877113673835657733229, 348713573760, 9157942499263217579513271686400, 486580681852473600, 647475510142073733120096, 304187479491946398059210944639569183360], 'label': '787500000.b.210._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051792
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': '21.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [295767292416075827460252447993944714279, 647475510142167658166913, 96, 35367047974958936242258797995553, 1180931196158416563390474438668005440064, 348713573760, 26584438305803368521974190072969098183, 1816706071054847730628549406497646015909, 128424433046117856, 816570, 608358530357755186335867890208645437464], 'label': '787500000.b.21.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '21.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051793
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [304187479491946398059210944639569183360, 90, 6995503234448955322287645892197861561696, 486580681852473600, 348713573760, 2481793606932957757440096, 1520938687092274651234132650041686172824, 26584455357772927877113673835657733229, 9157942499263217579513271686400], 'label': '787500000.b.210._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051794
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [816570, 26584455357772927877113673835657733229, 348713573760, 9157942499263217579513271686400, 486580681852473600, 6995503234448955322287645892478077497696, 2481793606932957758256576, 1520938687092276485552229440925710083864, 304187479491946398059210944639569183360], 'label': '787500000.b.210._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051795
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2481793606932957758891616, 26584455357772927877113673835657733229, 348713573760, 9157942499263217579513271686400, 486580681852473600, 1451610, 1520938687092274651234132650041685763864, 304187479491946398059210944639569183360, 6995503234448954678235228875908876857696], 'label': '787500000.b.210._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051796
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [409050, 304187479491946398059210944639569183360, 486580681852473600, 1520938687092274003758622507967952643864, 348713573760, 26584455357772927877113673835657733229, 6995503234448953383386390476104829497696, 9157942499263217579513271686400, 2481793606932957757849056], 'label': '787500000.b.210._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051797
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1209690, 304187479491946398059210944639569183360, 1520938687092275298607460907772000003864, 486580681852473600, 348713573760, 26584455357772927877113673835657733229, 2481793606932957758649696, 9157942499263217579513271686400, 6995503234448955865179997409062586937696], 'label': '787500000.b.210._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051798
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 1209664, 155684451810089087239541912524800, 90, 93924230400, 164809324409539510803358384128000, 7908880905795401614302052417835912957496, 7900460837739055688706924516438997299839, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 647475510142073733120096, 3041877401658427809712334500494215981944], 'label': '787500000.b.210._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051799
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [6995503234448949390400566967773850041633, 816480, 1520938687092262349047957898704128902490, 348713573760, 9157942499263217579513271686400, 486580681852473600, 647475510142073733120096, 304187479491946398059210944639569183360, 26584455357786420328968199488038274719], 'label': '787500000.b.210._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051800
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [26584455357786420328968199488038274719, 304187479491946398059210944639569183360, 90, 486580681852473600, 1520938687092262349047957898704129311424, 348713573760, 2481793606932957757440096, 9157942499263217579513271686400, 6995503234448949390400566967493634105696], 'label': '787500000.b.210._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051801
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [816570, 348713573760, 9157942499263217579513271686400, 486580681852473600, 6995503234448949390400566967773850041690, 2481793606932957758256576, 1520938687092262349047957898704128902496, 304187479491946398059210944639569183360, 26584455357786420328968199488038274719], 'label': '787500000.b.210._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051802
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2481793606932957758891616, 348713573760, 9157942499263217579513271686400, 486580681852473600, 1451610, 304187479491946398059210944639569183360, 6995503234448949390400566967773850041664, 26584455357786420328968199488038274719, 1520938687092262349047957898704128902433], 'label': '787500000.b.210._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051803
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': '28.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [816544, 2129297182082965028184510937306147718490, 486580401635736960, 348713573760, 33, 647475510142167658560000, 911748349975248082029667218645255148800, 2432687092014444817104431101292125190400, 18315080354505410331466876473600], 'label': '787500000.b.28.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '28.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051804
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [409050, 26584455357786420328968199488038274719, 304187479491946398059210944639569183360, 486580681852473600, 6995503234448949390400566967773850041600, 348713573760, 9157942499263217579513271686400, 2481793606932957757849056, 1520938687092262349047957898704128902400], 'label': '787500000.b.210._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051805
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1520938687092262349047957898704128902464, 26584455357786420328968199488038274719, 1209690, 304187479491946398059210944639569183360, 486580681852473600, 348713573760, 2481793606932957758649696, 9157942499263217579513271686400, 6995503234448949390400566967773850041696], 'label': '787500000.b.210._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051806
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [26584455357788359230223615861286274719, 304187479491946398059210944639569183360, 486580681852473600, 348713573760, 2481793606932957757440096, 6995503234448955322287645892478077497696, 1520938687092274651234132650041685763864, 816480, 9157942499263217579513271686400], 'label': '787500000.b.210._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051807
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1520938687092275942659877924341200643864, 6995503234448954030861900618178562617696, 816480, 348713573760, 9157942499263217579513271686400, 486580681852473600, 647475510142073733120096, 304187479491946398059210944639569183360, 26584455357786420328968199488038274719], 'label': '787500000.b.210._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051808
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [26584455357786420328968199488038274719, 304187479491946398059210944639569183360, 90, 6995503234448955322287645892197861561696, 486580681852473600, 348713573760, 2481793606932957757440096, 1520938687092274651234132650041686172824, 9157942499263217579513271686400], 'label': '787500000.b.210._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051809
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [816570, 348713573760, 9157942499263217579513271686400, 486580681852473600, 6995503234448955322287645892478077497696, 2481793606932957758256576, 1520938687092276485552229440925710083864, 304187479491946398059210944639569183360, 26584455357786420328968199488038274719], 'label': '787500000.b.210._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051810
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [6995503234448954678235228875908876857696, 26584455357786420328968199488038274719, 304187479491946398059210944639569183360, 486580681852473600, 348713573760, 1520938687092274651234132650041685763864, 2481793606932957758891616, 1451610, 9157942499263217579513271686400], 'label': '787500000.b.210._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051811
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [409050, 26584455357786420328968199488038274719, 304187479491946398059210944639569183360, 486580681852473600, 1520938687092274003758622507967952643864, 348713573760, 6995503234448953383386390476104829497696, 9157942499263217579513271686400, 2481793606932957757849056], 'label': '787500000.b.210._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051812
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [26584455357786420328968199488038274719, 1209690, 304187479491946398059210944639569183360, 1520938687092275298607460907772000003864, 486580681852473600, 348713573760, 2481793606932957758649696, 9157942499263217579513271686400, 6995503234448955865179997409062586937696], 'label': '787500000.b.210._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051813
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [12949559503009067871101433, 816480, 6682911996507275319361154494099754706029, 348713573760, 9157942499263217579513271686400, 486580681852473600, 2481793606932957757440096, 2120095852774901803938508278967105103486, 304187479491946398059210944639569183360], 'label': '787500000.b.210._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051814
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': '30.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 30, 'diagramx': None, 'generators': [8785624704849546177039135734082676608033, 280216752544, 96, 27439951015054631587651628319456, 486580681852473696, 1180931196158416563390474438668005440064, 26584438305803368521974190072969098183, 2129297200364970306585852615366729091800, 408960, 911748377415201035985297416345568825690], 'label': '787500000.b.30.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051815
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [15431353109942025628541433, 816480, 348713573760, 2120095852774899969620411488083080783486, 9157942499263217579513271686400, 486580681852473600, 647475510142073733120096, 6682911996507275963413571510668955346029, 304187479491946398059210944639569183360], 'label': '787500000.b.210._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051816
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [304187479491946398059210944639569183360, 90, 486580681852473600, 348713573760, 12949559503009067871101433, 2481793606932957757440096, 2120095852774899969620411488083080783486, 9157942499263217579513271686400, 6682911996507276610786899768305345355629], 'label': '787500000.b.210._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051817
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2481793606932957758256576, 304187479491946398059210944639569183360, 486580681852473600, 6682911996507275319361154494099754706029, 348713573760, 15431353109942025628541433, 2120095852774899969620411488083080783486, 9157942499263217579513271686400, 816570], 'label': '787500000.b.210._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051818
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [304187479491946398059210944639569183360, 486580681852473600, 6682911996507277258262409910473002706029, 348713573760, 15431353109942025628541433, 2481793606932957758891616, 1451610, 2120095852774899969620411488083080783486, 9157942499263217579513271686400], 'label': '787500000.b.210._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051819
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [409050, 304187479491946398059210944639569183360, 486580681852473600, 348713573760, 15431353109942025628541433, 2120095852774899969620411488083080783486, 9157942499263217579513271686400, 6682911996507274776468802977515245266029, 2481793606932957757849056], 'label': '787500000.b.210._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051820
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [15431353109942025628541433, 348713573760, 2120095852774899969620411488083080783486, 9157942499263217579513271686400, 486580681852473600, 2481793606932957758649696, 304187479491946398059210944639569183360, 1209690, 6682911996507276610786899768399269586029], 'label': '787500000.b.210._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051821
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [304187479491946398059210944639569183360, 486580681852473600, 348713573760, 12949559503009067871101433, 2481793606932957757440096, 6995503234448955322287645892478077497696, 1520938687092274651234132650041685763864, 816480, 9157942499263217579513271686400], 'label': '787500000.b.210._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051822
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 1209664, 155684451810089087239541912524800, 90, 93924230400, 164809324409539510803358384128000, 7908880905795401614302052417835912957496, 26584556094492729230287167152830156735, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 647475510142073733120096, 3041877401658427809712334500494215981944], 'label': '787500000.b.210._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051823
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 7908881061479850187001424436498636157376, 1209664, 90, 93924230400, 164809324409539510803358384128000, 7908880905795401614302052417835912957496, 26584556094492729230287167152830156735, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 647475510142073733120096, 3041877401658427809712334500494215981944], 'label': '787500000.b.210._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051824
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 7908881061479850187001424436498636157376, 2454424, 1209664, 90, 93924230400, 164809324409539510803358384128000, 26584556094492729230287167152830156735, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 647475510142073733120096, 3041877401658427809712334500494215981944], 'label': '787500000.b.210._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051825
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [35367047974958936242258797995553, 911748377415205571863472440791417216096, 96, 304187497773956852752650878698595276193, 26584438305803368521974190072969098183, 903328281918908088322131985923992706535, 816570, 647475510142167658166913, 1180931196158416563390474438668005440064, 8812209105292656453099853283197854411686, 8508021599591602097551444120358761044446, 348713573760, 911748431132088591147744615687022763553, 128424433046117856], 'label': '787500000.b.35._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '35.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '35._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051826
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439951015054631587906416844800, 2454424, 1209664, 155684451810089087239541912524800, 90, 93924230400, 164809324409539510803358384128000, 26584556094492729230287167152830156735, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 647475510142073733120096, 3041877401658427809712334500494215981944], 'label': '787500000.b.210._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051827
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [9157942499262960773190185164800, 647475510142073733120096, 90, 2454424, 7908880905795401614302052417835911728576, 18315090609567191480112188285400, 1209664, 911748349975250020930665828507648816544, 27439951015054631587906416844800, 26584556094492729230287167152830156735, 93924230400, 9125632113395716270441832589857674409010], 'label': '787500000.b.210._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051828
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [9157942499262960773190185164800, 647475510142073733120096, 90, 2454424, 164809324409539510803358384128000, 7908880905795401614302052417835911728576, 1209664, 911748349975250020930665828507648816544, 27439951015054631587906416844800, 26584556094492729230287167152830156735, 93924230400, 9125632113395716270441832589857674409010], 'label': '787500000.b.210._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051829
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [14888460758426259471562290, 608358522430650456800855489249280000000, 93925681920, 26584464514915318997996241513101567909, 96, 486580401635328000, 11007018754612425777283896, 2129297191240096412286178298917152441600, 1938901255416373248000064, 816570, 9429819656959461236657606443420985036160, 27439951015054247445229284639360], 'label': '787500000.b.210._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051830
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [14888460758426259471562290, 608358522430650456800855489249280000000, 93925681920, 26584464514915318997996241513101567909, 96, 469639296090, 486580401635328000, 2129297191240096412286178298917152441600, 1938901255416373248000064, 816570, 9429819656959461236657606443420985036160, 27439951015054247445229284639360], 'label': '787500000.b.210._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051831
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [14888460758426259471562290, 608358522430650456800855489249280000000, 93925681920, 26584464514915318997996241513101567909, 96, 486580401635328000, 2129297191240096412286178298917152441600, 1938901255416373248000064, 11007018754613296556843584, 816570, 9429819656959461236657606443420985036160, 27439951015054247445229284639360], 'label': '787500000.b.210._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051832
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [14888460758426259471562290, 608358522430650456800855489249280000000, 93925681920, 96, 469639296090, 486580401635328000, 11007018754612425777283896, 2129297191240096412286178298917152441600, 1938901255416373248000064, 816570, 9429819656959461236657606443420985036160, 27439951015054247445229284639360], 'label': '787500000.b.210._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051833
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [14888460758426259471562290, 608358522430650456800855489249280000000, 93925681920, 96, 486580401635328000, 11007018754612425777283896, 2129297191240096412286178298917152441600, 1938901255416373248000064, 816570, 9429819656959461236657606443420985036160, 26584464514915318997996242452378114566, 27439951015054247445229284639360], 'label': '787500000.b.210._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051834
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [14888460758426259471562290, 608358522430650456800855489249280000000, 93925681920, 96, 469639296090, 486580401635328000, 2129297191240096412286178298917152441600, 1938901255416373248000064, 26584464514922980722092777696040550943, 816570, 9429819656959461236657606443420985036160, 27439951015054247445229284639360], 'label': '787500000.b.210._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051835
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [14888460758426259471562290, 608358522430650456800855489249280000000, 93925681920, 96, 486580401635328000, 2129297191240096412286178298917152441600, 1938901255416373248000064, 26584464514922980722092777696040550943, 816570, 9429819656959461236657606443420985036160, 26584464514915318997996242452378114566, 27439951015054247445229284639360], 'label': '787500000.b.210._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051836
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '35T260', 'count': 35, 'diagramx': None, 'generators': [1180931231525467020143375770456649932800, 348713573760, 647475638566251990710880, 2728454375240303817752474831584456578599, 90, 2120095843616952829896759191703004098509, 26584438305803368521974190072969098183, 1180931231525467020142889189986517376000, 304187470334004546271888696110582662400], 'label': '787500000.b.35._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '35.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '35._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051837
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1209690, 304187479491946398059210944639569183360, 486580681852473600, 6995503234448949390400566967773850041633, 348713573760, 26584455357772927877113673835657733229, 9157942499263217579513271686400, 1520938687092262349047957898704128902490, 2481793606932957757849056], 'label': '787500000.b.210._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051838
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1520938687092262349047957898704128902464, 304187479491946398059210944639569183360, 486580681852473600, 348713573760, 26584455357772927877113673835657733229, 1451610, 9157942499263217579513271686400, 2481793606932957758649696, 6995503234448949390400566967773850041696], 'label': '787500000.b.210._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051839
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [409050, 1520938687092262349047957898704128902464, 304187479491946398059210944639569183360, 486580681852473600, 348713573760, 26584455357772927877113673835657733229, 2481793606932957758649696, 9157942499263217579513271686400, 6995503234448949390400566967773850041696], 'label': '787500000.b.210._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051840
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [27439951015054631587906416844800, 1209664, 164809336603502160960222904243296, 90, 155684451810089087239541914979224, 93924230400, 26584575675177305899847049486694271935, 911748349975250020930665828507648816544, 9157942499262960773190185164800, 7908880905795401614302052417835911728576, 9125632113395716270441832589857674409010, 647475510142073733120096], 'label': '787500000.b.210._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051841
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1938901255416373248000033, 816480, 26584455357772927877113673835657733229, 348713573760, 9157942499263217579513271686400, 486580681852473600, 6995503234448949390400566967773850041690, 1520938687092262349047957898704128902496, 304187479491946398059210944639569183360], 'label': '787500000.b.210._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051842
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1294848838399804047360000, 1520938687092262349047957898704128902400, 816480, 26584455357772927877113673835657733229, 348713573760, 9157942499263217579513271686400, 486580681852473600, 6995503234448949390400566967773850041600, 304187479491946398059210944639569183360], 'label': '787500000.b.210._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051843
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [409050, 304187479491946398059210944639569183360, 486580681852473600, 1520938687092262349047957898704128902496, 348713573760, 2481793606932957757440096, 26584455357772927877113673835657733229, 9157942499263217579513271686400, 6995503234448949390400566967773850041690], 'label': '787500000.b.210._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051844
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [26584455357772927877113673835657733229, 348713573760, 9157942499263217579513271686400, 486580681852473600, 2481793606932957757440096, 304187479491946398059210944639569183360, 6995503234448949390400566967773850041664, 1209690, 1520938687092262349047957898704128902433], 'label': '787500000.b.210._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051845
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [6995503234448949390400566967773850041633, 26584455357772927877113673835657733229, 1520938687092262349047957898704128902490, 348713573760, 9157942499263217579513271686400, 486580681852473600, 2481793606932957758256576, 1451610, 304187479491946398059210944639569183360], 'label': '787500000.b.210._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051846
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1520938687092262349047957898704128902400, 26584455357772927877113673835657733229, 348713573760, 9157942499263217579513271686400, 486580681852473600, 2481793606932957758256576, 6995503234448949390400566967773850041600, 304187479491946398059210944639569183360, 1209690], 'label': '787500000.b.210._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051847
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [304187479491947045534721086713302303393, 96, 9157943146738470914915206571616, 35367047974958936242258797995553, 348713573760, 26584438305803368521974190072969098183, 9157942499262960773190185981370, 816570, 6692113435676936117279611972796279481696, 5171174537951600843207246602612827563553], 'label': '787500000.b.2._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051848
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '35T260', 'count': 35, 'diagramx': None, 'generators': [1180931231525467020143375770456651384410, 1180931231525467020143375770456649932800, 348713573760, 647475638566251990710880, 2728454375240303817752474831584456578599, 599157156525491236465978375689022366886, 1816705979475267625899792622049308451815, 1180931231525467020142889189986517376000, 304187470334004546271888696110582662400], 'label': '787500000.b.35._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '35.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '35._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051849
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [409050, 304187479491946398059210944639569183360, 486580681852473600, 6995503234448949390400566967773850041633, 348713573760, 2481793606932957758891616, 26584455357772927877113673835657733229, 9157942499263217579513271686400, 1520938687092262349047957898704128902490], 'label': '787500000.b.210._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051850
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [2481793606932957758891616, 26584455357772927877113673835657733229, 348713573760, 9157942499263217579513271686400, 486580681852473600, 6995503234448949390400566967773850041690, 1520938687092262349047957898704128902496, 304187479491946398059210944639569183360, 1209690], 'label': '787500000.b.210._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051851
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [816570, 26584455357772927877113673835657733229, 2481793606932957757849056, 348713573760, 9157942499263217579513271686400, 486580681852473600, 304187479491946398059210944639569183360, 6995503234448949390400566967773850041664, 1520938687092262349047957898704128902433], 'label': '787500000.b.210._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051852
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [304187479491947045534592662628969759360, 1547523133292104975265099893746324422366, 35367047974958807818454680752513, 3346064853642601735892217626550168726456, 816570, 348713164833, 911748377415201035985297416345568825633, 295767292416069352680052544184051656909, 647475510142073733120096], 'label': '787500000.b.210._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051853
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [3953625705843896198920327019999735530233, 816570, 304187479491947045534721086713302303456, 1547523133292104975265099893746324422366, 35367047974958807818454680752513, 348713164833, 647475510142073733120096, 26584438305803368521974190072969098183, 304187479491947045534592662628969759360], 'label': '787500000.b.210._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051854
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1207515669831270388665349960529620482599, 3041877374183727719438995319274462154290, 816570, 1547523133292104975265099893746324422366, 35367047974958807818454680752513, 348713164833, 647475510142073733120096, 304187479491947045534592662628969759360, 1180931231525467020143375770456651384384], 'label': '787500000.b.210._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051855
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [304187479491947045534592662628969759360, 1547523133292104975265099893746324422366, 903328190339323343130628873816318179206, 35367047974958807818454680752513, 608358513305779152199371584840598115680, 3650235886226394886222901774350268852280, 816570, 348713164833, 647475510142073733120096], 'label': '787500000.b.210._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051856
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [304187479491947045534592662628969759360, 1547523133292104975265099893746324422366, 4222808561185007823596282255540900392984, 90, 35367047974958807818454680752513, 816570, 348713164833, 647475510142073733120096, 599157156525491236465978375689022366855], 'label': '787500000.b.210._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051857
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1547523133292104975265099893746324422366, 911748377415201035985297416345568825690, 486580401635328096, 35367047974958807818454680752513, 3650235886226394886222901774350268035800, 26584438305803368521974190072969098189, 816570, 348713164833, 647475510142073733120096], 'label': '787500000.b.210._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '210.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '210._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051858
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [2481793863739468612588896, 187769836800, 256806510853939233, 187768627290, 608358522430651104276494055501271104096, 26584438305803368521974190072969098183, 35367048622434574766571282841024, 45789799008939828727516058920920, 33, 4222808735186219059013459416493025917496], 'label': '787500000.b.240._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051859
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '35T260', 'count': 35, 'diagramx': None, 'generators': [1180931231525467020143375770456649932800, 348713573760, 647475638566251990710880, 2728454375240303817752474831584456578599, 295767292416069352680052544184051656999, 1180931231525467020143375770456651384320, 2728454312398544961629065243027816860839, 1180931231525467020142889189986517376000, 304187470334004546271888696110582662400], 'label': '787500000.b.35._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '35.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '35._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051860
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [2481793863739468612588896, 187769836800, 256806510853939233, 187768627290, 608358522430651104276494055501271104096, 35367048622434574766571282841024, 45789799008939828727516058920920, 33, 26584675181858899349806518469407686399, 4222808735186219059013459416493025917496], 'label': '787500000.b.240._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051861
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [4222808735186219059013459416493025917496, 256806510853939233, 45789799008939828727516058920920, 608358522430651104276494055501271104096, 2481793863739468612588896, 35367048622434574766571282841024, 264316006006412821382732038773753, 187769836800, 187768627290, 33], 'label': '787500000.b.240._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051862
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [816570, 187769836800, 1180931231525464538349768837498893944320, 256806323086521600, 90, 13597035013151141604221400, 26584438305803368521974190072969098183, 6692113399045082844993587946830538846784, 1294848838399804047360090, 599157248105083103809984427127144825509, 27439951015054504251458445312000], 'label': '787500000.b.252._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '252.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051863
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [8785624666986852541686324071683339574944, 6995503125817405658202207385810692961144, 90, 187769836800, 6083754867421731749016916005228379384353, 26584438305803368521974190072969098183, 816570, 1294848838399804047360090, 1180931231525464538349768837498893944320, 27439951015054504251458445312000, 256806323086521600], 'label': '787500000.b.252._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '252.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051864
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [6995503125817395301980644707543204579744, 816570, 187769836800, 1180931231525464538349768837498893944320, 8785624666986852541686324071683339574944, 256806323086521600, 90, 6083754867421731749016916005228379384353, 26584438305803368521974190072969098183, 1294848838399804047360090, 27439951015054504251458445312000], 'label': '787500000.b.252._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '252.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051865
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [816570, 187769836800, 1180931231525464538349768837498893944320, 8785624666986852541686324071683339574944, 256806323086521600, 90, 6083754867421731749016916005228379384353, 26584438305818799875084132098597639583, 1294848838399804047360090, 6995503125817405658202207385810692961144, 27439951015054504251458445312000], 'label': '787500000.b.252._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '252.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051866
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [6995503125817395301980644707543204579744, 816570, 187769836800, 1180931231525464538349768837498893944320, 8785624666986852541686324071683339574944, 256806323086521600, 90, 6083754867421731749016916005228379384353, 26584438305818799875084132098597639583, 1294848838399804047360090, 27439951015054504251458445312000], 'label': '787500000.b.252._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '252.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051867
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [8785624666986852541686324071683339574944, 6083754867421738223796988573007511544320, 90, 187769836800, 6682911923209695309678357613666353507206, 816570, 1294848838399804047360090, 1180931231525464538349768837498893944320, 27439951015054504251458445312000, 13597035013151141604221400, 256806323086521600], 'label': '787500000.b.252._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '252.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051868
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [6995503125817395301980644707543204579744, 816570, 187769836800, 1180931231525464538349768837498893944320, 8785624666986852541686324071683339574944, 256806323086521600, 90, 13597035013151141604221400, 6083754867421738223796988573007511544320, 1294848838399804047360090, 27439951015054504251458445312000], 'label': '787500000.b.252._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '252.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '252._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051869
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [187768627200, 608358494990699441746992186536264889664, 128424084332544096, 5743747275751165517953402517447346173464, 1412678754259350360, 9157943794111799172833287987200, 816570, 33, 647475510142422446284800, 146527314595259919873680518790400, 8213051930452085506182779763688131481024], 'label': '787500000.b.280._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '280.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051870
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '35T260', 'count': 35, 'diagramx': None, 'generators': [1547523124167225901035605132125139586566, 1207515669831270388665349960529620482509, 1180931231525467020143375770456649932800, 348713573760, 647475638566251990710880, 2728454375240303817752474831584456578599, 1180931231525467020142889189986517376000, 304187470334004546271888696110582662400, 1180931231525467020143375770456651384384], 'label': '787500000.b.35._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '35.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '35._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051871
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [1294848838399804047360000, 5474564640167112793344863476868654891616, 1541061182433433056, 90, 486580401635736960, 7264685953685484072889459984586623997433, 93924230496, 27439951015054631587557705131520, 126946631317080334911649917360480, 816570, 911748349975248082029410412483113164890], 'label': '787500000.b.280._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '280.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051872
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [647475510142422446284800, 816570, 1412678754259350360, 9157943794111799172833287987200, 128424084332544096, 33, 903328164130217867436194506702577162189, 903328164130223050789879672913467169279, 187768627200, 608358494990699441746992186536264889664, 146527314595259919873680518790400], 'label': '787500000.b.280._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '280.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051873
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [187768627200, 128424084332544096, 608358494990699441746992186536264889664, 1412678754259350360, 3497016, 8956573679500830813830400, 9157943794111799172833287987200, 816570, 33, 647475510142422446284800, 146527314595259919873680518790400], 'label': '787500000.b.280._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '280.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051874
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [8956573679500830817327416, 187768627200, 128424084332544096, 608358494990699441746992186536264889664, 1412678754259350360, 903328164130217867436194506702579207679, 9157943794111799172833287987200, 816570, 33, 647475510142422446284800, 146527314595259919873680518790400], 'label': '787500000.b.280._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '280.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051875
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [1294848838399804047360000, 816570, 126946631317080334911649917360480, 5474564640167112793344863477807935528953, 486580401635736960, 90, 93924230496, 911748349975248082029410412483113164890, 7264685953685484072889459984586623997433, 1541061182433433056, 27439951015054631587557705131520], 'label': '787500000.b.280._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '280.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051876
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [1294848838399804047360000, 1541061182433433056, 90, 486580401635736960, 5466144434809226581378252740067850188709, 7264685953685484072889459984586623997433, 93924230496, 27439951015054631587557705131520, 126946631317080334911649917360480, 816570, 911748349975248082029410412483113164890], 'label': '787500000.b.280._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '280.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051877
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [1294848838399804047360000, 816570, 126946631317080334911649917360480, 5466144434809226581378252739316338178509, 486580401635736960, 90, 93924230496, 911748349975248082029410412483113164890, 7264685953685484072889459984586623997433, 1541061182433433056, 27439951015054631587557705131520], 'label': '787500000.b.280._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '280.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051878
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 140, 'diagramx': None, 'generators': [1294848838399804047360000, 816570, 126946631317080334911649917360480, 5474564640167112793344863477807935528953, 486580401635736960, 90, 93924230496, 911748349975248082029410412483113164890, 26584464514908844219592071015657544999, 7264685953685484072889459984586623997433, 27439951015054631587557705131520], 'label': '787500000.b.280._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '280.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051879
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 140, 'diagramx': None, 'generators': [903328164130217867436194506702579207679, 647475510142422446284800, 816570, 1412678754259350360, 9157943794111799172833287987200, 128424084332544096, 33, 3497016, 187768627200, 608358494990699441746992186536264889664, 146527314595259919873680518790400], 'label': '787500000.b.280._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '280.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051880
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 140, 'diagramx': None, 'generators': [1294848838399804047360000, 816570, 126946631317080334911649917360480, 5474564640167112793344863477807935528953, 486580401635736960, 90, 26584464514908844218051009833224278983, 93924230496, 911748349975248082029410412483113164890, 7264685953685484072889459984586623997433, 27439951015054631587557705131520], 'label': '787500000.b.280._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '280.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051881
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [2424266877431591519585844827290546386023, 1180931231525467020143375770456649932800, 2728454375240303817752474831584456578599, 304187470334004546271888696110582662400, 1180931231525467020142889189986517376000, 348713573760, 1180931231525467020143375770456651384416, 903328190339323343130628873816318179175, 647475638566251990710880], 'label': '787500000.b.35._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '35.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '35._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051882
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 140, 'diagramx': None, 'generators': [187768627200, 128424084332544096, 608358494990699441746992186536264889664, 1412678754259350360, 903328164130217867436194506702577162189, 8956573679500830813830400, 9157943794111799172833287987200, 816570, 33, 647475510142422446284800, 146527314595259919873680518790400], 'label': '787500000.b.280._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '280.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '280._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051883
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': '300.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 30, 'diagramx': None, 'generators': [2481794093513708106341824, 4222808552027062086943734686093995565880, 1180931223598370060238457240751531435616, 128424272102380896, 18315080897397761847958938211713, 1451553, 911748385342299294378420032408043381753, 280215936064], 'label': '787500000.b.300.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '300.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '300.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051884
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': '315.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 315, 'diagramx': None, 'generators': [1938901512222696333312000, 4589400517898557394793099601225470210599, 93925681920, 9157942499262960772841472816544, 90, 256806603301248000, 816570, 2454393, 3041877401658427162237594909813560268800, 6387942227861074645684822513451365324800, 304187470334006380589857105010643148800, 770551138292544096], 'label': '787500000.b.315.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '315.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '315.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051885
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [35367048622434317960248198571553, 128424084332544096, 1180931196158418502291858279031661995610, 1520938742039192742089325605032003609024, 1180931223598380528004224892777312311000, 1294848838399804047769024, 1209664], 'label': '787500000.b.350._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051886
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [93924230496, 2454456, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 486580401636144576, 8413681327984340148787200, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051887
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1284254389710870456, 1451553, 9125632113395704619372073639215813117400, 911748349975248082029667218457485312000, 93924230400, 4867003549926752853358691670175804841016, 2454456, 486580401636144576, 73229750023992947465289745536000, 647475510142422446284800, 18315080897397275267718246604800, 6474780072567966900787200], 'label': '787500000.b.350._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051888
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [93924230433, 2454456, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 486580401636144576, 8413681327984340148787200, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051889
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [2454456, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 93924230464, 9125632113395704619372073639215813117400, 486580401636144576, 8413681327984340148787200, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051890
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1284254389710870456, 1451553, 9125632113395704619372073639215813117400, 911748349975248082029667218457485312000, 4867003549926752853358691670175804841016, 93924230490, 2454456, 486580401636144576, 8413681327984340148787200, 73229750023992947465289745536000, 647475510142422446284800, 18315080897397275267718246604800], 'label': '787500000.b.350._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051891
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [2454456, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 33, 486580401636144576, 8413681327984340148787200, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051892
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [2728454375240303817752474831584456578599, 35367047974958936242258797995553, 348713573760, 409056, 128424433046117856, 26584438305803368521974190072969098279, 1180931231525467020143375770456651384353, 1547523124167225901035605132125139586509, 647475638566251990710880], 'label': '787500000.b.35._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '35.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '35._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051893
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1284254389710870456, 1451553, 26584601884282238703882267308364190829, 9125632113395704619372073639215813117400, 911748349975248082029667218457485312000, 4867003549926752853358691670175804841016, 486580401636144576, 8413681327984340148787200, 73229750023992947465289745536000, 93924230433, 647475510142422446284800, 18315080897397275267718246604800], 'label': '787500000.b.350._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051894
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [93924230433, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 8413681327984340151241656, 9125632113395704619372073639215813117400, 486580401636144576, 26584601884282238703882267308365601246, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051895
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 8413681327984340151241656, 93924230464, 9125632113395704619372073639215813117400, 486580401636144576, 26584601884282238703882267308365601246, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051896
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [93924230490, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 8413681327984340151241656, 9125632113395704619372073639215813117400, 486580401636144576, 26584601884282238703882267308365601246, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051897
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [93924230496, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 8413681327984340151241656, 9125632113395704619372073639215813117400, 486580401636144576, 26584601884282238703882267308365601246, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051898
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 33, 486580401636144576, 26584601884282238703882267308365601246, 8413681327984340148787200, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051899
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1284254389710870456, 26584601884282238703882267308365601246, 1451553, 9125632113395704619372073639215813117400, 911748349975248082029667218457485312000, 93924230400, 4867003549926752853358691670175804841016, 486580401636144576, 73229750023992947465289745536000, 647475510142422446284800, 18315080897397275267718246604800, 6474780072567966900787200], 'label': '787500000.b.350._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051900
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [93924230433, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 486580401636144576, 26584601884282238703882267308365601246, 8413681327984340148787200, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051901
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 93924230464, 9125632113395704619372073639215813117400, 486580401636144576, 26584601884282238703882267308365601246, 8413681327984340148787200, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051902
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1284254389710870456, 26584601884282238703882267308365601246, 1451553, 9125632113395704619372073639215813117400, 911748349975248082029667218457485312000, 4867003549926752853358691670175804841016, 93924230490, 486580401636144576, 8413681327984340148787200, 73229750023992947465289745536000, 647475510142422446284800, 18315080897397275267718246604800], 'label': '787500000.b.350._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051903
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [1180931231525467020143375770388154155610, 1451553, 35367047974958807818454680345024, 384142610113123770, 90, 26584438305803368521974190072969098183, 348713164896, 1287993802290, 2432687055349528659038672546338927286944, 5770331740266076843965628359960081334375, 2481793735357136014214433], 'label': '787500000.b.42._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051904
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [93924230496, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 486580401636144576, 26584601884282238703882267308365601246, 8413681327984340148787200, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051905
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [26584601884280188258935580146371278046, 26584583602273722912595595014476190829, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 33, 486580401636144576, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051906
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1284254389710870456, 26584601884280188258935580146371278046, 1451553, 26584601884282238703882267308364190829, 9125632113395704619372073639215813117400, 911748349975248082029667218457485312000, 93924230400, 4867003549926752853358691670175804841016, 486580401636144576, 73229750023992947465289745536000, 647475510142422446284800, 18315080897397275267718246604800], 'label': '787500000.b.350._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051907
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [26584601884280188258935580146371278046, 93924230433, 26584583602273722912595595014476190829, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 486580401636144576, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051908
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [26584601884280188258935580146371278046, 26584583602273722912595595014476190829, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 93924230464, 9125632113395704619372073639215813117400, 486580401636144576, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051909
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1284254389710870456, 26584601884280188258935580146371278046, 1451553, 9125632113395704619372073639215813117400, 911748349975248082029667218457485312000, 26584583602273722912595595014476190829, 4867003549926752853358691670175804841016, 93924230490, 486580401636144576, 73229750023992947465289745536000, 647475510142422446284800, 18315080897397275267718246604800], 'label': '787500000.b.350._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051910
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [26584601884280188258935580146371278046, 93924230496, 26584583602273722912595595014476190829, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 486580401636144576, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051911
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1284254389710870456, 1451553, 26584601884282238703882267308364190829, 9125632113395704619372073639215813117400, 911748349975248082029667218457485312000, 4867003549926752853358691670175804841016, 486580401636144576, 8413681327984340148787200, 73229750023992947465289745536000, 33, 647475510142422446284800, 18315080897397275267718246604800], 'label': '787500000.b.350._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051912
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1284254389710870456, 1451553, 26584601884282238703882267308364190829, 9125632113395704619372073639215813117400, 911748349975248082029667218457485312000, 93924230400, 4867003549926752853358691670175804841016, 486580401636144576, 73229750023992947465289745536000, 647475510142422446284800, 18315080897397275267718246604800, 6474780072567966900787200], 'label': '787500000.b.350._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051913
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [2454456, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 33, 486580401636144576, 26584601884282238703882267308365601246, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051914
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [1180931231525467020143375770388154155610, 1451553, 35367047974958807818454680345024, 2129297191240098894080042037635907379296, 384142610113123770, 8785624732357323933329261783878280112480, 90, 26584438305803368521974190072969098183, 348713164896, 2481793735357136014214433], 'label': '787500000.b.42._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051915
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1284254389710870456, 1451553, 26584601884282238703882267308364190829, 93924230464, 9125632113395704619372073639215813117400, 911748349975248082029667218457485312000, 4867003549926752853358691670175804841016, 486580401636144576, 8413681327984340148787200, 73229750023992947465289745536000, 647475510142422446284800, 18315080897397275267718246604800], 'label': '787500000.b.350._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051916
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1284254389710870456, 1451553, 26584601884282238703882267308364190829, 9125632113395704619372073639215813117400, 911748349975248082029667218457485312000, 4867003549926752853358691670175804841016, 93924230490, 486580401636144576, 8413681327984340148787200, 73229750023992947465289745536000, 647475510142422446284800, 18315080897397275267718246604800], 'label': '787500000.b.350._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051917
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1284254389710870456, 1451553, 26584601884282238703882267308364190829, 9125632113395704619372073639215813117400, 911748349975248082029667218457485312000, 4867003549926752853358691670175804841016, 93924230496, 486580401636144576, 8413681327984340148787200, 73229750023992947465289745536000, 647475510142422446284800, 18315080897397275267718246604800], 'label': '787500000.b.350._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051918
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [26584601884280188258935580146371278046, 2454456, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 33, 486580401636144576, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051919
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [26584601884280188258935580146371278046, 2454456, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 486580401636144576, 93924230400, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051920
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [26584601884280188258935580146371278046, 93924230433, 2454456, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 486580401636144576, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051921
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [26584601884280188258935580146371278046, 2454456, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 93924230464, 9125632113395704619372073639215813117400, 486580401636144576, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051922
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [26584601884280188258935580146371278046, 93924230490, 2454456, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 486580401636144576, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051923
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [26584601884280188258935580146371278046, 93924230496, 2454456, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 486580401636144576, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051924
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [2454456, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 486580401636144576, 26584601884282238703882267308365601246, 93924230400, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051925
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [2129297191240098894080042038736132554200, 384142610113123770, 90, 2481793735357136014214433, 1180931231525467020143375770388154155610, 26584438305803368521974190072969098183, 1451553, 35367047974958807818454680345024, 8785624732357323933329261784535688035713, 348713164896], 'label': '787500000.b.42._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051926
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [93924230433, 2454456, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 486580401636144576, 26584601884282238703882267308365601246, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051927
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [2454456, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 93924230464, 9125632113395704619372073639215813117400, 486580401636144576, 26584601884282238703882267308365601246, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051928
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [93924230490, 2454456, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 486580401636144576, 26584601884282238703882267308365601246, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051929
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [93924230496, 2454456, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 486580401636144576, 26584601884282238703882267308365601246, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051930
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 8413681327984340151241656, 9125632113395704619372073639215813117400, 33, 486580401636144576, 26584601884282238703882267308365601246, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051931
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1451553, 3041877548185746293376203511312274733944, 304187479491947692908177726588446123520, 1207515669831270388665349960529620482599, 608358513305779152199498920752088491584, 1547523116240125703740045285036633193639, 304187479491947045534721086619378072960, 27439951015054504251458445721056], 'label': '787500000.b.350._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051932
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [35367048622434317960248198571553, 295767301540954358797680709504153372223, 128424084332544096, 1180931196158418502291858279031661995610, 1520938742039192742089325605032003609024, 1294848838399804047769024, 1209664], 'label': '787500000.b.350._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051933
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [6474780072567966903241656, 73229750023992947465289745536000, 911748349975248082029667218457485312000, 1451553, 9125632113395704619372073639215813117400, 486580401636144576, 26584601884282238703882267308365601246, 93924230400, 4867003549926752853358691670175804841016, 18315080897397275267718246604800, 647475510142422446284800, 1284254389710870456], 'label': '787500000.b.350._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051934
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [128424084333360544, 3237390201801091402109400, 18315079063079435282808594432000, 93927092313, 256806417010993984, 81156841264713671981805626160570, 7908880986952232522793877750731321640920, 647475996722475368448000, 409056, 1520938705374279929636859973983056381400, 26584438305805202840429137623012863966, 608358494990699441746608044113920816513], 'label': '787500000.b.350._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051935
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [128424084333360544, 18315079063079435282808594432000, 384142516268319450, 348716026713, 81156841264713671981805626160570, 7908880986952232522793877750731321640920, 647475996722475368448000, 409056, 1520938705374279929636859973983056381400, 3237390201800998954800600, 26584438305805202840429137623012863966, 608358494990699441746608044113920816513], 'label': '787500000.b.350._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051936
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [1180931231525467020143375770388154155610, 1451553, 35367047974958807818454680345024, 384142610113123770, 90, 348713164896, 2424266868273640606640785519911391188383, 1287993802290, 7900460846896983943561185724654731747239, 2481793735357136014214433], 'label': '787500000.b.42._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051937
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [128424084333360544, 280218797913, 486580495560768096, 18315079063079435282808594432000, 81156841264713671981805626160570, 7908880986952232522793877750731321640920, 647475996722475368448000, 3237390201801159899338200, 409056, 1520938705374279929636859973983056381400, 26584438305805202840429137623012863966, 608358494990699441746608044113920816513], 'label': '787500000.b.350._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051938
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [256806323086763610, 18315079063079435282808594432000, 1520938705374280577010546388030674615000, 93924230400, 128424084335799090, 81156841264713671981805626160570, 7908880986952232522793877750731321640920, 647475996722475368448000, 409056, 4532239040200615234349976, 26584438305805202840429137623012863966, 608358494990699441746608044113920816513], 'label': '787500000.b.350._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051939
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [128424084333360513, 647475996722475368448000, 2861913, 7908880986952232522793877750731321640920, 3237390201800811186173400, 81156841264713671981805626160570, 409056, 33, 608358494990699441746608044113920816513, 18315079063079435282808594432000, 1520938705374279929636859973983056381400, 26584438305805202840429137623012863966], 'label': '787500000.b.350._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051964
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 608358513305779796251788601502246064513, 2129297191240103534541761008207931358816, 409056, 5743747448487592606579951111150611169170, 2481793606933051681670400], 'label': '787500000.b.420._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051940
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [128424084333360544, 18315079063079435282808594432000, 93924230400, 5719183808733768945065010, 81156841264713671981805626160570, 7908880986952232522793877750731321640920, 647475996722475368448000, 384142422345725464, 409056, 1520938705374279929636859973983056381400, 26584438305805202840429137623012863966, 608358494990699441746608044113920816513], 'label': '787500000.b.350._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051941
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [128424084333360544, 187771489113, 18315079063079435282808594432000, 3237390201800905110403800, 81156841264713671981805626160570, 7908880986952232522793877750731321640920, 647475996722475368448000, 409056, 1520938705374279929636859973983056381400, 26584438305805202840429137623012863966, 128424178257590913, 608358494990699441746608044113920816513], 'label': '787500000.b.350._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '350.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '350._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051942
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': '360.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [238106902473259621991788116136920, 1938901383840806294918496, 1451553, 27439953496847854378093117440090, 486580495559967456, 911748385342296704463728372731310284890, 7604693499566262946084004191951778353984, 26584438305803368521974190072969098183, 256806323086763616, 33], 'label': '787500000.b.360.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '360.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '360.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051943
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [911748377415200391932880399683920876890, 27439952309903085845219624747610, 486580589403955233, 2432687055349524126799760768868748934490, 5743747448487592606579951111150611562290, 409056, 348713164800, 2481793606933051681670400], 'label': '787500000.b.420._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051944
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [27439952309903085845127177438810, 486580401635328033, 295767383995655389298456761014411004103, 911748377415200391932880399683920876890, 1825126166583400869336076144095561725464, 2481793606933306470604800, 96, 409056, 26584438305812325095653691158571862983], 'label': '787500000.b.420._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051945
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [1520938687092261701674629640879893928953, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 1180931323105048527946319492391655345920, 409056, 304187479491952872839283512324777112993, 2481793606933051681670400, 304187479491948879852817877852115557760], 'label': '787500000.b.420._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051946
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 911748468994783734053920912757738092896, 2129297200364971493530850922530491158450, 608358513305779796251788601502246064513, 409056, 304187479491952872839283512324777112993, 2481793606933051681670400], 'label': '787500000.b.420._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051947
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [2129297191240098894080042038736132554200, 384142610113123770, 90, 2481793735357136014214433, 1180931231525467020143375770388154155610, 1451553, 35367047974958807818454680345024, 8785624732357323933329261784535688035713, 1287993802290, 348713164896], 'label': '787500000.b.42._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051948
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 911748377415200391932880399683920876864, 608358604885363138372829114576063280570, 409056, 304187479491952872839283512324777112993, 2481793606933051681670400, 2701869874092736413175343182197987389400], 'label': '787500000.b.420._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051949
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [1825126166583400869336076144444274890264, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 304187571071532221973858390925932773824, 1180931231525465185825278979317838130010, 409056, 304187479491952872839283512324777112993, 2481793606933051681670400], 'label': '787500000.b.420._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051950
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [91579583342121040513073817216033, 911748377415200391932880399776368185690, 2432687063276616550825375566511483489176, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 96, 409056, 304187479491952872839283512324777112993, 2481793606933051681670400], 'label': '787500000.b.420._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051951
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [7122255582709946789510400, 911748377415200391932880399683920876890, 27439952309903085845219624747610, 486580589403955233, 1180931323105048527946319492391655346016, 1825126166583400869336076144444275706744, 409056, 348713164800, 2481793606933051681670400], 'label': '787500000.b.420._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051952
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [27439952309903085845127177438810, 486580401635328033, 911748377415200391932880399683920876890, 2481793606933306470604800, 96, 4858583509378196230543115458264410464575, 2120095834459817561031048069424655190983, 409056], 'label': '787500000.b.420._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051953
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [2481793606933051681670400, 2701869909459783093285440982807153951393, 27439952309903085845219624747610, 1180931231525465185825278979317838130010, 409056, 911748377415200391932880399776368185690, 5171174730267901501246819635494037629433, 304187479491948879852689453512994079424], 'label': '787500000.b.420._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051954
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [4867003696454070686007940356113488303320, 2481793606933051681670400, 27439952309903085845219624747610, 911748377415200391932880399683920876864, 1825126157426266891896726437226509702490, 409056, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424], 'label': '787500000.b.420._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051955
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [911748377415200391932880399776368185690, 2432687055349518299495198343257194291200, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 608358513305779796251788601502246064513, 409056, 2481793606933051681670400, 4562816216962124830841082016231271530296], 'label': '787500000.b.420._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051956
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 409056, 2481793606933051681670400, 5743747448487586887396628957875752237970, 1520938677934321036729892995021701936544, 304187479491948879852817877852115557760], 'label': '787500000.b.420._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051957
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [5474564594377322093606386276454865635224, 2481793606933051681670400, 2129297191240097707135016698251560747616, 27439952309903085845219624747610, 96, 409056, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424], 'label': '787500000.b.420._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051958
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [304187479491947045534721086713302303393, 96, 9157943146738470914915206571616, 35367047974958936242258797995553, 7291270583077547092569041430124612434023, 348713573760, 2120095825334937191951071410622332747655, 9157942499262960773190185981370, 816570], 'label': '787500000.b.2._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051959
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [26584438305803368521974191080746964415, 384142610113123770, 90, 2481793735357136014214433, 1180931231525467020143375770388154155610, 1451553, 35367047974958807818454680345024, 2129297191240098894080042037635907379296, 8785624732357323933329261783878280112480, 348713164896], 'label': '787500000.b.42._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051960
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [27439952309903085845127177438810, 486580401635328033, 911748377415200391932880399683920876890, 2481793606933306470604800, 96, 5743747448487586887396628957595536301970, 2432687055349518299495198343163349894400, 409056], 'label': '787500000.b.420._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051961
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [911748377415200391932880399683920876890, 2481793606933051681670400, 27439952309903085845219624747610, 2432687055349518299495198343257194291290, 348713164800, 486580589403955233, 409056, 5743747448487586887396628957875752631090], 'label': '787500000.b.420._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051962
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [2481793606933051681670400, 27439952309903085845219624747610, 1180931231525465185825278979317838130010, 409056, 911748377415200391932880399776368185690, 4867003696454073279345238559859912232920, 2432687055349524126799760768868748934400, 304187479491948879852689453512994079424], 'label': '787500000.b.420._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051963
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [1520938677934326968617614046565037821344, 4562816216962127525338445719962466493496, 2481793606933051681670400, 27439952309903085845219624747610, 911748377415200391932880399683920876864, 409056, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424], 'label': '787500000.b.420._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051965
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 5474564594377324683520591354722184086424, 409056, 2481793606933051681670400, 2701869909459792049859120483450119320993, 304187479491948879852817877852115557760], 'label': '787500000.b.420._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051966
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [2481793606933051681670400, 27439952309903085845219624747610, 5171174730267904091263206598521985354233, 96, 1825126157426272722624381988367943993690, 409056, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424], 'label': '787500000.b.420._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051967
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 26584464514908844218179391791762153606, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051968
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 563563526433, 816570, 33, 11651071171628740185734400, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051969
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 26584464514908844220105773141507175006, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051970
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [26584438305803368521974191080746964415, 2129297191240098894080042038736132554200, 384142610113123770, 90, 2481793735357136014214433, 1180931231525467020143375770388154155610, 1451553, 35367047974958807818454680345024, 8785624732357323933329261784535688035713, 348713164896], 'label': '787500000.b.42._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051971
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1938901255416373248816480, 1926381349745021400, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051972
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 26584464514917800791730510221401349319, 816570, 33, 11651071171628740185734400, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051973
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 26584464514917800791730510759537239046, 816570, 33, 11651071171628740185734400, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051974
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [187769836800, 35367049913860063234827927936000, 1938901255416561016627200, 3953625733283841926139682784021740024410, 911748368290328436534820743669773944320, 7908880969900260370101724033864938806944, 64, 256806417010358880], 'label': '787500000.b.420._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051975
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [5743747448487586887396628957875752237970, 911748359133193063086362260355973936513, 608358513305779796251660218983277360570, 1825126157426266891896726437226509702490, 409056, 911748377415200391932880399496152249690, 608358513305779796251788601502246064513, 2481793606932957757440000], 'label': '787500000.b.420._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051976
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [911748359133193063086362260355973936513, 608358513305779796251660218983277360570, 96, 1520938677934321036729892995021701936544, 409056, 5171174730267901501246819635494037629433, 911748377415200391932880399496152249690, 2481793606932957757440000], 'label': '787500000.b.420._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051977
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [27439952309903085845127177438810, 2432687055349518299495198343418138828800, 486580401635328033, 911748377415200391932880399683920876890, 5743747448487586887396628957689460532370, 2481793606933306470604800, 93924230496, 409056], 'label': '787500000.b.420._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051978
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [27439952309903085845127177438810, 486580401635328033, 911748377415200391932880399683920876890, 2481793606933306470604800, 2432687055349518299495198343069425664000, 280215936096, 409056, 5743747448487586887396628957875752237970], 'label': '787500000.b.420._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051979
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [4867003696454070686007940356113488303320, 2701869909459783093285440982807153951393, 1180931231525465185825176541524838187520, 911748377415200391932880399590076480090, 409056, 1180931214473496917895884770109453702464, 304187479491948879852817877852115557760, 2481793606933145526067200], 'label': '787500000.b.420._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051980
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [1180931231525465185825176541524838187520, 1180931214473496917895884770109453702464, 5171174730267901501246819635494037629433, 2129297191240097707135016698251560747616, 608358513305779796251788601502246064513, 409056, 2481793606933145526067200, 911748377415200391932880399590076480090], 'label': '787500000.b.420._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051981
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [486580401635328096, 1294848838399897972800096, 348713573760, 26584438305803368521974190072969098183, 35367049913860063234896425573850, 1180931231525467020143375770456651384416, 409056, 3953625705843900080361972677677069925793, 33, 8516441849541503909282311711823497392544], 'label': '787500000.b.42._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051982
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [5474564594377322093606386276454865635224, 1180931231525465185825176541524838187520, 911748377415200391932880399590076480090, 911748377415200391932880399683920876864, 1520938677934321036729892995021701936544, 409056, 1180931214473496917895884770109453702464, 2481793606933145526067200], 'label': '787500000.b.420._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051983
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [2432687055349518299495198343257194291200, 5743747448487586887396628957875752237970, 1180931231525465185825176541524838187520, 911748377415200391932880399590076480090, 1180931231525465185825278979317838130010, 409056, 1180931214473496917895884770109453702464, 2481793606933145526067200], 'label': '787500000.b.420._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051984
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [4562816216962124830841082016231271530296, 1180931231525465185825176541524838187520, 911748377415200391932880399590076480090, 96, 1825126157426266891896726437226509702490, 409056, 1180931214473496917895884770109453702464, 2481793606933145526067200], 'label': '787500000.b.420._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051985
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [4562816216962124830841082016231271530296, 911748359133193063086362260355973936513, 2701869909459783093285440982807153951393, 608358513305779796251660218983277360570, 911748377415200391932880399683920876864, 409056, 911748377415200391932880399496152249690, 2481793606932957757440000], 'label': '787500000.b.420._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051986
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [2432687055349518299495198343257194291200, 5474564594377322093606386276454865635224, 911748359133193063086362260355973936513, 608358513305779796251660218983277360570, 409056, 911748377415200391932880399496152249690, 304187479491948879852817877852115557760, 2481793606932957757440000], 'label': '787500000.b.420._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051987
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [4867003696454070686007940356113488303320, 911748359133193063086362260355973936513, 2129297191240097707135016698251560747616, 608358513305779796251660218983277360570, 1180931231525465185825278979317838130010, 409056, 911748377415200391932880399496152249690, 2481793606932957757440000], 'label': '787500000.b.420._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051988
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [1451553, 911748377415201035985297416345568825664, 1938901255416561017036256, 35367049913860063234827928345056, 5474564585252444853695757769178139312513, 256806417010358880, 187769836800, 8213051994556955913052210330359018806976], 'label': '787500000.b.420._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051989
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [2129297356084180687936685553664033584480, 35367047974958807818268388230400, 8213051994556955913052210330359018806880, 256806417010358880, 911748368290327145109075469115470129920, 1294848838400084263296000, 187769836800, 408960], 'label': '787500000.b.420._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051990
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [35367047974958807818268388230400, 256806417010358880, 6387942182071280600333336359801405772193, 911748368290327145109075469115470129920, 2481793606933051681670400, 187769836800, 816576, 8213051994556955913052210330359018806944], 'label': '787500000.b.420._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051991
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [8213051994556955913052210330359018806913, 35367047974958807818268388230400, 1209690, 256806417010358880, 911748368290327145109075469115470129920, 187769836800, 647475510142422446284800, 4222808689396433542526972077717755005376], 'label': '787500000.b.420._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051992
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': '60.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 30, 'diagramx': None, 'generators': [647475996722824082822433, 10037380472528900919847611431094517565464, 816570, 109894661757723553018213422620850, 384142610113123713, 96, 348713164833, 18315078415603925140828786993984, 608358513305779152199371584840598115744], 'label': '787500000.b.60.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '60.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051993
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [1451584, 35367047974958807818268388230400, 187769836800, 1938901255416561016627200, 911748368290327145109075469115470129920, 8213051994556955913052210330359018806970, 256806417010358880, 1520938796953858631294356484753609270944], 'label': '787500000.b.420._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051994
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 126946639730761433121817672963800, 8516441785436643103037977378404506872320, 816570, 33, 26584693463871300006163006688176086989, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051995
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [7122255582709946789510400, 27439952309903085845127177438810, 486580401635328033, 911748377415200391932880399683920876890, 1825126166583400869336076144095561725464, 2481793606933306470604800, 96, 1180931323105048527946319492391655345920, 409056], 'label': '787500000.b.420._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051996
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1825126166583400869336076144444274890264, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 599157156525491883839306633513181003655, 1180931231525465185825278979317838130010, 409056, 295767383995654633702348473911332808903, 2481793606933051681670400], 'label': '787500000.b.420._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051997
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [911748377415200391932880399776368185690, 2432687063276616550825375566511483489176, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 295767292416071291581307960837515592909, 96, 409056, 295767383995654633702348473911332808903, 2481793606933051681670400], 'label': '787500000.b.420._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051998
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439952309903085845127177438810, 486580401635328033, 1825126166583400869336076144095561725464, 911748377415200391932880399683920876890, 2481793606933306470604800, 96, 26584438305803368521974190072969098183, 409056, 295767383995654633702348473911332808903], 'label': '787500000.b.420._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20051999
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1825126166583400869336076144444275706744, 911748377415200391932880399683920876890, 2481793606933051681670400, 27439952309903085845219624747610, 26584438305803368521974190072969098279, 348713164800, 486580589403955233, 409056, 295767383995654633702348473911332808903], 'label': '787500000.b.420._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052000
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2481793606933051681670400, 27439952309903085845219624747610, 1520938687092261701674629640879893928953, 903328190339328526484956167109643753606, 409056, 911748377415200391932880399776368185690, 295767383995655389298456761014411004103, 304187479491948879852817877852115557760, 304187479491948879852689453512994079424], 'label': '787500000.b.420._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052001
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [295767383995655389298456761014411004103, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 2129297200364971493530850922530491158450, 608358513305779796251788601502246064513, 409056, 2481793606933051681670400, 599157156525497711246050943468154526855], 'label': '787500000.b.420._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052002
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2481793606933051681670400, 27439952309903085845219624747610, 295767292416077118885870386448990402509, 911748377415200391932880399683920876864, 409056, 911748377415200391932880399776368185690, 295767383995655389298456761014411004103, 2701869874092736413175343182197987389400, 304187479491948879852689453512994079424], 'label': '787500000.b.420._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052003
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [9157942499262960773190185981370, 9157944438164600331824833758810, 816570, 348713573760, 1825126249005850234016638242589943064960, 1180931231525467020143375770456651384416, 2481793606932957757440096, 35367048622434702103019257461753], 'label': '787500000.b.70._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052004
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2481793606933051681670400, 27439952309903085845219624747610, 26584438305812325095653691158571862983, 1180931231525465185825278979317838130010, 1825126166583400869336076144444274890264, 409056, 911748377415200391932880399776368185690, 295767383995655389298456761014411004103, 304187479491948879852689453512994079424], 'label': '787500000.b.420._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052005
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2481793606933051681670400, 1207515669831274381651815595002282037799, 27439952309903085845219624747610, 96, 2432687063276616550825375566511483489176, 409056, 911748377415200391932880399776368185690, 295767383995655389298456761014411004103, 304187479491948879852689453512994079424], 'label': '787500000.b.420._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052006
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [3041877401658429101138079775263368112480, 1938901255416373248816480, 128424084332544096, 2054805997641091800, 816570, 27439951015054734025536995328090, 33, 1180931196158419045184081371625762079360, 280216752480, 26584464514908844218179392447692747719, 119019534357176186891492299133400], 'label': '787500000.b.420._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052007
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [295767383995655389298456761014411004103, 911748377415200391932880399683920876890, 27439952309903085845219624747610, 486580589403955233, 1825126166583400869336076144444275706744, 409056, 348713164800, 2481793606933051681670400, 26584438305812325095653691158571863079], 'label': '787500000.b.420._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052008
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 1926381349745021400, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360, 6987082947866387615239770816524627970599], 'label': '787500000.b.420._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052009
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 6995503107502322713784620794369277181280, 128424084332544096, 8516441785436643103037977378404506872320, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360, 6987082947866387615239770816524627970599], 'label': '787500000.b.420._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052010
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 6995503107502322713784620794369277181280, 128424084332544096, 27439951015054734025536995328090, 8516441785436643103037977378404506872320, 26584464514917800791730510221401349319, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052011
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 1926381349745021400, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 26584464514917800791730510221401349319, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052012
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 6987082947866396035983941712114408842246, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 26584464514917800793271570464557826655, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052013
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 6987082947866396035983941712114408842246, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 6987082947866387615241311877237421698535, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052014
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [2432687146929102288989053369340045164864, 6387942354807705207167278302697205724216, 187769443713, 2481793606932957757440000, 9157942499263344915357741120064, 816570, 256806323085312090, 608358513305777857350533185128998457690], 'label': '787500000.b.70._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052015
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 2120095834459815079237441136466897750983, 27439952309903085845219624747610, 409056, 5466144407301449577042816794537955156479, 2481793606933051681670400, 304187479491948879852817877852115557760], 'label': '787500000.b.420._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052016
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [4589400655267930141904034377064903503429, 2481793606933051681670400, 27439952309903085845219624747610, 409056, 911748377415200391932880399776368185690, 608358513305779796251788601502246064513, 304187479491948879852689453512994079424, 2120095834459815079237441136466897750983], 'label': '787500000.b.420._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052017
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [5161973373487615635957913565628970828766, 2481793606933051681670400, 27439952309903085845219624747610, 911748377415200391932880399683920876864, 409056, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 2120095834459815079237441136466897750983], 'label': '787500000.b.420._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052018
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2481793606933051681670400, 27439952309903085845219624747610, 1180931231525465185825278979317838130010, 5770331886793395327626516508956295417503, 409056, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 2120095834459815079237441136466897750983], 'label': '787500000.b.420._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052019
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2481793606933051681670400, 27439952309903085845219624747610, 96, 409056, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 2120095834459815079237441136466897750983, 4858583509378194939117370183964895584575], 'label': '787500000.b.420._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052020
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 26584464514908844218179391791762153606, 6987082947866387615241311877237421698535, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052021
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [911748377415200391932880399683920876890, 2481793606933051681670400, 27439952309903085845219624747610, 4858583509378194939117370183964894542015, 348713164800, 486580589403955233, 409056, 2120095834459815079237441136466897750983], 'label': '787500000.b.420._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052022
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2120095834459811086250975501551598800583, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 5466144407301445692177591431986176007679, 409056, 2481793606933051681670400, 304187479491948879852817877852115557760], 'label': '787500000.b.420._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052023
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2120095834459811086250975501551598800583, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 608358513305779796251788601502246064513, 409056, 2481793606933051681670400, 4589400655267926260461902139992229833029], 'label': '787500000.b.420._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052024
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2481793606933051681670400, 27439952309903085845219624747610, 5161973373487614880361805278084732159966, 2120095834459811086250975501551598800583, 911748377415200391932880399683920876864, 409056, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424], 'label': '787500000.b.420._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052025
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [6692113344097350293365478272235842685400, 96, 1825126249005848295115382826216695064960, 1180931231525464538349768837150179328090, 816570, 256806323085312090, 348713164833, 9157942499263344915451585758720], 'label': '787500000.b.70._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052026
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2481793606933051681670400, 27439952309903085845219624747610, 2120095834459811086250975501551598800583, 5770331886793391442863473031165145542303, 1180931231525465185825278979317838130010, 409056, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424], 'label': '787500000.b.420._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052027
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2481793606933051681670400, 27439952309903085845219624747610, 96, 2120095834459811086250975501551598800583, 409056, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 4858583509378191158835303446876992947775], 'label': '787500000.b.420._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052028
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439952309903085845127177438810, 911748377415200391932880399683920876890, 4858583509378191158835303447064761574975, 96, 2120095834459811086250975501551598800583, 409056, 2481793606933306470604800, 486580401635328033], 'label': '787500000.b.420._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052029
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [2120095834459811086250975501551598800583, 911748377415200391932880399683920876890, 27439952309903085845219624747610, 486580589403955233, 409056, 348713164800, 2481793606933051681670400, 4858583509378191158835303446876991905215], 'label': '787500000.b.420._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052030
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 26584464514917800793271570464557826655, 26584464514908844218179391791762153606, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052031
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 6987082947866396035983941712114408842246, 1926381349745021400, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052032
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 6987082947866396035983941712114408842246, 280216752480, 6995503107502322713784620794369277181280, 128424084332544096, 27439951015054734025536995328090, 8516441785436643103037977378404506872320, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052033
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 128424084332544096, 6995503107502322713784620794369277181280, 27439951015054734025536995328090, 8516441785436643103037977378404506872320, 26584464514908844218179391791762153606, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052034
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 1926381349745021400, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 26584464514908844218179391791762153606, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052035
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 26584464514917800793271570464557826655, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360, 6995503107502313648987775943675102872993], 'label': '787500000.b.420._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052036
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [911748377415199097083914663941559928416, 816570, 4867003733085917595057583086309734959416, 486580750349944410, 9157942499263089196925805360513, 348713164833, 647475510142073733120096, 2129297282819680401882215250533069366913], 'label': '787500000.b.70._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052037
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 6987082947866387615241311877237421698535, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360, 6995503107502313648987775943675102872993], 'label': '787500000.b.420._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052038
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 8413681584790663235550753, 6987082947866387615241311877237421698535, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052039
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 26584464514917800793271570464557826655, 8413681584790663235550753, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052040
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 8516441785436643103037977377586154411553, 1926381349745021400, 280216752480, 3041877401658429101138079775263368112480, 128424084332544096, 27439951015054734025536995328090, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052041
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 8516441785436643103037977377586154411553, 280216752480, 3041877401658429101138079775263368112480, 128424084332544096, 27439951015054734025536995328090, 8516441785436643103038619505364541432320, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052042
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 3041877401658429101138079775263368112480, 128424084332544096, 27439951015054734025536995328090, 563563526433, 8516441785436643103038619505364541432320, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052043
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 1926381349745021400, 280216752480, 3041877401658429101138079775263368112480, 128424084332544096, 27439951015054734025536995328090, 563563526433, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052044
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 3041877401658429101138079775263368112480, 128424084332544096, 27439951015054734025536995328090, 563563526433, 8508021625800716529821099048290201621799, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052045
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 26584464514917800791730510221401349319, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052046
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 8516441785436643103037977377586154411553, 280216752480, 3041877401658429101138079775263368112480, 128424084332544096, 27439951015054734025536995328090, 8508021625800716529821099048290201621799, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052047
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [9125632314869947129301049412940206973464, 2701870001039368374307222121579735723610, 911748368290328979426685679691702067233, 9157942499262960773190185981370, 647475510142073733120064, 816570, 647475510142167657759360, 304187479491948336960466361012817183393], 'label': '787500000.b.70._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052048
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 8516441785436643103037977377586154411553, 280216752480, 3041877401658429101138079775263368112480, 128424084332544096, 27439951015054734025536995328090, 26584464514908844218179392447692747719, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052049
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [3041877401658429101138079775263368112480, 128424084332544096, 1938901255416373248816480, 816570, 27439951015054734025536995328090, 33, 563563526433, 1180931196158419045184081371625762079360, 280216752480, 26584464514908844218179392447692747719, 119019534357176186891492299133400], 'label': '787500000.b.420._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052050
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [3041877401658429101138079775263368112480, 8508021625800716529821099048290201621799, 1938901255416373248816480, 128424084332544096, 2054805997641091800, 816570, 27439951015054734025536995328090, 33, 1180931196158419045184081371625762079360, 280216752480, 119019534357176186891492299133400], 'label': '787500000.b.420._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052051
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 563563526433, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052052
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 816570, 33, 11651071171628740185734400, 26584464514917800793143147387998423015, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052053
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 8516441785436643103038747928630521515520, 280216752480, 3041877401658429101138079775263368112480, 128424084332544096, 27439951015054734025536995328090, 8508021625800716529821099048290201621799, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052054
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 26584464514917800793271570464557826655, 816570, 33, 11651071171628740185734400, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052055
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 26584464514917800793271570464557826655, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052056
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [27439952309903085845127177438810, 486580401635328033, 911748377415200391932880399683920876890, 2481793606933306470604800, 96, 5743747448487590772261854320266586849170, 2432687055349524126799760768868748934400, 409056], 'label': '787500000.b.420._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052057
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 2054805997641091800, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 816570, 33, 11651071171628740185734400, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052058
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [8785624778147120460475639124714761785633, 1520938769513904378850393819463488588896, 647475510142073733120090, 2481793606933306472056416, 18315080354505052175057125580250, 816570, 256806323085312090, 304187479491947692908049344443616543393], 'label': '787500000.b.70._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052059
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [8516441831226426137731060393324991665920, 6692113389887133870950554605832741656960, 187769836800, 64104868467969459404873640491520, 26584519462641938738796171184047075206, 1451520, 90, 647475638566506780280320, 1180931214473496917895398189359104408960, 18315080354505180557388325248000, 384142610112307200], 'label': '787500000.b.420._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052060
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [6692113389887133870950554605832741656960, 18315080354505180557388325248000, 90, 384142610112307200, 26584601884286018985536651514782691206, 647475638566506780280320, 8516441831226426137731060393324991665920, 1180931214473496917895398189359104408960, 64104868467969459404873640491520, 187769836800, 1451520], 'label': '787500000.b.420._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052061
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [6692113389887133870950554605832741656960, 18315080354505180557388325248000, 90, 384142610112307200, 109894666289962235019912782208000, 647475638566506780280320, 8516441831226426137731060393324991665920, 1180931214473496917895398189359104408960, 64104868467969459404873640491520, 187769836800, 1451520], 'label': '787500000.b.420._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052062
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [26584601884286018985022906538711557229, 64104868467969459404873640491520, 18315080354505180557388325248000, 187769836800, 90, 1451520, 8516441831226426137731060393324991665920, 6692113389887133870950554605832741656960, 647475638566506780280320, 1180931214473496917895398189359104408960, 384142610112307200], 'label': '787500000.b.420._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052063
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [8516441831226426137731060393324991665920, 6692113389887133870950554605832741656960, 187769836800, 64104868467969459404873640491520, 1451520, 90, 647475638566506780280320, 1180931214473496917895398189359104408960, 18315080354505180557388325248000, 384142610112307200, 26584519462641938738512200541314891629], 'label': '787500000.b.420._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052064
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [64104868467969459404873640491520, 18315080354505180557388325248000, 187769836800, 90, 1451520, 8516441831226426137731060393324991665920, 6692113389887133870950554605832741656960, 647475638566506780280320, 1180931214473496917895398189359104408960, 384142610112307200, 109894666289963004483040572773824], 'label': '787500000.b.420._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052065
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [64104868467969459404873640491520, 18315080354505180557388325248000, 187769836800, 90, 1451520, 8516441831226426137731060393324991665920, 6692113389887133870950554605832741656960, 647475638566506780280320, 1180931214473496917895398189359104408960, 384142610112307200, 642127147803596224], 'label': '787500000.b.420._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052066
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 2054805997641091800, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052067
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 1926381349745021400, 280216752480, 27439951015054734025536995328090, 128424084332544096, 8516441785436643103037977378404506872320, 816570, 33, 11651071171628740185734400, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052068
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901255416373248816480, 8516441785436643103038747928630521515520, 280216752480, 3041877401658429101138079775263368112480, 128424084332544096, 27439951015054734025536995328090, 26584464514908844218179392447692747719, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052069
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [2432687063276616550825375566511481836890, 304187479491947045534721086713302303393, 96, 6387942446387280240188865203093950656000, 9157943146738470914915206571616, 35367047974958936242258797995553, 348713573760, 9157942499262960773190185981370, 816570], 'label': '787500000.b.2._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052070
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [18315078415604154914813411737050, 2481793606932957757440000, 5171174528793658343946339547689998007064, 384142422343680064, 26584438305803368521974190072969098183, 1520938696249398909441724603989959808090, 816570, 348713164833, 1180931231525464538349282257097257981313], 'label': '787500000.b.70._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052071
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1520938687092261701674629640879893928953, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 26584438305803368521974190072969098183, 409056, 295767383995654633702348473911332808903, 2481793606933051681670400, 304187479491948879852817877852115557760], 'label': '787500000.b.420._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052072
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 1207515669831268449764094543876156546599, 2129297200364971493530850922530491158450, 608358513305779796251788601502246064513, 409056, 295767383995654633702348473911332808903, 2481793606933051681670400], 'label': '787500000.b.420._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052073
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [903328190339322695757300615992159542406, 911748377415200391932880399776368185690, 304187479491948879852689453512994079424, 27439952309903085845219624747610, 911748377415200391932880399683920876864, 409056, 295767383995654633702348473911332808903, 2481793606933051681670400, 2701869874092736413175343182197987389400], 'label': '787500000.b.420._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052074
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [903328190339322695757300615992159542406, 911748359133193063086362260355973936513, 608358513305779796251660218983277360570, 911748377415200391932880399683920876864, 1825126166583400869336076144444274890264, 409056, 911748377415200391932880399496152249690, 295767383995654633702348473911332808903, 2481793606932957757440000], 'label': '787500000.b.420._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052075
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [911748359133193063086362260355973936513, 608358513305779796251660218983277360570, 1520938687092261701674629640879893928953, 96, 409056, 911748377415200391932880399496152249690, 295767383995654633702348473911332808903, 295767292416071291581307960837515592909, 2481793606932957757440000], 'label': '787500000.b.420._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052076
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [911748359133193063086362260355973936513, 608358513305779796251660218983277360570, 2120095834459811086250975501551598800583, 5770331886793391442863473031165145542303, 409056, 911748377415200391932880399496152249690, 608358513305779796251788601502246064513, 2481793606932957757440000], 'label': '787500000.b.420._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052077
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [5466144407301445692177591431986176007679, 911748359133193063086362260355973936513, 608358513305779796251660218983277360570, 2120095834459811086250975501551598800583, 1180931231525465185825278979317838130010, 409056, 911748377415200391932880399496152249690, 2481793606932957757440000], 'label': '787500000.b.420._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052078
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [911748359133193063086362260355973936513, 608358513305779796251660218983277360570, 5161973373487614880361805278084732159966, 2120095834459811086250975501551598800583, 409056, 911748377415200391932880399496152249690, 304187479491948879852817877852115557760, 2481793606932957757440000], 'label': '787500000.b.420._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052079
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [911748359133193063086362260355973936513, 608358513305779796251660218983277360570, 2120095834459811086250975501551598800583, 911748377415200391932880399683920876864, 409056, 911748377415200391932880399496152249690, 4858583509378191158835303446876992947775, 2481793606932957757440000], 'label': '787500000.b.420._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052080
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [911748359133193063086362260355973936513, 608358513305779796251660218983277360570, 96, 2120095834459811086250975501551598800583, 4589400655267926260461902139992229833029, 409056, 911748377415200391932880399496152249690, 2481793606932957757440000], 'label': '787500000.b.420._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052081
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [18315078415604154914813411737050, 96, 5171174528793658343946339547689998007064, 384142422343680064, 26584438305803368521974190072969098183, 1520938696249396970540469187616711808090, 816570, 348713164833, 1180931231525464538349282257097257981313], 'label': '787500000.b.70._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052082
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1180931231525465185825176541524838187520, 911748377415200391932880399590076480090, 2120095834459811086250975501551598800583, 1180931231525465185825278979317838130010, 409056, 1180931214473496917895884770109453702464, 4858583509378191158835303446876992947775, 2481793606933145526067200], 'label': '787500000.b.420._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052083
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1180931231525465185825176541524838187520, 2120095834459811086250975501551598800583, 1180931214473496917895884770109453702464, 911748377415200391932880399683920876864, 5770331886793391442863473031165145542303, 409056, 2481793606933145526067200, 911748377415200391932880399590076480090], 'label': '787500000.b.420._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052084
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1180931231525465185825176541524838187520, 911748377415200391932880399590076480090, 5161973373487614880361805278084732159966, 2120095834459811086250975501551598800583, 409056, 1180931214473496917895884770109453702464, 608358513305779796251788601502246064513, 2481793606933145526067200], 'label': '787500000.b.420._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052085
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1180931231525465185825176541524838187520, 911748377415200391932880399590076480090, 2120095834459811086250975501551598800583, 4589400655267926260461902139992229833029, 409056, 1180931214473496917895884770109453702464, 304187479491948879852817877852115557760, 2481793606933145526067200], 'label': '787500000.b.420._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052086
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [5466144407301445692177591431986176007679, 1180931231525465185825176541524838187520, 911748377415200391932880399590076480090, 96, 2120095834459811086250975501551598800583, 409056, 1180931214473496917895884770109453702464, 2481793606933145526067200], 'label': '787500000.b.420._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052087
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1180931231525465185825176541524838187520, 1180931214473496917895884770109453702464, 2129297200364971493530850922530491158450, 599157156525491883839306633513181003655, 1180931231525465185825278979317838130010, 409056, 295767383995654633702348473911332808903, 2481793606933145526067200, 911748377415200391932880399590076480090], 'label': '787500000.b.420._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052088
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [903328190339322695757300615992159542406, 1180931231525465185825176541524838187520, 911748377415200391932880399590076480090, 1520938687092261701674629640879893928953, 911748377415200391932880399683920876864, 409056, 1180931214473496917895884770109453702464, 295767383995654633702348473911332808903, 2481793606933145526067200], 'label': '787500000.b.420._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052089
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1180931231525465185825176541524838187520, 911748377415200391932880399590076480090, 1207515669831268449764094543876156546599, 2432687063276616550825375566511483489176, 409056, 1180931214473496917895884770109453702464, 295767383995654633702348473911332808903, 608358513305779796251788601502246064513, 2481793606933145526067200], 'label': '787500000.b.420._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052090
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1180931231525465185825176541524838187520, 1825126166583400869336076144444274890264, 1180931214473496917895884770109453702464, 26584438305803368521974190072969098183, 409056, 295767383995654633702348473911332808903, 2481793606933145526067200, 911748377415200391932880399590076480090, 304187479491948879852817877852115557760], 'label': '787500000.b.420._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052091
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1180931231525465185825176541524838187520, 1180931214473496917895884770109453702464, 96, 295767292416071291581307960837515592909, 409056, 295767383995654633702348473911332808903, 2481793606933145526067200, 911748377415200391932880399590076480090, 2701869874092736413175343182197987389400], 'label': '787500000.b.420._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052092
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1520938696249396970540469187616711808090, 816570, 384142422343680064, 1180931231525464538349282257097257981313, 5171174528793658343946339547689998007064, 348713164833, 26584438305803368521974190072969098183, 2481793606932957757440033, 18315078415604154914813411737050], 'label': '787500000.b.70._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052093
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [27439952309903085845127177438810, 2120095834459811086250975501551598800583, 486580401635328033, 911748377415200391932880399683920876890, 2481793606933306470604800, 4858583509378191158835303446876992947775, 348713164896, 409056], 'label': '787500000.b.420._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052094
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [27439952309903085845127177438810, 2120095834459811086250975501551598800583, 486580401635328033, 187768627296, 4858583509378191158835303446970837344575, 911748377415200391932880399683920876890, 2481793606933306470604800, 409056], 'label': '787500000.b.420._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052095
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1938901255416373248816480, 2054805997641091800, 280216752480, 27439951015054734025536995328090, 128424084332544096, 126946639730761433121817672963800, 8516441785436643103037977378404506872320, 816570, 33, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.FG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052096
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1938901255416373248816480, 1926381349745021400, 280216752480, 27439951015054734025536995328090, 128424084332544096, 563563526433, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360, 3068461866173337840773100541027768837319], 'label': '787500000.b.420._.FH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052097
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 126946639730761433121817672963800, 26584464514917800793271570464557826655, 8516441785436643103037977378404506872320, 816570, 33, 1180931196158419045184081371625762079360, 6995503107502322713783978667409242621280], 'label': '787500000.b.420._.FI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052098
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 563563526433, 3041877401658429101140006156613113133880, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360, 3068461866173337840773100541027768837319], 'label': '787500000.b.420._.FJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052099
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1938901255416373248816480, 1926381349745021400, 280216752480, 27439951015054734025536995328090, 128424084332544096, 563563526433, 26584464514917800791730510221401349319, 816570, 33, 11651071171628740185734400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.FK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052100
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [64, 599157238980204029580230593144138019815, 903328190339323343130628873816318179149, 608358513305777857350533185128997656993, 486580589405406720, 304187479491947045534721086713301894490, 911748377415201035985297416414066296416, 304187497773954913850625999078286763610, 8812209242662024128401049922644607203206], 'label': '787500000.b.420._.FL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052101
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [599157238980204029580230593144138019815, 1180931231525467020143375770456651142496, 608358513305779152199371584933045817664, 599157156525491236465978375689022366919, 1180931205316361001554690628069016752576, 486580589405406720, 7631278011136560132943632602172861954503, 911748377415201035985297416345568825696, 911748377415199744559552142114550781370], 'label': '787500000.b.420._.FM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052102
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1938901255416467173681984, 599157238980204029580230593144138019815, 26584438305803368521974190072969098183, 93924639450, 1451553, 8203850729356248105368613528493557704999, 18315080897397403691802580358433, 486580589405406720, 911748377415201035985297416345568825664], 'label': '787500000.b.420._.FN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052103
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1520938696249396970540469187616711808090, 816570, 384142422343680064, 1180931231525464538349282257097257981313, 2481793606932957757440064, 5171174528793658343946339547689998007064, 348713164833, 26584438305803368521974190072969098183, 18315078415604154914813411737050], 'label': '787500000.b.70._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052104
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [608358513305779152199371584840597708160, 599157238980204029580230593144138019815, 7900460865246826218261776455851423626215, 304187479491947045534721086807147107680, 295767292416069352680052544184051656935, 1180931231525465833198607236954227897600, 486580589405406720, 608358530357748064181310146878385030400, 911748377415201035985297416345568825600], 'label': '787500000.b.420._.FO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052105
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [599157238980204029580230593144138019815, 911748377415201035985297416345568432544, 911748349975249376878735392527851724224, 911748377415201035985297416345568825690, 304187479491948879852817877691170611296, 1207515669831270388665349960529620482566, 8508021763170080212135445910962875294829, 486580589405406720, 1180931231525467020143375770107936768033], 'label': '787500000.b.420._.FP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052106
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [599157238980204029580230593144138019815, 26584438305803368521974190072969098189, 1938901255416467173681953, 93924639456, 18315080897397403691802580358490, 486580589405406720, 1451610, 911748377415201035985297416345568825633, 8812209242662024128401049922644607203175], 'label': '787500000.b.420._.FQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052107
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1451553, 911748377415201035985297416345568825664, 35367049913860063234827928345056, 1938901255416561017036256, 256806417010358880, 5161973382644742383023111236005565238439, 187769836800, 8508021671590498812557979151546077929549], 'label': '787500000.b.420._.FR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052108
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [1938901255416373248816480, 280216752480, 27439951015054734025536995328090, 128424084332544096, 26584464514908844218179392447692747719, 563563526433, 3041877401658429101140006156613113133880, 816570, 33, 119019534357176186891492299133400, 1180931196158419045184081371625762079360], 'label': '787500000.b.420._.FS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052109
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [27439952309903085845127177438810, 486580401635328033, 911748377415200391932880399683920876890, 2481793606933306470604800, 26584438305803368521974190141466326983, 348713164896, 1825126166583400869336076144375777661464, 409056, 295767383995654633702348473911332808903], 'label': '787500000.b.420._.FT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052110
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [8508021671590498812557979151546077929543, 35367047974958807818268388230400, 256806417010358880, 911748368290327145109075469115470129920, 1294848838400084263296000, 2424267025223695340404764831781731228743, 187769836800, 408960], 'label': '787500000.b.420._.FU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052111
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [27439952309903085845127177438810, 26584438305803368521974190327758032583, 486580401635328033, 187768627296, 1825126166583400869336076144444274890264, 911748377415200391932880399683920876890, 2481793606933306470604800, 409056, 295767383995654633702348473911332808903], 'label': '787500000.b.420._.FV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052112
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [35367047974958807818268388230400, 256806417010358880, 911748368290327145109075469115470129920, 7291270346201494694548407824522388220199, 2481793606933051681670400, 187769836800, 816576, 8508021671590498812557979151546077929606], 'label': '787500000.b.420._.FW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052113
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [3337644777726988829019151712953764713549, 35367047974958807818268388230400, 1209690, 256806417010358880, 911748368290327145109075469115470129920, 8508021671590498812557979151546077929639, 187769836800, 647475510142422446284800], 'label': '787500000.b.420._.FX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052114
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [18315078415604154914813411737050, 2481793606932957757440090, 5171174528793658343946339547689998007064, 384142422343680064, 26584438305803368521974190072969098183, 1520938696249396970540469187616711808090, 816570, 348713164833, 1180931231525464538349282257097257981313], 'label': '787500000.b.70._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052115
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [911748359133193063086362260355973936513, 608358513305779796251660218983277360570, 1207515669831268449764094543876156546599, 409056, 911748377415200391932880399496152249690, 2701869874092736413175343182197987389400, 295767383995654633702348473911332808903, 608358513305779796251788601502246064513, 2481793606932957757440000], 'label': '787500000.b.420._.FY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052116
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [35367047974958807818268388230400, 256806417010358880, 8508021671590498812557979151546077929575, 1451584, 911748368290327145109075469115470129920, 1547523224871678605215583154913103849606, 187769836800, 1938901255416561016627200], 'label': '787500000.b.420._.FZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.FZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.FZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052117
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [911748359133193063086362260355973936513, 608358513305779796251660218983277360570, 2432687063276616550825375566511483489176, 1180931231525465185825278979317838130010, 599157156525491883839306633513181003655, 409056, 911748377415200391932880399496152249690, 295767383995654633702348473911332808903, 2481793606932957757440000], 'label': '787500000.b.420._.GA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.GA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.GA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052118
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [187769836800, 35367049913860063234827927936000, 1938901255416561016627200, 911748368290328436534820743669773944320, 64, 256806417010358880, 8812209141924502711354100899165917929606, 3641034512394130939675850928388549448935], 'label': '787500000.b.420._.GB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.GB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.GB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052119
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [608358513305779796251660218983277360570, 2481793606932957757440000, 2129297200364971493530850922530491158450, 26584438305803368521974190072969098183, 911748377415200391932880399496152249690, 911748359133193063086362260355973936513, 409056, 295767383995654633702348473911332808903, 304187479491948879852817877852115557760], 'label': '787500000.b.420._.GC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.GC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.GC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052120
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 420, 'diagramx': None, 'generators': [6692113389887133870950554605832741656960, 18315080354505180557388325248000, 90, 384142610112307200, 109894666289962235019912782208000, 647475638566506780280320, 1180931214473496917895398189359104408960, 187769836800, 1451520, 26584473672853177799236955797474002086, 8516441831226426137731344363967721990464], 'label': '787500000.b.420._.GD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '420.GD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '420._.GD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052121
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': '480.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [18315078415603796758683878380864, 911748359133192520193755025621222380864, 1938901741996962652364160, 3346064926940179044015450018329316912570, 64104883899322569347437404106296, 816480, 816570, 384142422344496480, 348714616384], 'label': '787500000.b.480.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052122
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [486580401635328033, 2045490, 90, 348713573760, 26584438305803368521974190072969098183, 6692113371537298718505236668300207326816, 647475510142073734329633, 816570, 9157944981057054286200865977690, 911748377415201035985297416345567616033], 'label': '787500000.b.504._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '504.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052123
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [486580401635328033, 90, 348713573760, 26584438305803368521974190072969098183, 903328209920008567276083040832632678975, 6692113371537298718505236668300207326816, 647475510142073734329633, 816570, 9157944981057054286200865977690, 911748377415201035985297416345567616033], 'label': '787500000.b.504._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '504.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052124
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [486580401635328033, 90, 348713573760, 26584438305803368521974190072969098183, 6692113371537298718505236668300207326816, 647475510142073734329633, 816570, 9157944981057054286200865977690, 903328209920008567276083040832630633639, 911748377415201035985297416345567616033], 'label': '787500000.b.504._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '504.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052125
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1520938696249396970540469187616711808090, 816570, 384142422343680064, 1180931231525464538349282257097257981313, 5171174528793658343946339547689998007064, 348713164833, 2481793606932957757440096, 26584438305803368521974190072969098183, 18315078415604154914813411737050], 'label': '787500000.b.70._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052126
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [486580401635328033, 26584438305803368521974190072971143615, 90, 348713573760, 903328209920008567276083040832632678975, 6692113371537298718505236668300207326816, 647475510142073734329633, 816570, 9157944981057054286200865977690, 911748377415201035985297416345567616033], 'label': '787500000.b.504._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '504.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052127
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [486580401635328033, 26584438305803368521974190072971143615, 90, 348713573760, 6692113371537298718505236668300207326816, 647475510142073734329633, 816570, 9157944981057054286200865977690, 903328209920008567276083040832630633639, 911748377415201035985297416345567616033], 'label': '787500000.b.504._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '504.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052128
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [486580401635328033, 2045490, 90, 608358540780490141587909256463225270913, 348713573760, 6692113371537298718505236668300207326816, 647475510142073734329633, 816570, 9157944981057054286200865977690, 911748377415201035985297416345567616033], 'label': '787500000.b.504._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '504.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052129
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [486580401635328033, 2045490, 90, 348713573760, 6692113371537298718505236668300207326816, 647475510142073734329633, 816570, 9157944981057054286200865977690, 903328209920008567276083040832630633639, 911748377415201035985297416345567616033], 'label': '787500000.b.504._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '504.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052345
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [18315079063079665057167360384000, 348714374490, 5171174592898524221998512798755433759393, 1451616, 2701869909459792049858992101305291190944, 608358513305779152199371584840597299200, 128424433045708800, 2481794093513547161395200], 'label': '787500000.b.840._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052130
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [5743747303191121065245973808717750680960, 486580401635328033, 6387942273650865345525197627849190687456, 90, 348713573760, 6987082921657281492169953385963151481599, 647475510142073734329633, 816570, 9157944981057054286200865977690, 911748377415201035985297416345567616033], 'label': '787500000.b.504._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '504.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052131
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [9157944981057054286200865977690, 816570, 5743747303191121065245973808717750680960, 348713573760, 90, 647475510142073734329633, 6987082921657281492169953385963150236839, 6387942273650865345525197627849190687456, 486580401635328033, 911748377415201035985297416345567616033], 'label': '787500000.b.504._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '504.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052132
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [5743747303191121065245973808717750680960, 486580401635328033, 6387942273650865345525197627849190687456, 90, 348713573760, 647475510142073734329633, 6692113252517765652756875800613192496513, 816570, 9157944981057054286200865977690, 911748377415201035985297416345567616033], 'label': '787500000.b.504._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '504.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052133
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [9157944981057054286200865977690, 816570, 5743747303191121065245973808717750680960, 348713573760, 90, 647475510142073734329633, 6692113252517765652756875800613195176953, 6387942273650865345525197627849190687456, 486580401635328033, 911748377415201035985297416345567616033], 'label': '787500000.b.504._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '504.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '504._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052134
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [280215936064, 201474241862454107758800118656000, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 1938901255416373248000064, 1287995253753, 7264685953685495723960503188303198595864, 408960, 9429819583729716287795822100309340157496, 18315078415603668334411777209600, 486580401635737056], 'label': '787500000.b.525._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052135
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 384143710337891193, 1180931196158419045184081371625761670433, 210599114461905173449925337984000, 256806323086763520, 1938901255416373248000064, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 18315078415603668334411777209600, 486580401635737056], 'label': '787500000.b.525._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052136
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1033206319416, 8213051930452083563640618688692921624960, 1180931196158418502291729854947329209600, 264316001474174909888847891888696, 2481793606932957757848960, 96, 93924230496, 164809324409541079027921187069433, 238106895998478420715897457405464, 26584438305814267636530512139789411239, 1451520, 9157942499263089197274517708896, 27439951015054247445135360000064], 'label': '787500000.b.70._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052137
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [128425372327555833, 280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 218526211421809631384985150336000, 486580401636144480, 1938901255416373248000064, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 18315078415603668334411777209600, 486580401635737056], 'label': '787500000.b.525._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052138
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [486581689629130233, 280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 1938901255416373248000064, 183159163446850696230711427968000, 7264685953685495723960503188303198595864, 128424084332544000, 9429819583729716287795822100309340157496, 18315078415603668334411777209600, 486580401635737056], 'label': '787500000.b.525._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052139
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 384142422344889600, 192317105946113528621314147200000, 1938901255416373248000064, 7264685953685495723960503188303198595864, 256807611079930713, 9429819583729716287795822100309340157496, 18315078415603668334411777209600, 486580401635737056], 'label': '787500000.b.525._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052140
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 384142422344889600, 192317105946113528621314147200000, 1938901255416373248000064, 7264685953685495723960503188303198595864, 256807611079930713, 9429819583729716287795822100309340157496, 18315078415603668334411777209600, 384142422344496576], 'label': '787500000.b.525._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052141
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [280215936064, 201474241862454107758800118656000, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 1938901255416373248000064, 1287995253753, 7264685953685495723960503188303198595864, 408960, 9429819583729716287795822100309340157496, 18315078415603668334411777209600, 384142422344496576], 'label': '787500000.b.525._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052142
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 384143710337891193, 1180931196158419045184081371625761670433, 210599114461905173449925337984000, 256806323086763520, 1938901255416373248000064, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 18315078415603668334411777209600, 384142422344496576], 'label': '787500000.b.525._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052143
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [128425372327555833, 280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 218526211421809631384985150336000, 486580401636144480, 1938901255416373248000064, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 18315078415603668334411777209600, 384142422344496576], 'label': '787500000.b.525._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052144
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [486581689629130233, 280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 1938901255416373248000064, 183159163446850696230711427968000, 7264685953685495723960503188303198595864, 128424084332544000, 9429819583729716287795822100309340157496, 18315078415603668334411777209600, 384142422344496576], 'label': '787500000.b.525._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052145
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [486581689629130233, 280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 1938901255416373248000064, 183159163446850696230711427968000, 7264685953685495723960503188303198595864, 128424084332544000, 9429819583729716287795822100309340157496, 256806323086521696, 18315078415603668334411777209600], 'label': '787500000.b.525._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052146
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 384142422344889600, 192317105946113528621314147200000, 1938901255416373248000064, 7264685953685495723960503188303198595864, 256807611079930713, 9429819583729716287795822100309340157496, 256806323086521696, 18315078415603668334411777209600], 'label': '787500000.b.525._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052147
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [2432687146929102288989053369340045164864, 187769443713, 2481793606932957757440000, 9157942499263344915357741120064, 816570, 256806323085312090, 7291270491497968286328102322282825919909, 608358513305777857350533185128998457690], 'label': '787500000.b.70._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052148
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [280215936064, 201474241862454107758800118656000, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 1938901255416373248000064, 1287995253753, 7264685953685495723960503188303198595864, 408960, 9429819583729716287795822100309340157496, 256806323086521696, 18315078415603668334411777209600], 'label': '787500000.b.525._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052149
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 384143710337891193, 1180931196158419045184081371625761670433, 210599114461905173449925337984000, 256806323086763520, 1938901255416373248000064, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 256806323086521696, 18315078415603668334411777209600], 'label': '787500000.b.525._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052150
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [128425372327555833, 280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 218526211421809631384985150336000, 486580401636144480, 1938901255416373248000064, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 256806323086521696, 18315078415603668334411777209600], 'label': '787500000.b.525._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052346
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [608358513305779152199371584840597299200, 18315079063079665057167360384000, 128424433045708800, 348714374490, 2701869909459792049858992101305291190976, 5171174592898524221998512798755433759450, 409056, 2481794093513547161395200], 'label': '787500000.b.840._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052151
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [128425372327555833, 128424084333995616, 280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 218526211421809631384985150336000, 486580401636144480, 1938901255416373248000064, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 18315078415603668334411777209600], 'label': '787500000.b.525._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052152
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [486581689629130233, 128424084333995616, 280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 1938901255416373248000064, 183159163446850696230711427968000, 7264685953685495723960503188303198595864, 128424084332544000, 9429819583729716287795822100309340157496, 18315078415603668334411777209600], 'label': '787500000.b.525._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052153
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [128424084333995616, 280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 384142422344889600, 192317105946113528621314147200000, 1938901255416373248000064, 7264685953685495723960503188303198595864, 256807611079930713, 9429819583729716287795822100309340157496, 18315078415603668334411777209600], 'label': '787500000.b.525._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052154
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [128424084333995616, 280215936064, 201474241862454107758800118656000, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 1938901255416373248000064, 1287995253753, 7264685953685495723960503188303198595864, 408960, 9429819583729716287795822100309340157496, 18315078415603668334411777209600], 'label': '787500000.b.525._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052155
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [128424084333995616, 280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 384143710337891193, 1180931196158419045184081371625761670433, 210599114461905173449925337984000, 256806323086763520, 1938901255416373248000064, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 18315078415603668334411777209600], 'label': '787500000.b.525._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052156
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [280215936064, 26584455357786420329454779674823648549, 96, 14888460758425065404035833, 384143710337891193, 1180931196158419045184081371625761670433, 210599114461905173449925337984000, 256806323086763520, 1938901255416373248000064, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 18315078415603668334411777209600], 'label': '787500000.b.525._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052157
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [128425372327555833, 280215936064, 26584455357786420329454779674823648549, 96, 14888460758425065404035833, 1180931196158419045184081371625761670433, 218526211421809631384985150336000, 486580401636144480, 1938901255416373248000064, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 18315078415603668334411777209600], 'label': '787500000.b.525._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052158
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [11651071043205031569465600, 8213051930452083563640618688692921624960, 1180931196158418502291729854947329209600, 264316001474174909888847891888696, 2481793606932957757848960, 96, 93924230496, 164809324409541079027921187069433, 238106895998478420715897457405464, 26584438305814267636530512139789411239, 1451520, 9157942499263089197274517708896, 27439951015054247445135360000064], 'label': '787500000.b.70._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052159
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [486581689629130233, 280215936064, 26584455357786420329454779674823648549, 96, 14888460758425065404035833, 1180931196158419045184081371625761670433, 1938901255416373248000064, 183159163446850696230711427968000, 7264685953685495723960503188303198595864, 128424084332544000, 9429819583729716287795822100309340157496, 18315078415603668334411777209600], 'label': '787500000.b.525._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052160
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [280215936064, 26584455357786420329454779674823648549, 96, 14888460758425065404035833, 1180931196158419045184081371625761670433, 384142422344889600, 192317105946113528621314147200000, 1938901255416373248000064, 7264685953685495723960503188303198595864, 256807611079930713, 9429819583729716287795822100309340157496, 18315078415603668334411777209600], 'label': '787500000.b.525._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052161
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [280215936064, 201474241862454107758800118656000, 26584455357786420329454779674823648549, 96, 14888460758425065404035833, 1180931196158419045184081371625761670433, 1938901255416373248000064, 1287995253753, 7264685953685495723960503188303198595864, 408960, 9429819583729716287795822100309340157496, 18315078415603668334411777209600], 'label': '787500000.b.525._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052162
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [26584473672864835933123114086598847909, 280215936064, 201474241862454107758800118656000, 96, 14888460758425065404035833, 1180931196158419045184081371625761670433, 1938901255416373248000064, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 18315078415603796758496109360480, 18315078415603668335699770618713, 27439951015054247445135361209600], 'label': '787500000.b.525._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052163
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [1287993802233, 280215936064, 26584455357786420329454779674823648549, 96, 14888460758425065404035833, 1180931196158419045184081371625761670433, 128424084333995520, 1938901255416373248000064, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 183159163446850439424388342656000, 18315078415603668334411777209600], 'label': '787500000.b.525._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052164
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [280215936064, 201474241862454107758800118656000, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 128424084333995520, 1938901255416373248000064, 1287995253753, 7264685953685495723960503188303198595864, 408960, 9429819583729716287795822100309340157496, 18315078415603668334411777209600], 'label': '787500000.b.525._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052165
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [1287993802233, 280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 128424084333995520, 1938901255416373248000064, 409056, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 183159163446850439424388342656000, 18315078415603668334411777209600], 'label': '787500000.b.525._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052166
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [1287993802233, 409050, 280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 128424084333995520, 1938901255416373248000064, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 183159163446850439424388342656000, 18315078415603668334411777209600], 'label': '787500000.b.525._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052167
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [1287993802233, 280215936064, 26584455357786420329454779674823648549, 14888460758425065404035833, 1180931196158419045184081371625761670433, 128424084333995520, 1938901255416373248000064, 409024, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 183159163446850439424388342656000, 18315078415603668334411777209600], 'label': '787500000.b.525._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052168
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [1287993802233, 280215936064, 26584455357786420329454779674823648549, 408993, 14888460758425065404035833, 1180931196158419045184081371625761670433, 128424084333995520, 1938901255416373248000064, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 183159163446850439424388342656000, 18315078415603668334411777209600], 'label': '787500000.b.525._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052169
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [96, 1825126249005848295115382826216695064960, 816570, 1180931231525464538349768837150179328090, 256806323085312090, 6987083013236866884735555265347163169183, 348713164833, 9157942499263344915451585758720], 'label': '787500000.b.70._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052170
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [280215936064, 201474241862454107758800118656000, 1294848838399804047360064, 304187470334006380589728680926310604833, 201474241862453849774262427776000, 128424084333995520, 1287995253753, 7264685953685495723960503188303198595864, 408960, 9125632113395712388999700352757997386296, 18315078415603668334411777209600, 26584455357774762195697045282262326343], 'label': '787500000.b.525._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052171
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [1287993802233, 280215936064, 96, 1180931196158419045184081371625761670433, 201474241862453849774262427776000, 128424084333995520, 1938901255416373248000064, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 183159163446850439424388342656000, 18315078415603668334411777209600, 26584455357774762195697045282262326343], 'label': '787500000.b.525._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052172
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [280215936064, 201474241862454107758800118656000, 1180931196158419045184081371625761670433, 201474241862453849774262427776000, 128424084333995520, 1938901255416373248000064, 1287995253753, 7264685953685495723960503188303198595864, 408960, 9429819583729716287795822100309340157496, 18315078415603668334411777209600, 26584455357774762195697045282262326343], 'label': '787500000.b.525._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052173
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [1287993802233, 280215936064, 1180931196158419045184081371625761670433, 201474241862453849774262427776000, 128424084333995520, 1938901255416373248000064, 409056, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 183159163446850439424388342656000, 18315078415603668334411777209600, 26584455357774762195697045282262326343], 'label': '787500000.b.525._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052174
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [1938901255416373248000064, 7264685953685495723960503188303198595864, 183159163446850439424388342656000, 1287993802233, 1180931196158419045184081371625761670433, 280215936064, 18315078415603668334411777209600, 26584455357774762195697045282262326343, 201474241862453849774262427776000, 9429819583729716287795822100309340157496, 409050, 128424084333995520], 'label': '787500000.b.525._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052175
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [1287993802233, 280215936064, 1180931196158419045184081371625761670433, 201474241862453849774262427776000, 128424084333995520, 1938901255416373248000064, 409024, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 183159163446850439424388342656000, 18315078415603668334411777209600, 26584455357774762195697045282262326343], 'label': '787500000.b.525._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052176
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [1287993802233, 280215936064, 408993, 1180931196158419045184081371625761670433, 201474241862453849774262427776000, 128424084333995520, 1938901255416373248000064, 7264685953685495723960503188303198595864, 9429819583729716287795822100309340157496, 183159163446850439424388342656000, 18315078415603668334411777209600, 26584455357774762195697045282262326343], 'label': '787500000.b.525._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052177
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [15431353109942025628541433, 1547523142449240348713328602094723847583, 6682912051421932787823325762637073443789, 18315078415603668334505701046880, 26584438305805202840070980956993418189, 608358513305777857350533185036550755680, 647475510142073734329633, 486580495559558400, 93925681920], 'label': '787500000.b.525._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052178
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [486580495559558400, 647475510142073733120096, 26584438305803368521974190072970549703, 1547523142449240891605680118679233287679, 6682912042297060188372746651913489443815, 15431353109942025628541433, 93925681920, 18315078415603668334505701046880, 608358513305777857350533185036550755680], 'label': '787500000.b.525._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052179
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [1547523142449241535658097135248433927615, 26584438305805202840070980956993418246, 18315078415603668334505701046880, 647475510142073733528993, 608358513305777857350533185036550755680, 6682912051421932787823325762637073443846, 12949559503009067871101400, 486580495559558400, 93925681920], 'label': '787500000.b.525._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052180
    {'ambient': '787500000.b', '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': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [128424084333995520, 96, 1825126203216056300209100165461249718880, 7908881015690058195734121053042411819584, 1938901741996774884779616, 18315079063079306900663767104064, 348713981376, 1209664, 911748359133191876141338009144467840000], 'label': '787500000.b.4.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052181
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [8213051930452083563640618688692921624960, 1180931196158418502291729854947329209600, 264316001474174909888847891888696, 2481793606932957757848960, 96, 93924230496, 164809324409541079027921187069433, 238106895998478420715897457405464, 11007018626189025932352096, 26584438305814267636530512139789411239, 1451520, 9157942499263089197274517708896, 27439951015054247445135360000064], 'label': '787500000.b.70._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052182
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [1547523142449240891605680118679233287589, 93925681920, 26584438305804555466742723226679178246, 14888460758425441119101464, 6682912051421932140449997504906759203846, 18315078415603668334505701046880, 608358513305777857350533185036550755680, 486580495559558400, 1938901255416373248816570], 'label': '787500000.b.525._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052183
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [1547523142449242830506935535052481287679, 1209600, 18315078415603668334505701046880, 26584438305805202840070980956993418183, 608358513305777857350533185036550755680, 486580495559558400, 93925681920, 6682912051421932787823325762637073443783, 13597035013151141604221496], 'label': '787500000.b.525._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052184
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [1294848838399804048811584, 93925681920, 18315078415603668334505701046880, 15431353109942025628541433, 608358513305777857350533185036550755680, 486580495559558400, 1547523142449242183031425392978748167646, 6682912051421932140449997504906759203783, 26584438305804555466742723226679178183], 'label': '787500000.b.525._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052185
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [12949559503009067871101433, 6682912060579068704164033324207377443815, 1547523142449242830506935535052481922719, 18315078415603668334505701046880, 608358513305777857350533185036550755680, 2481793606932957757440096, 486580495559558400, 26584438305803368521974190072969340199, 93925681920], 'label': '787500000.b.525._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052186
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [64, 608358522430652395702110905810296627200, 93925681920, 295767284488987281236634739570497043103, 4222808698554381760974052677565894397400, 27439951015054247445323128627200, 3255064, 11651071043205688976179290, 8413681327984340150832600, 2432687046224651527349053233966908976570, 409056, 647475510142422446284800], 'label': '787500000.b.525._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052187
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [608358522430652395702110905810296627200, 11651071300012173006028890, 93925681920, 295767284488987281236634739570497043103, 27439951015054247445323128627200, 3255064, 8413681327984340150832600, 2432687046224651527349053233966908976570, 409056, 128424084332544000, 4222808698554379279180574168692469501400, 647475510142422446284800], 'label': '787500000.b.525._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052188
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [608358522430652395702110905810296627200, 93925681920, 295767284488987281236634739570497043103, 128424084332544064, 27439951015054247445323128627200, 3255064, 8413681327984340150832600, 11651071529786090611507290, 2432687046224651527349053233966908976570, 4222808698554381760974309483888979709400, 409056, 647475510142422446284800], 'label': '787500000.b.525._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052189
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [608358522430652395702110905810296627200, 93925681920, 11651071300012012061491290, 128424084332544096, 295767284488987281236634739570497043103, 27439951015054247445323128627200, 3255064, 4222808698554381760974181101650226941400, 8413681327984340150832600, 2432687046224651527349053233966908976570, 409056, 647475510142422446284800], 'label': '787500000.b.525._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052190
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [608358522430652395702110905810296627200, 128424084332544033, 93925681920, 295767284488987281236634739570497043103, 27439951015054247445323128627200, 3255064, 8413681327984340150832600, 2432687046224651527349053233966908976570, 4222808698554381760974539257967529725400, 409056, 647475510142422446284800, 11651071427348111319859290], 'label': '787500000.b.525._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052191
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 525, 'diagramx': None, 'generators': [608358522430652395702110905810296627200, 93925681920, 128424084332544090, 295767284488987281236634739570497043103, 27439951015054247445323128627200, 3255064, 8413681327984340150832600, 4222808698554381760974436819988238077400, 2432687046224651527349053233966908976570, 409056, 11651071171629773308723290, 647475510142422446284800], 'label': '787500000.b.525._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '525.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '525._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052192
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [911748377415199097083914663941559928416, 816570, 486580750349944410, 9157942499263089196925805360513, 348713164833, 647475510142073733120096, 5770331897216134167643013990327915078309, 2129297282819680401882215250533069366913], 'label': '787500000.b.70._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052193
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [35367047974958807818174464408960, 911748349975248082029410412322168627200, 256806671798476896, 45789801059383646707599648825600, 9157942499263731325012889820120, 35367050456752414751132222256480, 33, 408960, 348713164833, 218526211421809247243381159116896], 'label': '787500000.b.560._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '560.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '560._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052194
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [35367047974958807818174464408960, 911748349975248082029410412322168627200, 256806671798476896, 45789801059383646707599648825600, 9157942499263731325012889820120, 35367050456752414751132222256480, 26584629392063775276973988318769257639, 408960, 33, 348713164833], 'label': '787500000.b.560._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '560.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '560._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052195
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [35367047974958807818174464408960, 911748349975248082029410412322168627200, 256806671798476896, 26584446232900328426534563366862274566, 45789801059383646707599648825600, 9157942499263731325012889820120, 35367050456752414751132222256480, 33, 408960, 348713164833], 'label': '787500000.b.560._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '560.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '560._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052196
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 140, 'diagramx': None, 'generators': [35367047974958807818174464408960, 911748349975248082029410412322168627200, 256806671798476896, 26584629392063775276973987755206140166, 45789801059383646707599648825600, 9157942499263731325012889820120, 35367050456752414751132222256480, 33, 408960, 348713164833], 'label': '787500000.b.560._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '560.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '560._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052197
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 140, 'diagramx': None, 'generators': [35367047974958807818174464408960, 911748349975248082029410412322168627200, 256806671798476896, 45789801059383646707599648825600, 1287994211256, 9157942499263731325012889820120, 35367050456752414751132222256480, 33, 408960, 348713164833], 'label': '787500000.b.560._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '560.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '560._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052198
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 140, 'diagramx': None, 'generators': [1294848838399804047360000, 1451553, 8213051920029343428776823868858978475520, 1180931231525464538349410680926801590970, 256806671798476896, 9157942499262960773190186616353, 96, 642128248028362233, 4562816171172332944158092041651817655090, 348713164833], 'label': '787500000.b.560._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '560.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '560._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052199
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 140, 'diagramx': None, 'generators': [642128248028362233, 1180931231525464538349410680926801590970, 96, 4589400708984815211632380292600353948223, 256806671798476896, 8213051920029343428776823868858978475520, 9157942499262960773190186616353, 1451553, 348713164833, 1294848838399804047360000], 'label': '787500000.b.560._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '560.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '560._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052200
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': '600.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 600, 'diagramx': None, 'generators': [109894670171405881284703861532856, 128424433046918464, 1451553, 35367049269807774642250613982784, 280216752480, 218526209479269783099585991814464, 2481793606933306470604864, 1180931196158416563390858581090349362010, 26584501147569997915200405396837839366, 5743747448487582894411163606801353750360], 'label': '787500000.b.600.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '600.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052201
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901512222696333312000, 26584438305805850315581123099224008999, 96, 4562816079592754673746147794541494656000, 384142610112307200, 27439951015054247445135360816480, 2045464, 1180931196158417210866471161143372678400, 6387942227861076584586564510065304115200, 816570, 280217387553], 'label': '787500000.b.630._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052202
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [4222808597816844373103835208638439987200, 1938901512222696333312000, 898933631834488384, 96, 384142610112307200, 27439951015054247445135360816480, 2045464, 1180931196158417210866471161143372678400, 26584438305805850316223250151705635789, 816570, 280217387553], 'label': '787500000.b.630._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052203
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [11651071043205031569465600, 1033206319416, 8213051930452083563640618688692921624960, 1180931196158418502291729854947329209600, 264316001474174909888847891888696, 2481793606932957757848960, 96, 93924230496, 164809324409541079027921187069433, 238106895998478420715897457405464, 1451520, 9157942499263089197274517708896, 27439951015054247445135360000064], 'label': '787500000.b.70._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052204
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1938901512222696333312000, 898933631834488384, 96, 4562816079592754673746147794541494656000, 384142610112307200, 27439951015054247445135360816480, 1180931196158417210866471161143372678400, 26584438305805850316223250151705635789, 6387942227861076584586564510065304115200, 816570, 280217387553], 'label': '787500000.b.630._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052205
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 315, 'diagramx': None, 'generators': [4222808597816844373103835208638439987200, 1938901512222696333312000, 6379522042016043783716095162336184022989, 898933631834488384, 96, 384142610112307200, 27439951015054247445135360816480, 2045464, 1180931196158417210866471161143372678400, 816570, 280217387553], 'label': '787500000.b.630._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052206
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 315, 'diagramx': None, 'generators': [4222808597816844373103835208638439987200, 1938901512222696333312000, 6387942227861076584585922383197718315584, 96, 384142610112307200, 27439951015054247445135360816480, 2045464, 1180931196158417210866471161143372678400, 26584438305805850316223250151705635789, 816570, 280217387553], 'label': '787500000.b.630._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052207
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 315, 'diagramx': None, 'generators': [4222808597816844373103835208638439987200, 1938901512222696333312000, 6387942227861076584585922383197718315584, 96, 384142610112307200, 6387942227861076584586564510065306160664, 27439951015054247445135360816480, 1180931196158417210866471161143372678400, 26584438305805850316223250151705635789, 816570, 280217387553], 'label': '787500000.b.630._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052208
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 315, 'diagramx': None, 'generators': [4222808597816844373103835208638439987200, 1938901512222696333312000, 898933631834488384, 96, 384142610112307200, 6387942227861076584586564510065306160664, 27439951015054247445135360816480, 1180931196158417210866471161143372678400, 26584438305805850316223250151705635789, 816570, 280217387553], 'label': '787500000.b.630._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052209
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 315, 'diagramx': None, 'generators': [4222808597816844373103835208638439987200, 1938901512222696333312000, 6379522042016043783716095162336184022989, 898933631834488384, 96, 384142610112307200, 6387942227861076584586564510065306160664, 27439951015054247445135360816480, 1180931196158417210866471161143372678400, 816570, 280217387553], 'label': '787500000.b.630._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052210
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 315, 'diagramx': None, 'generators': [4222808597816844373103835208638439987200, 1938901512222696333312000, 6379522042016043783716095162336184022989, 6387942227861076584585922383197718315584, 96, 384142610112307200, 6387942227861076584586564510065306160664, 27439951015054247445135360816480, 1180931196158417210866471161143372678400, 816570, 280217387553], 'label': '787500000.b.630._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052211
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 315, 'diagramx': None, 'generators': [1938901512222696333312000, 96, 4562816079592754673746147794541494656000, 384142610112307200, 898933631835898713, 27439951015054247445135360816480, 1180931196158417210866471161143372678400, 26584438305805850316223250151705635789, 6387942227861076584586564510065304115200, 816570, 280217387553], 'label': '787500000.b.630._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052212
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 315, 'diagramx': None, 'generators': [1938901512222696333312000, 96, 4562816079592754673746147794541494656000, 384142610112307200, 27439951015054247445135360816480, 2045464, 1180931196158417210866471161143372678400, 26584438305805850316223250151705635789, 6387942227861076584586564510065304115200, 816570, 280217387553], 'label': '787500000.b.630._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052213
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 315, 'diagramx': None, 'generators': [1938901512222696333312000, 26584438305805850316223250151707923166, 26584438305805850315581123099224008999, 96, 4562816079592754673746147794541494656000, 384142610112307200, 27439951015054247445135360816480, 1180931196158417210866471161143372678400, 6387942227861076584586564510065304115200, 816570, 280217387553], 'label': '787500000.b.630._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052214
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [2701870001039368374307222121579735723610, 911748368290328979426685679691702067233, 9157942499262960773190185981370, 647475510142073733120064, 816570, 647475510142167657759360, 9152216761069779392233299104699144993246, 304187479491948336960466361012817183393], 'label': '787500000.b.70._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052215
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 315, 'diagramx': None, 'generators': [4222808597816844373103835208638439987200, 1938901512222696333312000, 6379522042016043783716095162336184022989, 6387942227861076584585922383197718315584, 96, 384142610112307200, 27439951015054247445135360816480, 2045464, 1180931196158417210866471161143372678400, 816570, 280217387553], 'label': '787500000.b.630._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052216
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 315, 'diagramx': None, 'generators': [1938901512222696333312000, 26584438305805850316223250151707923166, 898933631834488384, 96, 4562816079592754673746147794541494656000, 384142610112307200, 27439951015054247445135360816480, 1180931196158417210866471161143372678400, 6387942227861076584586564510065304115200, 816570, 280217387553], 'label': '787500000.b.630._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052217
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 315, 'diagramx': None, 'generators': [1938901512222696333312000, 898933631834488384, 96, 4562816079592754673746147794541494656000, 384142610112307200, 27439951015054247445135360816480, 2045464, 1180931196158417210866471161143372678400, 6387942227861076584586564510065304115200, 816570, 280217387553], 'label': '787500000.b.630._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052218
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 630, 'diagramx': None, 'generators': [7604693453776465774887394200057736393656, 3237389715220409548800000, 26584455357774762195210464788178888935, 6379522059068011400531256758868941260735, 1938901639558795591680064, 35367047974958807818268389681953, 7900460903109523195486948476780589673549, 409056, 1294849222542226391040000, 348713164833, 304187479491946398059082520555236639393], 'label': '787500000.b.630._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052219
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 630, 'diagramx': None, 'generators': [3237389715220409548800000, 26584455357774762195210464788178888935, 6379522059068011400531256758868941260735, 7604693453776466418939939640711269577656, 35367047974958807818268389681953, 647475638566158065664064, 7900460903109521361168467543474221673549, 409056, 1294849222542226391040000, 348713164833, 304187479491946398059082520555236639393], 'label': '787500000.b.630._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052220
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 630, 'diagramx': None, 'generators': [3237389715220409548800000, 7900460903109522548113491794965942889549, 7604693453776466961832419539534531785656, 26584455357774762195210464788178888935, 6379522059068011400531256758868941260735, 35367047974958807818268389681953, 2481794093513359392768064, 409056, 1294849222542226391040000, 348713164833, 304187479491946398059082520555236639393], 'label': '787500000.b.630._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052221
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 630, 'diagramx': None, 'generators': [3237389715220409548800000, 7604693453776464480038939942676032713656, 26584455357774762195210464788178888935, 6379522059068011400531256758868941260735, 35367047974958807818268389681953, 409056, 1294849222542226391040000, 1294849095206127132672064, 7900460903109523842961972038452687465549, 348713164833, 304187479491946398059082520555236639393], 'label': '787500000.b.630._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052222
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 630, 'diagramx': None, 'generators': [7900460903109521904060946396157989481549, 64, 3237389715220409548800000, 26584455357774762195210464788178888935, 6379522059068011400531256758868941260735, 35367047974958807818268389681953, 409056, 1294849222542226391040000, 348713164833, 304187479491946398059082520555236639393, 7604693453776465127514552522729057481656], 'label': '787500000.b.630._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052223
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 630, 'diagramx': None, 'generators': [5719183808733768941568000, 7604693453776465127514552522821504790456, 6379522059068011400531256758868941260735, 35367047974958807818268389681953, 409056, 2481794093513359392768000, 128424084332544000, 26584455357772927877343447982704584935, 7900460920161490920523607027236909673549, 348713164833, 304187479491946398059082520555236639393], 'label': '787500000.b.630._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052224
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 630, 'diagramx': None, 'generators': [64, 5719183808733768941568000, 7604693453776465127514194366411754697656, 6379522059068011400531256758868941260735, 35367047974958807818268389681953, 409056, 2481794093513359392768000, 7900460903109521361168365105494930025549, 348713164833, 304187479491946398059082520555236639393, 26584455357772927877113673904154568935], 'label': '787500000.b.630._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '630.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '630._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052225
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1033206319416, 8213051930452083563640618688692921624960, 1180931196158418502291729854947329209600, 264316001474174909888847891888696, 2481793606932957757848960, 96, 93924230496, 26584438305803368521974190327759484199, 164809324409541079027921187069433, 238106895998478420715897457405464, 1451520, 9157942499263089197274517708896, 27439951015054247445135360000064], 'label': '787500000.b.70._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052226
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [608358504148642588485078959123050560064, 18315079710452506734403593196833, 348713573760, 2701869901532695089954303304436643581370, 8785624804356231119525171337385688966496, 1209664, 2481793606933145526067296], 'label': '787500000.b.700._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052227
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [10306563309554121182761263823869824406393, 183159163446850439423918703768960, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 1209600, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052228
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [64, 45789790052365020519955632869760, 818352869850, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 218526211421809247242093167769050, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052229
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1451553, 45789790052365020519955632869760, 183159163446850439423918703769056, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 469639705056, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052230
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [9157944981056567705893155121920, 18315078415603668334411777209600, 187769836800, 183159163446850439423918703768960, 1209600, 45789790052365020519955632869760, 911748349975248082029410412134400000064, 10306563309554121182761005838862493821490, 469639704960, 304187470334003898796378553942925312064, 192317112420893472765008948267520], 'label': '787500000.b.700._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052231
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [45789790052365020519955632869760, 911748349975248082029410412134400000064, 9157944981056567705893155121920, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 816576, 469639705024, 10306563309554121182761005838862493821490, 18315078415603668334411777209600, 183159163446850439423918703769024], 'label': '787500000.b.700._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052232
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [469639705050, 409050, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 183159163446850439423918703769050, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052233
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1451616, 183159163446850439423918703768993, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 9125632113395704619370789385295744406393, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052234
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [64, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 9733990608386404061117397429758377571193, 304187470334003898796378553942925312064, 187769836800, 218526211421809247242093167769050, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052235
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1451553, 45789790052365020519955632869760, 183159163446850439423918703769056, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 10037380463370952701400199797430144406393, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052236
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [7900460892686780470707563064766784389319, 1520938769513904378850393819463488588896, 647475510142073733120090, 2481793606933306472056416, 18315080354505052175057125580250, 816570, 256806323085312090, 304187479491947692908049344443616543393], 'label': '787500000.b.70._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052237
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [9429819583729708518166911132915584406393, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 816576, 10306563309554121182761005838862493821490, 18315078415603668334411777209600, 183159163446850439423918703769024], 'label': '787500000.b.700._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052238
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [409050, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 9733990608386404061117397429409664406393, 304187470334003898796378553942925312064, 183159163446850439423918703769050, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052239
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1451616, 183159163446850439423918703768993, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052240
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [64, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 218526211421809247242093167769050, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052241
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [1451553, 45789790052365020519955632869760, 183159163446850439423918703769056, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052242
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [183159163446850439423918703768960, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 1209600, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052243
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [45789790052365020519955632869760, 911748349975248082029410412134400000064, 9157944981056567705893155121920, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 816576, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600, 183159163446850439423918703769024], 'label': '787500000.b.700._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052244
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [409050, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 183159163446850439423918703769050, 187769836800, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052245
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [9157944981056567705893155121920, 18315078415603668334411777209600, 187769836800, 469639704993, 45789790052365020519955632869760, 911748349975248082029410412134400000064, 10306563309554121182761005838862493821490, 1451616, 304187470334003898796378553942925312064, 192317112420893472765008948267520, 183159163446850439423918703768993], 'label': '787500000.b.700._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052246
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [238106895998478420717024505834296, 4249393199701132982003065460532656207486, 18315079710452506734215823360033, 911748349975248082029410412483114374400, 81156850976883331346473540783353, 8213052131926326070147143463403179901400, 93925681920, 657408332250, 9157942499262960772841472000096, 384142422343680000, 1209690], 'label': '787500000.b.700._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052247
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [11651071043205031569465600, 8213051930452083563640618688692921624960, 1180931196158418502291729854947329209600, 26584438305814267636530512609429116199, 264316001474174909888847891888696, 2481793606932957757848960, 96, 93924230496, 164809324409541079027921187069433, 238106895998478420715897457405464, 1451520, 9157942499263089197274517708896, 27439951015054247445135360000064], 'label': '787500000.b.70._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052248
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [9157942499262960772841472000096, 93925681920, 81156850976883331346473540783353, 4222808735186215821624257898866731230784, 8213052131926326070147143463403179901400, 911748349975248082029410412483114374400, 18315079710452506734215823360033, 816570, 247264031914819128278500965437496, 33, 469639704960], 'label': '787500000.b.700._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052249
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [9157942499262960772841472000096, 4222808735186215821624642041289074910784, 93925681920, 81156850976883331346473540783353, 469639705056, 8213052131926326070147143463403179901400, 384142422343680000, 18315079710452506734215823360033, 911748349975248082029410412483114374400, 816570, 247264031914819128278500965437496], 'label': '787500000.b.700._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052250
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [384142422343680033, 816570, 9157942499262960772841472000096, 18315079710452506734215823360033, 4222808735186215821624257898866731230784, 384142891983384960, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052251
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [9157942499262960772841472000096, 93925681920, 81156850976883331346473540783353, 4222808735186215821624257898866731230784, 384142422343680064, 8213052131926326070147143463403179901400, 18315079710452506734215823360033, 911748349975248082029410412483114374400, 816570, 247264031914819128278500965437496, 486580871275032960], 'label': '787500000.b.700._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052252
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [128424553972248960, 816570, 9157942499262960772841472000096, 18315079710452506734215823360033, 4222808735186215821624257898866731230784, 384142422343680090, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052253
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [816570, 256806792725016960, 9157942499262960772841472000096, 18315079710452506734215823360033, 4222808735186215821624257898866731230784, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 384142422343680096, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052254
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [10333147774069030026979085059344283367039, 45789790052365020519955632869760, 183159163446850439423918703768960, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 1209600, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052255
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1451553, 45789790052365020519955632869760, 183159163446850439423918703769056, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 26584464514908844217821235944098665606, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052256
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [183159163446850439423918703768960, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 26584464514908844217821235944098665606, 304187470334003898796378553942925312064, 187769836800, 1209600, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052257
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [45789790052365020519955632869760, 911748349975248082029410412134400000064, 9157944981056567705893155121920, 192317112420893472765008948267520, 26584464514908844217821235944098665606, 304187470334003898796378553942925312064, 187769836800, 816576, 10306563309554121182761005838862493821490, 18315078415603668334411777209600, 183159163446850439423918703769024], 'label': '787500000.b.700._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052258
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [9157942499262960773190185981370, 9157944438164600331824833758810, 816570, 26584446232902810220371270216880070399, 348713573760, 1825126249005850234016638242589943064960, 1180931231525467020143375770456651384416, 2481793606932957757440096], 'label': '787500000.b.70._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052259
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [409050, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 26584464514908844217821235944098665606, 304187470334003898796378553942925312064, 183159163446850439423918703769050, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052260
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1451616, 183159163446850439423918703768993, 10333147774069030026979085059344283367039, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052261
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [64, 10333147774069030026979085059344283367039, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 218526211421809247242093167769050, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052262
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1451553, 10333147774069030026979085059344283367039, 45789790052365020519955632869760, 183159163446850439423918703769056, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052263
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1451616, 183159163446850439423918703768993, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 26584464514908844217821235754674504935, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052264
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [10333147774069030026979085059344283367039, 45789790052365020519955632869760, 911748349975248082029410412134400000064, 9157944981056567705893155121920, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 816576, 10306563309554121182761005838862493821490, 18315078415603668334411777209600, 183159163446850439423918703769024], 'label': '787500000.b.700._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052265
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [409050, 10333147774069030026979085059344283367039, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 183159163446850439423918703769050, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052266
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1451616, 183159163446850439423918703768993, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 10028960303735026128182963311535019206399, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052267
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [64, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 10028960303735026128182963311535019206399, 304187470334003898796378553942925312064, 187769836800, 218526211421809247242093167769050, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052268
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1451553, 45789790052365020519955632869760, 183159163446850439423918703769056, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 10028960303735026128182963311535019206399, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052269
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [8213051930452083563640618688692921624960, 1180931196158418502291729854947329209600, 26584438305814267636530512609429116199, 264316001474174909888847891888696, 2481793606932957757848960, 96, 93924230496, 26584438305803368521974190327759484199, 164809324409541079027921187069433, 238106895998478420715897457405464, 1451520, 9157942499263089197274517708896, 27439951015054247445135360000064], 'label': '787500000.b.70._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052270
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [183159163446850439423918703768960, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 10028960303735026128182963311535019206399, 304187470334003898796378553942925312064, 187769836800, 1209600, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052271
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [45789790052365020519955632869760, 911748349975248082029410412134400000064, 9157944981056567705893155121920, 192317112420893472765008948267520, 10028960303735026128182963311535019206399, 304187470334003898796378553942925312064, 187769836800, 816576, 10306563309554121182761005838862493821490, 18315078415603668334411777209600, 183159163446850439423918703769024], 'label': '787500000.b.700._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052272
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [409050, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 10028960303735026128182963311535019206399, 183159163446850439423918703769050, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052273
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [64, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 26584464514908844217821235754674504935, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 218526211421809247242093167769050, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052274
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1451553, 45789790052365020519955632869760, 183159163446850439423918703769056, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 26584464514908844217821235754674504935, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052275
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [183159163446850439423918703768960, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 26584464514908844217821235754674504935, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 1209600, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052276
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [45789790052365020519955632869760, 26584464514908844217821235754674504935, 911748349975248082029410412134400000064, 9157944981056567705893155121920, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 187769836800, 816576, 10306563309554121182761005838862493821490, 18315078415603668334411777209600, 183159163446850439423918703769024], 'label': '787500000.b.700._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052277
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [409050, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 26584464514908844217821235754674504935, 192317112420893472765008948267520, 304187470334003898796378553942925312064, 183159163446850439423918703769050, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052278
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [1451616, 183159163446850439423918703768993, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 26584464514908844217821235944098665606, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052279
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 175, 'diagramx': None, 'generators': [64, 45789790052365020519955632869760, 9157944981056567705893155121920, 911748349975248082029410412134400000064, 192317112420893472765008948267520, 26584464514908844217821235944098665606, 304187470334003898796378553942925312064, 187769836800, 218526211421809247242093167769050, 10306563309554121182761005838862493821490, 18315078415603668334411777209600], 'label': '787500000.b.700._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052347
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [9157942499262960773121688344960, 486580401635328096, 90, 816480, 3346064963572022172782639602159625856064, 187769836800, 2481793606933051681670400, 304187479491947045534976805051313439450, 1825126175708274116262038061142333048410], 'label': '787500000.b.84._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052280
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [304187479491948879853073595935339395864, 9157942499262960773190185981370, 96, 26584438305803368521974190072969098183, 9125632240342337875351251005298174361050, 816570, 9429819721099081912651687910616045029793, 18315078415604052476834120889696, 348713573760, 608358513305779152199371584840598115744, 6995503318101430053434109095644107005496, 9733990773195730952451157292403969865560, 1294848838399804047360000], 'label': '787500000.b.70._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052281
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [187769836800, 18315078415603668334411777209600, 469639705056, 304187470334003898796378553942925312064, 1451553, 911748349975248082029410412134400000064, 10306563309554121182761263823400184701433, 9157944981056567705893155121920, 10306563309554121182761005838862493821490, 26584464514908844217821235754674504935, 183159163446850439423918703769056], 'label': '787500000.b.700._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052282
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [384142422343680033, 816570, 9157942499262960772841472000096, 18315079710452506734215823360033, 4222808735186215821624257898866731230784, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 26584473672866774834250106845154400543, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052283
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [816570, 384142422343680064, 9157942499262960772841472000096, 18315079710452506734215823360033, 4222808735186215821624257898866731230784, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 26584473672866774834250106845154400543, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052284
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [816570, 9157942499262960772841472000096, 18315079710452506734215823360033, 4222808735186215821624257898866731230784, 384142422343680090, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 26584473672866774834250106845154400543, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052285
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [816570, 9157942499262960772841472000096, 18315079710452506734215823360033, 4222808735186215821624257898866731230784, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 26584473672866774834250106845154400543, 384142422343680096, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052286
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [238106895998478420717024505834296, 18315079710452506734215823360033, 911748349975248082029410412483114374400, 81156850976883331346473540783353, 8213052131926326070147143463403179901400, 93925681920, 9157942499262960772841472000096, 384142422343680000, 1209690, 4222808770553263796583449859555986219584, 26584473672866774834250106845154400543], 'label': '787500000.b.700._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052287
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [26584473672866774834250107314793289023, 816570, 9157942499262960772841472000096, 18315079710452506734215823360033, 4222808735186215821624257898866731230784, 33, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052288
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [26584473672866774834250107314793289023, 816570, 9157942499262960772841472000096, 18315079710452506734215823360033, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 384142422343680000, 4222808735186215821624642041289074910784, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052289
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [26584473672866774834250107314793289023, 384142422343680033, 816570, 9157942499262960772841472000096, 18315079710452506734215823360033, 4222808735186215821624257898866731230784, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052290
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [26584473672866774834250107314793289023, 816570, 384142422343680064, 9157942499262960772841472000096, 18315079710452506734215823360033, 4222808735186215821624257898866731230784, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052291
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': '5.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [3346065009361814815164433492878382230450, 647475510142167658166913, 35367047974958936242258797995553, 1180931196158416563390474438668005440064, 348713573760, 128424433046117856, 1547523116240124405251483042740824809549, 26584438305803368521974190072969098279, 816570], 'label': '787500000.b.5.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052292
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [9157942499262960773121688344960, 486580401635328096, 90, 7291270399918383645719886259562414667623, 2129297172925029647753809975110173568090, 26584438305803368521974190072969098183, 816480, 187769836800, 2481793606933051681670400, 304187479491947045534976805051313439450], 'label': '787500000.b.84._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052293
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [26584473672866774834250107314793289023, 816570, 9157942499262960772841472000096, 18315079710452506734215823360033, 4222808735186215821624257898866731230784, 384142422343680090, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052294
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [26584473672866774834250107314793289023, 816570, 9157942499262960772841472000096, 18315079710452506734215823360033, 4222808735186215821624257898866731230784, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 384142422343680096, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052295
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [9157942499262960772841472000096, 93925681920, 81156850976883331346473540783353, 1209690, 26584473672866774834250107314793289023, 4222808744344158320887602814036702513984, 8213052131926326070147143463403179901400, 384142422343680000, 18315079710452506734215823360033, 911748349975248082029410412483114374400, 238106895998478420717024505834296], 'label': '787500000.b.700._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052296
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [183159163446850439423918703769056, 26584464514908844217821235754674504935, 911748349975248082029410412134400000064, 469639705056, 18315080354504923750972793443776, 27439952309903085845219624112544, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052297
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [35367048622434317960596910693824, 183159163446850439423918703769056, 26584464514908844217821235754674504935, 911748349975248082029410412134400000064, 469639705056, 9157944981056567705893154880096, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052298
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [18315080354504923750972793836864, 187769836800, 27439952309903085845219623705056, 18315078415603668334411777209600, 469639705056, 304187470334003898796378553942925312064, 911748349975248082029410412134400000064, 10306563309554121182761263823400184701433, 10306563309554121182761005838862493821490, 26584464514908844217821235754674504935, 183159163446850439423918703769056], 'label': '787500000.b.700._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052299
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [1451616, 26584464514908844217821235754674504935, 27439952309903085845596816734816, 911748349975248082029410412134400000064, 18315080354504923750972793836864, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 201474243157302946158414744107616, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052300
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [183159163446850439423918703769056, 9157944981056567705893155121984, 26584464514908844217821235754674504935, 911748349975248082029410412134400000064, 35367048622434317960596910284896, 469639705056, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052301
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [64, 1451616, 183159163446850439423918703769056, 26584464514908844217821235754674504935, 911748349975248082029410412134400000064, 469639705056, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052302
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [238106895998478420717024505834296, 4222808735186215821624642041289074910784, 18315079710452506734215823360033, 911748349975248082029410412483114374400, 81156850976883331346473540783353, 8213052131926326070147143463403179901400, 93925681920, 657408332250, 9157942499262960772841472000096, 384142422343680000, 1209690], 'label': '787500000.b.700._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052303
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [9157942499262960773121688344960, 486580401635328096, 90, 7291270399918383645721272951461777481119, 2129297172925029647753809975110173568090, 816480, 26584438305803368524387151824349447589, 187769836800, 2481793606933051681670400, 304187479491947045534976805051313439450], 'label': '787500000.b.84._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052304
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [9157942499262960772841472000096, 4249393208859075481266026233305630978686, 93925681920, 81156850976883331346473540783353, 4222808735186215821624257898088398979864, 8213052131926326070147143463403179901400, 911748349975248082029410412483114374400, 18315079710452506734215823360033, 816570, 247264031914819128278500965437496, 33], 'label': '787500000.b.700._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052305
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [9157942499262960772841472000096, 4249393208859075481266026233305630978686, 93925681920, 81156850976883331346473540783353, 4222808735186215821624642040510742266744, 8213052131926326070147143463403179901400, 384142422343680000, 18315079710452506734215823360033, 911748349975248082029410412483114374400, 816570, 247264031914819128278500965437496], 'label': '787500000.b.700._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052306
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [4222808735186215821624642040510742659864, 4249393208859075481266026233305630978686, 18315079710452506734215823360033, 911748349975248082029410412483114374400, 816570, 81156850976883331346473540783353, 8213052131926326070147143463403179901400, 93925681920, 9157942499262960772841472000096, 384142422343680033, 247264031914819128278500965437496], 'label': '787500000.b.700._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052307
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [9157942499262960772841472000096, 4249393208859075481266026233305630978686, 93925681920, 81156850976883331346473540783353, 4222808735186215821624744478490034307864, 384142422343680064, 8213052131926326070147143463403179901400, 911748349975248082029410412483114374400, 18315079710452506734215823360033, 816570, 247264031914819128278500965437496], 'label': '787500000.b.700._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052308
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [4249393208859075481266026233305630978686, 4222808735186215821624386322172731523864, 18315079710452506734215823360033, 911748349975248082029410412483114374400, 816570, 81156850976883331346473540783353, 8213052131926326070147143463403179901400, 93925681920, 9157942499262960772841472000096, 384142422343680090, 247264031914819128278500965437496], 'label': '787500000.b.700._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052309
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [9157942499262960772841472000096, 4249393208859075481266026233305630978686, 93925681920, 81156850976883331346473540783353, 384142422343680096, 8213052131926326070147143463403179901400, 911748349975248082029410412483114374400, 18315079710452506734215823360033, 816570, 247264031914819128278500965437496, 4222808735186215821624514704411484291864], 'label': '787500000.b.700._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052310
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [9157942499262960772841472000096, 93925681920, 81156850976883331346473540783353, 1209690, 4222808735186215821624642040510742659864, 8213052131926326070147143463403179901400, 4249393199701132982003065460532656207486, 384142422343680000, 911748349975248082029410412483114374400, 18315079710452506734215823360033, 238106895998478420717024505834296], 'label': '787500000.b.700._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052311
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [9157942499262960772841472000096, 4249393208859075481266026233305630978686, 93925681920, 81156850976883331346473540783353, 8213052131926326070147143463403179901400, 911748349975248082029410412483114374400, 18315079710452506734215823360033, 816570, 247264031914819128278500965437496, 33, 469639704960], 'label': '787500000.b.700._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052312
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [4249393208859075481266026233305630978686, 18315079710452506734215823360033, 911748349975248082029410412483114374400, 469639705056, 816570, 81156850976883331346473540783353, 8213052131926326070147143463403179901400, 93925681920, 9157942499262960772841472000096, 384142422343680000, 247264031914819128278500965437496], 'label': '787500000.b.700._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052313
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [384142422343680033, 816570, 9157942499262960772841472000096, 4249393208859075481266026233305630978686, 18315079710452506734215823360033, 384142891983384960, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052314
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [2054805434077565496, 9157942499262960773121688344960, 486580401635328096, 6387942263228116793339710032719521516800, 90, 2129297172925029647753809975110173568090, 816480, 187769836800, 2481793606933051681670400, 304187479491947045534976805051313439450], 'label': '787500000.b.84._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052315
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [9157942499262960772841472000096, 4249393208859075481266026233305630978686, 93925681920, 81156850976883331346473540783353, 384142422343680064, 8213052131926326070147143463403179901400, 18315079710452506734215823360033, 911748349975248082029410412483114374400, 816570, 247264031914819128278500965437496, 486580871275032960], 'label': '787500000.b.700._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052316
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [128424553972248960, 816570, 9157942499262960772841472000096, 4249393208859075481266026233305630978686, 18315079710452506734215823360033, 384142422343680090, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052317
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [9157942499262960772841472000096, 4249393208859075481266026233305630978686, 93925681920, 81156850976883331346473540783353, 384142422343680096, 256806792725016960, 8213052131926326070147143463403179901400, 18315079710452506734215823360033, 911748349975248082029410412483114374400, 816570, 247264031914819128278500965437496], 'label': '787500000.b.700._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052318
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [816570, 9157942499262960772841472000096, 18315079710452506734215823360033, 4222808735186215821624257898866731230784, 33, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 26584473672866774834250106845154400543, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052319
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [816570, 9157942499262960772841472000096, 4222808735186215821624257898088398979864, 18315079710452506734215823360033, 33, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 26584473672866774834250106845154400543, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052320
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [9157942499262960772841472000096, 93925681920, 81156850976883331346473540783353, 4222808735186215821624642040510742266744, 8213052131926326070147143463403179901400, 384142422343680000, 26584473672866774834250106845154400543, 18315079710452506734215823360033, 911748349975248082029410412483114374400, 816570, 247264031914819128278500965437496], 'label': '787500000.b.700._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052321
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [384142422343680033, 816570, 9157942499262960772841472000096, 4222808735186215821624642040510742659864, 18315079710452506734215823360033, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 26584473672866774834250106845154400543, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052322
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [9157942499262960772841472000096, 93925681920, 81156850976883331346473540783353, 4222808735186215821624744478490034307864, 384142422343680064, 8213052131926326070147143463403179901400, 26584473672866774834250106845154400543, 18315079710452506734215823360033, 911748349975248082029410412483114374400, 816570, 247264031914819128278500965437496], 'label': '787500000.b.700._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052323
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [816570, 9157942499262960772841472000096, 4222808735186215821624386322172731523864, 18315079710452506734215823360033, 384142422343680090, 8213052131926326070147143463403179901400, 81156850976883331346473540783353, 26584473672866774834250106845154400543, 93925681920, 247264031914819128278500965437496, 911748349975248082029410412483114374400], 'label': '787500000.b.700._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052324
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [9157942499262960772841472000096, 93925681920, 81156850976883331346473540783353, 384142422343680096, 8213052131926326070147143463403179901400, 26584473672866774834250106845154400543, 911748349975248082029410412483114374400, 18315079710452506734215823360033, 816570, 247264031914819128278500965437496, 4222808735186215821624514704411484291864], 'label': '787500000.b.700._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052325
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [4249393127702238745368585296783794442279, 9157942499262960773121688344960, 486580401635328096, 90, 2728454329450510527999253120505887046366, 816480, 187769836800, 2481793606933051681670400, 304187479491947045534976805051313439450], 'label': '787500000.b.84._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052326
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [238106895998478420717024505834296, 4222808735186215821624642040510742659864, 18315079710452506734215823360033, 911748349975248082029410412483114374400, 81156850976883331346473540783353, 8213052131926326070147143463403179901400, 93925681920, 9157942499262960772841472000096, 384142422343680000, 1209690, 26584473672864835932994690471905599903], 'label': '787500000.b.700._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052327
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 350, 'diagramx': None, 'generators': [9157942499262960772841472000096, 4222808735186215821624642041289074910784, 93925681920, 81156850976883331346473540783353, 8213052131926326070147143463403179901400, 384142422343680000, 26584473672866774834250106845154400543, 18315079710452506734215823360033, 911748349975248082029410412483114374400, 816570, 247264031914819128278500965437496], 'label': '787500000.b.700._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052328
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 700, 'diagramx': None, 'generators': [210599116400805942285615081196896, 9157944981056567705893155121984, 26584464514908844217821235754674504935, 911748349975248082029410412134400000064, 18315080354504923751534880441696, 18315080354504923750972793443776, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052329
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 700, 'diagramx': None, 'generators': [18315078415603668334411777209600, 26584464514908844217821235754674504935, 187769836800, 911748349975248082029410412134400000064, 10306563309554121182761005838862493821490, 27439952309903085845596816734816, 10306563309554121182761263823400184701433, 304187470334003898796378553942925312064, 27439952309903085845219623705056, 35367048622434317960596910693824, 201474243157302946158414744107616], 'label': '787500000.b.700._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052330
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 700, 'diagramx': None, 'generators': [35367048622434317960811760646496, 1451616, 192317106593588910339182621644896, 9157944981056567705893155121984, 26584464514908844217821235754674504935, 911748349975248082029410412134400000064, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052331
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 700, 'diagramx': None, 'generators': [64, 35367048622434317960811760646496, 192317106593588910339182621644896, 26584464514908844217821235754674504935, 911748349975248082029410412134400000064, 9157944981056567705893154880096, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052332
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 700, 'diagramx': None, 'generators': [210599116400805942285615081196896, 35367048622434317960596910693824, 26584464514908844217821235754674504935, 911748349975248082029410412134400000064, 35367048622434317960596910284896, 18315080354504923751534880441696, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052333
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 700, 'diagramx': None, 'generators': [192317106593588910339182621644896, 187769836800, 27439952309903085845219624112544, 35367048622434317960811760646496, 27439952309903085845219623705056, 18315078415603668334411777209600, 304187470334003898796378553942925312064, 911748349975248082029410412134400000064, 10306563309554121182761263823400184701433, 10306563309554121182761005838862493821490, 26584464514908844217821235754674504935], 'label': '787500000.b.700._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052334
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 700, 'diagramx': None, 'generators': [26584464514908844217821235754674504935, 27439952309903085845596816734816, 911748349975248082029410412134400000064, 35367048622434317960596910284896, 27439952309903085845219624112544, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 201474243157302946158414744107616, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052335
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 700, 'diagramx': None, 'generators': [210599116400805942285615081196896, 26584464514908844217821235754674504935, 911748349975248082029410412134400000064, 18315080354504923750972793836864, 18315080354504923751534880441696, 9157944981056567705893154880096, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052336
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [2728454329450510527997455121394894792935, 9157942499262960773121688344960, 486580401635328096, 90, 4249393127702238745368070505923018250246, 816480, 187769836800, 2481793606933051681670400, 304187479491947045534976805051313439450], 'label': '787500000.b.84._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052337
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 700, 'diagramx': None, 'generators': [187769836800, 1451616, 218526213903602854175144849846976, 35367048622434317960596910693824, 18315078415603668334411777209600, 304187470334003898796378553942925312064, 911748349975248082029410412134400000064, 10306563309554121182761263823400184701433, 9157944981056567706617582717376, 10306563309554121182761005838862493821490, 26584464514908844217821235754674504935], 'label': '787500000.b.700._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052338
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 700, 'diagramx': None, 'generators': [26584464514908844217821235754674504935, 911748349975248082029410412134400000064, 9157944981056567706617582717376, 9157944981056567705893154880096, 27439952309903085845219624112544, 218526213903602854175144849846976, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052339
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 700, 'diagramx': None, 'generators': [35367048622434317960811760646496, 192317106593588910339182621644896, 26584464514908844217821235754674504935, 911748349975248082029410412134400000064, 35367048622434317960596910284896, 18315080354504923750972793836864, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052340
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 700, 'diagramx': None, 'generators': [35367048622434317960811760646496, 35367048622434317960596910693824, 192317106593588910339182621644896, 26584464514908844217821235754674504935, 911748349975248082029410412134400000064, 18315080354504923750972793443776, 304187470334003898796378553942925312064, 187769836800, 10306563309554121182761005838862493821490, 10306563309554121182761263823400184701433, 18315078415603668334411777209600], 'label': '787500000.b.700._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '700.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '700._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052341
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [26584455357772927877113674090446032583, 816570, 2481793735357322305920064, 1451520, 9157943146738599338999538873696, 348713164833, 8213052057398720708126826008977358083800, 2481793606932957757440033, 1180931196158418502291729855227545387553], 'label': '787500000.b.720._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '720.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '720._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052342
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [816570, 26584611042228518248370088256997961086, 2481793735357322305920064, 1451520, 9157943146738599338999538873696, 348713164833, 8213052057398720708126826008977358083800, 2481793606932957757440033, 1180931196158418502291729855227545387553], 'label': '787500000.b.720._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '720.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '720._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052343
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [816570, 2481793735357322305920064, 1451520, 9157943146738599338999538873696, 348713164833, 8213052057398720708126826008977358083800, 2481793606932957757440033, 172736427088628035457073545347864, 1180931196158418502291729855227545387553], 'label': '787500000.b.720._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '720.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '720._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052344
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [18315079063079665057167360384000, 5171174592898524221998512798661510571553, 90, 2701869909459789568065385168347534385984, 1451616, 608358513305779152199371584840597299200, 128424433045708800, 2481794093513547161395200], 'label': '787500000.b.840._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052348
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [608358513305779152199371584840597299200, 93925046880, 93924639393, 18315079063079665057167360384000, 128424433045708800, 2701869909459792049858992101305291190913, 5171174592898524221998512798755433759393, 2481794093513547161395200], 'label': '787500000.b.840._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052349
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [187770078784, 18315079063079665057167360384000, 2701869909459792049858992101305291190880, 5171174592898524221998512798755433759424, 187769836890, 608358513305779152199371584840597299200, 128424433045708800, 2481794093513547161395200], 'label': '787500000.b.840._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052350
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [18315079063079665057167360384000, 280215936000, 5171174592898524221998512798755433759456, 2701869909459792049858992101305291190970, 280216345056, 608358513305779152199371584840597299200, 128424433045708800, 2481794093513547161395200], 'label': '787500000.b.840._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052351
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [18315079063079665057167360384000, 5171174592898524221998512798755433759360, 348714374433, 348713981344, 2701869909459792049858992101305291190944, 608358513305779152199371584840597299200, 128424433045708800, 2481794093513547161395200], 'label': '787500000.b.840._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052352
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [64, 35367047974958807818174464000033, 1451553, 384142610112307200, 93924230400, 183159163446850439424482270383384, 18315079063079178476485510571610, 304187470334003898796121747968553164800, 26584455357772927877343447982707430943, 3496953], 'label': '787500000.b.840._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052353
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [183159163446850439424482270383384, 18315079063079178476485510571610, 35367047974958807818174464000033, 192317118140076794918845892352000, 264316013125245310966731657366424, 1451553, 64, 304187470334003898796121747968553164800, 384142610112307200, 93924230400], 'label': '787500000.b.840._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052354
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [18315079063079178476485510571610, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 192317118140076794918845892352000, 264316013125245310966731657366424, 1451553, 64, 304187470334003898796121747968553164800, 384142610112307200, 93924230400], 'label': '787500000.b.840._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052355
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [35367049913860549814949347737050, 1520938696249398909441209813036739169080, 647475766948396819248480, 911748349975249376878505618261532672090, 280215936000, 2432687266016474829406869785409253596120, 384142422344889696, 816570], 'label': '787500000.b.840._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052356
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [18315079063079665057167360384000, 280215936000, 90, 2701869909459791506966640584720780934490, 608358513305779152199371584840597299200, 128424433045708800, 5171174592898524221998512798941725056064, 2481794093513547161395200], 'label': '787500000.b.840._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052357
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [187770078784, 18315079063079665057167360384000, 5171174592898524221998512798755433759456, 348713981344, 2701869909459792049858992101305291190944, 608358513305779152199371584840597299200, 128424433045708800, 2481794093513547161395200], 'label': '787500000.b.840._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052358
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21, 'diagramx': None, 'generators': [9157942499262960773121688344960, 486580401635328096, 90, 1825126175708274116264091778591336437784, 816480, 187769836800, 2481793606933051681670400, 3346064963572022172783384167098952064033, 304187479491947045534976805051313439450], 'label': '787500000.b.84._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052359
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [608358513305779152199371584840597299200, 18315079063079665057167360384000, 128424433045708800, 90, 2701869909459792049858992101305291190880, 5171174592898524221998512799010223101376, 2481794093513547161395200, 348713981344], 'label': '787500000.b.840._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052360
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [608358513305779152199371584840597299200, 280216345056, 1451616, 18315079063079665057167360384000, 128424433045708800, 2701869909459792049858992101305291190913, 5171174592898524221998512798755433759424, 2481794093513547161395200], 'label': '787500000.b.840._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052361
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [18315079063079665057167360384000, 2701869909459792049858992101305291190880, 348714374433, 1451616, 5171174592898524221998512798755433759450, 608358513305779152199371584840597299200, 128424433045708800, 2481794093513547161395200], 'label': '787500000.b.840._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052362
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [608358513305779152199371584840597299200, 18315079063079665057167360384000, 128424433045708800, 348714374490, 1451584, 2701869909459792049858992101305291190880, 5171174592898524221998512798755433759456, 2481794093513547161395200], 'label': '787500000.b.840._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052363
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [18315079063079665057167360384000, 348714374490, 90, 5171174592898524221998512798755434166976, 2701869909459792049858992101305291584033, 608358513305779152199371584840597299200, 128424433045708800, 2481794093513547161395200], 'label': '787500000.b.840._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052364
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [93924639393, 18315079063079665057167360384000, 348714374433, 2701869909459792049858992101305291190970, 5171174592898524221998512798755433759393, 608358513305779152199371584840597299200, 128424433045708800, 2481794093513547161395200], 'label': '787500000.b.840._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052365
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [608358513305779152199371584840597299200, 93924639393, 18315079063079665057167360384000, 128424433045708800, 90, 2701869909459790215540895310421266463456, 5171174592898524221998512798755433759450, 2481794093513547161395200], 'label': '787500000.b.840._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052366
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [18315079063079665057167360384000, 5171174592898524221998512798755433759360, 280216345056, 2701869909459792049858992101305291190976, 187769836890, 608358513305779152199371584840597299200, 128424433045708800, 2481794093513547161395200], 'label': '787500000.b.840._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052367
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [18315079063079665057167360384000, 2701869909459790862914223568151581504033, 90, 5171174592898524221998512798849278956800, 187769836890, 608358513305779152199371584840597299200, 128424433045708800, 2481794093513547161395200], 'label': '787500000.b.840._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052368
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [18315079063079665057167360384000, 280215936000, 348714374433, 2701869909459792049858992101305291190976, 5171174592898524221998512798755433759424, 608358513305779152199371584840597299200, 128424433045708800, 2481794093513547161395200], 'label': '787500000.b.840._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052369
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [8812209242662027908683501980558963526309, 4858583491028354603318137305550956631015, 911748359133190581292755327492140726880, 35367047974959064624846263928353, 1938901255416373248000000, 26584438305803368521974190072969098183, 816570, 33, 486580401635328033, 348713164833], 'label': '787500000.b.84._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052370
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [64, 35367049913860549814949347737050, 1520938696249398909441209812848970541880, 911748377415201035985297416065352889690, 647475766948396819248480, 2432687266016474829406869785221484968920, 384142422344889696, 816570], 'label': '787500000.b.840._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052371
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [35367049913860549814949347737050, 2432687246435783777959294406367922892193, 911748377415201035985297416414066054490, 1520938696249398909441209812848970541880, 647475766948396819248480, 384142422344889696, 816570, 608358513305779152199371584652829488480], 'label': '787500000.b.840._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052372
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [35367049913860549814949347737050, 911748377415201035985297416253121516890, 1520938696249398909441209812848970541880, 647475766948396819248480, 1180931231525467020143375770107938219520, 4222808770553268332460855420192689463064, 384142422344889696, 816570], 'label': '787500000.b.840._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052373
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [35367049913860549814949347737050, 911748377415201035985297416345568825690, 1520938696249398909441209812848970541880, 647475766948396819248480, 2432687266016474829406869785221484968920, 384142422344889696, 816570, 304187479491947045534721086619378072960], 'label': '787500000.b.840._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052374
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [35367049913860549814949347737050, 1520938696249398909441209812848970541880, 647475766948396819248480, 348713164864, 911748349975249376878505618261532672090, 2129297356084184680924077287027453625696, 384142422344889696, 816570], 'label': '787500000.b.840._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052375
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [18315079063079178476485510571610, 35367047974958807818174464000033, 192317118140076794918845892352000, 264316013125245310966731657366424, 1451553, 5743747413120538912438976968787170216984, 64, 304187470334003898796121747968553164800, 384142610112307200, 93924230400], 'label': '787500000.b.840._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052376
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [18315079063079178476485510571610, 264316013125246209900108699423424, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 1451553, 64, 81156839966225083753684994045490, 304187470334003898796121747968553164800, 384142610112307200, 93924230400], 'label': '787500000.b.840._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052377
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [18315079063079178476485510571610, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 898933377047599353, 1451553, 64, 81156839966225083753684994045490, 304187470334003898796121747968553164800, 384142610112307200, 93924230400], 'label': '787500000.b.840._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052378
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [18315079063079178476485510571610, 192317118140077693852222936454400, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 264316013125245310966731657366424, 1451553, 64, 304187470334003898796121747968553164800, 384142610112307200, 93924230400], 'label': '787500000.b.840._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052379
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [898933377044102400, 18315079063079178476485510571610, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 264316013125245310966731657366424, 1451553, 64, 304187470334003898796121747968553164800, 384142610112307200, 93924230400], 'label': '787500000.b.840._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052380
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [816570, 35367047974959064624846263928353, 33, 348713164833, 6987083121868419030613316451053632962509, 911748359133190581292755327492140726880, 1938901255416373248000000, 2728454329450508046204618739573953811166, 486580401635328033], 'label': '787500000.b.84._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052381
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [64, 35367047974958807818174464000033, 1451553, 26584675181865374130108860327090255519, 5743747275751165517954044644407378688000, 898933377044102400, 384142610112307200, 93924230400, 18315079063079178476485510571610, 304187470334003898796121747968553164800], 'label': '787500000.b.840._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052382
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [64, 35367047974958807818174464000033, 264316013125246209900108701468824, 1451553, 26584675181865374130108860327090255519, 5743747275751165517954044644407378688000, 384142610112307200, 93924230400, 18315079063079178476485510571610, 304187470334003898796121747968553164800], 'label': '787500000.b.840._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052383
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [64, 35367047974958807818174464000033, 264316013125246209900108701468824, 1451553, 5743747275751165517954044644407378688000, 384142610112307200, 93924230400, 18315079063079178476485510571610, 304187470334003898796121747968553164800, 26584455357772927877343447982704584935], 'label': '787500000.b.840._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052384
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [64, 35367047974958807818174464000033, 1451553, 5743747275751165517954044644407378688000, 26584675181865374130108860327087574989, 384142610112307200, 93924230400, 18315079063079178476485510571610, 304187470334003898796121747968553164800, 81156839966225083753684994045490], 'label': '787500000.b.840._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052385
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [64, 35367047974958807818174464000033, 1451553, 5743747275751165517954044644407378688000, 384142610112307200, 93924230400, 18315079063079178476485510571610, 304187470334003898796121747968553164800, 26584455357772927877343447982707430943, 81156839966225083753684994045490], 'label': '787500000.b.840._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052386
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [26584647674084485031885155557428936935, 18315079063079178476485510571610, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 264316013125245310966731657366424, 1451553, 64, 304187470334003898796121747968553164800, 384142610112307200, 93924230400], 'label': '787500000.b.840._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052387
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [18315079063079178476485510571610, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 264316013125245310966731657366424, 1451553, 64, 304187470334003898796121747968553164800, 26584455357772927877343447982704584935, 384142610112307200, 93924230400], 'label': '787500000.b.840._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052388
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [64, 18315079063079665056887144448090, 2129297282819688710979100355182233725433, 486580401636537690, 2481793735357042089984000, 238106899883344030221272722710456, 7908880941162441823055528973863725355553, 348713164800, 409056, 608358494990701923540343401156011193600], 'label': '787500000.b.840._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052389
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [18315079063079178476485510571610, 264316013125245310966731655321024, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 1451553, 64, 81156839966225083753684994045490, 304187470334003898796121747968553164800, 384142610112307200, 93924230400], 'label': '787500000.b.840._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052390
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [64, 35367047974958807818174464000033, 1451553, 5743747275751165517954044644407378688000, 384142610112307200, 93924230400, 18315079063079178476485510571610, 304187470334003898796121747968553164800, 81156839966225083753684994045490, 3496953], 'label': '787500000.b.840._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052391
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42, 'diagramx': None, 'generators': [816570, 35367047974959064624846263928353, 33, 348713164833, 911748359133190581292755327492140726880, 1938901255416373248000000, 1825126175708273468787041663721386536984, 486580401635328033, 6692113463116882060624992926984316126816], 'label': '787500000.b.84._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052392
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [18315079063079178476485510571610, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 264316013125245310966731657366424, 1451553, 64, 304187470334003898796121747968553164800, 384142610112307200, 26584647674084485032784088840548808935, 93924230400], 'label': '787500000.b.840._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052393
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [18315079063079178476485510571610, 26584455357772927878242381265824456935, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 264316013125245310966731657366424, 1451553, 64, 304187470334003898796121747968553164800, 384142610112307200, 93924230400], 'label': '787500000.b.840._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052394
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [18315079063079178476485510571610, 26584675181865374131007793610207446989, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 1451553, 64, 81156839966225083753684994045490, 304187470334003898796121747968553164800, 384142610112307200, 93924230400], 'label': '787500000.b.840._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052395
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [64, 35367047974958807818174464000033, 1451553, 5743747275751165517954044644407378688000, 384142610112307200, 93924230400, 26584455357772927878242381265827302943, 18315079063079178476485510571610, 304187470334003898796121747968553164800, 81156839966225083753684994045490], 'label': '787500000.b.840._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052396
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 140, 'diagramx': None, 'generators': [64, 7900460765740147966684332893203432860806, 18315079063079665056887144448090, 2129297282819688710979100355182233725433, 486580401636537690, 26584455357773470769567628560402723879, 2481793735357042089984000, 348713164800, 409056, 608358494990701923540343401156011193600], 'label': '787500000.b.840._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052397
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [64, 35367047974958807818174464000033, 1451553, 5743747275751165517954044644407378688000, 384142610112307200, 93924230400, 18315079063079178476485510571610, 304187470334003898796121747968553164800, 26584455357772927877343447982707430943, 3496953], 'label': '787500000.b.840._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052398
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [64, 35367047974958807818174464000033, 1451553, 898933377044102400, 384142610112307200, 93924230400, 183159163446850439424482270383384, 18315079063079178476485510571610, 304187470334003898796121747968553164800, 3496953], 'label': '787500000.b.840._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052399
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [81156839966225982687062038147890, 3496953, 18315079063079178476485510571610, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 1451553, 64, 304187470334003898796121747968553164800, 384142610112307200, 93924230400], 'label': '787500000.b.840._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052400
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [64, 35367047974958807818174464000033, 1451553, 898933377047599353, 384142610112307200, 93924230400, 183159163446850439424482270383384, 18315079063079178476485510571610, 304187470334003898796121747968553164800, 26584455357772927877343447982707430943], 'label': '787500000.b.840._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052401
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [18315079063079178476485510571610, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 898933377047599353, 1451553, 64, 304187470334003898796121747968553164800, 26584492022692215109881647280424904903, 384142610112307200, 93924230400], 'label': '787500000.b.840._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052402
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': '7.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [304187479491947045534721086713302303393, 96, 9157943146738470914915206571616, 35367047974958936242258797995553, 2120095817407842825383809241893215568679, 348713573760, 26584438305803368521974190072969098183, 9157942499262960773190185981370, 5171174528793655106555854863751515179553, 816570], 'label': '787500000.b.7.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052403
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [64, 1938901512222696333312000, 1026269382381101880, 1209664, 128424433045708800, 109894665642588778379757423494400, 2861944, 146527319131138479040548712070400, 608358494990699441746608044113920000090, 280216752544, 26584438305805202840070981211785440639, 35367050456752543175310478214400, 8956573165797955113266016], 'label': '787500000.b.105._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052404
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [64, 35367047974958807818174464000033, 1451553, 898933377044102400, 384142610112307200, 93924230400, 183159163446850439424482270383384, 18315079063079178476485510571610, 304187470334003898796121747968553164800, 26584455357772927877343447982707430943], 'label': '787500000.b.840._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052405
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [81156839966225982687062038147890, 18315079063079178476485510571610, 26584455357772927877343447982707430943, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 1451553, 64, 304187470334003898796121747968553164800, 384142610112307200, 93924230400], 'label': '787500000.b.840._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052406
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [18315079063079178476485510571610, 81156839966225083753684992816513, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 1451553, 64, 304187470334003898796121747968553164800, 384142610112307200, 26584455357772927878242381265827302943, 93924230400], 'label': '787500000.b.840._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052407
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [64, 35367047974958807818174464000033, 1451553, 5743747275751165517954044644407378688000, 898933377044102400, 384142610112307200, 93924230400, 18315079063079178476485510571610, 304187470334003898796121747968553164800, 26584455357772927877343447982707430943], 'label': '787500000.b.840._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052408
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [64, 35367047974958807818174464000033, 1451553, 384142610112307200, 93924230400, 26584455357772927878242381265827302943, 183159163446850439424482270383384, 18315079063079178476485510571610, 304187470334003898796121747968553164800, 26584455357772927877343447982704584935], 'label': '787500000.b.840._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052409
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [26584492022692215109881647280426950303, 18315079063079178476485510571610, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 1451553, 64, 304187470334003898796121747968553164800, 384142610112307200, 26584455357772927878242381265827302943, 93924230400], 'label': '787500000.b.840._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052410
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [26584675181865374130108860327090255519, 18315079063079178476485510571610, 192317118140077693852222936454400, 35367047974958807818174464000033, 5743747275751165517954044644407378688000, 1451553, 64, 304187470334003898796121747968553164800, 384142610112307200, 93924230400], 'label': '787500000.b.840._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052411
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 210, 'diagramx': None, 'generators': [64, 35367047974958807818174464000033, 1451553, 5743747275751165517954044644407378688000, 384142610112307200, 93924230400, 26584492022692215109881647280424904903, 18315079063079178476485510571610, 304187470334003898796121747968553164800, 3496953], 'label': '787500000.b.840._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052412
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 420, 'diagramx': None, 'generators': [64, 35367047974958807818174464000033, 1451553, 384142610112307200, 93924230400, 26584455357772927878242381265827302943, 18315079063079178476485510571610, 304187470334003898796121747968553164800, 5743747413120538912438976968787170216984, 26584455357772927877343447982704584935], 'label': '787500000.b.840._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052413
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 420, 'diagramx': None, 'generators': [64, 18315079063079665056887144448090, 2129297282819688710979100355182233725433, 486580401636537690, 2481793735357042089984000, 91579594349138124462889004333976, 409056, 348713164800, 7900460938476573760461656678078006224615, 608358494990701923540343401156011193600], 'label': '787500000.b.840._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052414
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [35367050456752543175310478214400, 109894665642588778379757423494400, 128424433045708800, 608358494990699441746608044113920000090, 1209664, 146527319131138479040548712070400, 8516441785436634146464297877318905517880, 26584438305805202840070981211785440639, 2861944, 1026269382381101880, 280216752544, 64, 1938901512222696333312000], 'label': '787500000.b.105._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052415
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 420, 'diagramx': None, 'generators': [64, 7900460765740147966684332893203432860806, 18315079063079665056887144448090, 2129297282819688710979100355182233725433, 7908881107269636357923799015996315062970, 486580401636537690, 2481793735357042089984000, 348713164800, 409056, 608358494990701923540343401156011193600], 'label': '787500000.b.840._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052416
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 420, 'diagramx': None, 'generators': [64, 18315079063079665056887144448090, 2129297282819688710979100355182233725433, 7908881107269636357923799015996315062970, 486580401636537690, 2481793735357042089984000, 91579594349138124462889004333976, 409056, 348713164800, 608358494990701923540343401156011193600], 'label': '787500000.b.840._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052417
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 420, 'diagramx': None, 'generators': [128424272101580193, 647475510142353950265690, 304187497773955561325879335109149056064, 90, 26584529885393728315283241020528591429, 27439953496848238520515461529056, 93924230496, 218526216598101886275498596151096, 238106903120732719172648604389824, 187769836800], 'label': '787500000.b.840._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052418
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 420, 'diagramx': None, 'generators': [7908880986952227990556608385256144774400, 64, 18315079063079665056887144448090, 2129297282819688710979100355182233725433, 486580401636537690, 2481793735357042089984000, 348713164800, 409056, 7900460938476573760461656678078006224615, 608358494990701923540343401156011193600], 'label': '787500000.b.840._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '840.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '840._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052419
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 875, 'diagramx': None, 'generators': [6083754757527079160570028749915410301496, 35367047974959294399515381416920, 13597035013150859733552664, 27439951015054631587557704889600, 96, 3650235896649127251458942545827629693496, 26584455357775409672107299632054140103, 911748349975250563823017345279926067233, 119019534357175672100631522347520, 2481793606933306470604864, 348713164833, 210599114461904943675846788376960], 'label': '787500000.b.875._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '875.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '875._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052420
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 875, 'diagramx': None, 'generators': [91579583342121040513073817216000, 13597035013150859733552664, 6083754757527079160570028749915410301496, 9157942499262960772841473451520, 3650235896649127251458942545827629693496, 2481793606933306470604864, 26584446232902810221783907246481034183, 192317105946113400197229816107520, 911748349975250563823017345279926067233, 27439951015054631587557705131520, 939280637400, 348713164833], 'label': '787500000.b.875._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '875.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '875._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052421
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [1451553, 280215936064, 90, 26584438305803368521974190072969098183, 35367049913860320040870797720960, 1294848838399804048569600, 384142422344496480, 8203850701881535177181644452108434869766, 608358513305779152199371584652829488480], 'label': '787500000.b.1008._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1008.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052422
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [1451553, 280215936064, 90, 26584438305803368521974191080746964383, 35367049913860320040870797720960, 8203850701881535177181644452926787330566, 1294848838399804048569600, 384142422344496480, 608358513305779152199371584652829488480], 'label': '787500000.b.1008._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1008.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052423
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [1451553, 280215936064, 8516441886174159232250521300755743257024, 1287993802200, 90, 35367049913860320040870797720960, 1294848838399804048569600, 384142422344496480, 608358513305779152199371584652829488480], 'label': '787500000.b.1008._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1008.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052424
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [1451553, 280215936064, 8516441886174159232250521300755743257024, 295767365645810420100732099038105507846, 90, 35367049913860320040870797720960, 1294848838399804048569600, 384142422344496480, 608358513305779152199371584652829488480], 'label': '787500000.b.1008._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1008.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052425
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [9733990718281069056231821496929090947890, 2701869901532692608160824795402274147776, 26584464514911326011428168432217218566, 187768627296, 280216344960, 9157942499263217579164557720993, 384142422343680064, 608358513305777857350533184848782128544, 1294848838400084263296000, 8956573679500830813830400], 'label': '787500000.b.105._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052426
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [295767365645810420100732099601589200646, 280215936064, 1451553, 8516441886174159232250521300755743257024, 90, 35367049913860320040870797720960, 1294848838399804048569600, 384142422344496480, 608358513305779152199371584652829488480], 'label': '787500000.b.1008._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1008.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052427
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [1451553, 280215936064, 8516441886174159232250521300755743257024, 90, 35367049913860320040870797720960, 1180931251106151596813731060980049459264, 1294848838399804048569600, 384142422344496480, 608358513305779152199371584652829488480], 'label': '787500000.b.1008._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1008.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052428
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [1451553, 280215936064, 8516441886174159232250521300755743257024, 1180931251106151596813731060602857472064, 90, 35367049913860320040870797720960, 1294848838399804048569600, 384142422344496480, 608358513305779152199371584652829488480], 'label': '787500000.b.1008._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1008.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1008._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052429
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [816570, 35367047974958936242258797995553, 96, 348713573760, 128424433046117856, 647475510142167658166913, 1180931196158416563390474438668005440064, 26584438305803368521974190072969098183], 'label': '787500000.b.5040._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5040.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5040._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052430
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [816570, 35367047974958936242258797995553, 96, 348713573760, 128424433046117856, 647475510142167658166913, 1180931196158416563390474438668005440064], 'label': '787500000.b.10080._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10080.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10080._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052431
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [816570, 35367047974958936242258797995553, 348713573760, 128424433046117856, 647475510142167658166913, 1180931196158416563390474438668005440064], 'label': '787500000.b.50400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052432
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [608358513305779152199371584840598115744], 'label': '787500000.b.157500000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '157500000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '157500000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052433
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': '787500000.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '787500000.b.787500000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '787500000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '787500000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052434
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [26584464514911326011428168432217218566, 93924639360, 9733990718281069703707331639002824067890, 9157942499263217579164557720993, 384142422343680064, 608358513305777857350533184848782128544, 348713164896, 1294848838400084263296000, 8956573679500830813830400, 2701869901532693903009663195206321507776], 'label': '787500000.b.105._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052435
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [26584464514911326011428168432217218566, 9157942499263217579164557720993, 384142422343680064, 608358513305777857350533184848782128544, 348713573760, 9733990718281070351080659896733138307890, 93924230496, 1294848838400084263296000, 8956573679500830813830400, 2701869901532695089954431728360031587776], 'label': '787500000.b.105._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052436
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1294848838400084263296000, 9733990718281070995133076913302338947890, 8956573679500830813830400, 187769036160, 384142422343680064, 26584464514911326011428168432217218566, 2701869901532693255636334937476007267776, 280215936096, 608358513305777857350533184848782128544, 9157942499263217579164557720993], 'label': '787500000.b.105._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052437
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [26584464514911326011428168432217218566, 96, 2701869901532694547062080211775522147776, 9157942499263217579164557720993, 384142422343680064, 608358513305777857350533184848782128544, 9733990718281071538025428429886848387890, 1294848838400084263296000, 8956573679500830813830400, 408960], 'label': '787500000.b.105._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052438
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [9733990718281070351080659896826982704690, 96, 8956573679501085602764800, 1294848838399991815987200, 9157942499263217579164557720993, 384142422343680064, 608358513305777857350533184848782128544, 26584464514908844217821235405962549766, 408960, 2701869901532693903009663195206321507776], 'label': '787500000.b.105._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052439
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [7769628910967677103750400, 26584464514911326011428168432217218566, 2701869901532693903009663195206321507680, 9157942499263217579164557720993, 384142422343680064, 9125632223290371553386468869188418947890, 608358513305777857350533184848782128544, 1294848838400084263296000, 280215936000, 409056], 'label': '787500000.b.105._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052440
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105, 'diagramx': None, 'generators': [1825126175708274763635366318804149424513, 608358513305779152199371584840598508864, 96, 35367049913860447376970057131553, 5770331805636551473000951060451090303903, 26584438305803368521974190072969098183, 1180931223598381175480221615532896695096, 9152216623700405997747340510655109094975, 187769836864, 816480, 128424433046117856, 1294849222542226391040000, 304187470334006380590754950147744716256], 'label': '787500000.b.105._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052441
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [816570, 35367047974958936242258797995553, 1180931214473497460788133848365958329696, 2432687037067509783704040053014291248513, 128424433046117856, 1938901741996868808768096, 10306563373658993535595948590825600844890, 93925681920], 'label': '787500000.b.10._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052442
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': '120.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [26584537812493925608274580950254338655, 647475510142167658166913, 96, 35367047974958936242258797995553, 1180931196158416563390474438668005440064, 295767457225396999610331960747710951006, 26584438305803368521974190072969098183, 348713573760, 128424433046117856, 816570, 7264686034842331056786812276076857136544], 'label': '787500000.b.120.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '120.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052443
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': '126.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126, 'diagramx': None, 'generators': [348713573824, 4858583491028352664418679845879558624549, 2481793606932957757848960, 90, 18315078415603668334760490374490, 26584438305803368521974190072969098183, 304187479491948336960466361012817984033, 1180931452547323016562336176985358013490, 11007018626188462368825600, 256806323085312090, 1209600, 1180931333527798371556193880944103986010], 'label': '787500000.b.126.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '126.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052444
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [64, 280216752480, 18315078415603925141083575293280, 486580681852473600, 1938901255416721962374400, 911748385342297995889857789198380319360, 6387942301090815713104861028699876016570, 1825126166583405401574502428558612088416], 'label': '787500000.b.140._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052445
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [1825126166583405401574502428558611453344, 187769836800, 486580401635736960, 911748385342297995889857789292224307200, 1451553, 1938901255416373248816480, 8785624778147112694269435961717294828864, 18315078415603925140828785542400], 'label': '787500000.b.140._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052446
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [7604693545356051059548669405837740894720, 486580401635736960, 911748385342297995889857789292224307200, 280216752480, 1825126166583405401574502428558611453280, 1938901255416373248816480, 408960, 18315078415603925140828785542400], 'label': '787500000.b.140._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052447
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [486580681852715584, 8213051994556958506389380110115034015393, 816576, 18315078415603925141083574885850, 1938901255416721962616384, 1825126166583405401574502428558611453313, 911748377415201035985297416345568825633, 280216345050], 'label': '787500000.b.140._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052448
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [348713573760, 486580401635736960, 911748385342297995889857789292224307200, 4562816052118041202667983073390173190490, 1825126166583405401574502428558611453370, 1938901255416373248816480, 1209690, 18315078415603925140828785542400], 'label': '787500000.b.140._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052449
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7, 'diagramx': None, 'generators': [1451584, 187769836800, 486580401635736960, 911748385342297995889857789292224307200, 1825126166583405401574502428558611453376, 1938901255416373248816480, 7264686109369931347100114214514410979770, 18315078415603925140828785542400], 'label': '787500000.b.140._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052450
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [304187470334004546272118470095209899520, 7908880905795393848096721155689261355520, 4562816079592756076817382081834100267520, 1770834979113822720, 155684451810089087240132479997400, 187768627290, 408960, 911748349975248082029667218457485312000, 27439951015054247445135360000064, 33, 3884866638041306037496353, 256806323086521600], 'label': '787500000.b.140._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052451
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [304187470334004546272118470095209899520, 7908880905795393848096721155689261355520, 4562816079592756076817382081834100267520, 155684451810089087240132479997400, 187768627290, 408960, 911748349975248082029667218457485312000, 27439951015054247445135360000064, 33, 3884866638041306037496353, 1033204867864, 256806323086521600], 'label': '787500000.b.140._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052452
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5, 'diagramx': None, 'generators': [2728454375240299932886607342072641660166, 26584438305803368521974190072969098246, 18315078415604154914907336374913, 384142702559616096, 8203850666514494968429938730657114050509, 608358522430651751649950695564181299296, 647475510142073733120096, 409056, 280215936064], 'label': '787500000.b.10._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052453
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [304187470334004546272118470095209899520, 7908880905795393848096721155689261355520, 4562816079592756076817382081834100267520, 155684451810089087240132479997400, 187768627290, 408960, 911748349975248082029667218457485312000, 27439951015054247445135360000064, 33, 599157165682635678031063066273540885799, 3884866638041306037496353, 256806323086521600], 'label': '787500000.b.140._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052454
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [304187470334004546272118470095209899520, 7908880905795393848096721155689261355520, 4562816079592756076817382081834100267520, 155684451810089087240132479997400, 187768627290, 408960, 911748349975248082029667218457485312000, 27439951015054247445135360000064, 33, 599157165682635678031705192671489641549, 3884866638041306037496353, 256806323086521600], 'label': '787500000.b.140._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052455
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [304187470334004546272118470095209899520, 7908880905795393848096721155689261355520, 4562816079592756076817382081834100267520, 155684451810089087240132479997400, 1770835541200427553, 187768627290, 408960, 911748349975248082029667218457485312000, 27439951015054247445135360000064, 33, 3884866638041306037496353, 256806323086521600], 'label': '787500000.b.140._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052456
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [304187470334004546272118470095209899520, 7908880905795393848096721155689261355520, 4562816079592756076817382081834100267520, 155684451810089087240132479997400, 187768627290, 408960, 911748349975248082029667218457485312000, 27439951015054247445135360000064, 33, 3884866638041306037496353, 256806323086521600, 599157165682635678031705193072631708839], 'label': '787500000.b.140._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052457
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35, 'diagramx': None, 'generators': [304187470334004546272118470095209899520, 7908880905795393848096721155689261355520, 4562816079592756076817382081834100267520, 155684451810089087240132479997400, 187768627290, 408960, 911748349975248082029667218457485312000, 599157165682635678031063065897745986503, 27439951015054247445135360000064, 33, 3884866638041306037496353, 256806323086521600], 'label': '787500000.b.140._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052458
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [6083754739177234191372433557909539550720, 35367050456752543175310478214400, 1451616, 9712169632242099921432960, 280217387584, 137369378570776517965836322782720, 1938901639558795593131520, 128424084333995520, 33, 26584438305815562484726784729012476166, 3953625806581408443369726205357221803584, 911748377415199744559424806015292413280], 'label': '787500000.b.140._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052459
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [6083754739177234191372433557909539550720, 35367050456752543175310478214400, 1451616, 9712169632242099921432960, 280217387584, 26584438305815562485855492159180802566, 137369378570776517965836322782720, 1938901639558795593131520, 128424084333995520, 33, 3953625806581408443369726205357221803584, 911748377415199744559424806015292413280], 'label': '787500000.b.140._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052460
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [6083754739177234191372433557909539550720, 35367050456752543175310478214400, 1451616, 9712169632242099921432960, 280217387584, 137369378570776517965836322782720, 1770834885269184000, 1938901639558795593131520, 33, 128424084333995520, 3953625806581408443369726205357221803584, 911748377415199744559424806015292413280], 'label': '787500000.b.140._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052461
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [155684451810089087240132479997400, 3884866638041306037496353, 911748349975248082029667218457485312000, 1770835541200427553, 599157165682635678031063066273540885799, 187768627290, 256806323086521600, 33, 408960, 304187470334004546272118470095209899520, 1033204867864, 27439951015054247445135360000064], 'label': '787500000.b.140._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 20052462
    {'ambient': '787500000.b', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70, 'diagramx': None, 'generators': [6083754739177234191372433557909539550720, 35367050456752543175310478214400, 1451616, 3953625806581408443370752474808097030464, 9712169632242099921432960, 280217387584, 26584438305815562485855492159180802566, 137369378570776517965836322782720, 1938901639558795593131520, 128424084333995520, 33, 911748377415199744559424806015292413280], 'label': '787500000.b.140._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '140.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '140._.R', 'subgroup_fusion': None, 'weyl_group': None}